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.
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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
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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)

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 1014.65004
2002
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
1999
A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129
Karypis, George; Kumar, Vipin
1999
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
1995
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022
1993
Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169
Chaturantabut, Saifon; Sorensen, Danny C.
2010
The MATLAB ODE suite. Zbl 0868.65040
Shampine, Lawrence F.; Reichelt, Mark W.
1997
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
2005
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
2004
Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014
Jiang, Guang-Shan; Peng, Danping
2000
Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097
Shen, Jie
1994
A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077
Xu, Jinchao
1994
Tensor-train decomposition. Zbl 1232.15018
Oseledets, I. V.
2011
The use of the $$L$$-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030
Hansen, Per Christian; O’Leary, Dianne Prost
1993
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
2000
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
2005
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
1998
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
2000
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
1997
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
1996
Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008
Jin, Shi
1999
Iterative methods for total variation denoising. Zbl 0847.65083
Vogel, C. R.; Oman, M. E.
1996
Alternating direction algorithms for $$\ell_1$$-problems in compressive sensing. Zbl 1256.65060
Yang, Junfeng; Zhang, Yin
2011
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
1999
A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214
Fang, F.; Oosterlee, C. W.
2008
Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058
Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E.
2005
Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033
van den Berg, Ewout; Friedlander, Michael P.
2008
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
2001
An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070
1999
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
2005
On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088
Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M.
1997
A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031
Cai, Xiao-Chuan; Sarkis, Marcus
1999
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025
Bao, Weizhu; Du, Qiang
2004
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
2011
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
2007
Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050
Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M.
1993
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028
Knyazev, Andrew V.
2001
Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009
2006
A simple method for compressible multifluid flows. Zbl 0957.76057
Saurel, Richard; Abgrall, Rémi
1999
Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044
Gu, Ming; Eisenstat, Stanley C.
1996
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
2003
A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
2003
Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031
Grote, Marcus J.; Huckle, Thomas
1997
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2013
p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106
Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
2011
A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. Zbl 1410.76464
Shen, Jie; Yang, Xiaofeng
2010
A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052
Penzl, Thilo
2000
Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011
Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I.
2010
Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061
Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric
2002
Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107
Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa
2000
Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089
Levy, Doron; Puppo, Gabriella; Russo, Giovanni
2000
A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022
Freund, Roland W.
1993
A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038
Simoncini, V.
2007
Three-dimensional front tracking. Zbl 0912.65075
Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni
1998
A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187
Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng
2014
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095
1998
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038
Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung
1999
Fast Fourier transforms for nonequispaced data. Zbl 0791.65108
Dutt, A.; Rokhlin, V.
1993
A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110
Zhang, Zhimin; Naga, Ahmed
2005
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2006
Fractional spectral collocation method. Zbl 1294.65097
2014
Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064
Gander, Martin J.; Vandewalle, Stefan
2007
The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436
2008
A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065
Gassner, Gregor J.
2013
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
2006
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315
Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos
2011
Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028
Oseledets, I. V.; Tyrtyshnikov, E. E.
2009
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017
Forsyth, P. A.; Vetzal, K. R.
2002
Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028
Al-Mohy, Awad H.; Higham, Nicholas J.
2011
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027
Benzi, Michele; Tuma, Miroslav
1998
Algorithms for numerical analysis in high dimensions. Zbl 1085.65045
Beylkin, Gregory; Mohlenkamp, Martin J.
2005
Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084
Soize, Christian; Ghanem, Roger
2004
A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307
Fornberg, Bengt; Piret, Cécile
2007
Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113
Shen, Jie
1995
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
1998
A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194
Wang, Hong; Basu, Treena S.
2012
Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089
Liska, Richard; Wendroff, Burton
2003
Iterative Bregman projections for regularized transportation problems. Zbl 1319.49073
Benamou, Jean-David; Carlier, Guillaume; Cuturi, Marco; Nenna, Luca; Peyré, Gabriel
2015
The method of regularized stokeslets. Zbl 1064.76080
Cortez, Ricardo
2001
A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054
John, Volker; Kaya, Songul
2005
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, Kevin; Hale, Nicholas; Kay, David
2012
Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149
Dietrich, C. R.; Newsam, G. N.
