×
Edit Profile (opens in new tab)

Nobile, Fabio

Co-Author Distance
Author ID: nobile.fabio Recent zbMATH articles by "Nobile, Fabio"
Published as: Nobile, Fabio; Nobile, F.
External Links: MGP
Documents Indexed: 115 Publications since 1999, including 8 Additional arXiv Preprints
5 Contributions as Editor
Co-Authors: 110 Co-Authors with 119 Joint Publications
2,612 Co-Co-Authors
all top 5

Co-Authors

1 single-authored
37 Tempone, Raúl F.
11 Tamellini, Lorenzo
9 Formaggia, Luca
9 Vergara, Christian
8 Migliorati, Giovanni
7 Babuška, Ivo
7 Bonizzoni, Francesca
7 Quarteroni, Alfio M.
6 Haji-Ali, Abdul-Lateef
5 Kazashi, Yoshihito
5 Sangalli, Laura Maria
4 Beck, Joakim
4 Krumscheid, Sebastian
4 Vanzan, Tommaso
4 Veneziani, Alessandro
4 von Schwerin, Erik
3 Arnone, Eleonora
3 Azzimonti, Laura
3 Chernov, Alexey
3 Gerbeau, Jean-Frédéric
3 Guignard, Diane
3 Kressner, Daniel
3 Martin, Matthieu
3 Musharbash, Eleonora
3 Perugia, Ilaria
3 Picasso, Marco
3 Pradovera, Davide
3 Vidličková, Eva
2 Badia, Santiago
2 Brugiapaglia, Simone
2 Castrillon-Candas, Julio Enrique
2 Cohen, Albert
2 Deparis, Simone
2 Gerardo-Giorda, Luca
2 Hoel, Håkon Andreas
2 Kneip, Alois Richard
2 Kuo, Frances Y.
2 Law, Kody J. H.
2 Madrigal-Cianci, Juan P.
2 Micheletti, Stefano
2 Mirabella, Lucia
2 Motamed, Mohammad
2 Oden, John Tinsley
2 Perotto, Simona
2 Pisaroni, M.
2 Pozzoli, Matteo
2 Secchi, Piercesare
2 Taddei, Tommaso
2 Tesei, Francesco
2 Trindade, Thomas Trigo
2 Tsilifis, Panagiotis A.
2 Webster, Clayton G.
2 Wolfers, Sören
1 Abdulle, Assyr
1 Africa, Pasquale Claudio
1 Ambrosi, Davide
1 Arioli, Gianni
1 Bäck, Joakim
1 Buffa, Annalisa
1 Bui, Duc Quang
1 Catanzariti, Domenico
1 Causin, Paola
1 Centonze, Maurizio
1 Chamoin, Ludovic
1 Chkifa, Abdellah
1 Ciaramella, Gabriele
1 Collier, Nathan
1 Colombo, Ivo
1 Debussche, Arnaud
1 Del Greco, Maurizio
1 Demattè, Cristina
1 Domanin, Maurizio
1 Ehrlacher, Virginie
1 Ernst, Oliver G.
1 Faggiano, Elena
1 Faou, Erwan
1 Feng, Yusheng
1 Fernández, Miguel Ángel
1 Ganesh, Sundar
1 Goutaudier, Dimitri
1 Grote, Marcus J.
1 Kaarnioja, Vesa
1 Kumar, Rajesh
1 Latz, Jonas
1 Lombardi, Damiano
1 Maines, Massimiliano
1 Michel, Simon R. J.
1 Mollo, Pierre
1 Moura, Alexandra B.
1 Mula, Olga
1 Nuyens, Dirk
1 Palamara, Simone
1 Papaioannou, Iason
1 Perego, Mauro
1 Pischiutta, Matteo
1 Porta, Giovanni Michele
1 Prudhomme, Serge
1 Rey, Valentine
1 Ruiz-Baier, Ricardo
1 Schiffmann, Jürg
...and 10 more Co-Authors
all top 5

Serials

13 Computer Methods in Applied Mechanics and Engineering
8 Journal of Computational Physics
8 Numerische Mathematik
8 SIAM/ASA Journal on Uncertainty Quantification
7 SIAM Journal on Numerical Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computers & Mathematics with Applications
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Mathematics of Computation
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Scientific Computing
2 IMA Journal of Numerical Analysis
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Journal of Multivariate Analysis
2 Advances in Computational Mathematics
2 Foundations of Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Computers and Fluids
1 International Journal of Engineering Science
1 Journal of the American Statistical Association
1 Journal of Approximation Theory
1 Journal of Complexity
1 Constructive Approximation
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Numerical Linear Algebra with Applications
1 East-West Journal of Numerical Mathematics
1 Statistica Sinica
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Oberwolfach Reports
1 Lecture Notes in Computational Science and Engineering
1 International Journal for Numerical Methods in Biomedical Engineering
1 Statistics and Computing
1 Communications in Applied and Industrial Mathematics
all top 5

