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: 4,909 Publications (since 1993) References Indexed: 1,950 Publications with 80,866 References. all top 5 Latest Issues 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) 29, No. 2 (2007) 29, No. 1 (2007) 28, No. 6 (2006) 28, No. 5 (2006) 28, No. 4 (2006) 28, No. 3 (2006) ...and 86 more Volumes all top 5 Authors 42 Manteuffel, Thomas A. 40 Karniadakis, George Em 34 McCormick, Steve Fahrney 34 Saad, Yousef 34 Vassilevski, Panayot Spirov 28 Ng, Michael Kwok-Po 27 Cai, Xiao-Chuan 27 Gander, Martin Jakob 25 Higham, Nicholas J. 24 Shu, Chi-Wang 22 Ghattas, Omar N. 20 Chan, Tony Fan-Cheong 20 Elman, Howard C. 20 Oosterlee, Cornelis Willebrordus 20 Xiu, Dongbin 19 Ainsworth, Mark 19 MacLachlan, Scott P. 19 Shen, Jie 19 Yavneh, Irad 18 Benzi, Michele 18 Russo, Giovanni 18 Trefethen, Lloyd Nicholas 17 Benner, Peter 17 Keyes, David Elliot 17 Narayan, Akil C. 17 Tůma, Miroslav 17 Ying, Lexing 16 Biros, George 16 De Sterck, Hans 16 Falgout, Robert D. 16 Rokhlin, Vladimir 16 Rüde, Ulrich 16 Simoncini, Valeria 16 Vandewalle, Stefan G. 16 Wathen, Andrew John 15 Adler, James H. 15 Demmel, James Weldon 15 Greengard, Leslie F. 15 Kilmer, Misha Elena 15 Klawonn, Axel 15 Silvester, David J. 15 Willcox, Karen E. 15 Wohlmuth, Barbara I. 14 Aykanat, Cevdet 14 Golub, Gene Howard 14 Jin, Shi 14 Sandu, Adrian 14 Stathopoulos, Andreas 13 Bao, Weizhu 13 Chan, Raymond Hon-Fu 13 de Sturler, Eric 13 Gugercin, Serkan 13 Kelley, Carl T. 13 Kolev, Tzanio V. 13 Reusken, Arnold 13 Tuminaro, Ray S. 12 Ascher, Uri M. 12 Brandt, Achi E. 12 Bui-Thanh, Tan 12 Duff, Iain S. 12 Marzouk, Youssef M. 12 Olson, Luke N. 12 Pavarino, Luca Franco 12 Szyld, Daniel B. 11 Cai, Zhenning 11 Chow, Edmond G. W. 11 Chung, Julianne M. 11 Giraud, Luc 11 Haber, Eldad 11 Hansen, Per Christian 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 11 Meerbergen, Karl 11 Oseledets, Ivan Valer’evich 11 Peskin, Charles S. 11 Petzold, Linda Ruth 11 Quarteroni, Alfio M. 11 Scott, Jennifer A. 11 Shadid, John N. 11 Wen, Zaiwen 11 Zhou, Tao 10 Burman, Erik 10 Constantine, Paul G. 10 Du, Qiang 10 Grigori, Laura 10 Hesthaven, Jan S. 10 Hu, Xiaozhe 10 Kirby, Robert M. II 10 Knepley, Matthew G. 10 Le Maître, Olivier P. 10 Lu, Jianfeng 10 Notay, Yvan 10 O’Leary, Dianne P. 10 Pareschi, Lorenzo 10 Petersson, N. Anders 10 Puppo, Gabriella 10 Ruge, John W. 10 Schroder, Jacob B. 10 Southworth, Ben S. ...and 6,428 more Authors all top 5 Fields 4,457 Numerical analysis (65-XX) 1,683 Partial differential equations (35-XX) 822 Fluid mechanics (76-XX) 331 Computer science (68-XX) 311 Calculus of variations and optimal control; optimization (49-XX) 269 Linear and multilinear algebra; matrix theory (15-XX) 264 Operations research, mathematical programming (90-XX) 257 Probability theory and stochastic processes (60-XX) 222 Statistics (62-XX) 213 Mechanics of deformable solids (74-XX) 205 Optics, electromagnetic theory (78-XX) 201 Ordinary differential equations (34-XX) 178 Statistical mechanics, structure of matter (82-XX) 168 Biology and other natural sciences (92-XX) 163 Approximations and expansions (41-XX) 135 Dynamical systems and ergodic theory (37-XX) 120 Systems theory; control (93-XX) 111 Information and communication theory, circuits (94-XX) 97 Integral equations (45-XX) 90 Geophysics (86-XX) 80 Combinatorics (05-XX) 69 Quantum theory (81-XX) 68 Mechanics of particles and systems (70-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 63 Classical thermodynamics, heat transfer (80-XX) 53 Operator theory (47-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Special functions (33-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Potential theory (31-XX) 33 Integral transforms, operational calculus (44-XX) 29 Real functions (26-XX) 23 Differential geometry (53-XX) 23 Astronomy and astrophysics (85-XX) 22 Functions of a complex variable (30-XX) 22 Functional analysis (46-XX) 15 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 7 Relativity and gravitational theory (83-XX) 6 Field theory and polynomials (12-XX) 6 Manifolds and cell complexes (57-XX) 4 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) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,341 Publications have been cited 76,412 times in 40,695 Documents Cited by ▼ Year ▼ The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004Xiu, Dongbin; Karniadakis, George Em 846 2002 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 517 1999 A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129Karypis, George; Kumar, Vipin 493 1999 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 458 1995 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006Xiu, Dongbin; Hesthaven, Jan S. 432 2005 Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169Chaturantabut, Saifon; Sorensen, Danny C. 424 2010 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022Saad, Youcef 393 1993 The MATLAB ODE suite. Zbl 