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: 4,759 Publications (since 1993) References Indexed: 1,778 Publications with 73,523 References. all top 5 Latest Issues 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) 29, No. 2 (2007) 29, No. 1 (2007) 28, No. 6 (2006) 28, No. 5 (2006) 28, No. 4 (2006) 28, No. 3 (2006) 28, No. 2 (2006) 28, No. 1 (2006) 27, No. 6 (2006) ...and 83 more Volumes all top 5 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 Gander, Martin Jakob 26 Cai, Xiao-Chuan 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 Yavneh, Irad 18 Benzi, Michele 18 MacLachlan, Scott P. 18 Shen, Jie 17 Ainsworth, Mark 17 Benner, Peter 17 Narayan, Akil C. 17 Trefethen, Lloyd Nicholas 17 Tůma, Miroslav 17 Ying, Lexing 16 De Sterck, Hans 16 Falgout, Robert D. 16 Keyes, David Elliot 16 Rokhlin, Vladimir 16 Vandewalle, Stefan G. 16 Wathen, Andrew John 15 Biros, George 15 Demmel, James Weldon 15 Greengard, Leslie F. 15 Kilmer, Misha E. 15 Rüde, Ulrich 15 Simoncini, Valeria 15 Wohlmuth, Barbara I. 14 Adler, James H. 14 Golub, Gene Howard 14 Klawonn, Axel 14 Silvester, David J. 14 Willcox, Karen E. 13 Aykanat, Cevdet 13 Bao, Weizhu 13 de Sturler, Eric 13 Gugercin, Serkan 13 Jin, Shi 13 Kelley, Carl T. 13 Kolev, Tzanio V. 13 Stathopoulos, Andreas 12 Ascher, Uri M. 12 Brandt, Achi E. 12 Chan, Raymond Hon-Fu 12 Duff, Iain S. 12 Marzouk, Youssef M. 12 Olson, Luke N. 12 Reusken, Arnold 12 Sandu, Adrian 12 Tuminaro, Ray S. 11 Bui-Thanh, Tan 11 Chow, Edmond G. W. 11 Giraud, Luc 11 Haber, Eldad 11 Hansen, Per Christian 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 11 Pavarino, Luca Franco 11 Peskin, Charles S. 11 Petzold, Linda Ruth 11 Scott, Jennifer A. 11 Shadid, John N. 11 Szyld, Daniel B. 11 Wen, Zaiwen 11 Zhou, Tao 10 Cai, Zhenning 10 Chung, Julianne M. 10 Constantine, Paul G. 10 Du, Qiang 10 Hesthaven, Jan S. 10 Le Maître, Olivier P. 10 Lu, Jianfeng 10 Meerbergen, Karl 10 Notay, Yvan 10 O’Leary, Dianne P. 10 Oseledets, Ivan V. 10 Pareschi, Lorenzo 10 Puppo, Gabriella 10 Quarteroni, Alfio M. 10 Ruge, John W. 10 Schroder, Jacob B. 10 Southworth, Ben S. 10 Turner, Ian William 9 Abgrall, Rémi 9 Badia, Santiago 9 Bardsley, Johnathan M. 9 Barton, Paul I. 9 Borzì, Alfio 9 Burrage, Kevin ...and 6,202 more Authors all top 5 Fields 4,318 Numerical analysis (65-XX) 1,633 Partial differential equations (35-XX) 787 Fluid mechanics (76-XX) 303 Computer science (68-XX) 293 Calculus of variations and optimal control; optimization (49-XX) 258 Linear and multilinear algebra; matrix theory (15-XX) 254 Operations research, mathematical programming (90-XX) 251 Probability theory and stochastic processes (60-XX) 213 Statistics (62-XX) 206 Mechanics of deformable solids (74-XX) 201 Optics, electromagnetic theory (78-XX) 197 Ordinary differential equations (34-XX) 175 Statistical mechanics, structure of matter (82-XX) 163 Biology and other natural sciences (92-XX) 154 Approximations and expansions (41-XX) 130 Dynamical systems and ergodic theory (37-XX) 114 Systems theory; control (93-XX) 104 Information and communication theory, circuits (94-XX) 94 Integral equations (45-XX) 90 Geophysics (86-XX) 76 Combinatorics (05-XX) 65 Mechanics of particles and systems (70-XX) 64 Quantum theory (81-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 63 Classical thermodynamics, heat transfer (80-XX) 51 Operator theory (47-XX) 51 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) 27 Real functions (26-XX) 23 Astronomy and astrophysics (85-XX) 22 Functions of a complex variable (30-XX) 22 Differential geometry (53-XX) 18 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) 3 Measure and integration (28-XX) 3 Mathematics education (97-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) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-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 4,177 Publications have been cited 69,671 times in 37,792 Documents Cited by ▼ Year ▼ The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004Xiu, Dongbin; Karniadakis, George Em 786 2002 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 494 1999 A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129Karypis, George; Kumar, Vipin 457 1999 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 407 1995 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006Xiu, Dongbin; Hesthaven, Jan S. 401 2005 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022Saad, Youcef 372 1993 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169Chaturantabut, Saifon; Sorensen, Danny C. 361 2010 The MATLAB ODE suite. Zbl 