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: Journal; Indexed cover-to-cover Documents Indexed: 5,140 Publications (since 1993) References Indexed: 2,180 Publications with 91,593 References. all top 5 Latest Issues 46, No. 2 (2024) 46, No. 1 (2024) 45, No. 6 (2023) 45, No. 5 (2023) 45, No. 4 (2023) 45, No. 3 (2023) 45, No. 2 (2023) 45, No. 1 (2023) 44, No. 6 (2022) 44, No. 5 (2022) 44, No. 4 (2022) 44, No. 3 (2022) 44, No. 2 (2022) 44, No. 1 (2022) 43, No. 6 (2021) 43, No. 5 (2021) 43, No. 4 (2021) 43, No. 3 (2021) 43, No. 2 (2021) 43, No. 1 (2021) 42, No. 6 (2020) 42, No. 5 (2020) 42, No. 4 (2020) 42, No. 3 (2020) 42, No. 2 (2020) 42, No. 1 (2020) 41, No. 6 (2019) 41, No. 5 (2019) 41, No. 4 (2019) 41, No. 3 (2019) 41, No. 2 (2019) 41, No. 1 (2019) 40, No. 6 (2018) 40, No. 5 (2018) 40, No. 4 (2018) 40, No. 3 (2018) 40, No. 2 (2018) 40, No. 1 (2018) 39, No. 6 (2017) 39, No. 5 (2017) 39, No. 4 (2017) 39, No. 3 (2017) 39, No. 2 (2017) 39, No. 1 (2017) 38, No. 6 (2016) 38, No. 5 (2016) 38, No. 4 (2016) 38, No. 3 (2016) 38, No. 2 (2016) 38, No. 1 (2016) 37, No. 6 (2015) 37, No. 5 (2015) 37, No. 4 (2015) 37, No. 3 (2015) 37, No. 2 (2015) 37, No. 1 (2015) 36, No. 6 (2014) 36, No. 5 (2014) 36, No. 4 (2014) 36, No. 3 (2014) 36, No. 2 (2014) 36, No. 1 (2014) 35, No. 6 (2013) 35, No. 5 (2013) 35, No. 4 (2013) 35, No. 3 (2013) 35, No. 2 (2013) 35, No. 1 (2013) 34, No. 6 (2012) 34, No. 5 (2012) 34, No. 4 (2012) 34, No. 3 (2012) 34, No. 2 (2012) 34, No. 1 (2012) 33, No. 6 (2011) 33, No. 5 (2011) 33, No. 4 (2011) 33, No. 3 (2011) 33, No. 2 (2011) 33, No. 1 (2011) 32, No. 6 (2010) 32, No. 5 (2010) 32, No. 4 (2010) 32, No. 3 (2010) 32, No. 2 (2010) 32, No. 1 (2010) 31, No. 6 (2009/2010) 31, No. 5 (2009) 31, No. 4 (2009) 31, No. 3 (2009) 31, No. 2 (2008/2009) 31, No. 1 (2008) 30, No. 6 (2008) 30, No. 5 (2008) 30, No. 4 (2008) 30, No. 3 (2008) 30, No. 2 (2008) 30, No. 1 (2007/2008) 29, No. 6 (2007) 29, No. 5 (2007) ...and 94 more Volumes all top 5 Authors 42 Manteuffel, Thomas A. 40 Karniadakis, George Em 35 Vassilevski, Panayot Spirov 34 McCormick, Steve Fahrney 34 Saad, Yousef 33 Gander, Martin Jakob 31 Ng, Michael Kwok-Po 27 Cai, Xiao-Chuan 26 Higham, Nicholas J. 24 Shu, Chi-Wang 23 Ghattas, Omar N. 21 Oosterlee, Cornelis Willebrordus 21 Shen, Jie 20 Ainsworth, Mark 20 Chan, Tony Fan-Cheong 20 Elman, Howard C. 20 MacLachlan, Scott P. 20 Xiu, Dongbin 20 Yavneh, Irad 19 Falgout, Robert D. 18 Benzi, Michele 18 De Sterck, Hans 18 Narayan, Akil C. 18 Rüde, Ulrich 18 Russo, Giovanni 18 Trefethen, Lloyd Nicholas 18 Ying, Lexing 17 Adler, James H. 17 Benner, Peter 17 Keyes, David Elliot 17 Tůma, Miroslav 16 Biros, George 16 Greengard, Leslie F. 16 Klawonn, Axel 16 Rokhlin, Vladimir 16 Silvester, David J. 16 Simoncini, Valeria 16 Vandewalle, Stefan G. 16 Wathen, Andrew John 16 Willcox, Karen E. 16 Wohlmuth, Barbara I. 15 Aykanat, Cevdet 15 Demmel, James Weldon 15 Gugercin, Serkan 15 Kilmer, Misha Elena 14 Bao, Weizhu 14 Golub, Gene Howard 14 Jin, Shi 14 Kolev, Tzanio V. 14 Sandu, Adrian 14 Stathopoulos, Andreas 13 Bui-Thanh, Tan 13 Chan, Raymond Hon-Fu 13 de Sturler, Eric 13 Duff, Iain S. 13 Hu, Xiaozhe 13 Kelley, Carl T. 13 Olson, Luke N. 13 Pavarino, Luca Franco 13 Reusken, Arnold 13 Tuminaro, Ray S. 12 Ascher, Uri M. 12 Brandt, Achi E. 12 Cai, Zhenning 12 Hansen, Per Christian 12 Marzouk, Youssef M. 12 Notay, Yvan 12 Oseledets, Ivan Valer’evich 12 Schroder, Jacob B. 12 Southworth, Ben S. 12 Szyld, Daniel B. 12 Wen, Zaiwen 12 Zhou, Tao 11 Burman, Erik 11 Chow, Edmond 11 Chung, Julianne M. 11 Giraud, Luc 11 Grigori, Laura 11 Haber, Eldad 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 11 Mary, Theo A. 11 Meerbergen, Karl 11 Peherstorfer, Benjamin 11 Peskin, Charles S. 11 Petzold, Linda Ruth 11 Puppo, Gabriella 11 Quarteroni, Alfio M. 11 