## SIAM Journal on Scientific Computing

 Short Title: SIAM J. Sci. Comput. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 1064-8275; 1095-7197/e Online: http://epubs.siam.org/loi/sjoce3 Predecessor: SIAM Journal on Scientific and Statistical Computing Comments: Indexed cover-to-cover
 Documents Indexed: 4,869 Publications (since 1993) References Indexed: 1,910 Publications with 79,116 References.
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### Latest Issues

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### Authors

 42 Manteuffel, Thomas A. 38 Karniadakis, George Em 34 McCormick, Steve Fahrney 34 Saad, Yousef 34 Vassilevski, Panayot Spirov 28 Ng, Michael Kwok-Po 27 Cai, Xiao-Chuan 27 Gander, Martin Jakob 25 Higham, Nicholas J. 24 Shu, Chi-Wang 22 Ghattas, Omar N. 20 Chan, Tony Fan-Cheong 20 Elman, Howard C. 20 Oosterlee, Cornelis Willebrordus 20 Xiu, Dongbin 19 Ainsworth, Mark 19 MacLachlan, Scott P. 19 Shen, Jie 19 Yavneh, Irad 18 Benzi, Michele 18 Russo, Giovanni 18 Trefethen, Lloyd Nicholas 17 Benner, Peter 17 Keyes, David Elliot 17 Narayan, Akil C. 17 Tůma, Miroslav 17 Ying, Lexing 16 De Sterck, Hans 16 Falgout, Robert D. 16 Rokhlin, Vladimir 16 Rüde, Ulrich 16 Simoncini, Valeria 16 Vandewalle, Stefan G. 16 Wathen, Andrew John 15 Adler, James H. 15 Biros, George 15 Demmel, James Weldon 15 Greengard, Leslie F. 15 Kilmer, Misha Elena 15 Klawonn, Axel 15 Willcox, Karen E. 15 Wohlmuth, Barbara I. 14 Golub, Gene Howard 14 Silvester, David J. 14 Stathopoulos, Andreas 13 Aykanat, Cevdet 13 Bao, Weizhu 13 Chan, Raymond Hon-Fu 13 de Sturler, Eric 13 Gugercin, Serkan 13 Jin, Shi 13 Kelley, Carl T. 13 Kolev, Tzanio V. 13 Reusken, Arnold 13 Sandu, Adrian 13 Tuminaro, Ray S. 12 Ascher, Uri M. 12 Brandt, Achi E. 12 Bui-Thanh, Tan 12 Duff, Iain S. 12 Marzouk, Youssef M. 12 Olson, Luke N. 12 Pavarino, Luca Franco 12 Szyld, Daniel B. 11 Cai, Zhenning 11 Chow, Edmond G. W. 11 Chung, Julianne M. 11 Giraud, Luc 11 Haber, Eldad 11 Hansen, Per Christian 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 11 Oseledets, Ivan V. 11 Peskin, Charles S. 11 Petzold, Linda Ruth 11 Quarteroni, Alfio M. 11 Scott, Jennifer A. 11 Shadid, John N. 11 Wen, Zaiwen 11 Zhou, Tao 10 Constantine, Paul G. 10 Du, Qiang 10 Grigori, Laura 10 Hesthaven, Jan S. 10 Hu, Xiaozhe 10 Kirby, Robert M. II 10 Knepley, Matthew G. 10 Le Maître, Olivier P. 10 Lu, Jianfeng 10 Meerbergen, Karl 10 Notay, Yvan 10 O’Leary, Dianne P. 10 Pareschi, Lorenzo 10 Puppo, Gabriella 10 Ruge, John W. 10 Schroder, Jacob B. 10 Southworth, Ben S. 10 Townsend, Alex 10 Turner, Ian William ...and 6,352 more Authors
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### Fields

 4,418 Numerical analysis (65-XX) 1,661 Partial differential equations (35-XX) 815 Fluid mechanics (76-XX) 320 Computer science (68-XX) 305 Calculus of variations and optimal control; optimization (49-XX) 267 Linear and multilinear algebra; matrix theory (15-XX) 264 Operations research, mathematical programming (90-XX) 255 Probability theory and stochastic processes (60-XX) 221 Statistics (62-XX) 213 Mechanics of deformable solids (74-XX) 203 Optics, electromagnetic theory (78-XX) 200 Ordinary differential equations (34-XX) 176 Statistical mechanics, structure of matter (82-XX) 167 Biology and other natural sciences (92-XX) 163 Approximations and expansions (41-XX) 133 Dynamical systems and ergodic theory (37-XX) 120 Systems theory; control (93-XX) 112 Information and communication theory, circuits (94-XX) 95 Integral equations (45-XX) 90 Geophysics (86-XX) 79 Combinatorics (05-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 67 Quantum theory (81-XX) 66 Mechanics of particles and systems (70-XX) 63 Classical thermodynamics, heat transfer (80-XX) 52 Operator theory (47-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Special functions (33-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Potential theory (31-XX) 33 Integral transforms, operational calculus (44-XX) 28 Real functions (26-XX) 23 Differential geometry (53-XX) 23 Astronomy and astrophysics (85-XX) 22 Functions of a complex variable (30-XX) 21 Functional analysis (46-XX) 15 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 7 Relativity and gravitational theory (83-XX) 6 Field theory and polynomials (12-XX) 6 Manifolds and cell complexes (57-XX) 4 Mathematics education (97-XX) 3 Measure and integration (28-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

4,274 Publications have been cited 72,792 times in 39,269 Documents Cited by Year
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
2002
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
1999
A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129
Karypis, George; Kumar, Vipin
1999
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
