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: 5,079 Publications (since 1993) References Indexed: 2,119 Publications with 88,544 References. all top 5 Latest Issues 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) 29, No. 4 (2007) 29, No. 3 (2007) ...and 92 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 30 Gander, Martin Jakob 28 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 Chan, Tony Fan-Cheong 20 Elman, Howard C. 20 MacLachlan, Scott P. 20 Xiu, Dongbin 20 Yavneh, Irad 19 Ainsworth, Mark 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 Benner, Peter 17 Keyes, David Elliot 17 Tůma, Miroslav 16 Adler, James H. 16 Biros, George 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. 15 Aykanat, Cevdet 15 Demmel, James Weldon 15 Greengard, Leslie F. 15 Gugercin, Serkan 15 Kilmer, Misha Elena 15 Wohlmuth, Barbara I. 14 Bao, Weizhu 14 Golub, Gene Howard 14 Jin, Shi 14 Kolev, Tzanio V. 14 Sandu, Adrian 14 Stathopoulos, Andreas 13 Chan, Raymond Hon-Fu 13 de Sturler, Eric 13 Duff, Iain S. 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 Bui-Thanh, Tan 12 Cai, Zhenning 12 Hansen, Per Christian 12 Marzouk, Youssef M. 12 Notay, Yvan 12 Oseledets, Ivan Valer’evich 12 Schroder, Jacob B. 12 Szyld, Daniel B. 12 Zhou, Tao 11 Burman, Erik 11 Chow, Edmond 11 Chung, Julianne M. 11 Giraud, Luc 11 Grigori, Laura 11 Haber, Eldad 11 Hu, Xiaozhe 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 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 Southworth, Ben S. 11 Townsend, Alex 11 Wen, Zaiwen 10 Constantine, Paul G. 10 Du, Qiang 10 Gunzburger, Max D. 10 Heinlein, Alexander 10 Hesthaven, Jan S. 10 Kirby, Robert C. 10 Kirby, Robert M. II 10 Knepley, Matthew G. 10 Kressner, Daniel ...and 6,678 more Authors all top 5 Fields 4,620 Numerical analysis (65-XX) 1,735 Partial differential equations (35-XX) 845 Fluid mechanics (76-XX) 352 Computer science (68-XX) 328 Calculus of variations and optimal control; optimization (49-XX) 283 Linear and multilinear algebra; matrix theory (15-XX) 280 Operations research, mathematical programming (90-XX) 262 Probability theory and stochastic processes (60-XX) 231 Statistics (62-XX) 220 Mechanics of deformable solids (74-XX) 211 Optics, electromagnetic theory (78-XX) 204 Ordinary differential equations (34-XX) 183 Statistical mechanics, structure of matter (82-XX) 172 Biology and other natural sciences (92-XX) 171 Approximations and expansions (41-XX) 145 Dynamical systems and ergodic theory (37-XX) 130 Systems theory; control (93-XX) 113 Information and communication theory, circuits (94-XX) 99 Integral equations (45-XX) 94 Geophysics (86-XX) 82 Combinatorics (05-XX) 71 Quantum theory (81-XX) 69 Harmonic analysis on Euclidean spaces (42-XX) 69 Mechanics of particles and systems (70-XX) 63 Classical thermodynamics, heat transfer (80-XX) 56 Operator theory (47-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Special functions (33-XX) 38 Global analysis, analysis on manifolds (58-XX) 36 Potential theory (31-XX) 33 Integral transforms, operational calculus (44-XX) 30 Real functions (26-XX) 26 Differential geometry (53-XX) 23 Functional analysis (46-XX) 23 Astronomy and astrophysics (85-XX) 22 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 Manifolds and cell complexes (57-XX) 5 Measure and integration (28-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 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-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 4,546 Publications have been cited 85,028 times in 44,627 Documents Cited by ▼ Year ▼ The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004Xiu, Dongbin; Karniadakis, George Em 913 2002 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 540 1999 A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129Karypis, George; Kumar, Vipin 528 1999 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 504 1995 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169Chaturantabut, Saifon; Sorensen, Danny C. 492 2010 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006Xiu, Dongbin; Hesthaven, Jan