Scott, Jennifer A. 11 Shadid, John N. 11 Townsend, Alex 11 Warburton, Timothy 11 Zhang, Zhimin 10 Abgrall, Rémi 10 Constantine, Paul G. 10 Dolgov, Sergey V. 10 Du, Qiang 10 Gunzburger, Max D. 10 Heinlein, Alexander ...and 6,745 more Authors all top 5 Fields 4,675 Numerical analysis (65-XX) 1,765 Partial differential equations (35-XX) 860 Fluid mechanics (76-XX) 365 Computer science (68-XX) 332 Calculus of variations and optimal control; optimization (49-XX) 288 Linear and multilinear algebra; matrix theory (15-XX) 282 Operations research, mathematical programming (90-XX) 267 Probability theory and stochastic processes (60-XX) 239 Statistics (62-XX) 225 Mechanics of deformable solids (74-XX) 212 Optics, electromagnetic theory (78-XX) 204 Ordinary differential equations (34-XX) 185 Statistical mechanics, structure of matter (82-XX) 174 Biology and other natural sciences (92-XX) 171 Approximations and expansions (41-XX) 147 Dynamical systems and ergodic theory (37-XX) 131 Systems theory; control (93-XX) 115 Information and communication theory, circuits (94-XX) 100 Integral equations (45-XX) 96 Geophysics (86-XX) 82 Combinatorics (05-XX) 73 Quantum theory (81-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 69 Mechanics of particles and systems (70-XX) 64 Classical thermodynamics, heat transfer (80-XX) 57 Operator theory (47-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Special functions (33-XX) 41 Global analysis, analysis on manifolds (58-XX) 37 Potential theory (31-XX) 34 Real functions (26-XX) 33 Integral transforms, operational calculus (44-XX) 30 Differential geometry (53-XX) 24 Functional analysis (46-XX) 24 Astronomy and astrophysics (85-XX) 23 Functions of a complex variable (30-XX) 16 General and overarching topics; collections (00-XX) 9 Convex and discrete geometry (52-XX) 8 Difference and functional equations (39-XX) 7 Number theory (11-XX) 7 Relativity and gravitational theory (83-XX) 6 Field theory and polynomials (12-XX) 6 Measure and integration (28-XX) 6 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 3 Mathematics education (97-XX) 2 Commutative algebra (13-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,641 Publications have been cited 90,703 times in 47,159 Documents Cited by ▼ Year ▼ The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004 Xiu, Dongbin; Karniadakis, George Em 951 2002 Atomic decomposition by basis pursuit. Zbl 0919.94002 Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 568 1999 A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129 Karypis, George; Kumar, Vipin 557 1999 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080 Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 537 1995 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169 Chaturantabut, Saifon; Sorensen, Danny C. 526 2010 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006 Xiu, Dongbin; Hesthaven, Jan S. 476 2005 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022 Saad, Youcef 433 1993 The MATLAB ODE suite. Zbl 0868.65040 Shampine, Lawrence F.; Reichelt, Mark W. 415 1997 Tensor-train decomposition. Zbl 1232.15018 Oseledets, I. V. 393 2011 Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105 Kassam, Aly-Khan; Trefethen, Lloyd N. 383 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 381 2004 A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077 Xu, Jinchao 345 1994 Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014 Jiang, Guang-Shan; Peng, Danping 340 2000 Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097 Shen, Jie 319 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 294 1993 Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008 Jin, Shi 249 1999 High-order total variation-based image restoration. Zbl 0968.68175 Chan, Tony; Marquina, Antonio; Mulet, Pep 246 2000 A note on preconditioning for indefinite linear systems. Zbl 0959.65063 Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 243 2000 Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021 Eisenstat, Stanley C.; Walker, Homer F. 234 1996 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060 Lax, Peter D.; Liu, Xu-Dong 230 1998 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 229 2005 Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058 Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. 