0868.65040Shampine, Lawrence F.; Reichelt, Mark W. 364 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 338 2004 Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105Kassam, Aly-Khan; Trefethen, Lloyd N. 337 2005 Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014Jiang, Guang-Shan; Peng, Danping 310 2000 Tensor-train decomposition. Zbl 1232.15018Oseledets, I. V. 308 2011 Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097Shen, Jie 293 1994 A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077Xu, Jinchao 289 1994 The use of the \(L\)-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030Hansen, Per Christian; O’Leary, Dianne Prost 265 1993 A note on preconditioning for indefinite linear systems. Zbl 0959.65063Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 223 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 219 2005 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 217 2000 Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008Jin, Shi 214 1999 Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021Eisenstat, Stanley C.; Walker, Homer F. 208 1996 Exponential integrators for large systems of differential equations. Zbl 0912.65058Hochbruck, Marlis; Lubich, Christian 208 1998 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 205 1997 Iterative methods for total variation denoising. Zbl 0847.65083Vogel, C. R.; Oman, M. E. 203 1996 Alternating direction algorithms for \(\ell_1\)-problems in compressive sensing. Zbl 1256.65060Yang, Junfeng; Zhang, Yin 199 2011 Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033van den Berg, Ewout; Friedlander, Michael P. 197 2008 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 192 1999 Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. 190 2005 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 187 1998 A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214Fang, F.; Oosterlee, C. W. 185 2008 Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana 181 2001 Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109Qiu, Jianxian; Shu, Chi-Wang 176 2005 An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070Sussman, Mark; Fatemi, Emad 176 1999 A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031Cai, Xiao-Chuan; Sarkis, Marcus 168 1999 Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M. 167 1993 On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M. 167 1997 Stable computations with Gaussian radial basis functions. Zbl 1227.65018Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 163 2011 A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean 163 2007 Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025Bao, Weizhu; Du, Qiang 160 2004 A simple method for compressible multifluid flows. Zbl 0957.76057Saurel, Richard; Abgrall, Rémi 159 1999 Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028Knyazev, Andrew V. 158 2001 A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. Zbl 1410.76464Shen, Jie; Yang, Xiaofeng 157 2010 Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009Wan, Xiaoliang; Karniadakis, George Em 155 2006 p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar 154 2011 The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 152 2013 A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039Dohrmann, Clark R. 151 2003 Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044Gu, Ming; Eisenstat, Stanley C. 150 1996 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 150 2003 Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089Levy, Doron; Puppo, Gabriella; Russo, Giovanni 149 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. 148 2010 Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031Grote, Marcus J.; Huckle, Thomas 147 1997 Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 144 2002 A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052Penzl, Thilo 144 2000 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 136 2016 Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa 136 2000 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038Simoncini, V. 136 2007 A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065Gassner, Gregor J. 135 2013 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064Gander, Martin J.; Vandewalle, Stefan 135 2007 Three-dimensional front tracking. Zbl 0912.65075Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni 134 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 132 2014 A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110Zhang, Zhimin; Naga, Ahmed 131 2005 Fractional spectral collocation method. Zbl 1294.65097Zayernouri, Mohsen; Karniadakis, George Em 130 2014 Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095Jiang, Guang-Shan; Tadmor, Eitan 130 1998 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108Dutt, A.; Rokhlin, V. 129 1993 Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028Oseledets, I. V.; Tyrtyshnikov, E. E. 129 2009 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 125 2006 Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089Liska, Richard; Wendroff, Burton 125 2003 A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung 125 1999 A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 124 2006 The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436Peraire, J.; Persson, P.