S. 463 2005 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022Saad, Youcef 416 1993 The MATLAB ODE suite. Zbl 0868.65040Shampine, Lawrence F.; Reichelt, Mark W. 397 1997 A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 368 2004 Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105Kassam, Aly-Khan; Trefethen, Lloyd N. 365 2005 Tensor-train decomposition. Zbl 1232.15018Oseledets, I. V. 355 2011 Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014Jiang, Guang-Shan; Peng, Danping 326 2000 A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077Xu, Jinchao 315 1994 Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097Shen, Jie 307 1994 The use of the \(L\)-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030Hansen, Per Christian; O’Leary, Dianne Prost 291 1993 Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008Jin, Shi 236 1999 A note on preconditioning for indefinite linear systems. Zbl 0959.65063Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 234 2000 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 234 2000 Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng 226 2005 Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021Eisenstat, Stanley C.; Walker, Homer F. 223 1996 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 217 1997 Iterative methods for total variation denoising. Zbl 0847.65083Vogel, C. R.; Oman, M. E. 215 1996 Exponential integrators for large systems of differential equations. Zbl 0912.65058Hochbruck, Marlis; Lubich, Christian 215 1998 Alternating direction algorithms for \(\ell_1\)-problems in compressive sensing. Zbl 1256.65060Yang, Junfeng; Zhang, Yin 213 2011 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 212 1998 Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. 209 2005 Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033van den Berg, Ewout; Friedlander, Michael P. 206 2008 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 204 1999 A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214Fang, F.; Oosterlee, C. W. 200 2008 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 198 2001 Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M. 195 1993 Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109Qiu, Jianxian; Shu, Chi-Wang 191 2005 A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031Cai, Xiao-Chuan; Sarkis, Marcus 188 1999 On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M. 187 1997 An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070Sussman, Mark; Fatemi, Emad 178 1999 p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar 175 2011 A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. Zbl 1410.76464Shen, Jie; Yang, Xiaofeng 174 2010 A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean 174 2007 Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089Levy, Doron; Puppo, Gabriella; Russo, Giovanni 173 2000 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 171 2004 The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 171 2013 A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039Dohrmann, Clark R. 170 2003 Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028Knyazev, Andrew V. 170 2001 A simple method for compressible multifluid flows. Zbl 0957.76057Saurel, Richard; Abgrall, Rémi 169 1999 Stable computations with Gaussian radial basis functions. Zbl 1227.65018Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 169 2011 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064Gander, Martin J.; Vandewalle, Stefan 166 2007 Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009Wan, Xiaoliang; Karniadakis, George Em 164 2006 Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 163 2002 A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065Gassner, Gregor J. 160 2013 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 158 2016 A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng 158 2014 Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I. 158 2010 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 158 2003 Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044Gu, Ming; Eisenstat, Stanley C. 157 1996 A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052Penzl, Thilo 153 2000 Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031Grote, Marcus J.; Huckle, Thomas 152 1997 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038Simoncini, V. 143 2007 Three-dimensional front tracking. Zbl 0912.65075Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni 143 1998 Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa 143 2000 Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028Oseledets, I. V.; Tyrtyshnikov, E. E. 142 2009 A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110Zhang, Zhimin; Naga, Ahmed 142 2005 Iterative Bregman projections for regularized transportation problems. Zbl 1319.49073Benamou, Jean-David; Carlier, Guillaume; Cuturi, Marco; Nenna, Luca; Peyré, Gabriel 141 2015 Fractional spectral collocation method. Zbl 1294.65097Zayernouri, Mohsen; Karniadakis, George Em 141 2014 Entropy stable spectral collocation schemes for the Navier-Stokes equations: discontinuous interfaces. Zbl 1457.65140Carpenter, Mark H.; Fisher, Travis C.; Nielsen, Eric J.; Frankel, Steven H. 139 2014 Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095Jiang, Guang-Shan; Tadmor, Eitan 139 1998 Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089Liska, Richard; Wendroff, Burton 139 2003 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108Dutt, A.; Rokhlin, V. 136 1993 Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028Al-Mohy, Awad H.; Higham, Nicholas J. 134 2011 The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436Peraire, J.; Persson, P.-O. 132 2008 Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos 132 2011 A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 131 2006 A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung 131 1999 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 130 2015 A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022Freund, Roland W. 128 1993 Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 128 2006 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 127 1998 Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084Soize, Christian; Ghanem, Roger 126 2004 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011Collino, Francis; Monk, Peter 125 1998 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 124 2012 Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017Forsyth, P. A.; Vetzal, K. R. 124 2002 A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194Wang, Hong; Basu, Treena S. 122 2012 A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307Fornberg, Bengt; Piret, Cécile 121 2007 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045Beylkin, Gregory; Mohlenkamp, Martin J. 120 2005 A stochastic Newton MCMC method for large-scale statistical inverse problems with application to seismic inversion. Zbl 1250.65011Martin, James; Wilcox, Lucas C.; Burstedde, Carsten; Ghattas, Omar 119 2012 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 118 1998 An adaptive time-stepping strategy for the molecular beam epitaxy models. Zbl 1234.35274Qiao, Zhonghua; Zhang, Zhengru; Tang, Tao 117 2011 Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127Bui-Thanh, T.; Willcox, K.; Ghattas, O. 116 2008 The method of regularized stokeslets. Zbl 1064.76080Cortez, Ricardo 116 2001 Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113Lubich, Christian; Schädle, Achim 115 2002 A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo 113 2015 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 113 2005 Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113Shen, Jie 110 1995 Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149Dietrich, C. R.; Newsam, G. N. 110 1997 Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042Zhang, Zhenyue; Zha, Hongyuan 110 2004 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 109 2010 Hybrid Gauss-trapezoidal quadrature rules. Zbl 0933.41019Alpert, Bradley K. 108 1999 Parallel time integration with