224 2005 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061 LeVeque, Randall J.; Li, Zhilin 224 1997 Exponential integrators for large systems of differential equations. Zbl 0912.65058 Hochbruck, Marlis; Lubich, Christian 222 1998 Iterative methods for total variation denoising. Zbl 0847.65083 Vogel, C. R.; Oman, M. E. 217 1996 Alternating direction algorithms for \(\ell_1\)-problems in compressive sensing. Zbl 1256.65060 Yang, Junfeng; Zhang, Yin 217 2011 Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033 van den Berg, Ewout; Friedlander, Michael P. 212 2008 A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214 Fang, F.; Oosterlee, C. W. 210 2008 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091 Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 208 2001 Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050 Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M. 208 1993 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118 Chan, Tony F.; Golub, Gene H.; Mulet, Pep 207 1999 Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109 Qiu, Jianxian; Shu, Chi-Wang 201 2005 A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031 Cai, Xiao-Chuan; Sarkis, Marcus 199 1999 On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088 Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M. 193 1997 p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106 Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar 192 2011 Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028 Knyazev, Andrew V. 188 2001 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 188 2010 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025 Bao, Weizhu; Du, Qiang 184 2004 Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089 Levy, Doron; Puppo, Gabriella; Russo, Giovanni 183 2000 A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028 Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean 183 2007 An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070 Sussman, Mark; Fatemi, Emad 181 1999 Stable computations with Gaussian radial basis functions. Zbl 1227.65018 Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 178 2011 A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065 Gassner, Gregor J. 178 2013 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 177 2013 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064 Gander, Martin J.; Vandewalle, Stefan 177 2007 A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039 Dohrmann, Clark R. 177 2003 A simple method for compressible multifluid flows. Zbl 0957.76057 Saurel, Richard; Abgrall, Rémi 175 1999 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 173 2014 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 173 2016 Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009 Wan, Xiaoliang; Karniadakis, George Em 170 2006 Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061 Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 169 2002 Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044 Gu, Ming; Eisenstat, Stanley C. 168 1996 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322 Lee, Long; LeVeque, Randall J. 161 2003 A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052 Penzl, Thilo 159 2000 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. 