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: 4,630 Publications (since 1993) References Indexed: 1,650 Publications with 67,905 References. all top 5 Latest Issues 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) 27, No. 5 (2006) 27, No. 4 (2006) 27, No. 3 (2005) 27, No. 2 (2005) ...and 79 more Volumes all top 5 Authors 41 Manteuffel, Thomas A. 37 Karniadakis, George Em 34 Saad, Yousef 33 Vassilevski, Panayot Spirov 32 McCormick, Steve Fahrney 28 Ng, Michael Kwok-Po 27 Gander, Martin Jakob 25 Cai, Xiao-Chuan 25 Higham, Nicholas J. 23 Shu, Chi-Wang 21 Ghattas, Omar N. 20 Chan, Tony Fan-Cheong 20 Elman, Howard C. 20 Oosterlee, Cornelis Willebrordus 20 Xiu, Dongbin 18 Benzi, Michele 18 Shen, Jie 18 Yavneh, Irad 17 MacLachlan, Scott P. 17 Trefethen, Lloyd Nicholas 17 Tůma, Miroslav 17 Ying, Lexing 16 Ainsworth, Mark 16 Benner, Peter 16 Falgout, Robert D. 16 Rokhlin, Vladimir 16 Vandewalle, Stefan G. 15 Greengard, Leslie F. 15 Keyes, David Elliot 15 Kilmer, Misha E. 15 Narayan, Akil C. 15 Simoncini, Valeria 15 Wathen, Andrew John 15 Wohlmuth, Barbara I. 14 Biros, George 14 De Sterck, Hans 14 Demmel, James Weldon 14 Golub, Gene Howard 14 Klawonn, Axel 14 Rüde, Ulrich 14 Silvester, David J. 14 Willcox, Karen E. 13 Adler, James H. 13 Bao, Weizhu 13 Jin, Shi 13 Kelley, Carl T. 13 Stathopoulos, Andreas 12 Ascher, Uri M. 12 Aykanat, Cevdet 12 Brandt, Achi E. 12 Chan, Raymond Hon-Fu 12 de Sturler, Eric 12 Duff, Iain S. 12 Gugercin, Serkan 12 Kolev, Tzanio V. 12 Marzouk, Youssef M. 12 Olson, Luke N. 12 Reusken, Arnold 12 Sandu, Adrian 11 Bui-Thanh, Tan 11 Chow, Edmond G. W. 11 Giraud, Luc 11 Haber, Eldad 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 11 Peskin, Charles S. 11 Petzold, Linda Ruth 11 Shadid, John N. 11 Szyld, Daniel B. 11 Wen, Zaiwen 11 Zhou, Tao 10 Constantine, Paul G. 10 Du, Qiang 10 Hansen, Per Christian 10 Le Maître, Olivier P. 10 Meerbergen, Karl 10 Notay, Yvan 10 O’Leary, Dianne P. 10 Oseledets, Ivan V. 10 Pareschi, Lorenzo 10 Pavarino, Luca Franco 10 Puppo, Gabriella 10 Quarteroni, Alfio M. 10 Ruge, John W. 10 Schroder, Jacob B. 10 Tuminaro, Ray S. 10 Turner, Ian William 9 Abgrall, Rémi 9 Badia, Santiago 9 Bardsley, Johnathan M. 9 Barton, Paul I. 9 Burrage, Kevin 9 Cai, Zhenning 9 Chung, Julianne M. 9 Colella, Phillip 9 Debusschere, Bert J. 9 Dongarra, Jack J. 9 Drmač, Zlatko 9 Gaspar, Francisco José ...and 6,059 more Authors all top 5 Fields 4,205 Numerical analysis (65-XX) 1,588 Partial differential equations (35-XX) 764 Fluid mechanics (76-XX) 283 Computer science (68-XX) 279 Calculus of variations and optimal control; optimization (49-XX) 247 Linear and multilinear algebra; matrix theory (15-XX) 244 Operations research, mathematical programming (90-XX) 241 Probability theory and stochastic processes (60-XX) 202 Statistics (62-XX) 199 Mechanics of deformable solids (74-XX) 197 Ordinary differential equations (34-XX) 194 Optics, electromagnetic theory (78-XX) 170 Statistical mechanics, structure of matter (82-XX) 152 Biology and other natural sciences (92-XX) 151 Approximations and expansions (41-XX) 124 Dynamical systems and ergodic theory (37-XX) 109 Systems theory; control (93-XX) 102 Information and communication theory, circuits (94-XX) 93 Integral equations (45-XX) 90 Geophysics (86-XX) 74 Combinatorics (05-XX) 63 Classical thermodynamics, heat transfer (80-XX) 63 Quantum theory (81-XX) 62 Mechanics of particles and systems (70-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 51 Operator theory (47-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Special functions (33-XX) 33 Potential theory (31-XX) 33 Integral transforms, operational calculus (44-XX) 33 Global analysis, analysis on manifolds (58-XX) 25 Real functions (26-XX) 22 Functions of a complex variable (30-XX) 21 Differential geometry (53-XX) 20 Astronomy and astrophysics (85-XX) 18 Functional analysis (46-XX) 14 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) 6 Field theory and polynomials (12-XX) 6 Relativity and gravitational theory (83-XX) 5 Manifolds