Fields

84 Numerical analysis (65-XX)
51 Partial differential equations (35-XX)
29 Probability theory and stochastic processes (60-XX)
26 Fluid mechanics (76-XX)
22 Biology and other natural sciences (92-XX)
18 Mechanics of deformable solids (74-XX)
17 Approximations and expansions (41-XX)
15 Statistics (62-XX)
4 General and overarching topics; collections (00-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Operations research, mathematical programming (90-XX)
4 Systems theory; control (93-XX)
3 Optics, electromagnetic theory (78-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

101 Publications have been cited 3,863 times in 2,090 Documents Cited by ▼ Year ▼
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
454
2007
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
396
2008
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
307
2005
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, F.; Tempone, R.; Webster, C. G.
219
2008
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Zbl 1007.74035
Formaggia, L.; Gerbeau, J. F.; Nobile, F.; Quarteroni, A.
184
2001
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
165
2010
Fluid-structure partitioned procedures based on Robin transmission conditions. Zbl 1140.74010
Badia, Santiago; Nobile, Fabio; Vergara, Christian
131
2008
A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements. Zbl 0942.65113
Formaggia, L.; Nobile, F.
105
1999
An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions. Zbl 1168.74038
Nobile, F.; Vergara, C.
105
2008
Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison. Zbl 1216.65004
Bäck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
89
2011
Multiscale modelling of the circulatory system: a preliminary analysis. Zbl 1067.76624
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio; Veneziani, Alessandro
85
1999
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
73
2012
Numerical treatment of defective boundary conditions for the Navier-Stokes equations. Zbl 1020.35070
Formaggia, L.; Gerbeau, J.-F.; Nobile, F.; Quarteroni, A.
70
2002
Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems. Zbl 1228.76079
Badia, Santiago; Nobile, Fabio; Vergara, Christian
60
2009
Multi-index Monte Carlo: when sparsity meets sampling. Zbl 1339.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl
58
2016
Stability analysis of second-order time accurate schemes for ALE-FEM. Zbl 1175.76091
Formaggia, Luca; Nobile, Fabio
57
2004
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
53
2015
Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004
Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul
51
2015
Error analysis of the dynamically orthogonal approximation of time dependent random PDEs. Zbl 1320.65149
Musharbash, E.; Nobile, F.; Zhou, T.
48
2015
Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
45
2014
Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems. Zbl 1392.74075
Gerardo-Giorda, Luca; Nobile, Fabio; Vergara, Christian
42
2010
Approximation of quantities of interest in stochastic PDEs by the random discrete \(L^2\) projection on polynomial spaces. Zbl 1276.65004
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
40
2013
Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations. Zbl 1443.65316
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F.
38
2016
An active strain electromechanical model for cardiac tissue. Zbl 1242.92016
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R.
37
2012
Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients. Zbl 1176.76110
Nobile, F.; Tempone, Raul
37
2009
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009
Formaggia, Luca; Moura, Alexandra; Nobile, Fabio
37
2007
Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients. Zbl 1350.65003
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
36
2014
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
36
2011
A stochastic collocation method for the second-order wave equation with a discontinuous random speed. Zbl 1268.65008
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
32
2013
Optimization of mesh hierarchies in multilevel Monte Carlo samplers. Zbl 1359.65013
Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
26
2016
Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: Application to random elliptic PDEs. Zbl 1351.41004
Nobile, F.; Tamellini, L.; Tempone, R.
25
2016
Multi-index stochastic collocation for random PDEs. Zbl 1436.65196
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
24
2016
A model-based block-triangular preconditioner for the bidomain system in electrocardiology. Zbl 1187.92053
Gerardo-Giorda, L.; Mirabella, L.; Nobile, F.; Perego, M.; Veneziani, A.
24
2009
A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria. Zbl 1139.74012
Babuška, I.; Nobile, F.; Tempone, R.
24
2008
An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient. Zbl 1339.65016
Nobile, Fabio; Tamellini, Lorenzo; Tesei, Francesco; Tempone, Raúl
24
2016
Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics. Zbl 1290.76166
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
23
2013
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems. Zbl 1049.65123
Prudhomme, S.; Nobile, F.; Chamoin, L.; Oden, J. T.
21
2004
Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. Zbl 1380.35171
Musharbash, Eleonora; Nobile, Fabio
21
2018
A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients. Zbl 1334.60133
Nobile, Fabio; Tesei, Francesco
21
2015
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty. Zbl 1143.74373