159 2010 Iterative Bregman projections for regularized transportation problems. Zbl 1319.49073 Benamou, Jean-David; Carlier, Guillaume; Cuturi, Marco; Nenna, Luca; Peyré, Gabriel 155 2015 Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031 Grote, Marcus J.; Huckle, Thomas 154 1997 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. 150 2014 Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089 Liska, Richard; Wendroff, Burton 150 2003 A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110 Zhang, Zhimin; Naga, Ahmed 148 2005 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038 Simoncini, V. 148 2007 Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107 Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa 147 2000 Three-dimensional front tracking. Zbl 0912.65075 Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni 147 1998 Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028 Al-Mohy, Awad H.; Higham, Nicholas J. 147 2011 Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028 Oseledets, I. V.; Tyrtyshnikov, E. E. 147 2009 Fractional spectral collocation method. Zbl 1294.65097 Zayernouri, Mohsen; Karniadakis, George Em 142 2014 The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436 Peraire, J.; Persson, P.-O. 142 2008 Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095 Jiang, Guang-Shan; Tadmor, Eitan 141 1998 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108 Dutt, A.; Rokhlin, V. 140 1993 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162 Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 139 2015 A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109 Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 137 2006 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 137 2011 FPINNs: fractional physics-informed neural networks. Zbl 1420.35459 Pang, Guofei; Lu, Lu; Karniadakis, George Em 136 2019 A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038 Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung 135 1999 Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084 Soize, Christian; Ghanem, Roger 134 2004 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080 Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 132 1998 An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274 Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao 132 2011 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011 Collino, Francis; Monk, Peter 131 1998 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 131 2006 A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194 Wang, Hong; Basu, Treena S. 131 2012 A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022 Freund, Roland W. 130 1993 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 130 2012 Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017 Forsyth, P. A.; Vetzal, K. R. 129 2002 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146 Burrage, Kevin; Hale, Nicholas; Kay, David 128 2012 A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307 Fornberg, Bengt; Piret, Cécile 124 2007 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045 Beylkin, Gregory; Mohlenkamp, Martin J. 122 2005 A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087 Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg 121 2013 Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127 Bui-Thanh, T.; Willcox, K.; Ghattas, O. 120 2008 The method of regularized stokeslets. Zbl 1064.76080 Cortez, Ricardo 119 2001 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027 Benzi, Michele; Tuma, Miroslav 119 1998 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054 John, Volker; Kaya, Songul 118 2005 Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113 Lubich, Christian; Schädle, Achim 117 2002 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 