1997
On the numerical integration of ordinary differential equations by symmetric composition methods. Zbl 0821.65048
McLachlan, Robert I.
1995
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
2015
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
2008
Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088
Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V.
1993
On the compression of low rank matrices. Zbl 1083.65042
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V.
2005
Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042
Zhang, Zhenyue; Zha, Hongyuan
2004
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
1996
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
2006
Fast convolution for nonreflecting boundary conditions. Zbl 1013.65113
Lubich, Christian; Schädle, Achim
2002
Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057
Elman, Howard C.
1999
Numerical challenges in the use of polynomial chaos representations for stochastic processes. Zbl 1072.60042
Debusschere, Bert J.; Najm, Habib N.; Pébay, Philippe P.; Knio, Omar M.; Ghanem, Roger G.; Le Maître, Olivier P.
2004
Entropy stable spectral collocation schemes for the Navier-Stokes equations: discontinuous interfaces. Zbl 1457.65140
Carpenter, Mark H.; Fisher, Travis C.; Nielsen, Eric J.; Frankel, Steven H.
2014
An assessment of nonmonotone linesearch techniques for unconstrained optimization. Zbl 0849.90113
Toint, Philippe L.
1996
PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis. Zbl 1481.65009
Zhang, Hong; Constantinescu, Emil M.; Smith, Barry F.
2022
Computing sensitivities in evolutionary systems: a real-time reduced order modeling strategy. Zbl 07459364
Donello, Michael; Carpenter, Mark H.; Babaee, Hessam
2022
Space-time block preconditioning for incompressible flow. Zbl 1482.65042
Danieli, Federico; Southworth, Ben S.; Wathen, Andrew J.
2022
Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. I: The linear setting. Zbl 07482211
Southworth, Ben S.; Krzysik, Oliver; Pazner, Will; De Sterck, Hans
2022
Understanding and mitigating gradient flow pathologies in physics-informed neural networks. Zbl 07395804
Wang, Sifan; Teng, Yujun; Perdikaris, Paris
2021
On a novel fully decoupled, second-order accurate energy stable numerical scheme for a binary fluid-surfactant phase-field model. Zbl 1478.65100
Yang, Xiaofeng
2021
Adaptive deep learning for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1467.49028
Nakamura-Zimmerer, Tenavi; Gong, Qi; Kang, Wei
2021
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. Zbl 1468.65119
Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
2021
Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041
Benner, Peter; Goyal, Pawan
2021
An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre
2021
Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2021
Butterfly factorization via randomized matrix-vector multiplications. Zbl 1462.65044
Liu, Yang; Xing, Xin; Guo, Han; Michielssen, Eric; Ghysels, Pieter; Li, Xiaoye Sherry
2021
Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. Zbl 1467.65023
Higham, Nicholas J.; Pranesh, Srikara
2021
Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1471.65184
Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K.
2021
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 07364334
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong
2021
A multilevel Schwarz preconditioner based on a hierarchy of robust coarse spaces. Zbl 07364342
Al Daas, Hussam; Grigori, Laura; Jolivet, Pierre; Tournier, Pierre-Henri
2021
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 07379630
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2021
An all-At-once preconditioner for evolutionary partial differential equations. Zbl 07379636
Lin, Xue-lei; Ng, Michael
2021
High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension. Zbl 07378158
Fu, Pei; Kreiss, Gunilla
2021
Score-based parameter estimation for a class of continuous-time state space models. Zbl 07378169
Beskos, Alexandros; Crisan, Dan; Jasra, Ajay; Kantas, Nikolas; Ruzayqat, Hamza
2021
The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 1473.65331
Mirzaei, Davoud
2021
The aggregated unfitted finite element method on parallel tree-based adaptive meshes. Zbl 1472.65141