Oden, J. Tinsley; Babuška, Ivo; Nobile, Fabio; Feng, Yusheng; Tempone, Raul
20
2005
Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity. Zbl 1371.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
20
2016
Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. Zbl 1351.76324
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
19
2014
Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. Zbl 1492.35394
Martin, Matthieu; Krumscheid, Sebastian; Nobile, Fabio
19
2021
A continuation multi level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics. Zbl 1439.76135
Pisaroni, M.; Nobile, F.; Leyland, P.
19
2017
Partitioned algorithms for fluid-structure interaction problems in haemodynamics. Zbl 1344.76099
Nobile, Fabio; Vergara, Christian
18
2012
Worst case scenario analysis for elliptic problems with uncertainty. Zbl 1082.65115
Babuška, I.; Nobile, F.; Tempone, R.
18
2005
Blood flow velocity field estimation via spatial regression with PDE penalization. Zbl 1373.62534
Azzimonti, Laura; Sangalli, Laura M.; Secchi, Piercesare; Domanin, Maurizio; Nobile, Fabio
18
2015
Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. Zbl 1320.62076
Migliorati, Giovanni; Nobile, Fabio
17
2015
A one-dimensional model for blood flow: Application to vascular prosthesis. Zbl 1001.76127
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio
17
2002
A posteriori error estimation for the stochastic collocation finite element method. Zbl 1402.65159
Guignard, Diane; Nobile, Fabio
16
2018
Analysis and computation of the elastic wave equation with random coefficients. Zbl 1443.65264
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
16
2015
Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275
Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare
14
2014
Reliability of computational science. Zbl 1118.65030
Babuška, I.; Nobile, F.; Tempone, R.
13
2007
Symplectic dynamical low rank approximation of wave equations with random parameters. Zbl 1479.65009
Musharbash, Eleonora; Nobile, Fabio; Vidličková, Eva
13
2020
Modeling spatially dependent functional data via regression with differential regularization. Zbl 1415.62016
Arnone, Eleonora; Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.
12
2019
Function integration, reconstruction and approximation using rank-\(1\) lattices. Zbl 1466.42002
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk
11
2021
A quasi-optimal sparse grids procedure for groundwater flows. Zbl 1417.76040
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
11
2014
Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006
Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul
10
2021
Uncertainty quantification of geochemical and mechanical compaction in layered sedimentary basins. Zbl 1439.74400
Colombo, Ivo; Nobile, Fabio; Porta, Giovanni; Scotti, Anna; Tamellini, Lorenzo
10
2018
Quantifying uncertain system outputs via the multilevel Monte Carlo method. I: Central moment estimation. Zbl 1440.65008
Krumscheid, S.; Nobile, F.; Pisaroni, M.
10
2020
Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. Zbl 1352.65018
Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
9
2015
A posteriori error estimation for elliptic partial differential equations with small uncertainties. Zbl 1350.65007
Guignard, Diane; Nobile, Fabio; Picasso, Marco
9
2016
PDE-constrained optimal control problems with uncertain parameters using SAGA. Zbl 1473.35611
Martin, Matthieu; Nobile, Fabio
9
2021
Perturbation analysis for the Darcy problem with log-normal permeability. Zbl 1311.76130
Bonizzoni, Francesca; Nobile, Fabio
9
2014
Implementation of optimal Galerkin and collocation approximations of PDEs with random coefficients. Zbl 1302.65249
Beck, J.; Nobile, F.; Tamellini, L.; Tempone, R.
9
2011
Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term. Zbl 1305.78015
Bonizzoni, Francesca; Buffa, Annalisa; Nobile, Fabio
9
2014
Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. Zbl 1327.41004
Migliorati, Giovanni; Nobile, Fabio; Tempone, Raúl
9
2015
An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology. Zbl 1352.92090
Palamara, Simone; Vergara, Christian; Faggiano, Elena; Nobile, Fabio
8
2015
Low-rank tensor approximation for high-order correlation functions of Gaussian random fields. Zbl 1322.65027
Kressner, Daniel; Kumar, Rajesh; Nobile, Fabio; Tobler, Christine
8
2015
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
8
2020
Sparse polynomial chaos expansions using variational relevance vector machines. Zbl 1437.62114
Tsilifis, Panagiotis; Papaioannou, Iason; Straub, Daniel; Nobile, Fabio
8
2020
Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. Zbl 1371.41004
Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio
8
2017
Formulation of the static frame problem. Zbl 1388.74115
8
2008
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. Zbl 07437243
Kazashi, Yoshihito; Nobile, Fabio; Vidličková, Eva
8
2021
Tensor train approximation of moment equations for elliptic equations with lognormal coefficient. Zbl 1439.65149
Bonizzoni, F.; Nobile, F.; Kressner, D.
7
2016
A hybrid collocation-perturbation approach for PDEs with random domains. Zbl 1479.65033
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F.
7
2021
Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. Zbl 1171.76436
Nobile, F.
7
2009
An a posteriori error estimator for model adaptivity in electrocardiology. Zbl 1230.92026
Mirabella, L.; Nobile, F.; Veneziani, A.
7
2011
A theoretical study of compressed solving for advection-diffusion-reaction problems. Zbl 1376.65127