multigrid. Zbl 1310.65115Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; Maclachlan, S. P.; Schroder, J. B. 107 2014 Numerical challenges in the use of polynomial chaos representations for stochastic processes. Zbl 1072.60042Debusschere, Bert J.; Najm, Habib N.; Pébay, Philippe P.; Knio, Omar M.; Ghanem, Roger G.; Le Maître, Olivier P. 107 2004 A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg 107 2013 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 106 2006 Manifold approximations via transported subspaces: model reduction for transport-dominated problems. Zbl 1514.78017Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. 5 2023 Randomized algorithms for rounding in the tensor-train format. Zbl 07673280Al Daas, Hussam; Ballard, Grey; Cazeaux, Paul; Hallman, Eric; Międlar, Agnieszka; Pasha, Mirjeta; Reid, Tim W.; Saibaba, Arvind K. 4 2023 On the stability of robust dynamical low-rank approximations for hyperbolic problems. Zbl 07673274Kusch, Jonas; Einkemmer, Lukas; Ceruti, Gianluca 3 2023 \(\mathcal{L}_2\)-optimal reduced-order modeling using parameter-separable forms. Zbl 1512.65098Mlinarić, Petar; Gugercin, Serkan 3 2023 Parallel algorithms for computing the tensor-train decomposition. Zbl 1517.65032Shi, Tianyi; Ruth, Maximilian; Townsend, Alex 3 2023 The p-AAA algorithm for data-driven modeling of parametric dynamical systems. Zbl 07704385Rodriguez, Andrea Carracedo; Balicki, Linus; Gugercin, Serkan 2 2023 Long-term analysis of stochastic Hamiltonian systems under time discretizations. Zbl 1512.65014D’Ambrosio, Raffaele; Di Giovacchino, Stefano 2 2023 Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. Zbl 07673289Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard 2 2023 High order compact schemes for flux type BCs. Zbl 1516.65115Li, Zhilin; Pan, Kejia 2 2023 SOBMOR: structured optimization-based model order reduction. Zbl 1514.93031Schwerdtner, Paul; Voigt, Matthias 2 2023 Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem. Zbl 07682248Antonietti, Paola F.; Bonetti, Stefano; Botti, Michele 2 2023 A unified analysis framework for iterative parallel-in-time algorithms. Zbl 07742965Gander, Martin J.; Lunet, Thibaut; Ruprecht, Daniel; Speck, Robert 2 2023 Fast multigrid reduction-in-time for advection via modified semi-Lagrangian coarse-grid operators. Zbl 1521.65090De 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 1521.35022McQuarrie, Shane A.; Khodabakhshi, Parisa; Willcox, Karen E. 1 2023 Failure-informed adaptive sampling for PINNs. Zbl 07729492Gao, Zhiwei; Yan, Liang; Zhou, Tao 1 2023 Parallel scalability of three-level FROSch preconditioners to 220000 cores using the theta supercomputer. Zbl 1515.65309Heinlein, Alexander; Rheinbach, Oliver; Röver, Friederike 1 2023 Globally convergent multilevel training of deep residual networks. Zbl 1515.65166Kopaničáková, Alena; Krause, Rolf 1 2023 Friedrichs learning: weak solutions of partial differential equations via deep learning. Zbl 07704383Chen, Fan; Huang, Jianguo; Wang, Chunmei; Yang, Haizhao 1 2023 An asymptotically compatible coupling formulation for nonlocal interface problems with jumps. Zbl 07704386Glusa, Christian; D’Elia, Marta; Capodaglio, Giacomo; Gunzburger, Max; Bochev, Pavel B. 1 2023 Port-Hamiltonian dynamic mode decomposition. Zbl 07713604Morandin, Riccardo; Nicodemus, Jonas; Unger, Benjamin 1 2023 Active operator inference for learning low-dimensional dynamical-system models from noisy data. Zbl 1515.93043Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin 1 2023 Flow in porous media with fractures of varying aperture. Zbl 1518.76051Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian 1 2023 Filtering for Anderson acceleration. Zbl 1515.65008Pollock, Sara; Rebholz, Leo G. 1 2023 Entropic trust region for densest crystallographic symmetry group packings. Zbl 07715399Torda, Miloslav; Goulermas, John Y.; Púček, Roland; Kurlin, Vitaliy 1 2023 Weighted-norm preconditioners for a multilayer tide model. Zbl 1518.65028Cotter, Colin J.; Kirby, Robert C.; Morris, Hunter 1 2023 Matrix