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc
2021
Sparse Cholesky factorization by Kullback-Leibler minimization. Zbl 07364386
Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman
2021
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. Zbl 1483.65065
Bai, Zhong-Zhi; Wu, Wen-Ting
2021
Algorithms for the rational approximation of matrix-valued functions. Zbl 07395803
Gosea, Ion Victor; Güttel, Stefan
2021
Deep splitting method for parabolic PDEs. Zbl 07395807
Beck, Christian; Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Neufeld, Ariel
2021
Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation. Zbl 1482.65142
Hou, Dianming; Xu, Chuanju
2021
Communication lower bounds of bilinear algorithms for symmetric tensor contractions. Zbl 07411922
Solomonik, Edgar; Demmel, James; Hoefler, Torsten
2021
A new block preconditioner for implicit Runge-Kutta methods for parabolic PDE problems. Zbl 07418116
Rana, Md. Masud; Howle, Victoria E.; Long, Katharine; Meek, Ashley; Milestone, William
2021
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. Zbl 1481.65142
Liao, Hong-Lin; Tang, Tao; Zhou, Tao
2021
Optimal and low-memory near-optimal preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs. Zbl 07418132
Jiao, Xiangmin; Wang, Xuebin; Chen, Qiao
2021
Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. Zbl 1456.49038
Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin
2021
A random batch Ewald method for particle systems with Coulomb interactions. Zbl 07379627
Jin, Shi; Li, Lei; Xu, Zhenli; Zhao, Yue
2021
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628
Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo
2021
Stabilized scalar auxiliary variable ensemble algorithms for parameterized flow problems. Zbl 07385002
Jiang, Nan; Yang, Huanhuan
2021
Adaptive Hamiltonian variational integrators and applications to symplectic accelerated optimization. Zbl 1483.37099
Duruisseaux, Valentin; Schmitt, Jeremy; Leok, Melvin
2021
Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris; Kweyu, Cleophas; Stein, Matthias
2021
Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2021
Computing edge states without hard truncation. Zbl 1468.65113
Thicke, Kyle; Watson, Alexander B.; Lu, Jianfeng
2021
Robust alternating direction implicit solver in quantized tensor formats for a three-dimensional elliptic PDE. Zbl 1465.65122
Rakhuba, M.
2021
Hyperbolicity-preserving and well-balanced stochastic Galerkin method for shallow water equations. Zbl 1471.65114
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil
2021
FLUPS: a Fourier-based library of unbounded Poisson solvers. Zbl 1464.35063
Caprace, Denis-Gabriel; Gillis, Thomas; Chatelain, Philippe
2021
Fast variable density 3-D node generation. Zbl 1468.65214
van der Sande, Kiera; Fornberg, Bengt
2021
Overlapping multipatch isogeometric method with minimal stabilization. Zbl 1475.65185
Antolin, Pablo; Buffa, Annalisa; Puppi, Riccardo; Wei, Xiaodong
2021
A conservative fully discrete numerical method for the regularized shallow water wave equations. Zbl 1468.65146
Mitsotakis, Dimitrios; Ranocha, Hendrik; Ketcheson, David I.; Süli, Endre
2021
A parallel cyclic reduction algorithm for pentadiagonal systems with application to a convection-dominated Heston PDE. Zbl 07364306
Ghosh, Abhijit; Mishra, Chittaranjan
2021
Numerical approximation of the displacement formulation of the axisymmetric acoustic vibration problem. Zbl 1479.65022
Querales, José; Rodríguez, Rodolfo; Venegas, Pablo
2021
Data-driven learning of nonautonomous systems. Zbl 07364312
Qin, Tong; Chen, Zhen; Jakeman, John D.; Xiu, Dongbin
2021
A multifidelity ensemble Kalman filter with reduced order control variates. Zbl 1467.62153
Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian
2021
Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: applications to Keller-Segel and Poisson-Nernst-Planck equations. Zbl 07364339
Huang, Fukeng; Shen, Jie
2021
A continuous perspective on shape optimization via domain transformations. Zbl 1469.35252
Haubner, J.; Siebenborn, M.; Ulbrich, M.
2021
Implicit-explicit multirate infinitesimal GARK methods. Zbl 07395805
Chinomona, Rujeko; Reynolds, Daniel R.