116 2015 Parallel time integration with multigrid. Zbl 1310.65115 Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; Maclachlan, S. P.; Schroder, J. B. 115 2014 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028 Benzi, Michele; Olshanskii, Maxim A. 115 2006 Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042 Zhang, Zhenyue; Zha, Hongyuan 113 2004 Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113 Shen, Jie 112 1995 Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149 Dietrich, C. R.; Newsam, G. N. 112 1997 Hybrid Gauss-trapezoidal quadrature rules. Zbl 0933.41019 Alpert, Bradley K. 111 1999 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. 111 2004 Manifold approximations via transported subspaces: model reduction for transport-dominated problems. Zbl 1514.78017 Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. 6 2023 Failure-informed adaptive sampling for PINNs. Zbl 07729492 Gao, Zhiwei; Yan, Liang; Zhou, Tao 5 2023 On the stability of robust dynamical low-rank approximations for hyperbolic problems. Zbl 07673274 Kusch, Jonas; Einkemmer, Lukas; Ceruti, Gianluca 4 2023 Randomized algorithms for rounding in the tensor-train format. Zbl 07673280 Al Daas, Hussam; Ballard, Grey; Cazeaux, Paul; Hallman, Eric; Międlar, Agnieszka; Pasha, Mirjeta; Reid, Tim W.; Saibaba, Arvind K. 4 2023 Long-term analysis of stochastic Hamiltonian systems under time discretizations. Zbl 1512.65014 D’Ambrosio, Raffaele; Di Giovacchino, Stefano 4 2023 Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. Zbl 07673289 Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard 4 2023 High order compact schemes for flux type BCs. Zbl 1516.65115 Li, Zhilin; Pan, Kejia 4 2023 Parallel algorithms for computing the tensor-train decomposition. Zbl 1517.65032 Shi, Tianyi; Ruth, Maximilian; Townsend, Alex 3 2023 Convergence of a robust deep FBSDE method for stochastic control. Zbl 1511.93120 Andersson, Kristoffer; Andersson, Adam; Oosterlee, C. W. 3 2023 \(\mathcal{L}_2\)-optimal reduced-order modeling using parameter-separable forms. Zbl 1512.65098 Mlinarić, Petar; Gugercin, Serkan 3 2023 An online efficient two-scale reduced basis approach for the localized orthogonal decomposition. Zbl 1519.35097 Keil, Tim; Rave, Stephan 3 2023 Approximate Newton policy gradient algorithms. Zbl 1523.90313 Li, Haoya; Gupta, Samarth; Yu, Hsiangfu; Ying, Lexing; Dhillon, Inderjit 2 2023 Horseshoe priors for edge-preserving linear Bayesian inversion. Zbl 07695777 Uribe, Felipe; Dong, Yiqiu; Hansen, Per Christian 2 2023 Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model. Zbl 1527.65138 Huynh, Ngoc Mai Monica; Chegini, Fatemeh; Pavarino, Luca Franco; Weiser, Martin; Scacchi, Simone 2 2023 An offline-online decomposition method for efficient linear Bayesian goal-oriented optimal experimental design: application to optimal sensor placement. Zbl 07673279 Wu, Keyi; Chen, Peng; Ghattas, Omar 2 2023 Convergence rate analysis and improved iterations for numerical radius computation. Zbl 1512.65063 Mitchell, Tim 2 2023 Dynamic finite-budget allocation of stratified sampling with adaptive variance reduction by strata. Zbl 1512.65008 Song, Chenxiao; Kawai, Reiichiro 2 2023 SOBMOR: structured optimization-based model order reduction. Zbl 1514.93031 Schwerdtner, Paul; Voigt, Matthias 2 2023 Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem. Zbl 07682248 Antonietti, Paola F.; Bonetti, Stefano; Botti, Michele 2 2023 Parallel scalability of three-level FROSch preconditioners to 220000 cores using the theta supercomputer. Zbl 1515.65309 Heinlein, Alexander; Rheinbach, Oliver; Röver, Friederike 2 2023 Friedrichs learning: weak solutions of partial differential equations via deep learning. Zbl 07704383 Chen, Fan; Huang, Jianguo; Wang, Chunmei; Yang, Haizhao 