-O. 124 2008 Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028Al-Mohy, Awad H.; Higham, Nicholas J. 123 2011 Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos 123 2011 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011Collino, Francis; Monk, Peter 122 1998 Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084Soize, Christian; Ghanem, Roger 120 2004 Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. 119 1998 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. 118 2014 Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017Forsyth, P. A.; Vetzal, K. R. 117 2002 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 116 1998 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045Beylkin, Gregory; Mohlenkamp, Martin J. 116 2005 Iterative Bregman projections for regularized transportation problems. Zbl 1319.49073Benamou, Jean-David; Carlier, Guillaume; Cuturi, Marco; Nenna, Luca; Peyré, Gabriel 115 2015 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 113 2015 A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307Fornberg, Bengt; Piret, Cécile 112 2007 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 110 2012 A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194Wang, Hong; Basu, Treena S. 109 2012 The method of regularized stokeslets. Zbl 1064.76080Cortez, Ricardo 109 2001 Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113Shen, Jie 108 1995 A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054John, Volker; Kaya, Songul 106 2005 Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127Bui-Thanh, T.; Willcox, K.; Ghattas, O. 104 2008 Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149Dietrich, C. R.; Newsam, G. N. 104 1997 On the numerical integration of ordinary differential equations by symmetric composition methods. Zbl 0821.65048McLachlan, Robert I. 103 1995 Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113Lubich, Christian; Schädle, Achim 102 2002 Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V. 102 1993 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 102 2015 Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042Zhang, Zhenyue; Zha, Hongyuan 102 2004 An improved spectral graph partitioning algorithm for mapping parallel computations. Zbl 0816.68093Hendrickson, Bruce; Leland, Robert 101 1995 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 101 2012 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 101 2006 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. 100 2004 On the compression of low rank matrices. Zbl 1083.65042Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V. 100 2005 An assessment of nonmonotone linesearch techniques for unconstrained optimization. Zbl 0849.90113Toint, Philippe L. 99 1996 On thermodynamically compatible finite volume schemes for continuum mechanics. Zbl 07556268Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 5 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 07576738Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc 4 2022 Approximation error analysis of some deep backward schemes for nonlinear PDEs. Zbl 1490.65231Germain, Maximilien; Pham, Huyên; Warin, Xavier 3 2022 Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn local binary fitting model. Zbl 07471649Liu, Chaoyu; Qiao, Zhonghua; Zhang, Qian 3 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 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 Computing sensitivities in evolutionary systems: a real-time reduced order modeling strategy. Zbl 1487.37100Donello, Michael; Carpenter, Mark H.; Babaee, Hessam 2 2022 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088Al Daas, Hussam; Ballard, Grey; Benner, Peter 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 Space-time block preconditioning for incompressible flow. Zbl 1482.65042Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J. 