Brugiapaglia, Simone; Nobile, Fabio; Micheletti, Stefano; Perotto, Simona
7
2018
Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria
7
2018
Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
6
2020
Multilevel Monte Carlo approximation of functions. Zbl 1490.65023
Krumscheid, Sebastian; Nobile, Fabio
6
2018
A posteriori error estimation for the steady Navier-Stokes equations in random domains. Zbl 1439.76022
Guignard, Diane; Nobile, Fabio; Picasso, Marco
5
2017
Generalized parallel tempering on Bayesian inverse problems. Zbl 1476.62015
Latz, Jonas; Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl
5
2021
Stable high-order randomized cubature formulae in arbitrary dimension. Zbl 1504.65080
Migliorati, Giovanni; Nobile, Fabio
5
2022
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Zbl 1495.41003
Kaarnioja, Vesa; Kazashi, Yoshihito; Kuo, Frances Y.; Nobile, Fabio; Sloan, Ian H.
4
2022
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. Zbl 1528.65117
Nobile, Fabio; Pradovera, Davide
3
2021
Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. Zbl 1480.35414
Kazashi, Yoshihito; Nobile, Fabio
3
2021
Some first results on the consistency of spatial regression with partial differential equation regularization. Zbl 1524.62166
Arnone, Eleonora; Kneip, Alois; Nobile, Fabio; Sangalli, Laura M.
3
2022
Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. Zbl 1394.65010
Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
2
2018
Fluid structure interaction in blood flow problems. Zbl 0949.74044
Nobile, F.; Veneziani, A.
2
1999
Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation. Zbl 1329.86005
Pischiutta, Matteo; Formaggia, Luca; Nobile, Fabio
2
2011
Preconditioners for robust optimal control problems under uncertainty. Zbl 07675621
Nobile, Fabio; Vanzan, Tommaso
2
2023
Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem. Zbl 1524.76444
Bonizzoni, Francesca; Nobile, Fabio
2
2020
Quantifying uncertainties in contact mechanics of rough surfaces using the Multilevel Monte Carlo method. Zbl 1425.74345
Rey, Valentine; Krumscheid, S.; Nobile, F.
2
2019
Multilevel weighted least squares polynomial approximation. Zbl 1439.41011
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
1
2020
Numerical mathematics and advanced applications – ENUMATH 2013. Proceedings of ENUMATH 2013, the 10th European conference on numerical mathematics and advanced applications, Lausanne, Switzerland, August 26–30, 2013. Zbl 1304.65003
1
2015
A new method to interpolate POD reduced bases – application to the parametric model order reduction of a gas bearings supported rotor. Zbl 1531.65211
Goutaudier, Dimitri; Nobile, Fabio; Schiffmann, Jürg
1
2023
Analysis of a class of multilevel Markov chain Monte Carlo algorithms based on independent Metropolis-Hastings. Zbl 1518.35680
Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl
1
2023
A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients. Zbl 1497.65192
Nobile, Fabio; Vidličková, Eva
1
2021
A combination technique for optimal control problems constrained by random PDEs. Zbl 07896957
Nobile, Fabio; Vanzan, Tommaso
1
2024
Preconditioners for robust optimal control problems under uncertainty. Zbl 07675621
Nobile, Fabio; Vanzan, Tommaso
2
2023
A new method to interpolate POD reduced bases – application to the parametric model order reduction of a gas bearings supported rotor. Zbl 1531.65211
Goutaudier, Dimitri; Nobile, Fabio; Schiffmann, Jürg
1
2023
Analysis of a class of multilevel Markov chain Monte Carlo algorithms based on independent Metropolis-Hastings. Zbl 1518.35680
Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl
1
2023
Stable high-order randomized cubature formulae in arbitrary dimension. Zbl 1504.65080
Migliorati, Giovanni; Nobile, Fabio
5
2022
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Zbl 1495.41003
Kaarnioja, Vesa; Kazashi, Yoshihito; Kuo, Frances Y.; Nobile, Fabio; Sloan, Ian H.
4
2022
Some first results on the consistency of spatial regression with partial differential equation regularization. Zbl 1524.62166
Arnone, Eleonora; Kneip, Alois; Nobile, Fabio; Sangalli, Laura M.
3
2022
Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. Zbl 1492.35394
Martin, Matthieu; Krumscheid, Sebastian; Nobile, Fabio
19
2021
Function integration, reconstruction and approximation using rank-\(1\) lattices. Zbl 1466.42002
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk
11
2021
Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006
Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul
10
2021
PDE-constrained optimal control problems with uncertain parameters using SAGA. Zbl 1473.35611
Martin, Matthieu; Nobile, Fabio
9
2021
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. Zbl 07437243
Kazashi, Yoshihito; Nobile, Fabio; Vidličková, Eva
8
2021
A hybrid collocation-perturbation approach for PDEs with random domains. Zbl 1479.65033
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F.
7
2021
Generalized parallel tempering on Bayesian inverse problems. Zbl 1476.62015
Latz, Jonas; Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl
5
2021
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. Zbl 1528.65117
Nobile, Fabio; Pradovera, Davide
3
2021
Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. Zbl 1480.35414
Kazashi, Yoshihito; Nobile, Fabio
3
2021
A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients. Zbl 1497.65192
Nobile, Fabio; Vidličková, Eva
1
2021