1995
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169
Chaturantabut, Saifon; Sorensen, Danny C.
2010
A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022
1993
The MATLAB ODE suite. Zbl 0868.65040
Shampine, Lawrence F.; Reichelt, Mark W.
1997
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
2005
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
2004
Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014
Jiang, Guang-Shan; Peng, Danping
2000
Tensor-train decomposition. Zbl 1232.15018
Oseledets, I. V.
2011
Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097
Shen, Jie
1994
A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077
Xu, Jinchao
1994
The use of the $$L$$-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030
Hansen, Per Christian; O’Leary, Dianne Prost
1993
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
2005
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
2000
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
2000
Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008
Jin, Shi
1999
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
1998
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
1996
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
1997
Iterative methods for total variation denoising. Zbl 0847.65083
Vogel, C. R.; Oman, M. E.
1996
Alternating direction algorithms for $$\ell_1$$-problems in compressive sensing. Zbl 1256.65060
Yang, Junfeng; Zhang, Yin
2011
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
1999
Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058
Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E.
2005
Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033
van den Berg, Ewout; Friedlander, Michael P.
2008
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214
Fang, F.; Oosterlee, C. W.
2008
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
2005
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
2001
An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070
1999
On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088
Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M.
1997
A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031
Cai, Xiao-Chuan; Sarkis, Marcus
1999
Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050
Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M.
1993
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
2007
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025
Bao, Weizhu; Du, Qiang
2004
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
2011
A simple method for compressible multifluid flows. Zbl 0957.76057
Saurel, Richard; Abgrall, Rémi
1999
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028
Knyazev, Andrew V.
2001
Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009
2006
Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044
Gu, Ming; Eisenstat, Stanley C.
1996
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
2003
A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
2003
Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011
Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I.
2010
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2013
p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106
Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
2011
Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031
Grote, Marcus J.; Huckle, Thomas
1997
A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. Zbl 1410.76464
Shen, Jie; Yang, Xiaofeng
2010
Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089
Levy, Doron; Puppo, Gabriella; Russo, Giovanni
2000
Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061
Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric
2002
A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052
Penzl, Thilo
2000
Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107
Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa
2000
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187
Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng
2014
Three-dimensional front tracking. Zbl 0912.65075
Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni
1998
A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022
Freund, Roland W.
1993
A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038
Simoncini, V.
2007
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095
1998
A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065
Gassner, Gregor J.
2013
Fractional spectral collocation method. Zbl 1294.65097
2014
Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064
Gander, Martin J.; Vandewalle, Stefan
2007
A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110
Zhang, Zhimin; Naga, Ahmed
2005
Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028
Oseledets, I. V.; Tyrtyshnikov, E. E.