multiplication in multiword arithmetic: error analysis and application to GPU tensor cores. Zbl 1511.65040Fasi, Massimiliano; Higham, Nicholas J.; Lopez, Florent; Mary, Theo; Mikaitis, Mantas 1 2023 Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. Zbl 1516.65081Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian 1 2023 Convergence of a robust deep FBSDE method for stochastic control. Zbl 1511.93120Andersson, Kristoffer; Andersson, Adam; Oosterlee, C. W. 1 2023 MGM: a meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. Zbl 1512.65249Wright, Grady B.; Jones, Andrew; Shankar, Varun 1 2023 Low-order preconditioning for the high-order finite element de Rham complex. Zbl 07676559Pazner, Will; Kolev, Tzanio; Dohrmann, Clark R. 1 2023 A new stopping criterion for Krylov solvers applied in interior point methods. Zbl 1512.65056Zanetti, Filippo; Gondzio, Jacek 1 2023 Dynamic finite-budget allocation of stratified sampling with adaptive variance reduction by strata. Zbl 1512.65008Song, Chenxiao; Kawai, Reiichiro 1 2023 Adaptive time step control for multirate infinitesimal methods. Zbl 1515.65210Fish, Alex C.; Reynolds, Daniel R. 1 2023 Mixed precision iterative refinement with sparse approximate inverse preconditioning. Zbl 1516.65023Carson, Erin; Khan, Noaman 1 2023 Horseshoe priors for edge-preserving linear Bayesian inversion. Zbl 07695777Uribe, Felipe; Dong, Yiqiu; Hansen, Per Christian 1 2023 A global optimization approach for multimarginal optimal transport problems with Coulomb cost. Zbl 1516.49029Hu, Yukuan; Chen, Huajie; Liu, Xin 1 2023 A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. Zbl 1516.65087Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian 1 2023 Randomized quasi-optimal local approximation spaces in time. Zbl 07693356Schleuß, Julia; Smetana, Kathrin; ter Maat, Lukas 1 2023 A convergent quadrature-based method for the Monge-Ampère equation. Zbl 1518.35422Brusca, Jake; Froese Hamfeldt, Brittany 1 2023 A fourth-order embedded boundary finite volume method for the unsteady Stokes equations with complex geometries. Zbl 07742970Overton-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 07556268Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 10 2022 High order semi-implicit WENO schemes for all-Mach full Euler system of gas dynamics. Zbl 07511035Boscarino, Sebastiano; Qiu, Jingmei; Russo, Giovanni; Xiong, Tao 8 2022 When do extended physics-informed neural networks (XPINNs) improve generalization? Zbl 1498.65183Hu, Zheyuan; Jagtap, Ameya D.; Karniadakis, George Em; Kawaguchi, Kenji 7 2022 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 6 2022 Approximation error analysis of some deep backward schemes for nonlinear PDEs. Zbl 1490.65231Germain, Maximilien; Pham, Huyên; Warin, Xavier 6 2022 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088Al Daas, Hussam; Ballard, Grey; Benner, Peter 6 2022 Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn local binary fitting model. Zbl 07471649Liu, Chaoyu; Qiao, Zhonghua; Zhang, Qian 6 2022 A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation. Zbl 07569639Liu, Chun; Wang, Cheng; Wang, Yiwei 5 2022 A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. Zbl 1486.65160Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario; Poltri, Simone Nati 5 2022 An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers. Zbl 1505.65305Laakmann, Fabian; Farrell, Patrick E.; Mitchell, Lawrence 5 2022 Geometric integration of ODEs using multiple quadratic auxiliary variables. Zbl 1497.65256Tapley, Benjamin K. 5 2022 Two-dimensional Fourier continuation and applications. Zbl 1490.35109Bruno, Oscar P.; Paul, Jagabandhu 4 2022 Randomized Gram-Schmidt process with application to GMRES. Zbl 1492.65096Balabanov, Oleg; Grigori, Laura 4 2022 Approximating optimal feedback controllers of finite horizon control problems using hierarchical tensor formats. Zbl 1491.49021Oster, Mathias; Sallandt, Leon; Schneider, Reinhold 4 2022 Genetic column generation: fast computation of high-dimensional multimarginal optimal