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SIAM Journal on Numerical Analysis

Short Title: SIAM J. Numer. Anal.
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
ISSN: 0036-1429; 1095-7170/e
Online: http://epubs.siam.org/loi/sjnaam
Predecessor: Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
Comments: Indexed cover-to-cover
Documents Indexed: 5,824 Publications (since 1966)
References Indexed: 984 Publications with 34,410 References.
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Latest Issues

60, No. 5 (2022)
60, No. 4 (2022)
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...and 139 more Volumes
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Authors

38 Carstensen, Carsten
37 Manteuffel, Thomas A.
37 Wheeler, Mary Fanett
36 Babuška, Ivo
34 Du, Qiang
31 Cockburn, Bernardo
30 Shu, Chi-Wang
29 Cai, Zhiqiang
29 McCormick, Steve Fahrney
29 Nochetto, Ricardo Horacio
25 Shen, Jie
25 Sloan, Ian Hugh
24 Gunzburger, Max D.
23 Schwab, Christoph
23 Süli, Endre E.
22 Ainsworth, Mark
22 Ewing, Richard Edward
22 Sun, Weiwei
21 Li, Buyang
20 Rheinboldt, Werner C.
20 Widlund, Olof B.
19 Bartels, Sören
19 Guermond, Jean-Luc
19 Osher, Stanley Joel
19 Starke, Gerhard
19 Tadmor, Eitan
18 Burman, Erik
18 Wohlmuth, Barbara I.
17 Bank, Randolph E.
17 Feng, Xiaobing
17 Kelley, Carl T.
17 Layton, William J.
17 Parter, Seymour V.
17 Russell, Robert D.
17 Schumaker, Larry L.
17 Wang, Junping
16 Durán, Ricardo G.
16 Fairweather, Graeme
16 Lazarov, Raytcho D.
16 Maday, Yvon
16 Quarteroni, Alfio M.
16 Walkington, Noel J.
15 Arbogast, Todd
15 Bernardi, Christine
15 Prohl, Andreas
15 Thomée, Vidar
15 Zhang, Zhimin
14 Atkinson, Kendall Eugene
14 Barrett, John William
14 Beirão da Veiga, Lourenço
14 Brunner, Hermann
14 Dahmen, Wolfgang A.
14 Dawson, Clint N.
14 Ern, Alexandre
14 Gottlieb, David I.
14 Kreiss, Heinz-Otto
14 Liu, Steve Wenbin
14 Lubich, Christian
14 Reusken, Arnold
14 Stroud, Arthur H.
14 Tang, Tao
14 Xu, Jinchao
13 Bialecki, Bernard
13 Conn, Andrew Roger
13 Demkowicz, Leszek F.
13 Dupont, Todd F.
13 Graham, Ivan G.
13 Johnson, Claes G. L.
13 Lin, Yanping
13 Makridakis, Charalambos G.
13 Nicolaides, Roy A.
13 Schötzau, Dominik
13 Yotov, Ivan
12 Ascher, Uri M.
12 Bochev, Pavel B.
12 Brenner, Susanne Cecelia
12 Burrage, Kevin
12 Chan, Tony Fan-Cheong
12 Demlow, Alan
12 Falk, Richard S.
12 Gander, Martin Jakob
12 Gopalakrishnan, Jayadeep
12 Joly, Patrick
12 Luskin, Mitchell
12 Ma, Heping
12 Petzold, Linda Ruth
12 Sauter, Stefan A.
12 Stuart, Andrew M.
12 Trefethen, Lloyd Nicholas
11 Bao, Weizhu
11 Bramble, James H.
11 Dick, Josef
11 Dryja, Maksymilian
11 Gatica, Gabriel N.
11 Guo, Benqi
11 Heuer, Norbert
11 Hiptmair, Ralf
11 Hong, Jialin
11 Jin, Shi
11 Keller, Herbert Bishop
...and 5,056 more Authors
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Fields