0868.65040Shampine, Lawrence F.; Reichelt, Mark W. 336 1997 Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105Kassam, Aly-Khan; Trefethen, Lloyd N. 315 2005 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 307 2004 Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014Jiang, Guang-Shan; Peng, Danping 294 2000 Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097Shen, Jie 273 1994 A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077Xu, Jinchao 263 1994 Tensor-train decomposition. Zbl 1232.15018Oseledets, I. V. 262 2011 The use of the \(L\)-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030Hansen, Per Christian; O’Leary, Dianne Prost 255 1993 A note on preconditioning for indefinite linear systems. Zbl 0959.65063Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 205 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 202 2005 Exponential integrators for large systems of differential equations. Zbl 0912.65058Hochbruck, Marlis; Lubich, Christian 200 1998 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 200 2000 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 198 1997 Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021Eisenstat, Stanley C.; Walker, Homer F. 198 1996 Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008Jin, Shi 198 1999 Iterative methods for total variation denoising. Zbl 0847.65083Vogel, C. R.; Oman, M. E. 189 1996 Alternating direction algorithms for \(\ell_1\)-problems in compressive sensing. Zbl 1256.65060Yang, Junfeng; Zhang, Yin 182 2011 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 180 1999 A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214Fang, F.; Oosterlee, C. W. 176 2008 Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. 175 2005 Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033van den Berg, Ewout; Friedlander, Michael P. 173 2008 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 170 1998 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 168 2001 An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070Sussman, Mark; Fatemi, Emad 167 1999 Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109Qiu, Jianxian; Shu, Chi-Wang 166 2005 On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M. 156 1997 A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031Cai, Xiao-Chuan; Sarkis, Marcus 154 1999 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 153 2004 Stable computations with Gaussian radial basis functions. Zbl 1227.65018Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 152 2011 A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean 150 2007 Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M. 150 1993 Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028Knyazev, Andrew V. 148 2001 Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009Wan, Xiaoliang; Karniadakis, George Em 147 2006 A simple method for compressible multifluid flows. Zbl 0957.76057Saurel, Richard; Abgrall, Rémi 145 1999 Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044Gu, Ming; Eisenstat, Stanley C. 144 1996 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 143 2003 A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039Dohrmann, Clark R. 142 2003 Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031Grote, Marcus J.; Huckle, Thomas 141 1997 The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 140 2013 p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar 139 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 138 2010 A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052Penzl, Thilo 138 2000 Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I. 137 2010 Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 134 2002 Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa 132 2000 Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089Levy, Doron; Puppo, Gabriella; Russo, Giovanni 132 2000 A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022Freund, Roland W. 128 1993 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038Simoncini, V. 126 2007 Three-dimensional front tracking. Zbl 0912.65075Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni 125 1998 A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng 124 2014 Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095Jiang, Guang-Shan; Tadmor, Eitan 123 1998 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 122 2016 A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung 121 1999 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108Dutt, A.; Rokhlin, V. 121 1993 A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110Zhang, Zhimin; Naga, Ahmed 120 2005 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 120 2006 Fractional spectral collocation method. Zbl 1294.65097Zayernouri, Mohsen; Karniadakis, George Em 120 2014 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064Gander, Martin J.; Vandewalle, Stefan 120 2007 The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436Peraire, J.; Persson, P.