2009
Fast Fourier transforms for nonequispaced data. Zbl 0791.65108
Dutt, A.; Rokhlin, V.
1993
A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038
Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung
1999
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2006
The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436
2008
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315
Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos
2011
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
2006
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028
Al-Mohy, Awad H.; Higham, Nicholas J.
2011
Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017
Forsyth, P. A.; Vetzal, K. R.
2002
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027
Benzi, Michele; Tuma, Miroslav
1998
Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084
Soize, Christian; Ghanem, Roger
2004
Algorithms for numerical analysis in high dimensions. Zbl 1085.65045
Beylkin, Gregory; Mohlenkamp, Martin J.
2005
Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089
Liska, Richard; Wendroff, Burton
2003
Iterative Bregman projections for regularized transportation problems. Zbl 1319.49073
Benamou, Jean-David; Carlier, Guillaume; Cuturi, Marco; Nenna, Luca; Peyré, Gabriel
2015
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113
Shen, Jie
1995
A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307
Fornberg, Bengt; Piret, Cécile
2007
Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
1998
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, Kevin; Hale, Nicholas; Kay, David
2012
A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194
Wang, Hong; Basu, Treena S.
2012
The method of regularized stokeslets. Zbl 1064.76080
Cortez, Ricardo
2001
A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054
John, Volker; Kaya, Songul
2005
Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149
Dietrich, C. R.; Newsam, G. N.
1997
On the numerical integration of ordinary differential equations by symmetric composition methods. Zbl 0821.65048
McLachlan, Robert I.
1995
Entropy stable spectral collocation schemes for the Navier-Stokes equations: discontinuous interfaces. Zbl 1457.65140
Carpenter, Mark H.; Fisher, Travis C.; Nielsen, Eric J.; Frankel, Steven H.
2014
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
2008
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
2015
Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113
Lubich, Christian; Schädle, Achim
2002
Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088
Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V.
1993
Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042
Zhang, Zhenyue; Zha, Hongyuan
2004
Numerical challenges in the use of polynomial chaos representations for stochastic processes. Zbl 1072.60042
Debusschere, Bert J.; Najm, Habib N.; Pébay, Philippe P.; Knio, Omar M.; Ghanem, Roger G.; Le Maître, Olivier P.
2004
On the compression of low rank matrices. Zbl 1083.65042
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V.
2005
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
2006
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
1996
Recycling Krylov subspaces for sequences of linear systems. Zbl 1123.65022
Parks, Michael L.; De Sturler, Eric; Mackey, Greg; Johnson, Duane D.; Maiti, Spandan
2006
A stochastic Newton MCMC method for large-scale statistical inverse problems with application to seismic inversion. Zbl 1250.65011
Martin, James; Wilcox, Lucas C.; Burstedde, Carsten; Ghattas, Omar
2012
Approximation error analysis of some deep backward schemes for nonlinear PDEs. Zbl 1490.65231
Germain, Maximilien; Pham, Huyên; Warin, Xavier
2022
Grassmannian diffusion maps-based dimension reduction and classification for high-dimensional data. Zbl 1489.53136
dos Santos, Ketson R.; Giovanis, Dimitrios G.; Shields, Michael D.
2022
Computing sensitivities in evolutionary systems: a real-time reduced order modeling strategy. Zbl 1487.37100
Donello, Michael; Carpenter, Mark H.; Babaee, Hessam
2022
Parallel algorithms for tensor train arithmetic. Zbl 1484.65088
Al Daas, Hussam; Ballard, Grey; Benner, Peter
2022
Space-time block preconditioning for incompressible flow. Zbl 1482.65042
Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J.