2021
Combining machine learning and adaptive coarse spaces-a hybrid approach for robust FETI-DP methods in three dimensions. Zbl 1476.65326
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2021
An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime. Zbl 07398764
Einkemmer, Lukas; Hu, Jingwei; Ying, Lexing
2021
Efficient scaling and moving techniques for spectral methods in unbounded domains. Zbl 07398768
Xia, Mingtao; Shao, Sihong; Chou, Tom
2021
Chronos: a general purpose classical AMG solver for high performance computing. Zbl 07411920
Isotton, Giovanni; Frigo, Matteo; Spiezia, Nicolò; Janna, Carlo
2021
AIR algebraic multigrid for a space-time hybridizable discontinuous Galerkin discretization of advection(-diffusion). Zbl 07411925
Sivas, A. A.; Southworth, B. S.; Rhebergen, S.
2021
$$l_p$$ regularization for ensemble Kalman inversion. Zbl 07411926
Lee, Yoonsang
2021
A time-domain preconditioner for the Helmholtz equation. Zbl 07411928
Stolk, Christiaan C.
2021
Iteratively reweighted FGMRES and FLSQR for sparse reconstruction. Zbl 07418099
Gazzola, Silvia; Nagy, James G.; Sabaté Landman, Malena
2021
Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation. Zbl 07418115
Chu, Moody T.; Lin, Matthew M.
2021
PNKH-B: a projected Newton-Krylov method for large-scale bound-constrained optimization. Zbl 07418126
Kan, Kelvin; Fung, Samy Wu; Ruthotto, Lars
2021
A nonmonotone matrix-free algorithm for nonlinear equality-constrained least-squares problems. Zbl 07418128
Bergou, El Houcine; Diouane, Youssef; Kungurtsev, Vyacheslav; Royer, Clément W.
2021
Robust and effective eSIF preconditioning for general dense SPD matrices. Zbl 07418129
Xia, Jianlin
2021
AMFR-W numerical methods for solving high-dimensional SABR/LIBOR PDE models. Zbl 1456.65073
López-Salas, J. G.; Pérez-Rodríguez, S.; Vázquez, C.
2021
Extensions of the augmented block Cimmino method to the solution of full rank rectangular systems. Zbl 1470.05101
Dumitrasc, Andrei; Leleux, Philippe; Popa, Constantin; Ruede, Ulrich; Ruiz, Daniel
2021
Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 07379629
Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E.
2021
Rational spectral filters with optimal convergence rate. Zbl 07379632
Kollnig, Konrad; Bientinesi, Paolo; Di Napoli, Edoardo A.
2021
A structure-exploiting nested Lanczos-type iteration for the multiview canonical correlation analysis. Zbl 07379633
Zhang, Lei-Hong; Ma, Xijun; Shen, Chungen
2021
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634
Langer, Ulrich; Zank, Marco
2021
Frequency-stable full Maxwell in electro-quasistatic gauge. Zbl 1479.35853
Ostrowski, Jörg; Hiptmair, Ralf
2021
Algebraic error analysis for mixed-precision multigrid solvers. Zbl 07378148
McCormick, Stephen F.; Benzaken, Joseph; Tamstorf, Rasmus
2021
Discretization-error-accurate mixed-precision multigrid solvers. Zbl 07378149
Tamstorf, Rasmus; Benzaken, Joseph; McCormick, Stephen F.
2021
Solving inverse stochastic problems from discrete particle observations using the Fokker-Planck equation and physics-informed neural networks. Zbl 1480.35377
Chen, Xiaoli; Yang, Liu; Duan, Jinqiao; Karniadakis, George Em
2021
Virtual elements for the transmission eigenvalue problem on polytopal meshes. Zbl 07378164
Mora, David; Velásquez, Iván
2021
Polynomial preconditioned Arnoldi with stability control. Zbl 1464.65035
Embree, Mark; Loe, Jennifer A.; Morgan, Ronald
2021
Laplacian smoothing stochastic gradient Markov chain Monte Carlo. Zbl 1464.65007
Wang, Bao; Zou, Difan; Gu, Quanquan; Osher, Stanley J.