5,238 Numerical analysis (65-XX)
2,296 Partial differential equations (35-XX)
747 Fluid mechanics (76-XX)
449 Approximations and expansions (41-XX)
444 Ordinary differential equations (34-XX)
255 Mechanics of deformable solids (74-XX)
247 Integral equations (45-XX)
247 Calculus of variations and optimal control; optimization (49-XX)
206 Probability theory and stochastic processes (60-XX)
173 Operations research, mathematical programming (90-XX)
165 Optics, electromagnetic theory (78-XX)
158 Operator theory (47-XX)
141 Statistical mechanics, structure of matter (82-XX)
133 Linear and multilinear algebra; matrix theory (15-XX)
103 Dynamical systems and ergodic theory (37-XX)
85 Computer science (68-XX)
76 Harmonic analysis on Euclidean spaces (42-XX)
62 Functional analysis (46-XX)
59 Biology and other natural sciences (92-XX)
55 Systems theory; control (93-XX)
54 Functions of a complex variable (30-XX)
49 Real functions (26-XX)
47 Statistics (62-XX)
46 Special functions (33-XX)
41 Global analysis, analysis on manifolds (58-XX)
40 Quantum theory (81-XX)
40 Geophysics (86-XX)
39 Information and communication theory, circuits (94-XX)
36 Potential theory (31-XX)
36 Classical thermodynamics, heat transfer (80-XX)
35 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Mechanics of particles and systems (70-XX)
28 Integral transforms, operational calculus (44-XX)
23 Number theory (11-XX)
21 Differential geometry (53-XX)
16 Difference and functional equations (39-XX)
13 Combinatorics (05-XX)
13 Sequences, series, summability (40-XX)
10 Astronomy and astrophysics (85-XX)
9 Field theory and polynomials (12-XX)
8 Algebraic geometry (14-XX)
5 Commutative algebra (13-XX)
5 Convex and discrete geometry (52-XX)
5 Relativity and gravitational theory (83-XX)
4 Algebraic topology (55-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Measure and integration (28-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