2022
Efficient numerical algorithms for the generalized Langevin equation. Zbl 07482209
Leimkuhler, Benedict; Sachs, Matthias
2022
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids. Zbl 1489.65142
Giuliani, Andrew
2022
Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. I: The linear setting. Zbl 1490.65178
Southworth, Ben S.; Krzysik, Oliver; Pazner, Will; De Sterck, Hans
2022
Second order ADER scheme for unsteady advection-diffusion on moving overset grids with a compact transmission condition. Zbl 1489.65127
Bergmann, Michel; Carlino, Michele Giuliano; Iollo, Angelo
2022
Semiautomatic task graph construction for $$\mathcal{H}$$-matrix arithmetic. Zbl 07495529
Börm, Steffen; Christophersen, Sven; Kriemann, Ronald
2022
Textbook efficiency: massively parallel matrix-free multigrid for the Stokes system. Zbl 07511032
Kohl, Nils; Rüde, Ulrich
2022
High order semi-implicit WENO schemes for all-Mach full Euler system of gas dynamics. Zbl 07511035
Boscarino, Sebastiano; Qiu, Jingmei; Russo, Giovanni; Xiong, Tao
2022
Stochastic learning approach for binary optimization: application to Bayesian optimal design of experiments. Zbl 07511036
Attia, Ahmed; Leyffer, Sven; Munson, Todd S.
2022
Conservative and accurate solution transfer between high-order and low-order refined finite element spaces. Zbl 1480.65340
Kolev, Tzanio; Pazner, Will
2022
PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis. Zbl 1481.65009
Zhang, Hong; Constantinescu, Emil M.; Smith, Barry F.
2022
Multilevel spectral domain decomposition. Zbl 1482.65223
Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne
2022
Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn local binary fitting model. Zbl 07471649
Liu, Chaoyu; Qiao, Zhonghua; Zhang, Qian
2022
An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems. Zbl 1484.65226
Liu, Yong; Lu, Jianfang; Shu, Chi-Wang
2022
Learning interaction kernels in mean-field equations of first-order systems of interacting particles. Zbl 07471652
Lang, Quanjun; Lu, Fei
2022
Unbiased MLMC stochastic gradient-based optimization of Bayesian experimental designs. Zbl 1484.62101
2022
A decoupling and linearizing discretization for weakly coupled poroelasticity with nonlinear permeability. Zbl 07525080
Altmann, Robert; Maier, Roland
2022
A robust algebraic domain decomposition preconditioner for sparse normal equations. Zbl 07525082
Al Daas, Hussam; Jolivet, Pierre; Scott, Jennifer A.
2022
Improving “Fast iterative shrinkage-thresholding algorithm”: Faster, smarter, and greedier. Zbl 07525083
Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane
2022
Energy-preserving continuous-stage exponential Runge-Kutta integrators for efficiently solving Hamiltonian systems. Zbl 07525084
Mei, Lijie; Huang, Li; Wu, Xinyuan
2022
Data-driven algorithms for signal processing with trigonometric rational functions. Zbl 07537252
Wilber, Heather; Damle, Anil; Townsend, Alex
2022
A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. Zbl 1490.65212
Walloth, Mirjam; Wollner, Winnifried
2022
Sequential active learning of low-dimensional model representations for reliability analysis. Zbl 07537256
Ehre, Max; Papaioannou, Iason; Sudret, Bruno; Straub, Daniel
2022
Compact exponential conservative approaches for the Schrödinger equation in the semiclassical regimes. Zbl 07537257
Cai, Jiaxiang; Liang, Hua
2022
Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 07537258
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B.
2022
Derivative interpolating subspace frameworks for nonlinear eigenvalue problems. Zbl 07556274
Aziz, Rifqi; Mengi, Emre; Voigt, Matthias
2022
Explicit stabilized multirate method for stiff stochastic differential equations. Zbl 1491.60115
Abdulle, Assyr; Rosilho de Souza, Giacomo
2022
Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. Zbl 07576738
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc
2022
Understanding and mitigating gradient flow pathologies in physics-informed neural networks. Zbl 07395804
Wang, Sifan; Teng, Yujun; Perdikaris, Paris
2021
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. Zbl 1468.65119
Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
2021
Adaptive deep learning for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1467.49028
Nakamura-Zimmerer, Tenavi; Gong, Qi; Kang, Wei
2021
An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre
2021
On a novel fully decoupled, second-order accurate energy stable numerical scheme for a binary fluid-surfactant phase-field model. Zbl 1478.65100
Yang, Xiaofeng
2021
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong
2021
Deep splitting method for parabolic PDEs. Zbl 07395807
Beck, Christian; Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Neufeld, Ariel
2021
Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1471.65184
Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K.