Symplectic dynamical low rank approximation of wave equations with random parameters. Zbl 1479.65009
Musharbash, Eleonora; Nobile, Fabio; Vidličková, Eva
13
2020
Quantifying uncertain system outputs via the multilevel Monte Carlo method. I: Central moment estimation. Zbl 1440.65008
Krumscheid, S.; Nobile, F.; Pisaroni, M.
10
2020
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
8
2020
Sparse polynomial chaos expansions using variational relevance vector machines. Zbl 1437.62114
Tsilifis, Panagiotis; Papaioannou, Iason; Straub, Daniel; Nobile, Fabio
8
2020
Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
6
2020
Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem. Zbl 1524.76444
Bonizzoni, Francesca; Nobile, Fabio
2
2020
Multilevel weighted least squares polynomial approximation. Zbl 1439.41011
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
1
2020
Modeling spatially dependent functional data via regression with differential regularization. Zbl 1415.62016
Arnone, Eleonora; Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.
12
2019
Quantifying uncertainties in contact mechanics of rough surfaces using the Multilevel Monte Carlo method. Zbl 1425.74345
Rey, Valentine; Krumscheid, S.; Nobile, F.
2
2019
Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. Zbl 1380.35171
Musharbash, Eleonora; Nobile, Fabio
21
2018
A posteriori error estimation for the stochastic collocation finite element method. Zbl 1402.65159
Guignard, Diane; Nobile, Fabio
16
2018
Uncertainty quantification of geochemical and mechanical compaction in layered sedimentary basins. Zbl 1439.74400
Colombo, Ivo; Nobile, Fabio; Porta, Giovanni; Scotti, Anna; Tamellini, Lorenzo
10
2018
A theoretical study of compressed solving for advection-diffusion-reaction problems. Zbl 1376.65127
Brugiapaglia, Simone; Nobile, Fabio; Micheletti, Stefano; Perotto, Simona
7
2018
Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria
7
2018
Multilevel Monte Carlo approximation of functions. Zbl 1490.65023
Krumscheid, Sebastian; Nobile, Fabio
6
2018
Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. Zbl 1394.65010
Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
2
2018
A continuation multi level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics. Zbl 1439.76135
Pisaroni, M.; Nobile, F.; Leyland, P.
19
2017
Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. Zbl 1371.41004
Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio
8
2017
A posteriori error estimation for the steady Navier-Stokes equations in random domains. Zbl 1439.76022
Guignard, Diane; Nobile, Fabio; Picasso, Marco
5
2017
Multi-index Monte Carlo: when sparsity meets sampling. Zbl 1339.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl
58
2016
Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations. Zbl 1443.65316
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F.
38
2016
Optimization of mesh hierarchies in multilevel Monte Carlo samplers. Zbl 1359.65013
Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
26
2016
Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: Application to random elliptic PDEs. Zbl 1351.41004
Nobile, F.; Tamellini, L.; Tempone, R.
25
2016
Multi-index stochastic collocation for random PDEs. Zbl 1436.65196
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
24
2016
An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient. Zbl 1339.65016
Nobile, Fabio; Tamellini, Lorenzo; Tesei, Francesco; Tempone, Raúl
24
2016
Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity. Zbl 1371.65009
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
20
2016
A posteriori error estimation for elliptic partial differential equations with small uncertainties. Zbl 1350.65007
Guignard, Diane; Nobile, Fabio; Picasso, Marco
9
2016
Tensor train approximation of moment equations for elliptic equations with lognormal coefficient. Zbl 1439.65149
Bonizzoni, F.; Nobile, F.; Kressner, D.
7
2016
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
53
2015
Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004
Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul
51
2015
Error analysis of the dynamically orthogonal approximation of time dependent random PDEs. Zbl 1320.65149
Musharbash, E.; Nobile, F.; Zhou, T.
48
2015
A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients. Zbl 1334.60133
Nobile, Fabio; Tesei, Francesco
21
2015
Blood flow velocity field estimation via spatial regression with PDE penalization. Zbl 1373.62534
Azzimonti, Laura; Sangalli, Laura M.; Secchi, Piercesare; Domanin, Maurizio; Nobile, Fabio
18
2015
Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. Zbl 1320.62076
Migliorati, Giovanni; Nobile, Fabio
17
2015
Analysis and computation of the elastic wave equation with random coefficients. Zbl 1443.65264
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
16
2015
Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. Zbl 1352.65018
Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
9
2015
Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. Zbl 1327.41004
Migliorati, Giovanni; Nobile, Fabio; Tempone, Raúl
9
2015
An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology. Zbl 1352.92090
Palamara, Simone; Vergara, Christian; Faggiano, Elena; Nobile, Fabio
8
2015
Low-rank tensor approximation for high-order correlation functions of Gaussian random fields. Zbl 1322.65027
Kressner, Daniel; Kumar, Rajesh; Nobile, Fabio; Tobler, Christine
8
2015
Numerical mathematics and advanced applications – ENUMATH 2013. Proceedings of ENUMATH 2013, the 10th European conference on numerical mathematics and advanced applications, Lausanne, Switzerland, August 26–30, 2013. Zbl 1304.65003