2 2023 The p-AAA algorithm for data-driven modeling of parametric dynamical systems. Zbl 1528.93001 Rodriguez, Andrea Carracedo; Balicki, Linus; Gugercin, Serkan 2 2023 Efficient natural gradient descent methods for large-scale PDE-based optimization problems. Zbl 1515.65171 Nurbekyan, Levon; Lei, Wanzhou; Yang, Yunan 2 2023 Port-Hamiltonian dynamic mode decomposition. Zbl 1523.37086 Morandin, Riccardo; Nicodemus, Jonas; Unger, Benjamin 2 2023 A unified analysis framework for iterative parallel-in-time algorithms. Zbl 1523.65109 Gander, Martin J.; Lunet, Thibaut; Ruprecht, Daniel; Speck, Robert 2 2023 HODLR2D: a new class of hierarchical matrices. Zbl 1525.65138 Kandappan, V. A.; Gujjula, Vaishnavi; Ambikasaran, Sivaram 2 2023 A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional order boundary growth. Zbl 1527.76057 Wang, Zhaoyang; Lin, Ping; Zhang, Lei 1 2023 Compatible energy dissipation of the variable-step \(L1\) scheme for the space-time fractional Cahn-Hilliard equation. Zbl 07749377 Xue, Zhongqin; Zhao, Xuan 1 2023 Physics guided machine learning for variational multiscale reduced order modeling. Zbl 07693354 Ahmed, Shady E.; San, Omer; Rasheed, Adil; Iliescu, Traian; Veneziani, Alessandro 1 2023 A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. Zbl 1516.65087 Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian 1 2023 Randomized quasi-optimal local approximation spaces in time. Zbl 07693356 Schleuß, Julia; Smetana, Kathrin; ter Maat, Lukas 1 2023 A convergent quadrature-based method for the Monge-Ampère equation. Zbl 1518.35422 Brusca, Jake; Froese Hamfeldt, Brittany 1 2023 Mixed precision iterative refinement with sparse approximate inverse preconditioning. Zbl 1516.65023 Carson, Erin; Khan, Noaman 1 2023 A global optimization approach for multimarginal optimal transport problems with Coulomb cost. Zbl 1516.49029 Hu, Yukuan; Chen, Huajie; Liu, Xin 1 2023 Asymptotic preserving and uniformly unconditionally stable finite difference schemes for kinetic transport equations. Zbl 1526.65041 Zhang, Guoliang; Zhu, Hongqiang; Xiong, Tao 1 2023 Efficient upwind finite-difference schemes for wave equations on overset grids. Zbl 1527.65067 Angel, J. B.; Banks, J. W.; Carson, A. M.; Henshaw, W. D. 1 2023 Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation. Zbl 1526.65057 Pagliantini, Cecilia; Vismara, Federico 1 2023 Pebbling game and alternative basis for high performance matrix multiplication. Zbl 1527.15001 Schwartz, Oded; Vaknin, Noa 1 2023 Matrix multiplication in multiword arithmetic: error analysis and application to GPU tensor cores. Zbl 1511.65040 Fasi, Massimiliano; Higham, Nicholas J.; Lopez, Florent; Mary, Theo; Mikaitis, Mantas 1 2023 Simulating grain shape effects and damage in granular media using PeriDEM. Zbl 1512.74006 Bhattacharya, Debdeep; Lipton, Robert P. 1 2023 A mixed discontinuous Galerkin method for a linear viscoelasticity problem with strongly imposed symmetry. Zbl 1516.65093 Meddahi, Salim; Ruiz-Baier, Ricardo 1 2023 Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. Zbl 1516.65081 Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian 1 2023 MGM: a meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. Zbl 1512.65249 Wright, Grady B.; Jones, Andrew; Shankar, Varun 1 2023 Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains. Zbl 1521.65097 Guo, Shimin; Mei, Liquan; Yan, Wenjing; Li, Ying 1 2023 Low-order preconditioning for the high-order finite element de Rham complex. Zbl 1525.65127 Pazner, Will; Kolev, Tzanio; Dohrmann, Clark R. 1 2023 A new stopping criterion for Krylov solvers applied in interior point methods. Zbl 1512.65056 Zanetti, Filippo; Gondzio, Jacek 1 2023 Closed form optimized transmission conditions for complex diffusion with many