2021
Normalized gradient flow with Lagrange multiplier for computing ground states of Bose-Einstein condensates. Zbl 1461.35198
Liu, Wei; Cai, Yongyong
2021
Preconditioning the mass matrix for high order finite element approximation on tetrahedra. Zbl 1466.65174
Ainsworth, Mark; Jiang, Shuai
2021
Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. Zbl 1466.65150
Wu, Kailiang; Xing, Yulong
2021
Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. Zbl 1469.65156
Gu, Haotian; Xin, Jack; Zhang, Zhiwen
2021
Newton hard-thresholding pursuit for sparse linear complementarity problem via a new merit function. Zbl 1462.90144
Zhou, Shenglong; Shang, Meijuan; Pan, Lili; Li, Mu
2021
Qualitative indicator functions for imaging crack networks using acoustic waves. Zbl 1461.35222
Audibert, L.; Chesnel, L.; Haddar, H.; Napal, K.
2021
An iterative least-squares method for generated Jacobian equations in freeform optical design. Zbl 1465.78001
Romijn, L. B.; ten Thije Boonkkamp, J. H. M.; Anthonissen, M. J. H.; Jzerman, W. L.
2021
High-order well-balanced finite-volume schemes for hydrodynamic equations with nonlocal free energy. Zbl 1469.65138
Carrillo, José A.; Castro, Manuel J.; Kalliadasis, Serafim; Perez, Sergio P.
2021
Analysis of adaptive two-grid finite element algorithms for linear and nonlinear problems. Zbl 1475.65214
Li, Yukun; Zhang, Yi
2021
A conservative finite element ALE scheme for mass-conservative reaction-diffusion equations on evolving two-dimensional domains. Zbl 1472.65124
Mackenzie, John; Rowlatt, Christopher; Insall, Robert
2021
Closed form dispersion corrections including a real shifted wavenumber for finite difference discretizations of 2D constant coefficient Helmholtz problems. Zbl 1464.35064
Cocquet, Pierre-Henri; Gander, Martin J.; Xiang, Xueshuang
2021
Variational Bayes’ method for functions with applications to some inverse problems. Zbl 1467.62045
Jia, Junxiong; Zhao, Qian; Xu, Zongben; Meng, Deyu; Leung, Yee
2021
A unified meshfree pseudospectral method for solving both classical and fractional PDEs. Zbl 1471.65207
Burkardt, John; Wu, Yixuan; Zhang, Yanzhi
2021
A least squares radial basis function finite difference method with improved stability properties. Zbl 1472.65153
Tominec, Igor; Larsson, Elisabeth; Heryudono, Alfa
2021
Hybrid projection methods with recycling for inverse problems. Zbl 07364303
Jiang, Jiahua; Chung, Julianne; de Sturler, Eric
2021
Discontinuous Galerkin Galerkin differences for the wave equation in second-order form. Zbl 1482.65178
Banks, J. W.; Buckner, B. Brett; Hagstrom, T.; Juhnke, K.
2021
A unified structure preserving scheme for a multispecies model with a gradient flow structure and nonlocal interactions via singular kernels. Zbl 1469.65142
Zhang, Yong; Zhao, Yu; Zhou, Zhennan
2021
Stein variational reduced basis Bayesian inversion. Zbl 1467.62042
Chen, Peng; Ghattas, Omar
2021
Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement. Zbl 07364321
Peng, Zhichao; Li, Fengyan
2021
A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. Zbl 1483.65130
Cakir, Firat; Christlieb, Andrew; Jiang, Yan
2021
A Fokker-Planck approach to the reconstruction of a cell membrane potential. Zbl 1467.49029
Annunziato, Mario; Borzì, Alfio
2021
Exponential polynomial block methods. Zbl 07364331
Buvoli, Tommaso
2021
Rounding error analysis of mixed precision block Householder QR algorithms. Zbl 07364332
Yang, L. Minah; Fox, Alyson; Sanders, Geoffrey
2021
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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. M. 41 Sun, Haiwei 40 Burman, Erik 40 Efendiev, Yalchin R. 40 Gassner, Gregor J. 40 Huang, Chengming 40 Li, Ruo 39 Bürger, Raimund 39 Gaspar, Francisco José 39 Jbilou, Khalide 39 Liu, Tiegang 39 Mei, Liquan 39 Oseledets, Ivan V. 39 Osher, Stanley Joel 39 Ostermann, Alexander 39 Rebholz, Leo G. 39 Takizawa, Kenji 39 Vassilevski, Panayot Spirov 38 Farhat, Charbel H. 38 Huang, Weizhang 38 Klawonn, Axel 38 Maday, Yvon 38 Pareschi, Lorenzo ...and 36,425 more Authors
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Cited in 853 Journals