-O. 119 2008 A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065Gassner, Gregor J. 119 2013 A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 118 2006 Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos 117 2011 Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028Oseledets, I. V.; Tyrtyshnikov, E. E. 117 2009 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011Collino, Francis; Monk, Peter 116 1998 Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017Forsyth, P. A.; Vetzal, K. R. 115 2002 Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028Al-Mohy, Awad H.; Higham, Nicholas J. 114 2011 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 111 1998 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045Beylkin, Gregory; Mohlenkamp, Martin J. 110 2005 Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084Soize, Christian; Ghanem, Roger 110 2004 A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307Fornberg, Bengt; Piret, Cécile 107 2007 Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113Shen, Jie 107 1995 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 105 2015 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 104 1998 A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194Wang, Hong; Basu, Treena S. 104 2012 Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089Liska, Richard; Wendroff, Burton 103 2003 Iterative Bregman projections for regularized transportation problems. Zbl 1319.49073Benamou, Jean-David; Carlier, Guillaume; Cuturi, Marco; Nenna, Luca; Peyré, Gabriel 103 2015 The method of regularized stokeslets. Zbl 1064.76080Cortez, Ricardo 102 2001 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 102 2005 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 101 2012 Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149Dietrich, C. R.; Newsam, G. N. 99 1997 On the numerical integration of ordinary differential equations by symmetric composition methods. Zbl 0821.65048McLachlan, Robert I. 99 1995 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 97 2015 Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127Bui-Thanh, T.; Willcox, K.; Ghattas, O. 96 2008 Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V. 95 1993 On the compression of low rank matrices. Zbl 1083.65042Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V. 95 2005 Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042Zhang, Zhenyue; Zha, Hongyuan 95 2004 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 94 1996 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 94 2006 Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113Lubich, Christian; Schädle, Achim 93 2002 Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057Elman, Howard C. 93 1999 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. 93 2004 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. 91 2014 An assessment of nonmonotone linesearch techniques for unconstrained optimization. Zbl 0849.90113Toint, Philippe L. 91 1996 PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis. Zbl 1481.65009Zhang, Hong; Constantinescu, Emil M.; Smith, Barry F. 1 2022 Computing sensitivities in evolutionary systems: a real-time reduced order modeling strategy. Zbl 07459364Donello, Michael; Carpenter, Mark H.; Babaee, Hessam 1 2022 Space-time block preconditioning for incompressible flow. Zbl 1482.65042Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J. 1 2022 Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. I: The linear setting. Zbl 07482211Southworth, Ben S.; Krzysik, Oliver; Pazner, Will; De Sterck, Hans 1 2022 Understanding and mitigating gradient flow pathologies in physics-informed neural networks. Zbl 07395804Wang, Sifan; Teng, Yujun; Perdikaris, Paris 10 2021 On a novel fully decoupled, second-order accurate energy stable numerical scheme for a binary fluid-surfactant phase-field model. Zbl 1478.65100Yang, Xiaofeng 8 2021 Adaptive deep learning for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1467.49028Nakamura-Zimmerer, Tenavi; Gong, Qi; Kang, Wei 8 2021 Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. Zbl 1468.65119Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 7 2021 Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041Benner, Peter; Goyal, Pawan 6 2021 An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre 6 2021 Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng 5 2021 Butterfly factorization via randomized matrix-vector multiplications. Zbl 1462.65044Liu, Yang; Xing, Xin; Guo, Han; Michielssen, Eric; Ghysels, Pieter; Li, Xiaoye Sherry 4 2021 Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. Zbl 1467.65023Higham, Nicholas J.; Pranesh, Srikara 4 2021 Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1471.65184Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K. 4 2021 Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 07364334Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong 4 2021 A multilevel Schwarz preconditioner based on a hierarchy of robust coarse spaces. Zbl 07364342Al Daas, Hussam; Grigori, Laura; Jolivet, Pierre; Tournier, Pierre-Henri 4 2021 A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 07379630Mu, Lin; Ye, Xiu; Zhang, Shangyou 3 2021 An all-At-once preconditioner for evolutionary partial differential equations. Zbl 07379636Lin, Xue-lei; Ng, Michael 3 2021 High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension. Zbl 07378158Fu, Pei; Kreiss, Gunilla 3 2021 Score-based parameter estimation for a class of continuous-time state space models. Zbl 07378169Beskos, Alexandros; Crisan, Dan; Jasra, Ajay; Kantas, Nikolas; Ruzayqat, Hamza 3 2021 The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 1473.65331Mirzaei, Davoud 3 2021 The aggregated unfitted finite element method on parallel tree-based adaptive meshes. Zbl 1472.65141Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc 3 2021 Sparse Cholesky factorization by Kullback-Leibler minimization. Zbl 07364386Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman 3 2021 On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065Bai, Zhong-Zhi; Wu, Wen-Ting 3 2021 Algorithms for the rational approximation of matrix-valued functions. Zbl 07395803Gosea, Ion Victor; Güttel, Stefan 2 2021 Deep splitting method for parabolic PDEs. Zbl 07395807Beck, Christian; Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Neufeld, Ariel 2 2021 Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation. Zbl 1482.65142Hou, Dianming; Xu, Chuanju 2 2021 Communication lower bounds of bilinear algorithms for symmetric tensor contractions. Zbl 07411922Solomonik, Edgar; Demmel, James; Hoefler, Torsten 2 2021 A new block preconditioner for implicit Runge-Kutta methods for parabolic PDE problems. Zbl 07418116Rana, Md. Masud; Howle, Victoria E.; Long, Katharine; Meek, Ashley; Milestone, William 2 2021 An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. Zbl 1481.65142Liao, Hong-Lin; Tang, Tao; Zhou, Tao 2 2021 Optimal and low-memory near-optimal preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs. 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Zbl 07364332Yang, L. Minah; Fox, Alyson; Sanders, Geoffrey 1 2021 ...and 1469 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 36,525 Authors 130 Shu, Chi-Wang 121 Huang, Ting-Zhu 121 Karniadakis, George Em 114 Benner, Peter 110 Reichel, Lothar 109 Dehghan Takht Fooladi, Mehdi 86 Shen, Jie 85 He, Yinnian 84 Dumbser, Michael 82 Wang, Hong 77 Qiu, Jianxian 77 Yang, Xiaofeng 76 Nordström, Jan 75 Huang, Yunqing 74 Chung, Tsz Shun Eric 70 Hesthaven, Jan S. 69 Oosterlee, Cornelis Willebrordus 69 Quarteroni, Alfio M. 68 Ma, Changfeng 67 Zhang, Zhimin 63 Serra-Capizzano, Stefano 63 Zhang, Guofeng 62 Wei, Yimin 61 Gander, Martin Jakob 61 Ng, Michael Kwok-Po 58 Chen, Yanping 57 Du, Qiang 57 Wohlmuth, Barbara I. 56 Kurganov, Alexander 56 Ying, Lexing 55 Feng, Xinlong 55 Jiang, Yaolin 54 Lin, Guang 51 Simoncini, Valeria 50 Abgrall, Rémi 50 Gunzburger, Max D. 50 Liu, Fawang 50 Tezduyar, Tayfun E. 49 Jin, Shi 49 Sandu, Adrian 49 Schwab, Christoph 49 Xu, Kun 48 Harbrecht, Helmut 48 Vuik, Cornelis 48 Wheeler, Mary Fanett 48 Yuan, Guangwei 47 Chen, Ke 47 Ju, Lili 47 Rozza, Gianluigi 47 Zhang, Chengjian 46 Bai, Zhongzhi 46 Kressner, Daniel 46 Nobile, Fabio 46 Sun, Zhizhong 46 Wall, Wolfgang A. 45 Axelsson, Axel Owe Holger 45 Bao, Weizhu 45 Narayan, Akil C. 45 Vohralík, Martin 44 He, Xiaoming 44 Hou, Yanren 43 Benzi, Michele 43 Cai, Xiao-Chuan 43 Cockburn, Bernardo 43 Kunisch, Karl 43 Li, Zhilin 43 Saad, Yousef 43 Seaïd, Mohammed 43 Sun, Shuyu 42 Fu, Chuli 42 Pavarino, Luca Franco 42 Xiu, Dongbin 42 Xu, Jinchao 42 Zhu, Jun 41 Antoine, Xavier 41 Donatelli, Marco 41 Greengard, Leslie F. 41 Khaliq, Abdul Q. 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