subdomains. Zbl 07682231 Dolean, Victorita; Gander, Martin J.; Kyriakis, Alexandros 1 2023 \(\mathrm{PIN}^{\mathcal{L}}\): preconditioned inexact Newton with learning capability for nonlinear system of equations. Zbl 1524.76136 Luo, Li; Cai, Xiao-Chuan 1 2023 Dynamically orthogonal Runge-Kutta schemes with perturbative retractions for the dynamical low-rank approximation. Zbl 1517.37087 Charous, Aaron; Lermusiaux, Pierre F. J. 1 2023 Adaptive time step control for multirate infinitesimal methods. Zbl 1515.65210 Fish, Alex C.; Reynolds, Daniel R. 1 2023 Efficient time-stepping for numerical integration using reinforcement learning. Zbl 1520.65050 Dellnitz, Michael; Hüllermeier, Eyke; Lücke, Marvin; Ober-Blöbaum, Sina; Offen, Christian; Peitz, Sebastian; Pfannschmidt, Karlson 1 2023 Multilevel spectral domain decomposition. Zbl 1517.65125 Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne 1 2023 Globally convergent multilevel training of deep residual networks. Zbl 1515.65166 Kopaničáková, Alena; Krause, Rolf 1 2023 An asymptotically compatible coupling formulation for nonlocal interface problems with jumps. Zbl 07704386 Glusa, Christian; D’Elia, Marta; Capodaglio, Giacomo; Gunzburger, Max; Bochev, Pavel B. 1 2023 Simultaneous identification and denoising of dynamical systems. Zbl 1520.34017 Hokanson, Jeffrey M.; Iaccarino, Gianluca; Doostan, Alireza 1 2023 A symmetrized parametric finite element method for anisotropic surface diffusion in three dimensions. Zbl 1518.65106 Bao, Weizhu; Li, Yifei 1 2023 Active operator inference for learning low-dimensional dynamical-system models from noisy data. Zbl 1515.93043 Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin 1 2023 Flow in porous media with fractures of varying aperture. Zbl 1518.76051 Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian 1 2023 Filtering for Anderson acceleration. Zbl 1515.65008 Pollock, Sara; Rebholz, Leo G. 1 2023 Accurate absorbing boundary conditions for the two-dimensional nonlocal Schrödinger equations. Zbl 07713603 Pang, Gang; Ji, Songsong; Zhang, Jiwei 1 2023 Entropic trust region for densest crystallographic symmetry group packings. Zbl 07715399 Torda, Miloslav; Goulermas, John Y.; Púček, Roland; Kurlin, Vitaliy 1 2023 Weighted-norm preconditioners for a multilayer tide model. Zbl 1518.65028 Cotter, Colin J.; Kirby, Robert C.; Morris, Hunter 1 2023 Fast multigrid reduction-in-time for advection via modified semi-Lagrangian coarse-grid operators. Zbl 1521.65090 De Sterck, Hans; Falgout, Robert D.; Krzysik, Oliver A. 1 2023 Nonintrusive reduced-order models for parametric partial differential equations via data-driven operator inference. Zbl 1521.35022 McQuarrie, Shane A.; Khodabakhshi, Parisa; Willcox, Karen E. 1 2023 Adaptive grids in the context of algebraic stabilizations for convection-diffusion-reaction equations. Zbl 1528.65125 Jha, Abhinav; John, Volker; Knobloch, Petr 1 2023 On GSOR, the generalized successive overrelaxation method for double saddle-point problems. Zbl 1523.65032 Huang, Na; Dai, Yu-Hong; Orban, Dominique; Saunders, Michael A. 1 2023 A fourth-order embedded boundary finite volume method for the unsteady Stokes equations with complex geometries. Zbl 1525.65086 Overton-Katz, Nathaniel; Gao, Xinfeng; Guzik, Stephen; Antepara, Oscar; Graves, Daniel T.; Johansen, Hans 1 2023 On thermodynamically compatible finite volume schemes for continuum mechanics. Zbl 07556268 Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 12 2022 When do extended physics-informed neural networks (XPINNs) improve generalization? Zbl 1498.65183 Hu, Zheyuan; Jagtap, Ameya D.; Karniadakis, George Em; Kawaguchi, Kenji 10 2022 An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers. Zbl 1505.65305 Laakmann, Fabian; Farrell, Patrick E.; Mitchell, Lawrence 