1
2015
Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
45
2014
Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients. Zbl 1350.65003
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
36
2014
Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. Zbl 1351.76324
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
19
2014
Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275
Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare
14
2014
A quasi-optimal sparse grids procedure for groundwater flows. Zbl 1417.76040
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl
11
2014
Perturbation analysis for the Darcy problem with log-normal permeability. Zbl 1311.76130
Bonizzoni, Francesca; Nobile, Fabio
9
2014
Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term. Zbl 1305.78015
Bonizzoni, Francesca; Buffa, Annalisa; Nobile, Fabio
9
2014
Approximation of quantities of interest in stochastic PDEs by the random discrete \(L^2\) projection on polynomial spaces. Zbl 1276.65004
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
40
2013
A stochastic collocation method for the second-order wave equation with a discontinuous random speed. Zbl 1268.65008
Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl
32
2013
Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics. Zbl 1290.76166
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian
23
2013
On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo
73
2012
An active strain electromechanical model for cardiac tissue. Zbl 1242.92016
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R.
37
2012
Partitioned algorithms for fluid-structure interaction problems in haemodynamics. Zbl 1344.76099
Nobile, Fabio; Vergara, Christian
18
2012
Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison. Zbl 1216.65004
Bäck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul
89
2011
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
36
2011
Implementation of optimal Galerkin and collocation approximations of PDEs with random coefficients. Zbl 1302.65249
Beck, J.; Nobile, F.; Tamellini, L.; Tempone, R.
9
2011
An a posteriori error estimator for model adaptivity in electrocardiology. Zbl 1230.92026
Mirabella, L.; Nobile, F.; Veneziani, A.
7
2011
Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation. Zbl 1329.86005
Pischiutta, Matteo; Formaggia, Luca; Nobile, Fabio
2
2011
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
165
2010
Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems. Zbl 1392.74075
Gerardo-Giorda, Luca; Nobile, Fabio; Vergara, Christian
42
2010
Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems. Zbl 1228.76079
Badia, Santiago; Nobile, Fabio; Vergara, Christian
60
2009
Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients. Zbl 1176.76110
Nobile, F.; Tempone, Raul
37
2009
A model-based block-triangular preconditioner for the bidomain system in electrocardiology. Zbl 1187.92053
Gerardo-Giorda, L.; Mirabella, L.; Nobile, F.; Perego, M.; Veneziani, A.
24
2009
Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. Zbl 1171.76436
Nobile, F.
7
2009
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
396
2008
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, F.; Tempone, R.; Webster, C. G.
219
2008
Fluid-structure partitioned procedures based on Robin transmission conditions. Zbl 1140.74010
Badia, Santiago; Nobile, Fabio; Vergara, Christian
131
2008
An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions. Zbl 1168.74038
Nobile, F.; Vergara, C.
105
2008
A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria. Zbl 1139.74012
Babuška, I.; Nobile, F.; Tempone, R.
24
2008
Formulation of the static frame problem. Zbl 1388.74115
8
2008
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
454
2007
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009
Formaggia, Luca; Moura, Alexandra; Nobile, Fabio
37
2007
Reliability of computational science. Zbl 1118.65030
Babuška, I.; Nobile, F.; Tempone, R.
13
2007
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
307
2005
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty. Zbl 1143.74373
Oden, J. Tinsley; Babuška, Ivo; Nobile, Fabio; Feng, Yusheng; Tempone, Raul
20
2005
Worst case scenario analysis for elliptic problems with uncertainty. Zbl 1082.65115
Babuška, I.; Nobile, F.; Tempone, R.
18
2005
Stability analysis of second-order time accurate schemes for ALE-FEM. Zbl 1175.76091
Formaggia, Luca; Nobile, Fabio
57
2004
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems. Zbl 1049.65123
Prudhomme, S.; Nobile, F.; Chamoin, L.; Oden, J. T.
21
2004
Numerical treatment of defective boundary conditions for the Navier-Stokes equations. Zbl 1020.35070
Formaggia, L.; Gerbeau, J.-F.; Nobile, F.; Quarteroni, A.
70
2002
A one-dimensional model for blood flow: Application to vascular prosthesis. Zbl 1001.76127
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio
17
2002
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Zbl 1007.74035
Formaggia, L.; Gerbeau, J. F.; Nobile, F.; Quarteroni, A.
184
2001
A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements. Zbl 0942.65113
Formaggia, L.; Nobile, F.
105
1999
Multiscale modelling of the circulatory system: a preliminary analysis. Zbl 1067.76624
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio; Veneziani, Alessandro
85
1999
...and 1 more Documents
all cited Publications top 5 cited Publications
all top 5