and cell complexes (57-XX) 3 Mathematics education (97-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-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 3,958 Publications have been cited 61,555 times in 33,756 Documents Cited by ▼ Year ▼ The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004Xiu, Dongbin; Karniadakis, George Em 704 2002 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 479 1999 A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129Karypis, George; Kumar, Vipin 418 1999 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006Xiu, Dongbin; Hesthaven, Jan S. 367 2005 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 345 1995 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022Saad, Youcef 337 1993 The MATLAB ODE suite. Zbl 0868.65040Shampine, Lawrence F.; Reichelt, Mark W. 301 1997 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169Chaturantabut, Saifon; Sorensen, Danny C. 294 2010 Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105Kassam, Aly-Khan; Trefethen, Lloyd N. 281 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 271 2004 Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014Jiang, Guang-Shan; Peng, Danping 264 2000 Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097Shen, Jie 244 1994 The use of the \(L\)-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030Hansen, Per Christian; O’Leary, Dianne Prost 240 1993 A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077Xu, Jinchao 233 1994 Tensor-train decomposition. Zbl 1232.15018Oseledets, I. V. 230 2011 A note on preconditioning for indefinite linear systems. Zbl 0959.65063Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 190 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 186 2005 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 185 1997 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 183 2000 Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021Eisenstat, Stanley C.; Walker, Homer F. 183 1996 Iterative methods for total variation denoising. Zbl 0847.65083Vogel, C. R.; Oman, M. E. 178 1996 Alternating direction algorithms for \(\ell_1\)-problems in compressive sensing. Zbl 1256.65060Yang, Junfeng; Zhang, Yin 176 2011 Exponential integrators for large systems of differential equations. Zbl 0912.65058Hochbruck, Marlis; Lubich, Christian 175 1998 Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008Jin, Shi 173 1999 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 173 1999 Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033van den Berg, Ewout; Friedlander, Michael P. 162 2008 An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070Sussman, Mark; Fatemi, Emad 153 1999 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 152 2001 A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214Fang, F.; Oosterlee, C. W. 151 2008 Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. 141 2005 Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109Qiu, Jianxian; Shu, Chi-Wang 140 2005 Stable computations with Gaussian radial basis functions. Zbl 1227.65018Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 139 2011 On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M. 138 1997 Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009Wan, Xiaoliang; Karniadakis, George Em 138 2006 Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031Grote, Marcus J.; Huckle, Thomas 136 1997 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 135 2004 Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044Gu, Ming; Eisenstat, Stanley C. 134 1996 A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031Cai, Xiao-Chuan; Sarkis, Marcus 134 1999 A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039Dohrmann, Clark R. 134 2003 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 133 1998 Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028Knyazev, Andrew V. 133 2001 A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052Penzl, Thilo 132 2000 Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M. 131 1993 A