transport problems. Zbl 1508.65064Friesecke, Gero; Schulz, Andreas S.; Vögler, Daniela 4 2022 Learning interaction kernels in mean-field equations of first-order systems of interacting particles. Zbl 07471652Lang, Quanjun; Lu, Fei 4 2022 Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. Zbl 1513.76102Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc 4 2022 A bound-preserving and positivity-preserving path-conservative discontinuous Galerkin method for solving five-equation model of compressible two-medium flows. Zbl 1496.65159Cheng, Jian; Zhang, Fan 4 2022 A robust algebraic domain decomposition preconditioner for sparse normal equations. Zbl 1492.65070Al Daas, Hussam; Jolivet, Pierre; Scott, Jennifer A. 3 2022 Energy-preserving continuous-stage exponential Runge-Kutta integrators for efficiently solving Hamiltonian systems. Zbl 1492.65188Mei, Lijie; Huang, Li; Wu, Xinyuan 3 2022 Data-driven algorithms for signal processing with trigonometric rational functions. Zbl 1509.41009Wilber, Heather; Damle, Anil; Townsend, Alex 3 2022 Compact exponential conservative approaches for the Schrödinger equation in the semiclassical regimes. Zbl 07537257Cai, Jiaxiang; Liang, Hua 3 2022 Explicit time stepping for the wave equation using CutFEM with discrete extension. Zbl 1493.65146Burman, Erik; Hansbo, Peter; Larson, Mats G. 3 2022 Parallel Newton-Krylov BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac bidomain equations. Zbl 1490.65304Huynh, Ngoc Mai Monica; Pavarino, Luca F.; Scacchi, Simone 3 2022 Efficient numerical algorithms for the generalized Langevin equation. Zbl 07482209Leimkuhler, Benedict; Sachs, Matthias 3 2022 Preconditioning for a pressure-robust HDG discretization of the Stokes equations. Zbl 1485.65122Rhebergen, Sander; Wells, Garth N. 3 2022 On port-Hamiltonian approximation of a nonlinear flow problem on networks. Zbl 07556264Liljegren-Sailer, Björn; Marheineke, Nicole 3 2022 An efficient unconditionally stable method for Dirichlet partitions in arbitrary domains. Zbl 07569628Wang, Dong 3 2022 Adaptive finite-difference interval estimation for noisy derivative-free optimization. Zbl 1492.90198Shi, Hao-Jun Michael; Xie, Yuchen; Xuan, Melody Qiming; Nocedal, Jorge 3 2022 Computing sensitivities in evolutionary systems: a real-time reduced order modeling strategy. Zbl 1487.37100Donello, Michael; Carpenter, Mark H.; Babaee, Hessam 3 2022 Space-time block preconditioning for incompressible flow. Zbl 1482.65042Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J. 3 2022 New optimized Robin-Robin domain decomposition methods using Krylov solvers for the Stokes-Darcy system. Zbl 1503.65309Liu, Yingzhi; Boubendir, Yassine; He, Xiaoming; He, Yinnian 3 2022 MIONet: learning multiple-input operators via tensor product. Zbl 07617460Jin, Pengzhan; Meng, Shuai; Lu, Lu 3 2022 Local compatibility boundary conditions for high-order accurate finite-difference approximations of PDEs. Zbl 1504.65166Al Hassanieh, Nour G.; Banks, Jeffrey W.; Henshaw, William D.; Schwendeman, Donald W. 3 2022 A controllability method for Maxwell’s equations. Zbl 1504.65250Chaumont-Frelet, T.; Grote, M. J.; Lanteri, S.; Tang, J. H. 3 2022 Robust identification of differential equations by numerical techniques from a single set of noisy observation. Zbl 07525086He, Yuchen; Kang, Sung-Ha; Liao, Wenjing; Liu, Hao; Liu, Yingjie 2 2022 Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. Zbl 1491.35340Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus 2 2022 A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. Zbl 1490.65212Walloth, Mirjam; Wollner, Winnifried 2 2022 Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 1492.65344Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B. 2 2022 Lightning Stokes solver. Zbl 1509.41008Brubeck, Pablo D.; Trefethen, Lloyd N. 2 2022 Grassmannian diffusion maps-based dimension reduction and classification for high-dimensional data. Zbl 1489.53136dos Santos, Ketson R.; Giovanis, Dimitrios G.; Shields, Michael D. 2 2022 Textbook efficiency: massively parallel