2021
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. Zbl 1481.65142
Liao, Hong-Lin; Tang, Tao; Zhou, Tao
2021
Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2021
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065
Bai, Zhong-Zhi; Wu, Wen-Ting
2021
Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: applications to Keller-Segel and Poisson-Nernst-Planck equations. Zbl 07364339
Huang, Fukeng; Shen, Jie
2021
A multilevel Schwarz preconditioner based on a hierarchy of robust coarse spaces. Zbl 07364342
Al Daas, Hussam; Grigori, Laura; Jolivet, Pierre; Tournier, Pierre-Henri
2021
Sparse Cholesky factorization by Kullback-Leibler minimization. Zbl 07364386
Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman
2021
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628
Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo
2021
An all-At-once preconditioner for evolutionary partial differential equations. Zbl 07379636
Lin, Xue-lei; Ng, Michael
2021
Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041
Benner, Peter; Goyal, Pawan
2021
Physics-informed neural networks with hard constraints for inverse design. Zbl 1478.35242
Lu, Lu; Pestourie, Raphaël; Yao, Wenjie; Wang, Zhicheng; Verdugo, Francesc; Johnson, Steven G.
2021
The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 1473.65331
Mirzaei, Davoud
2021
Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris; Kweyu, Cleophas; Stein, Matthias
2021
Butterfly factorization via randomized matrix-vector multiplications. Zbl 1462.65044
Liu, Yang; Xing, Xin; Guo, Han; Michielssen, Eric; Ghysels, Pieter; Li, Xiaoye Sherry
2021
Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. Zbl 1467.65023
Higham, Nicholas J.; Pranesh, Srikara
2021
A multifidelity ensemble Kalman filter with reduced order control variates. Zbl 1467.62153
Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian
2021
Adaptive Hamiltonian variational integrators and applications to symplectic accelerated optimization. Zbl 1483.37099
Duruisseaux, Valentin; Schmitt, Jeremy; Leok, Melvin
2021
A random batch Ewald method for particle systems with Coulomb interactions. Zbl 07379627
Jin, Shi; Li, Lei; Xu, Zhenli; Zhao, Yue
2021
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 1486.65259
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2021
Solving inverse stochastic problems from discrete particle observations using the Fokker-Planck equation and physics-informed neural networks. Zbl 1480.35377
Chen, Xiaoli; Yang, Liu; Duan, Jinqiao; Karniadakis, George Em
2021
Score-based parameter estimation for a class of continuous-time state space models. Zbl 07378169
Beskos, Alexandros; Crisan, Dan; Jasra, Ajay; Kantas, Nikolas; Ruzayqat, Hamza
2021
Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. Zbl 1456.49038
Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin
2021
Preconditioning the mass matrix for high order finite element approximation on tetrahedra. Zbl 1466.65174
Ainsworth, Mark; Jiang, Shuai
2021
Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. Zbl 1466.65150
Wu, Kailiang; Xing, Yulong
2021
Hyperbolicity-preserving and well-balanced stochastic Galerkin method for shallow water equations. Zbl 1471.65114
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil
2021
FLUPS: a Fourier-based library of unbounded Poisson solvers. Zbl 1464.35063
Caprace, Denis-Gabriel; Gillis, Thomas; Chatelain, Philippe
2021
Overlapping multipatch isogeometric method with minimal stabilization. Zbl 1475.65185
Antolin, Pablo; Buffa, Annalisa; Puppi, Riccardo; Wei, Xiaodong
2021
Discontinuous Galerkin Galerkin differences for the wave equation in second-order form. Zbl 1482.65178
Banks, J. W.; Buckner, B. Brett; Hagstrom, T.; Juhnke, K.
2021
Computing multiple solutions of topology optimization problems. Zbl 1472.35308
Papadopoulos, Ioannis P. A.; Farrell, Patrick E.; Surowiec, Thomas M.