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 Preconditioning for a pressure-robust HDG discretization of the Stokes equations. Zbl 1485.65122Rhebergen, Sander; Wells, Garth N. 2 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 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 Two-dimensional Fourier continuation and applications. Zbl 1490.35109Bruno, Oscar P.; Paul, Jagabandhu 2 2022 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 2 2022 Data-driven algorithms for signal processing with trigonometric rational functions. Zbl 07537252Wilber, Heather; Damle, Anil; Townsend, Alex 2 2022 Compact exponential conservative approaches for the Schrödinger equation in the semiclassical regimes. Zbl 07537257Cai, Jiaxiang; Liang, Hua 2 2022 Explicit time stepping for the wave equation using CutFEM with discrete extension. Zbl 1493.65146Burman, Erik; Hansbo, Peter; Larson, Mats G. 2 2022 When do extended physics-informed neural networks (XPINNs) improve generalization? Zbl 1498.65183Hu, Zheyuan; Jagtap, Ameya D.; Karniadakis, George Em; Kawaguchi, Kenji 2 2022 Conservative and accurate solution transfer between high-order and low-order refined finite element spaces. Zbl 1480.65340Kolev, Tzanio; Pazner, Will 1 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 1 2022 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 Generative ensemble regression: Learning particle dynamics from observations of ensembles with physics-informed deep generative models. Zbl 1491.60117Yang, Liu; Daskalakis, Constantinos; Karniadakis, George E. 1 2022 A bandit-learning approach to multifidelity approximation. Zbl 1478.62007Xu, Yiming; Keshavarzzadeh, Vahid; Kirby, Robert M.; Narayan, Akil 1 2022 Multilevel spectral domain decomposition. Zbl 1482.65223Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne 1 2022 Efficient numerical algorithms for the generalized Langevin equation. Zbl 07482209Leimkuhler, Benedict; Sachs, Matthias 1 2022 A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids. Zbl 1489.65142Giuliani, Andrew 1 2022 Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. I: The linear setting. Zbl 1490.65178Southworth, Ben S.; Krzysik, Oliver; Pazner, Will; De Sterck, Hans 1 2022 Second order ADER scheme for unsteady advection-diffusion on moving overset grids with a compact transmission condition. Zbl 1489.65127Bergmann, Michel; Carlino, Michele Giuliano; Iollo, Angelo 1 2022 Semiautomatic task graph construction for \(\mathcal{H}\)-matrix arithmetic. Zbl 1492.65123Börm, Steffen; Christophersen, Sven; Kriemann, Ronald 1 2022 Stochastic learning approach for binary optimization: application to Bayesian optimal design of experiments. Zbl 1493.62460Attia, Ahmed; Leyffer, Sven; Munson, Todd S. 1 2022 Surface finite element approximation of spherical Whittle-Matérn Gaussian random fields. Zbl 07511041Jansson, Erik; Kovács, Mihály; Lang, Annika 1 2022 A decoupling and linearizing discretization for weakly coupled poroelasticity with nonlinear permeability. Zbl 1496.65153Altmann, Robert; Maier, Roland 1 2022 A robust algebraic domain decomposition preconditioner for sparse normal equations. Zbl 1492.65070Al Daas, Hussam; Jolivet, Pierre; Scott, Jennifer A. 1 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 1 2022 Linearization of the travel time functional in porous media flows. 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Zbl 1491.35340Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus 1 2022 High-order close evaluation of Laplace layer potentials: a differential geometric approach. Zbl 1492.65372Zhu, Hai; Veerapaneni, Shravan 1 2022 Monolithic multigrid for a reduced-quadrature discretization of poroelasticity. Zbl 1492.74135Adler, James H.; He, Yunhui; Hu, Xiaozhe; MacLachlan, Scott; Ohm, Peter 1 2022 An efficient multimodes Monte Carlo homogenization method for random materials. Zbl 1492.65334Yang, Zihao; Huang, Jizu; Feng, Xiaobing; Guan, Xiaofei 1 2022 Derivative interpolating subspace frameworks for nonlinear eigenvalue problems. Zbl 1492.65141Aziz, Rifqi; Mengi, Emre; Voigt, Matthias 1 2022 Explicit stabilized multirate method for stiff stochastic differential equations. Zbl 1491.60115Abdulle, Assyr; Rosilho de Souza, Giacomo 1 2022 An operator-splitting method for the Gaussian curvature regularization model with applications to surface smoothing and imaging. 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Zbl 1466.65150Wu, Kailiang; Xing, Yulong 3 2021 ...and 1476 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 39,196 Authors 139 Shu, Chi-Wang 126 Karniadakis, George Em 125 Huang, Ting-Zhu 121 Benner, Peter 115 Dehghan Takht Fooladi, Mehdi 114 Reichel, Lothar 91 He, Yinnian 90 Dumbser, Michael 88 Shen, Jie 87 Wang, Hong 87 Yang, Xiaofeng 84 Huang, Yunqing 84 Qiu, Jianxian 82 Chung, Tsz Shun Eric 78 Nordström, Jan 75 Zhang, Zhimin 73 Hesthaven, Jan S. 71 Quarteroni, Alfio M. 70 Oosterlee, Cornelis Willebrordus 69 Ma, Changfeng 69 Zhang, Guofeng 67 Chen, Yanping 67 Feng, Xinlong 67 Wei, Yimin 66 Ng, Michael Kwok-Po 65 Gander, Martin Jakob 65 Kurganov, Alexander 65 Serra-Capizzano, Stefano 60 Wohlmuth, Barbara I. 60 Ying, Lexing 59 Lin, Guang 59 Rozza, Gianluigi 58 Du, Qiang 58 Jiang, Yaolin 55 Abgrall, Rémi 55 Gunzburger, Max D. 55 Jin, Shi 55 Yuan, Guangwei 54 Ju, Lili 53 Liu, Fawang 53 Simoncini, Valeria 53 Xu, Kun 52 Schwab, Christoph 51 Harbrecht, Helmut 51 Sandu, Adrian 50 Sun, Haiwei 50 Sun, Shuyu 50 Tezduyar, Tayfun E. 50 Vuik, Cornelis 50 Wheeler, Mary Fanett 49 Kressner, Daniel 49 Narayan, Akil C. 49 Wall, Wolfgang A. 48 He, Xiaoming 48 Kirby, Robert M. 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