 4,579 Journal of Computational Physics 1,988 Journal of Computational and Applied Mathematics 1,615 Computer Methods in Applied Mechanics and Engineering 1,577 Journal of Scientific Computing 1,444 SIAM Journal on Scientific Computing 1,233 Applied Mathematics and Computation 1,173 Applied Numerical Mathematics 1,171 Computers & Mathematics with Applications 788 Computers and Fluids 684 Numerical Algorithms 552 Numerische Mathematik 485 Mathematics of Computation 464 Linear Algebra and its Applications 428 International Journal of Computer Mathematics 412 SIAM Journal on Numerical Analysis 410 International Journal for Numerical Methods in Engineering 398 BIT 358 Advances in Computational Mathematics 327 Communications in Computational Physics 317 Numerical Linear Algebra with Applications 302 Journal of Fluid Mechanics 299 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 273 SIAM Journal on Matrix Analysis and Applications 263 Mathematics and Computers in Simulation 261 Applied Mathematical Modelling 260 Computational Mechanics 250 Engineering Analysis with Boundary Elements 247 Computational Geosciences 238 Numerical Methods for Partial Differential Equations 236 Computational Optimization and Applications 230 Inverse Problems 224 Applied Mathematics Letters 223 International Journal for Numerical Methods in Fluids 211 Computational and Applied Mathematics 197 Mathematical Problems in Engineering 192 SIAM/ASA Journal on Uncertainty Quantification 191 Journal of Mathematical Analysis and Applications 189 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 175 Applied and Computational Harmonic Analysis 158 Multiscale Modeling & Simulation 158 SIAM Journal on Imaging Sciences 150 Journal of Mathematical Imaging and Vision 143 Optimization Methods & Software 143 Advances in Applied Mathematics and Mechanics 138 Physica D 137 Calcolo 128 SIAM Journal on Optimization 121 Communications in Nonlinear Science and Numerical Simulation 119 Computer Physics Communications 119 Inverse Problems in Science and Engineering 118 Journal of Optimization Theory and Applications 111 East Asian Journal on Applied Mathematics 107 Mathematical Programming. Series A. Series B 103 Computing 102 Mathematical Methods in the Applied Sciences 98 Computational Methods in Applied Mathematics 97 Journal of Global Optimization 96 Mathematical and Computer Modelling 93 SIAM Journal on Applied Mathematics 92 Physics of Fluids 91 International Journal of Computational Fluid Dynamics 89 Japan Journal of Industrial and Applied Mathematics 88 Journal of Applied Mathematics and Computing 86 Applicable Analysis 86 Automatica 85 Inverse Problems and Imaging 84 Abstract and Applied Analysis 82 Computational Statistics and Data Analysis 79 Foundations of Computational Mathematics 79 International Journal of Computational Methods 77 Computing and Visualization in Science 76 Numerical Functional Analysis and Optimization 75 Science China. Mathematics 72 Comptes Rendus. Mathématique. Académie des Sciences, Paris 71 Wave Motion 70 Archives of Computational Methods in Engineering 69 Bulletin of Mathematical Biology 69 SIAM Review 68 Chaos 67 European Journal of Operational Research 67 ETNA. Electronic Transactions on Numerical Analysis 66 Advances in Difference Equations 65 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 65 Journal of Numerical Mathematics 64 Chaos, Solitons and Fractals 64 Statistics and Computing 63 Journal of Applied Mathematics 62 Quantitative Finance 62 Discrete and Continuous Dynamical Systems. Series B 61 Journal of Engineering Mathematics 60 International Journal of Numerical Analysis and Modeling 59 The Annals of Statistics 57 Journal of Complexity 57 Communications on Applied Mathematics and Computation 56 Journal of the Franklin Institute 56 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 55 SIAM Journal on Applied Dynamical Systems 54 Journal of Differential Equations 54 Communications in Numerical Methods in Engineering 53 Journal of Theoretical Biology ...and 753 more Journals
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