2021
Accurate front capturing asymptotic preserving scheme for nonlinear gray radiative transfer equation. Zbl 1469.65141
Tang, Min; Wang, Li; Zhang, Xiaojiang
2021
The aggregated unfitted finite element method on parallel tree-based adaptive meshes. Zbl 1472.65141
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc
2021
Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. Zbl 07439856
Wu, Kailiang
2021
Actor-critic method for high dimensional static Hamilton-Jacobi-Bellman partial differential equations based on neural networks. Zbl 1481.65203
Zhou, Mo; Han, Jiequn; Lu, Jianfeng
2021
High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension. Zbl 1490.65192
Fu, Pei; Kreiss, Gunilla
2021
Algorithms for the rational approximation of matrix-valued functions. Zbl 07395803
Gosea, Ion Victor; Güttel, Stefan
2021
Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation. Zbl 1482.65142
Hou, Dianming; Xu, Chuanju
2021
Generating extreme-scale matrices with specified singular values or condition number. Zbl 1462.65041
Fasi, Massimiliano; Higham, Nicholas J.
2021
Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2021
An iterative least-squares method for generated Jacobian equations in freeform optical design. Zbl 1465.78001
Romijn, L. B.; ten Thije Boonkkamp, J. H. M.; Anthonissen, M. J. H.; Jzerman, W. L.
2021
Computing edge states without hard truncation. Zbl 1468.65113
Thicke, Kyle; Watson, Alexander B.; Lu, Jianfeng
2021
Robust alternating direction implicit solver in quantized tensor formats for a three-dimensional elliptic PDE. Zbl 1465.65122
Rakhuba, M.
2021
Fast variable density 3-D node generation. Zbl 1468.65214
van der Sande, Kiera; Fornberg, Bengt
2021
Closed form dispersion corrections including a real shifted wavenumber for finite difference discretizations of 2D constant coefficient Helmholtz problems. Zbl 1464.35064
Cocquet, Pierre-Henri; Gander, Martin J.; Xiang, Xueshuang
2021
Variational Bayes’ method for functions with applications to some inverse problems. Zbl 1467.62045
Jia, Junxiong; Zhao, Qian; Xu, Zongben; Meng, Deyu; Leung, Yee
2021
A conservative fully discrete numerical method for the regularized shallow water wave equations. Zbl 1468.65146
Mitsotakis, Dimitrios; Ranocha, Hendrik; Ketcheson, David I.; Süli, Endre
2021
A least squares radial basis function finite difference method with improved stability properties. Zbl 1472.65153
Tominec, Igor; Larsson, Elisabeth; Heryudono, Alfa
2021
A parallel cyclic reduction algorithm for pentadiagonal systems with application to a convection-dominated Heston PDE. Zbl 07364306
Ghosh, Abhijit; Mishra, Chittaranjan
2021
A unified structure preserving scheme for a multispecies model with a gradient flow structure and nonlocal interactions via singular kernels. Zbl 1469.65142
Zhang, Yong; Zhao, Yu; Zhou, Zhennan
2021
Numerical approximation of the displacement formulation of the axisymmetric acoustic vibration problem. Zbl 1479.65022
Querales, José; Rodríguez, Rodolfo; Venegas, Pablo
2021
Data-driven learning of nonautonomous systems. Zbl 07364312
Qin, Tong; Chen, Zhen; Jakeman, John D.; Xiu, Dongbin
2021
Stein variational reduced basis Bayesian inversion. Zbl 1467.62042
Chen, Peng; Ghattas, Omar
2021
Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement. Zbl 1484.65232
Peng, Zhichao; Li, Fengyan
2021
Overlapping domain decomposition methods for ptychographic imaging. Zbl 1470.94008
Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong
2021
Rounding error analysis of mixed precision block Householder QR algorithms. Zbl 07364332
Yang, L. Minah; Fox, Alyson; Sanders, Geoffrey
2021
A deep learning approach for the computation of curvature in the level-set method. Zbl 07364333
Larios-Cárdenas, Luis Ángel; Gibou, Frederic
2021
Fourier-cosine method for finite-time Gerber-shiu functions. Zbl 07364336
Li, Xiaolong; Shi, Yifan; Phillip Yam, Sheung Chi; Yang, Hailiang
2021
Accurate and efficient splitting methods for dissipative particle dynamics. Zbl 07364343
Shang, Xiaocheng
2021
A variable stepsize, variable order family of low complexity. Zbl 1477.65149
DeCaria, Victor; Guzel, Ahmet; Layton, William; Li, Yi
2021
A continuous perspective on shape optimization via domain transformations. Zbl 1469.35252
Haubner, J.; Siebenborn, M.; Ulbrich, M.