matrix-free multigrid for the Stokes system. Zbl 1492.65080Kohl, Nils; Rüde, Ulrich 2 2022 Surface finite element approximation of spherical Whittle-Matérn Gaussian random fields. Zbl 07511041Jansson, Erik; Kovács, Mihály; Lang, Annika 2 2022 Invariant domain-preserving approximations for the Euler equations with tabulated equation of state. Zbl 1486.65164Clayton, Bennett; Guermond, Jean-Luc; Popov, Bojan 2 2022 Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391Grüne, Lars; Schaller, Manuel; Schiela, Anton 2 2022 Asynchronous multiplicative coarse-space correction. Zbl 1492.65076Gbikpi-Benissan, Guillaume; Magoulès, Frédéric 2 2022 A well-balanced asymptotic preserving scheme for the two-dimensional rotating shallow water equations with nonflat bottom topography. Zbl 07556265Kurganov, Alexander; Liu, Yongle; Lukáčová-Medviďová, Mária 2 2022 An efficient multimodes Monte Carlo homogenization method for random materials. Zbl 1492.65334Yang, Zihao; Huang, Jizu; Feng, Xiaobing; Guan, Xiaofei 2 2022 Multirate partially explicit scheme for multiscale flow problems. Zbl 1492.65268Leung, Wing Tat; Wang, Yating 2 2022 Stochastic parareal: an application of probabilistic methods to time-parallelization. Zbl 1492.65194Pentland, Kamran; Tamborrino, Massimiliano; Samaddar, Debasmita; Appel, Lynton C. 2 2022 Explicit stabilized multirate method for stiff stochastic differential equations. Zbl 1491.60115Abdulle, Assyr; Rosilho de Souza, Giacomo 2 2022 Energy stable and mass conservative numerical method for gas flow in porous media with rock compressibility. Zbl 1492.65252Kou, Jisheng; Wang, Xiuhua; Du, ShiGui 2 2022 slimTrain – a stochastic approximation method for training separable deep neural networks. Zbl 07569641Newman, Elizabeth; Chung, Julianne; Chung, Matthias; Ruthotto, Lars 2 2022 A mixed-integer PDE-constrained optimization formulation for electromagnetic cloaking. Zbl 1481.35139Vogt, Ryan H.; Leyffer, Sven; Munson, Todd S. 2 2022 An energy stable \(C^0\) Finite element scheme for a phase-field model of vesicle motion and deformation. Zbl 07459363Shen, Lingyue; Xu, Zhiliang; Lin, Ping; Huang, Huaxiong; Xu, Shixin 2 2022 An adaptive parareal algorithm: application to the simulation of molecular dynamics trajectories. Zbl 1482.65106Legoll, Frédéric; Lelièvre, Tony; Sharma, Upanshu 2 2022 An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems. Zbl 1484.65226Liu, Yong; Lu, Jianfang; Shu, Chi-Wang 2 2022 Unbiased MLMC stochastic gradient-based optimization of Bayesian experimental designs. Zbl 1484.62101Goda, Takashi; Hironaka, Tomohiko; Kitade, Wataru; Foster, Adam 2 2022 A shape Newton scheme for deforming shells with application to capillary bridges. Zbl 1496.49016Schmidt, Stephan; Gräßer, Melanie; Schmid, Hans-Joachim 2 2022 Noninvasive multigrid for semistructured grids. Zbl 1507.65278Mayr, Matthias; Berger-Vergiat, Luc; Ohm, Peter; Tuminaro, Ray S. 2 2022 ...and 1515 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 42,429 Authors 146 Shu, Chi-Wang 143 Karniadakis, George Em 129 Benner, Peter 129 Huang, Ting-Zhu 121 Dehghan Takht Fooladi, Mehdi 119 Reichel, Lothar 100 Dumbser, Michael 96 Wang, Hong 95 He, Yinnian 95 Shen, Jie 95 Yang, Xiaofeng 94 Huang, Yunqing 89 Qiu, Jianxian 88 Chung, Tsz Shun Eric 87 Nordström, Jan 80 Quarteroni, Alfio M. 79 Chen, Yanping 79 Gander, Martin Jakob 79 Zhang, Zhimin 77 Hesthaven, Jan S. 76 Feng, Xinlong 76 Kurganov, Alexander 75 Ng, Michael Kwok-Po 75 Oosterlee, Cornelis Willebrordus 73 Ma, Changfeng 73 Serra-Capizzano, Stefano 72 Rozza, Gianluigi 70 Wei, Yimin 68 Zhang, Guofeng 67 Jiang, Yaolin 65 Ying, Lexing 63 Wohlmuth, Barbara I. 62 Du, Qiang 61 Gunzburger, Max D. 60 Abgrall, Rémi 60 Lin, Guang 60 Liu, Fawang 60 Yuan, Guangwei 59 Ju, Lili 59 Zhu, Jun 58 Jin, Shi 58 Schwab, Christoph 58 Sun, Haiwei 56 Xu, Kun 55 Harbrecht, Helmut 55 Kressner, Daniel 55 Simoncini, Valeria 55 Vuik, Cornelis 55 Wheeler, Mary Fanett 54 Sandu, Adrian 54 Sun, Shuyu 52 Burman, Erik 52 He, Xiaoming 52 Kirby, Robert M. 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