Found 214 Documents (Results 1–100)
A fast numerical method for the conductivity of heterogeneous media with Dirichlet boundary conditions based on discrete sine-cosine transforms. (English) Zbl 1539.74525
Accelerating exponential integrators to efficiently solve semilinear advection-diffusion-reaction equations. (English) Zbl 1535.65128
Reviewer: Kanakadurga Sivakumar (Chennai)
A fast butterfly-compressed Hadamard-Babich integrator for high-frequency Helmholtz equations in inhomogeneous media with arbitrary sources. (English) Zbl 1524.65193
Immersed virtual element methods for electromagnetic interface problems in three dimensions. (English) Zbl 1514.65164
An optimal preconditioned FFT-accelerated finite element solver for homogenization. (English) Zbl 1511.76085
Inexact GMRES iterations and relaxation strategies with fast-multipole boundary element method. (English) Zbl 1491.35350
Robust discretization and solvers for elliptic optimal control problems with energy regularization. (English) Zbl 1484.49048
Block-adaptive cross approximation of discrete integral operators. (English) Zbl 1489.65062
Reviewer: Michael Jung (Dresden)
Fast large-scale boundary element algorithms. (English) Zbl 1493.65250
Kozubek, Tomáš (ed.) et al., High performance computing in science and engineering. 4th international conference, HPCSE 2019, Karolinka, Czech Republic, May 20–23, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12456, 60-79 (2021).
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. (English) Zbl 07379634
Parallel skeletonization for integral equations in evolving multiply-connected domains. (English) Zbl 07378154
L-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equation. (English) Zbl 07506624
A quasi-fast solver for weakly singular integral equations of the second kind. (English) Zbl 1487.65201
Reviewer: Ilia V. Boikov (Penza)
Fast direct solvers for elliptic PDEs. (English) Zbl 1447.65003
CBMS-NSF Regional Conference Series in Applied Mathematics 96. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-603-8/pbk; 978-1-61197-604-5/ebook). xv, 315 p. (2020).
An introduction to numerical computation. 2nd edition. (English) Zbl 1483.65005
Hackensack, NJ: World Scientific (ISBN 978-981-12-0441-8/hbk; 978-981-120-518-7/pbk; 978-981-12-0443-2/ebook). xv, 322 p. (2020).
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Multigrid algorithm based on hybrid smoothers for variational and selective segmentation models. (English) Zbl 1499.65718
An efficient class of Traub-Steffensen-like seventh order multiple-root solvers with applications. (English) Zbl 1427.65071
An efficient method for two-fluid incompressible flows appropriate for the immersed boundary method. (English) Zbl 1416.76176
Eigenvalue topology optimization via efficient multilevel solution of the frequency response. (English) Zbl 07865076
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. (English) Zbl 1513.65132
Mitigating the influence of the boundary on PDE-based covariance operators. (English) Zbl 1401.65043
A fast direct solver for the advection-diffusion equation using low-rank approximation of the Green’s function. (English) Zbl 1382.65351
Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 423-435 (2017).
Efficient mesh deformation based on radial basis function interpolation by means of the inverse fast multipole method. (English) Zbl 1439.65211
MSC:
65N50
A combination of the fast multipole boundary element method and Krylov subspace recycling solvers. (English) Zbl 1403.65202
A fast block low-rank dense solver with applications to finite-element matrices. (English) Zbl 1349.65595
A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape. (English) Zbl 1381.76229
FFT, FMM, or multigrid? A comparative study of state-of-the-art Poisson solvers for uniform and nonuniform grids in the unit cube. (English) Zbl 1369.65138
A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions. (English) Zbl 1349.74353
Fast isogeometric solvers for explicit dynamics. (English) Zbl 1296.65129
MSC:
65M60
Fast domain decomposition type solver for stiffness matrices of reference \(p\)-elements. (English) Zbl 1393.65052
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. (English) Zbl 1349.65428
Two-grid methods for time-harmonic Maxwell equations. (English) Zbl 1289.78014
Reviewer: Wensheng Zhang (Beijing)
Multigrid methods for (multilevel) structured matrices associated with a symbol and related applications. (English) Zbl 1280.65033
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. (English) Zbl 1251.78013
Reviewer: Gunther Schmidt (Berlin)
A fast multiscale solver for modified Hammerstein equations. (English) Zbl 1250.65156
Reviewer: I. V. Boikov (Penza)
Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator. (English) Zbl 1432.31002
An adaptive fast direct solver for boundary integral equations in two dimensions. (English) Zbl 1227.65118
Multigrid techniques. 1984 guide with applications to fluid dynamics. Revised ed. (English) Zbl 1227.65121
Classics in Applied Mathematics 67. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611970-74-6/pbk; 978-1-611970-75-3/ebook). xxi, 218 p. (2011).
Reviewer: Dietrich Braess (Bochum)
Reduced-rank approximations to the far-field transform in the gridded fast multipole method. (English) Zbl 1364.78032
Domain decomposition solvers for frequency-domain finite element equations. (English) Zbl 1217.65186
Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 301-308 (2011).