2021
Positivity preservation of a first-order scheme for a quasi-conservative compressible two-material model. Zbl 07385000
Shahbazi, Khosro
2021
Stabilized scalar auxiliary variable ensemble algorithms for parameterized flow problems. Zbl 07385002
Jiang, Nan; Yang, Huanhuan
2021
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### Cited by 37,736 Authors

 134 Shu, Chi-Wang 123 Huang, Ting-Zhu 122 Karniadakis, George Em 118 Benner, Peter 111 Dehghan Takht Fooladi, Mehdi 111 Reichel, Lothar 90 He, Yinnian 88 Shen, Jie 85 Dumbser, Michael 84 Wang, Hong 82 Qiu, Jianxian 81 Chung, Tsz Shun Eric 81 Huang, Yunqing 81 Yang, Xiaofeng 77 Nordström, Jan 72 Hesthaven, Jan S. 72 Zhang, Zhimin 70 Oosterlee, Cornelis Willebrordus 70 Quarteroni, Alfio M. 69 Ma, Changfeng 66 Wei, Yimin 66 Zhang, Guofeng 65 Feng, Xinlong 65 Ng, Michael Kwok-Po 64 Chen, Yanping 64 Serra-Capizzano, Stefano 62 Gander, Martin Jakob 59 Kurganov, Alexander 59 Lin, Guang 58 Du, Qiang 58 Wohlmuth, Barbara I. 57 Jiang, Yaolin 57 Ying, Lexing 55 Rozza, Gianluigi 53 Liu, Fawang 53 Simoncini, Valeria 52 Gunzburger, Max D. 52 Yuan, Guangwei 51 Sandu, Adrian 51 Schwab, Christoph 51 Xu, Kun 50 Abgrall, Rémi 50 Jin, Shi 50 Ju, Lili 50 Tezduyar, Tayfun E. 50 Wheeler, Mary Fanett 49 Harbrecht, Helmut 49 Kressner, Daniel 48 Vuik, Cornelis 47 Chen, Ke 47 He, Xiaoming 47 Narayan, Akil C. 47 Sun, Haiwei 47 Zhang, Chengjian 46 Bai, Zhongzhi 46 Bao, Weizhu 46 Kirby, Robert M. II 46 Li, Zhilin 46 Nobile, Fabio 46 Seaïd, Mohammed 46 Sun, Shuyu 46 Sun, Zhizhong 46 Wall, Wolfgang A. 45 Axelsson, Axel Owe Holger 45 Vohralík, Martin 45 Zhu, Jun 44 Benzi, Michele 44 Cai, Xiao-Chuan 44 Cockburn, Bernardo 44 Hou, Yanren 44 Jbilou, Khalide 44 Kunisch, Karl 44 Pavarino, Luca Franco 44 Saad, Yousef 43 Efendiev, Yalchin R. 43 Li, Ruo 43 Ruiz-Baier, Ricardo 43 Xiu, Dongbin 43 Xu, Jinchao 42 Antoine, Xavier 42 Burman, Erik 42 Donatelli, Marco 42 Fu, Chuli 42 Huang, Chengming 42 Osher, Stanley Joel 41 Farhat, Charbel H. 41 Gassner, Gregor J. 41 Greengard, Leslie F. 41 Khaliq, Abdul Q. M. 41 Liu, Tiegang 41 Oseledets, Ivan V. 41 Tang, Huazhong 40 Bürger, Raimund 40 Klawonn, Axel 40 Mei, Liquan 40 Pareschi, Lorenzo 40 Praetorius, Dirk 40 Rui, Hongxing 40 Turner, Ian William 40 Zhang, Jiwei ...and 37,636 more Authors
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 4,725 Journal of Computational Physics 2,035 Journal of Computational and Applied Mathematics 1,705 Journal of Scientific Computing 1,667 Computer Methods in Applied Mechanics and Engineering 1,553 SIAM Journal on Scientific Computing 1,266 Applied Mathematics and Computation 1,236 Computers & Mathematics with Applications 1,201 Applied Numerical Mathematics 814 Computers and Fluids 709 Numerical Algorithms 565 Numerische Mathematik 500 Mathematics of Computation 476 Linear Algebra and its Applications 445 SIAM Journal on Numerical Analysis 436 International Journal of Computer Mathematics 410 International Journal for Numerical Methods in Engineering 404 BIT 374 Advances in Computational Mathematics 338 Communications in Computational Physics 317 Numerical Linear Algebra with Applications 315 Journal of Fluid Mechanics 307 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 291 SIAM Journal on Matrix Analysis