simple method for compressible multifluid flows. Zbl 0957.76057Saurel, Richard; Abgrall, Rémi 131 1999 A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean 129 2007 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 128 2003 The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 127 2013 A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022Freund, Roland W. 127 1993 Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa 125 2000 Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 125 2002 Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I. 120 2010 Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095Jiang, Guang-Shan; Tadmor, Eitan 119 1998 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 117 2006 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038Simoncini, V. 117 2007 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108Dutt, A.; Rokhlin, V. 116 1993 p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar 113 2011 Three-dimensional front tracking. Zbl 0912.65075Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni 112 1998 A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 111 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 110 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 110 2010 Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028Oseledets, I. V.; Tyrtyshnikov, E. E. 110 2009 Fractional spectral collocation method. Zbl 1294.65097Zayernouri, Mohsen; Karniadakis, George Em 109 2014 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 108 1998 A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung 108 1999 A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110Zhang, Zhimin; Naga, Ahmed 107 2005 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 107 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 107 2014 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064Gander, Martin J.; Vandewalle, Stefan 106 2007 Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089Levy, Doron; Puppo, Gabriella; Russo, Giovanni 103 2000 Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084Soize, Christian; Ghanem, Roger 103 2004 Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017Forsyth, P. A.; Vetzal, K. R. 103 2002 A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307Fornberg, Bengt; Piret, Cécile 102 2007 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045Beylkin, Gregory; Mohlenkamp, Martin J. 102 2005 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011Collino, Francis; Monk, Peter 101 1998 Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113Shen, Jie 99 1995 The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436Peraire, J.; Persson, P.-O. 99 2008 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 98 1998 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 96 2005 Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028Al-Mohy, Awad H.; Higham, Nicholas J. 96 2011 On the numerical integration of ordinary differential equations by symmetric composition methods. Zbl 0821.65048McLachlan, Robert I. 95 1995 Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149Dietrich, C. R.; Newsam, G. N. 93 1997 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 91 1996 The method of regularized stokeslets. Zbl 1064.76080Cortez, Ricardo 91 2001 Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057Elman, Howard C. 91 1999 A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065Gassner, Gregor J. 90 2013 Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V. 90 1993 On the compression of low rank matrices. Zbl 1083.65042Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V. 89 2005 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 89 2012 An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices. Zbl 0770.65022Freund, Roland W.; Gutknecht, Martin H.; Nachtigal, Noël M. 89 1993 Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042Zhang, Zhenyue; Zha, Hongyuan 88 2004 A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194Wang, Hong; Basu, Treena S. 88 2012 Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127Bui-Thanh, T.; Willcox, K.; Ghattas, O. 87 2008 Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089Liska, Richard; Wendroff, Burton 87 2003 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 87 2015 An improved spectral graph partitioning algorithm for mapping parallel computations. Zbl 0816.68093Hendrickson, Bruce; Leland, Robert 86 1995 An assessment of nonmonotone linesearch techniques for unconstrained optimization. Zbl 0849.90113Toint, Philippe L. 86 1996 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. 