Cited by 3,219 Authors

75 Nobile, Fabio
50 Quarteroni, Alfio M.
45 Tempone, Raúl F.
32 Schwab, Christoph
28 Vergara, Christian
26 Harbrecht, Helmut
23 Karniadakis, George Em
21 Fernández, Miguel Ángel
20 Lin, Guang
19 Čanić, Sunčica
19 Narayan, Akil C.
19 Tamellini, Lorenzo
18 Bukač, Martina
18 Doostan, Alireza
18 Multerer, Michael D.
17 Veneziani, Alessandro
17 Webster, Clayton G.
17 Zhou, Tao
16 Cohen, Albert
16 Dede’, Luca
16 Gunzburger, Max Donald
16 Jakeman, John Davis
15 Eigel, Martin
15 Formaggia, Luca
14 Blanco, Pablo Javier
14 Gerbeau, Jean-Frédéric
14 Sangalli, Laura Maria
14 Wall, Wolfgang A.
14 Wick, Thomas
13 Iaccarino, Gianluca
13 Ruiz-Baier, Ricardo
13 Zhang, Guannan
13 Zhang, Zhiwen
12 Badia, Santiago
12 Chen, Peng
12 Degroote, Joris
12 Geraci, Gianluca
12 Matthies, Hermann Georg
12 Oden, John Tinsley
12 Xiu, Dongbin
11 Babuška, Ivo
11 Jiang, Nan
11 Le Maître, Olivier P.
11 Migliorati, Giovanni
11 Rozza, Gianluigi
11 Scheichl, Robert
10 Adcock, Ben
10 Guo, Ling
10 Haji-Ali, Abdul-Lateef
10 Kuo, Frances Y.
10 Martínez-Frutos, Jesús
10 Nouy, Anthony
10 Yu, Yue
10 Zabaras, Nicholas J.
10 Zunino, Paolo
9 Babaee, Hessam
9 Bazilevs, Yuri
9 Bonizzoni, Francesca
9 Dölz, Jürgen
9 Feijóo, Raúl Antonino
9 Ghanem, Roger G.
9 Griebel, Michael
9 Grigoriu, Mircea Dan
9 Motamed, Mohammad
9 Muha, Boris
9 Nuyens, Dirk
9 Peherstorfer, Benjamin
9 Periago, Francisco
9 Scacchi, Simone
9 Taylor, Charles A.
9 Witteveen, Jeroen A. S.
9 Yang, Huanhuan
9 Yang, Xiu
8 Burman, Erik
8 Chamoin, Ludovic
8 Congedo, Pietro Marco
8 Eldred, Michael S.
8 Gizzi, Alessio
8 Gorodetsky, Alex Arkady
8 Hughes, Thomas J. R.
8 Jasra, Ajay
8 Knio, Omar M.
8 Marsden, Alison L.
8 Phipps, Eric T.
8 Prudhomme, Serge
8 Toro, Eleuterio Francisco
8 Vierendeels, Jan
8 Zech, Jakob
7 Arnone, Eleonora
7 Bachmayr, Markus
7 Beck, Joakim
7 Bijl, Hester
7 Codina, Ramon
7 Deparis, Simone
7 Dexter, Nick C.
7 Dolgov, Sergey V.
7 Guidoboni, Giovanna
7 Houzeaux, Guillaume
7 Jiang, Lijian
7 Kaarnioja, Vesa
...and 3,119 more Authors
all top 5