10 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 9 2022 Approximation error analysis of some deep backward schemes for nonlinear PDEs. Zbl 1490.65231 Germain, Maximilien; Pham, Huyên; Warin, Xavier 9 2022 Geometric integration of ODEs using multiple quadratic auxiliary variables. Zbl 1497.65256 Tapley, Benjamin K. 8 2022 Two-dimensional Fourier continuation and applications. Zbl 1490.35109 Bruno, Oscar P.; Paul, Jagabandhu 7 2022 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163 Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 7 2022 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088 Al Daas, Hussam; Ballard, Grey; Benner, Peter 7 2022 MIONet: learning multiple-input operators via tensor product. 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Zbl 1509.41009 Wilber, Heather; Damle, Anil; Townsend, Alex 5 2022 Compact exponential conservative approaches for the Schrödinger equation in the semiclassical regimes. Zbl 07537257 Cai, Jiaxiang; Liang, Hua 5 2022 Explicit time stepping for the wave equation using CutFEM with discrete extension. Zbl 1493.65146 Burman, Erik; Hansbo, Peter; Larson, Mats G. 5 2022 A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. Zbl 1486.65160 Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario; Poltri, Simone Nati 5 2022 Space-time block preconditioning for incompressible flow. Zbl 1482.65042 Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J. 4 2022 On geometric inverse problems in time-fractional subdiffusion. Zbl 1501.35437 Hu, Xindi; Zhu, Shengfeng 4 2022 Parallel Newton-Krylov BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac bidomain equations. Zbl 1490.65304 Huynh, Ngoc Mai Monica; Pavarino, Luca F.; Scacchi, Simone 4 2022 Textbook efficiency: massively parallel matrix-free multigrid for the Stokes system. Zbl 1492.65080 Kohl, Nils; Rüde, Ulrich 4 2022 Reduced operator inference for nonlinear partial differential equations. Zbl 1509.65101 Qian, Elizabeth; Farcaş, Ionuţ-Gabriel; Willcox, Karen 4 2022 A bound-preserving and positivity-preserving path-conservative discontinuous Galerkin method for solving five-equation model of compressible two-medium flows. Zbl 1496.65159 Cheng, Jian; Zhang, Fan 4 2022 Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form. Zbl 1497.65220 Boon, Wietse M.; Koch, Timo; Kuchta, Miroslav; Mardal, Kent-André 4 2022 Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. Zbl 1513.76102 Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc 4 2022 Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 1492.65344 Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B. 4 2022 ...and 1543 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 44,549 Authors 154 Shu, Chi-Wang 149 Karniadakis, George Em 135 Benner, Peter 133 Huang, Ting-Zhu 130 Dehghan Takht Fooladi, Mehdi 121 Reichel, Lothar 106 Yang, Xiaofeng 105 Dumbser, Michael 102 Huang, Yunqing 101 He, Yinnian 101 Wang, Hong 99 Zhang, Zhimin 96 Shen, Jie 94 Chung, Tsz Shun Eric 93 Nordström, Jan 93 Qiu, Jianxian 87 Feng, Xinlong 85 Gander, Martin Jakob 85 Ng, Michael Kwok-Po 83 Chen, Yanping 82 Hesthaven, Jan S. 80 Kurganov, Alexander 80 Quarteroni, Alfio M. 80 Rozza, Gianluigi 76 Oosterlee, Cornelis Willebrordus 76 Serra-Capizzano, Stefano 74 Ma, Changfeng 73 Wei, Yimin 72 Jiang, Yaolin 69 Ying, Lexing 69 Zhang, Guofeng 66 Ju, Lili 66 Wohlmuth, Barbara I. 64 Abgrall, Rémi 64 Du, Qiang 64 Gunzburger, Max D. 64 Yuan, Guangwei 63 Lin, Guang 63 Liu, Fawang 61 Li, Ruo 61 Schwab, Christoph 61 Sun, Haiwei 61 Xu, Kun 60 Jin, Shi 59 Kressner, Daniel 59 Sun, Shuyu 59 Zhu, Jun 58 Harbrecht, Helmut 57 Burman, Erik 57 Simoncini, Valeria 57 Vuik, Cornelis 56 Ruiz-Baier, Ricardo 56 Zhang, Chengjian 55 He, Xiaoming 55 Kirby, Robert M. 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