84 2004 Hybrid Gauss-trapezoidal quadrature rules. Zbl 0933.41019Alpert, Bradley K. 83 1999 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 82 2015 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 81 2010 The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 07328665Mirzaei, Davoud 2 2021 Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris; Kweyu, Cleophas; Stein, Matthias 2 2021 Butterfly factorization via randomized matrix-vector multiplications. Zbl 1462.65044Liu, Yang; Xing, Xin; Guo, Han; Michielssen, Eric; Ghysels, Pieter; Li, Xiaoye Sherry 2 2021 Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. Zbl 07340710Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 2 2021 Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. Zbl 1456.49038Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin 1 2021 Polynomial preconditioned Arnoldi with stability control. Zbl 1464.65035Embree, Mark; Loe, Jennifer A.; Morgan, Ronald 1 2021 Laplacian smoothing stochastic gradient Markov chain Monte Carlo. Zbl 1464.65007Wang, Bao; Zou, Difan; Gu, Quanquan; Osher, Stanley J. 1 2021 Preconditioning the mass matrix for high order finite element approximation on tetrahedra. Zbl 1466.65174Ainsworth, Mark; Jiang, Shuai 1 2021 Computing edge states without hard truncation. Zbl 07331001Thicke, Kyle; Watson, Alexander B.; Lu, Jianfeng 1 2021 High-order well-balanced finite-volume schemes for hydrodynamic equations with nonlocal free energy. Zbl 07331003Carrillo, José A.; Castro, Manuel J.; Kalliadasis, Serafim; Perez, Sergio P. 1 2021 Fast variable density 3-D node generation. Zbl 07331666van der Sande, Kiera; Fornberg, Bengt 1 2021 Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. Zbl 1467.65023Higham, Nicholas J.; Pranesh, Srikara 1 2021 Closed form dispersion corrections including a real shifted wavenumber for finite difference discretizations of 2D constant coefficient Helmholtz problems. Zbl 1464.35064Cocquet, Pierre-Henri; Gander, Martin J.; Xiang, Xueshuang 1 2021 A unified meshfree pseudospectral method for solving both classical and fractional PDEs. Zbl 07340715Burkardt, John; Wu, Yixuan; Zhang, Yanzhi 1 2021 Adaptive deep learning for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1467.49028Nakamura-Zimmerer, Tenavi; Gong, Qi; Kang, Wei 1 2021 Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 07364328Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K. 1 2021 A multilevel Schwarz preconditioner based on a hierarchy of robust coarse spaces. Zbl 07364342Al Daas, Hussam; Grigori, Laura; Jolivet, Pierre; Tournier, Pierre-Henri 1 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 1 2021 Rational spectral filters with optimal convergence rate. Zbl 07379632Kollnig, Konrad; Bientinesi, Paolo; Di Napoli, Edoardo A. 1 2021 Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634Langer, Ulrich; Zank, Marco 1 2021 Relaxation Runge-Kutta methods: fully discrete explicit entropy-stable schemes for the compressible Euler and Navier-Stokes equations. Zbl 1432.76207Ranocha, Hendrik; Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo; Ketcheson, David I. 13 2020 Arbitrarily high-order unconditionally energy stable schemes for thermodynamically consistent gradient flow models. Zbl 1447.65099Gong, Yuezheng; Zhao, Jia; Wang, Qi 9 2020 Gradient-based dimension reduction of multivariate vector-valued functions. Zbl 1433.41007Zahm, Olivier; Constantine, Paul G.; Prieur, Clémentine; Marzouk, Youssef M. 8 2020 Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. Zbl 1444.65006De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. 