and Applications 278 Mathematics and Computers in Simulation 266 Computational Mechanics 261 Applied Mathematical Modelling 250 Engineering Analysis with Boundary Elements 250 Computational Geosciences 240 Computational Optimization and Applications 239 Applied Mathematics Letters 238 Numerical Methods for Partial Differential Equations 230 Inverse Problems 226 Computational and Applied Mathematics 223 International Journal for Numerical Methods in Fluids 200 SIAM/ASA Journal on Uncertainty Quantification 197 Mathematical Problems in Engineering 196 Journal of Mathematical Analysis and Applications 190 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 180 Applied and Computational Harmonic Analysis 169 Multiscale Modeling & Simulation 164 SIAM Journal on Imaging Sciences 157 Journal of Mathematical Imaging and Vision 154 Advances in Applied Mathematics and Mechanics 146 Physica D 145 Optimization Methods & Software 143 Calcolo 136 SIAM Journal on Optimization 132 Communications in Nonlinear Science and Numerical Simulation 122 Journal of Optimization Theory and Applications 119 Computer Physics Communications 119 Inverse Problems in Science and Engineering 115 East Asian Journal on Applied Mathematics 113 Mathematical Programming. Series A. Series B 104 Computational Methods in Applied Mathematics 103 Computing 102 Mathematical Methods in the Applied Sciences 98 Journal of Global Optimization 97 SIAM Journal on Applied Mathematics 96 Mathematical and Computer Modelling 95 Journal of Applied Mathematics and Computing 94 Applicable Analysis 94 Inverse Problems and Imaging 92 Physics of Fluids 91 International Journal of Computational Fluid Dynamics 90 Automatica 89 Japan Journal of Industrial and Applied Mathematics 85 Foundations of Computational Mathematics 84 Computational Statistics and Data Analysis 84 Abstract and Applied Analysis 83 ETNA. Electronic Transactions on Numerical Analysis 81 International Journal of Computational Methods 79 Numerical Functional Analysis and Optimization 77 Computing and Visualization in Science 76 Science China. Mathematics 75 Advances in Difference Equations 73 Wave Motion 73 Comptes Rendus. Mathématique. Académie des Sciences, Paris 73 Journal of Numerical Mathematics 72 Chaos, Solitons and Fractals 71 Bulletin of Mathematical Biology 71 SIAM Review 71 Communications on Applied Mathematics and Computation 70 Archives of Computational Methods in Engineering 69 Statistics and Computing 68 European Journal of Operational Research 68 Chaos 66 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 65 International Journal of Numerical Analysis and Modeling 63 Quantitative Finance 63 Discrete and Continuous Dynamical Systems. Series B 63 Journal of Applied Mathematics 61 Journal of Engineering Mathematics 59 Journal of the Franklin Institute 59 The Annals of Statistics 58 SIAM Journal on Applied Dynamical Systems 57 Journal of Complexity 56 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 55 Journal of Differential Equations 54 Communications in Numerical Methods in Engineering 53 SIAM Journal on Mathematical Analysis ...and 773 more Journals
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### Cited in 61 Fields

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