Cited in 244 Serials

296 Journal of Computational Physics
282 Computer Methods in Applied Mechanics and Engineering
100 SIAM/ASA Journal on Uncertainty Quantification
95 International Journal for Numerical Methods in Engineering
85 SIAM Journal on Scientific Computing
61 Journal of Scientific Computing
45 Numerische Mathematik
44 Computational Mechanics
42 Computers & Mathematics with Applications
39 SIAM Journal on Numerical Analysis
38 Computers and Fluids
36 Journal of Computational and Applied Mathematics
35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Mathematics of Computation
19 Applied Numerical Mathematics
18 BIT
18 Numerical Methods for Partial Differential Equations
18 Advances in Computational Mathematics
17 Applied Mathematical Modelling
17 International Journal for Numerical Methods in Biomedical Engineering
16 International Journal for Numerical Methods in Fluids
16 Applied Mathematics and Computation
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 Communications in Computational Physics
14 International Journal of Computer Mathematics
12 Computational Geosciences
12 Archives of Computational Methods in Engineering
12 Multiscale Modeling & Simulation
10 Journal of Complexity
10 Numerical Algorithms
9 Numerical Linear Algebra with Applications
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Stochastic and Partial Differential Equations. Analysis and Computations
8 Mathematics and Computers in Simulation
8 Foundations of Computational Mathematics
8 International Journal of Computational Methods
8 Statistics and Computing
7 Journal of Fluid Mechanics
7 Journal of Mathematical Analysis and Applications
7 Mathematical Methods in the Applied Sciences
7 Journal of Multivariate Analysis
7 SIAM Journal on Control and Optimization
7 Constructive Approximation
7 Computational and Applied Mathematics
7 Mathematical Problems in Engineering
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Vietnam Journal of Mathematics
7 European Journal of Mechanics. A. Solids
7 Nonlinear Analysis. Real World Applications
7 Acta Mechanica Sinica
6 Inverse Problems
6 Applications of Mathematics
6 International Journal of Computational Fluid Dynamics
6 Journal of Mathematical Fluid Mechanics
6 Computational Methods in Applied Mathematics
6 Acta Numerica
6 East Asian Journal on Applied Mathematics
5 Computer Physics Communications
5 Journal of Approximation Theory
5 Journal of Differential Equations
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Applied Mathematics Letters
5 SIAM Review
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 European Journal of Mechanics. B. Fluids
5 Journal of Applied Mathematics and Computing
5 International Journal of Numerical Analysis and Modeling
5 GEM - International Journal on Geomathematics
5 Journal of Theoretical Biology
4 International Journal of Engineering Science
4 Journal of Engineering Mathematics
4 Journal of Mathematical Biology
4 Mathematical Biosciences
4 Calcolo
4 Physica D
4 SIAM Journal on Applied Mathematics
4 Communications in Numerical Methods in Engineering
4 Engineering Analysis with Boundary Elements
4 Computing and Visualization in Science
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Quantitative Finance
4 Structural and Multidisciplinary Optimization
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Mathematics in Engineering
4 SMAI Journal of Computational Mathematics
4 Sampling Theory, Signal Processing, and Data Analysis
3 Archive for Rational Mechanics and Analysis
3 Wave Motion
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Bulletin of Mathematical Biology
3 Theoretical and Computational Fluid Dynamics
3 Applied Mathematics and Optimization
3 Chinese Annals of Mathematics. Series B
3 SIAM Journal on Mathematical Analysis
3 SIAM Journal on Optimization
3 Computational Optimization and Applications
3 Chaos
3 Optimization and Engineering
3 Journal of Numerical Mathematics
3 Mathematical Biosciences and Engineering
...and 144 more Serials
all top 5

Cited in 45 Fields

1,391 Numerical analysis (65-XX)
693 Fluid mechanics (76-XX)
598 Partial differential equations (35-XX)
563 Mechanics of deformable solids (74-XX)
400 Probability theory and stochastic processes (60-XX)
302 Biology and other natural sciences (92-XX)
249 Statistics (62-XX)
112 Approximations and expansions (41-XX)
85 Calculus of variations and optimal control; optimization (49-XX)
59 Computer science (68-XX)
55 Systems theory; control (93-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
44 Operations research, mathematical programming (90-XX)
37 Optics, electromagnetic theory (78-XX)
32 Geophysics (86-XX)
28 Statistical mechanics, structure of matter (82-XX)
27 Ordinary differential equations (34-XX)
27 Dynamical systems and ergodic theory (37-XX)
26 Information and communication theory, circuits (94-XX)
22 Classical thermodynamics, heat transfer (80-XX)
21 Operator theory (47-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
14 Functional analysis (46-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Special functions (33-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Integral equations (45-XX)
9 Mechanics of particles and systems (70-XX)
8 Quantum theory (81-XX)
7 Real functions (26-XX)
7 Differential geometry (53-XX)
6 General and overarching topics; collections (00-XX)
6 Combinatorics (05-XX)
5 Mathematical logic and foundations (03-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Functions of a complex variable (30-XX)
2 Number theory (11-XX)
2 General topology (54-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year