7 2020 The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing. Zbl 1447.65057Liu, Zhengguang; Li, Xiaoli 7 2020 Robust preconditioners for a new stabilized discretization of the poroelastic equations. Zbl 1448.65145Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T. 7 2020 Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao 6 2020 A simple solver for the fractional Laplacian in multiple dimensions. Zbl 1437.65242Minden, Victor; Ying, Lexing 6 2020 A novel energy factorization approach for the diffuse-interface model with Peng-Robinson equation of state. Zbl 1432.65169Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 5 2020 Trefftz finite elements on curvilinear polygons. Zbl 1440.65173Anand, Akash; Ovall, Jeffrey S.; Reynolds, Samuel E.; Weißer, Steffen 5 2020 Parameter recovery for the 2 dimensional Navier-Stokes equations via continuous data assimilation. Zbl 07163356Carlson, Elizabeth; Hudson, Joshua; Larios, Adam 4 2020 Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200Endtmayer, B.; Langer, U.; Wick, T. 4 2020 A low-rank tensor method for PDE-constrained optimization with isogeometric analysis. Zbl 1429.65061Bünger, Alexandra; Dolgov, Sergey; Stoll, Martin 3 2020 Physics-informed generative adversarial networks for stochastic differential equations. Zbl 1440.60065Yang, Liu; Zhang, Dongkun; Karniadakis, George Em 3 2020 Rotation-based mixed formulations for an elasticity-poroelasticity interface problem. Zbl 1455.65208Anaya, Verónica; de Wijn, Zoa; Gómez-Vargas, Bryan; Mora, David; Ruiz-Baier, Ricardo 3 2020 Learning in modal space: solving time-dependent stochastic PDEs using physics-informed neural networks. Zbl 1440.60067Zhang, Dongkun; Guo, Ling; Karniadakis, George Em 3 2020 A registration method for model order reduction: data compression and geometry reduction. Zbl 1439.65196Taddei, Tommaso 3 2020 First and second order shape optimization based on restricted mesh deformations. Zbl 07206723Etling, Tommy; Herzog, Roland; Loayza, Estefanía; Wachsmuth, Gerd 3 2020 Scalable optimization-based sampling on function space. Zbl 07206728Bardsley, Johnathan M.; Cui, Tiangang; Marzouk, Youssef M.; Wang, Zheng 3 2020 Pressure robust weak Galerkin finite element methods for Stokes problems. Zbl 1440.65224Mu, Lin 3 2020 Coupled multirate infinitesimal GARK schemes for stiff systems with multiple time scales. 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Zbl 1451.65227Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi 1 2020 ...and 1376 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 33,221 Authors 120 Shu, Chi-Wang 117 Huang, Ting-Zhu 104 Karniadakis, George Em 104 Reichel, Lothar 101 Dehghan Takht Fooladi, Mehdi 100 Benner, Peter 80 Shen, Jie 75 Dumbser, Michael 69 He, Yinnian 69 Nordström, Jan 69 Wang, Hong 66 Ma, Changfeng 65 Quarteroni, Alfio M. 61 Huang, Yunqing 61 Oosterlee, Cornelis Willebrordus 61 Qiu, Jianxian 61 Wei, Yimin 61 Yang, Xiaofeng 60 Gander, Martin Jakob 60 Hesthaven, Jan S. 60 Serra-Capizzano, Stefano 59 Chung, Tsz Shun Eric 59 Zhang, Guofeng 56 Wohlmuth, Barbara I. 56 Zhang, Zhimin 54 Ng, Michael Kwok-Po 53 Ying, Lexing 52 Du, Qiang 50 Tezduyar, Tayfun E. 49 Kurganov, Alexander 49 Simoncini, Valeria 48 Schwab, Christoph 47 Feng, Xinlong 47 Jin, Shi 47 Liu, Fawang 47 Sandu, Adrian 46 Lin, Guang 46 Wheeler, Mary Fanett 45 Bai, Zhongzhi 45 Harbrecht, Helmut 45 Kressner, Daniel 44 Cai, Xiao-Chuan 44 Gunzburger, Max D. 44 Vuik, Cornelis 44 Wall, Wolfgang A. 43 Chen, Ke 43 Jiang, Yaolin 43 Sun, Zhizhong 43 Vohralík, Martin 43 Zhang, Chengjian 42 Abgrall, Rémi 42 Fu, Chuli 42 Saad, Yousef 41 Axelsson, Axel Owe Holger 41 Benzi, Michele 41 Chen, Yanping 41 Nobile, Fabio 41 Pavarino, Luca Franco 40 Greengard, Leslie F. 40 Hou, Yanren 40 Kunisch, Karl 40 Li, Zhilin 39 Cockburn, Bernardo 39 Donatelli, Marco 39 Khaliq, Abdul Q. 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