Found 192 Documents (Results 1–100)
Empirical density estimation based on spline quasi-interpolation with applications to copulas clustering modeling. (English) Zbl 07900332
An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations. (English) Zbl 07870807
Model order reduction with novel discrete empirical interpolation methods in space-time. (English) Zbl 07866490
Parametric nonlinear model reduction using machine learning on Grassmann manifold with an application on a flow simulation. (English) Zbl 07846494
Advancing wave equation analysis in dual-continuum systems: a partial learning approach with discrete empirical interpolation and deep neural networks. (English) Zbl 07834872
Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations. (English) Zbl 07819050
A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 1534.65263
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. (English) Zbl 1533.92019
Efficient and accurate nonlinear model reduction via first-order empirical interpolation. (English) Zbl 07766226
Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation. (English) Zbl 1526.65057
Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. (English) Zbl 07745017
A localized reduced basis approach for unfitted domain methods on parameterized geometries. (English) Zbl 1539.65169
Analysis of an innovative sampling strategy based on \(k\)-means clustering algorithm for POD and POD-DEIM reduced order models of a 2-D reaction-diffusion system. (English) Zbl 07734811
Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization. (English) Zbl 07702620
On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation. (English) Zbl 07699014
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221
Reviewer: Marius Ghergu (Dublin)
Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 1539.65135
Dictionary-based model order reduction via POD-DEIM with support vector machine for the parametrized Burgers’ equation. (English) Zbl 1538.65449
A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces. (English) Zbl 1502.86003
Stabilized reduced-order models for unsteady incompressible flows in three-dimensional parametrized domains. (English) Zbl 1521.76320
A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations. (English) Zbl 07561089
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. (English) Zbl 1497.37106
An empirical interpolation method for two-dimensional vector fields and vector measurements. (English) Zbl 07865374
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. (English) Zbl 07515446
Feasibility of DEIM for retrieving the initial field via dimensionality reduction. (English) Zbl 07500740
Modified parareal method for solving the two-dimensional nonlinear shallow water equations using finite volumes. (English) Zbl 1518.76040
An extended DEIM algorithm for subset selection and class identification. (English) Zbl 07432815
MSC:
68T05
On the stability and accuracy of the empirical interpolation method and gravitational wave surrogates. (English) Zbl 1481.83037
Non-negative moment fitting quadrature rules for fictitious domain methods. (English) Zbl 1524.74427
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. (English) Zbl 1486.65169
Structure preserving model order reduction of shallow water equations. (English) Zbl 1484.65181
Reviewer: Petr Sváček (Praha)
Reduced-order modeling of nonlinear structural dynamical systems via element-wise stiffness evaluation procedure combined with hyper-reduction. (English) Zbl 07360516
MSC:
74-XX
Model order reduction in neuroscience. (English) Zbl 1467.93053
Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 237-259 (2021).
Computational bottlenecks for PROMs: precomputation and hyperreduction. (English) Zbl 1483.65154
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 181-243 (2021).
Reviewer: Yinhua Xia (Hefei)
Reduced basis methods. (English) Zbl 1476.65245
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 139-179 (2021).
Model order reduction by proper orthogonal decomposition. (English) Zbl 1467.35021
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 47-96 (2021).
Basic ideas and tools for projection-based model reduction of parametric partial differential equations. (English) Zbl 1518.65120
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 1-46 (2021).
Reviewer: Michael Jung (Dresden)
Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method. (English) Zbl 07704919
MSC:
65Nxx
Enhanced model-order reduction approach via online adaptation for parametrized nonlinear structural problems. (English) Zbl 1490.74121
Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework. (English) Zbl 1461.93057
Nonlinear model reduction: a comparison between POD-Galerkin and POD-DEIM methods. (English) Zbl 1502.76029
MSC:
76D25
Beyond Gaussian approximation: bootstrap for maxima of sums of independent random vectors. (English) Zbl 1461.62042
Reviewer: Thorsten Dickhaus (Bremen)
Convergence of Gaussian process regression with estimated hyper-parameters and applications in Bayesian inverse problems. (English) Zbl 1461.60022
Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. (English) Zbl 1453.65287
Reviewer: Abdallah Bradji (Annaba)
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. (English) Zbl 1453.65286
Reviewer: Abdallah Bradji (Annaba)
Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. (English) Zbl 1447.65067
Randomized discrete empirical interpolation method for nonlinear model reduction. (English) Zbl 07206903
POD-DEIM model order reduction for the monodomain reaction-diffusion sub-model of the neuro-muscular system. (English) Zbl 1428.93027
Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 177-190 (2020).
Implementation and detailed assessment of a GNAT reduced-order model for subsurface flow simulation. (English) Zbl 07581569
Reduced-order modelling for the Allen-Cahn equation based on scalar auxiliary variable approaches. (English) Zbl 1449.65284
Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem. (English) Zbl 1432.65148
Image processing algorithm based on bi-dimensional local mean decomposition. (English) Zbl 1479.94010
Weakly intrusive low-rank approximation method for nonlinear parameter-dependent equations. (English) Zbl 07099313
Nonintrusive approximation of parametrized limits of matrix power algorithms – application to matrix inverses and log-determinants. (English) Zbl 1416.65111
MSC:
65F30
65D05
Trajectory-based DEIM (TDEIM) model reduction applied to reservoir simulation. (English) Zbl 1411.86003
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. (English) Zbl 1404.65112
Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003
An improved EMD method with modified envelope algorithm based on \(C^2\) piecewise rational cubic spline interpolation for EMI signal decomposition. (English) Zbl 1423.94021
An improved empirical mode decomposition method based on the cubic trigonometric B-spline interpolation algorithm. (English) Zbl 1427.94021
A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095
Empirical likelihood and quantile methods for time series. Efficiency, robustness, optimality, and prediction. (English) Zbl 1418.62012
SpringerBriefs in Statistics. JSS Research Series in Statistics. Singapore: Springer (ISBN 978-981-10-0151-2/pbk; 978-981-10-0152-9/ebook). x, 136 p. (2018).
Reviewer: Jonas Šiaulys (Vilnius)
Uncertainty quantification for low-frequency, time-harmonic Maxwell equations with stochastic conductivity models. (English) Zbl 1405.35264
Energy preserving model order reduction of the nonlinear Schrödinger equation. (English) Zbl 1404.65310
A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems. (English) Zbl 1397.65180
Sensor placement in nuclear reactors based on the generalized empirical interpolation method. (English) Zbl 1392.82075
The discrete empirical interpolation method: canonical structure and formulation in weighted inner product spaces. (English) Zbl 1415.65107
An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem. (English) Zbl 1390.80017
Geometric subspace updates with applications to online adaptive nonlinear model reduction. (English) Zbl 1383.65034
POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification. (English) Zbl 1404.65140
Online interpolation point refinement for reduced-order models using a genetic algorithm. (English) Zbl 1383.65123
A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394
Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. (English) Zbl 1439.76064
Magic points in finance: empirical integration for parametric option pricing. (English) Zbl 1429.91320
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. (English) Zbl 1387.35353
Structure preserving model reduction of parametric Hamiltonian systems. (English) Zbl 1379.78019
Reviewer: Teodora-Liliana Rădulescu (Craiova)
A reduced-basis approach to two-phase flow in porous media. (English) Zbl 1365.76300
Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 477-486 (2017).
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