MSC:
65M55
Global error estimates for a uniparametric family of stiffly accurate Runge-Kutta collocation methods on singularly perturbed problems. (English) Zbl 1217.65158
Reviewer: Joseph Páez Chávez (Guayaquil)
A fast BEM for the analysis of damaged structures with bonded piezoelectric sensors. (English) Zbl 1227.74102
Adaptive time-stepping for incompressible flow. II: Navier-Stokes equations. (English) Zbl 1410.76293
A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems. (English) Zbl 1202.74192
Network delay inference from additive metrics. (English) Zbl 1201.90048
Reviewer: Hang Lau (Montréal)
Universal quadratures for boundary integral equations on two-dimensional domains with corners. (English) Zbl 1201.65213
The fast multipole method and Fourier convolution for the solution of acoustic scattering on regular volumetric grids. (English) Zbl 1220.76054
Efficient discretization of Laplace boundary integral equations on polygonal domains. (English) Zbl 1185.65219
An indirect-forcing immersed boundary method for incompressible viscous flows with interfaces on irregular domains. (English) Zbl 1364.76140
An optimization-based approach for the design of PDE solution algorithms. (English) Zbl 1203.65097
Reviewer: Hang Lau (Montréal)
Phase field computations for surface diffusion and void electromigration in \({\mathbb{R}^3}\). (English) Zbl 1259.78038
Univariate subdivision and multi-scale transforms: the nonlinear case. (English) Zbl 1190.65204
DeVore, Ronald (ed.) et al., Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-03412-1/hbk; 978-3-642-03413-8/ebook). 203-247 (2009).
Block-diagonal preconditioning for spectral stochastic finite-element systems. (English) Zbl 1169.65007
Reviewer: Grigori N. Milstein (Ekaterinburg)
A first course in the numerical analysis of differential equations. 2nd ed. (English) Zbl 1171.65060
Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-73490-5/pbk). xix, 459 p. (2009).
Reviewer: Rolf Dieter Grigorieff (Berlin)
An implicit-forcing immersed interface method for the incompressible Navier-Stokes equations. (English) Zbl 1306.76032
Khoo, Boo Cheong (ed.) et al., Moving interface problems and applications in fluid dynamics. Program on moving interface problems and applications in fluid dynamics, Singapore, January 8 – March 31, 2007. Selected papers. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4267-6/pbk). Contemporary Mathematics 466, 73-93 (2008).
Fast domain decomposition algorithm discretizations of 3-d elliptic equations by spectral elements. (English) Zbl 1194.65140
An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains. (English) Zbl 1158.76407
Relaxed forms of BBK algorithm and FBP algorithm for symmetric indefinite linear systems. (English) Zbl 1149.65018
Reviewer: Constantin Popa (Constanţa)
MSC:
65F05
Applied computational fluid dynamics techniques. An introduction based on finite element methods. 2nd ed. (English) Zbl 1151.76002
Chichester: John Wiley & Sons (ISBN 978-0-470-51907-3/hbk; 978-0-470-98974-6/ebook). xviii, 519 p. (2008).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Why finite element discretizations can be factored by triangular hierarchical matrices. (English) Zbl 1152.65042
Reviewer: Gudula Rünger (Chemnitz)
An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries. (English) Zbl 1158.74349
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. (English) Zbl 1105.65115
Fast solvers of integral equations of the second kind: quadrature methods. (English) Zbl 1079.65138
Reviewer: Iulian Coroian (Baia Mare)
A domain decomposition method using efficient interface-acting preconditioners. (English) Zbl 1072.65162
Reviewer: Karel Najzar (Praha)
Fast solvers of integral equations of the second kind: wavelet methods. (English) Zbl 1071.65185
Reviewer: Seenith Sivasundaram (Daytona Beach)
Laplace’s equation and the Dirichlet-Neumann map: a new mode for Mikhlin’s method. (English) Zbl 1063.65130
Asynchronous fast adaptive composite-grid methods for elliptic problems: theoretical foundations. (English) Zbl 1079.65120
Reviewer: Vladimir L. Makarov (Kyïv)
Fast adaptive domain decomposition algorithms for \(hp\)-discretizations of 2-D and 3-D elliptic equations: recent advances. (English) Zbl 1061.65136
Lipitakis, Elias A. (ed.), HERCMA 2003. Proceedings of the 6th Hellenic-European conference on computer mathematics and its applications, Athens, Greece, September 25–27, 2003. 2 volumes. Athens: LEA (ISBN 960-87275-1-0/set; 960-87275-2-9/v.1; 960-87275-3-7/v.2). 23-36 (2004).
Workbook for numerical mathematics. Problems, solutions and applications. (Übungsbuch zur numerischen Mathematik. Aufgaben, Lösungen und Anwendungen.) (German) Zbl 1067.65002
Wiesbaden: Vieweg (ISBN 3-528-03209-X/pbk). viii, 223 p. (2004).
Reviewer: Michael Jung (Dresden)
Numerical mathematical compact. Fundamentals for studies and practice. 2nd, revised ed. (Numerische Mathematik kompakt. Grundlagenwissen für Studium und Praxis.) (German) Zbl 1067.65001
Wiesbaden: Vieweg (ISBN 3-528-13153-5/pbk). xvi, 414 p. (2004).
Reviewer: Michael Jung (Dresden)
A kernel-independent adaptive fast multipole algorithm in two and three dimensions. (English) Zbl 1053.65095
A unified approach to fast image registration and a new curvature based registration technique. (English) Zbl 1072.68631
A fast solver for the Stokes equations with distributed forces in complex geometries. (English) Zbl 1047.76065
Fast adaptive domain decomposition algorithms for \(hp\)-discretizations of 2-\(D\) and 3-\(D\) elliptic equations: recent advances. (English) Zbl 1069.65136
Fast integral equation solvers in computational electromagnetics of complex structures. (English) Zbl 1045.78004
MSC:
78M25
65R20
On fast domain decomposition solving procedures for \(hp\)-discretizations of 3-D elliptic problems. (English) Zbl 1038.65133
Reviewer: Xavier Antoine (Toulouse)
B-spline methods in fluid dynamics. (English) Zbl 1115.76382
MSC:
76M25
76D05
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