5,456 Publications have been cited 131,371 times in 64,677 Documents Cited by Year
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118
Cockburn, Bernardo; Shu, Chi-Wang
909
1998
On the construction and comparison of difference schemes. Zbl 0184.38503
Strang, Gilbert
811
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
668
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
630
1982
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
590
1994
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
583
1984
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
506
1996
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
504
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
488
1986
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
477
2009
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
459
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
436
1975
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051
Douglas, Jim jun.; Russell, Thomas F.
417
1982
Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. Zbl 0487.76035
Heywood, John G.; Rannacher, Rolf
399
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
385
1995
Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014
Heywood, John G.; Rannacher, Rolf
365
1990
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
363
2007
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
361
2009
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
347
1996
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
335
2004
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
335
1978
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
312
2008
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
294
2002
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
293
1970
Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. Zbl 1362.65089
Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis
292
2017
An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. Zbl 1119.65379
Yuste, S. B.; Acedo, L.
287
2005
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
287
1987
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
286
1976
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
267
2009
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
266
1996
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
259
1996
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
254
1983
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
252
1991
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
252
2012
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
252
2003
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
249
1997
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
248
2009
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
234
1994
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
232
2008
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
230
2002
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
228
2000
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
225
1973
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
222
1992
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
220
1977
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
Ladeveze, P.; Leguillon, D.
219
1983
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
217
2003
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
216
1972
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
216
1987
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
215
2002
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
212
2008
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
212
2006
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
212
2002
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
210
1980
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, S. M.; Wang, Cheng; Lowengrub, J. S.
207
2009
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
206
1991
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
206
1988
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
205
1970
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
204
1973
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
203
1997
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
203
2013
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
198
1973
Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114
Babuška, Ivo; Caloz, Gabriel; Osborn, John E.
197
1994
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
191
2000
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
190
1992
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
189
1968
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
186
2003
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
185
2014
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
185
1983
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
184
2000
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007
Nobile, F.; Tempone, R.; Webster, C. G.
184
2008
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
182
1976
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
182
2000
A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette
182
2001
Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088
Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
182
2012
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
181
2002
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
180
1973
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
179
1996
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.
175
1972
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
175
1987
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
173
1985
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
173
2005
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
171
2002
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
171
1980
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
170
1973
The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404
Atkinson, K. E.
168
1967
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
168
1997
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
167
2005
The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058
Mathon, Rudolf; Johnston, R. L.
167
1977
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
166
1998
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
166
2006
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
163
1966
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
162
2006
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel
161
1992
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
159
2003
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
158
2013
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803
Bramble, J. H.; Hilbert, S. R.
158
1970
Optimized Schwarz methods. Zbl 1117.65165
Gander, Martin J.
157
2006
Sticky particles and scalar conservation laws. Zbl 0924.35080
Brenier, Yann; Grenier, Emmanuel
155
1998
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. Zbl 0724.65067
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
154
1991
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. Zbl 07498291
Li, Buyang; Ma, Shu
2
2022
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. Zbl 07516278
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M.
2
2022
Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. Zbl 07463749
Otárola, Enrique
1
2022
A discrete velocity numerical scheme for the two-dimensional bitemperature Euler system. Zbl 1482.65158
Aregba-Driollet, Denise; Brull, Stéphane; Prigent, Corentin
1
2022
Locking-free enriched Galerkin method for linear elasticity. Zbl 1483.65195
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil
1
2022
Convergence analysis of inexact two-grid methods: a theoretical framework. Zbl 1481.65049
Xu, Xuefeng; Zhang, Chen-Song
1
2022
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 07506904
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo
1
2022
Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to nonrelativistic limit regime. Zbl 07516282
Calvo, María Cabrera; Schratz, Katharina
1
2022
An embedded exponential-type low-regularity integrator for mKdV equation. Zbl 07534667
Ning, Cui; Wu, Yifei; Zhao, Xiaofei
1
2022
A convergent interacting particle method and computation of KPP front speeds in chaotic flows. Zbl 07538279
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2022
Flux-mortar mixed finite element methods on nonmatching grids. Zbl 07538281
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan
1
2022
Sharper error estimates for virtual elements and a bubble-enriched version. Zbl 07565248
Beirão da Veiga, L.; Vacca, G.
1
2022
Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. Zbl 07572362
Chen, Long; Huang, Xuehai
1
2022
On convergence of numerical solutions for the compressible MHD system with exactly divergence-free magnetic field. Zbl 07572371
Li, Yang; She, Bangwei
1
2022
Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games. I: The ergodic case. Zbl 1479.65013
Carmona, René; Laurière, Mathieu
12
2021
Deep neural networks algorithms for stochastic control problems on finite horizon: convergence analysis. Zbl 1466.65007
Huré, Côme; Pham, Huyên; Bachouch, Achref; Langrené, Nicolas
11
2021
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254
Feng, Xiaobing; Li, Buyang; Ma, Shu
10
2021
Convergence of the random batch method for interacting particles with disparate species and weights. Zbl 1466.65011
Jin, Shi; Li, Lei; Liu, Jian-Guo
9
2021
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. Zbl 07383913
Wang, Bin; Zhao, Xiaofei
9
2021
Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1456.65172
Zhao, Lina; Chung, Eric T.; Park, Eun-Jae; Zhou, Guanyu
7
2021
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. Zbl 1456.82636
Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T.
7
2021
Discovery of dynamics using linear multistep methods. Zbl 1466.65050
Keller, Rachael T.; Du, Qiang
7
2021
Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 1486.65237
Wormell, Caroline L.; Reich, Sebastian
7
2021
A general framework of low regularity integrators. Zbl 1486.65127
Rousset, Frédéric; Schratz, Katharina
7
2021
Solving parabolic moving interface problems with dynamical immersed spaces on unfitted meshes: fully discrete analysis. Zbl 1466.65134
Guo, Ruchi
6
2021
Error estimates for the optimal control of a parabolic fractional PDE. Zbl 1464.49001
Glusa, Christian; Otárola, Enrique
6
2021
Computational methods for first-order nonlocal mean field games with applications. Zbl 1477.35276
Liu, Siting; Jacobs, Matthew; Li, Wuchen; Nurbekyan, Levon; Osher, Stanley J.
6
2021
A structure-preserving parametric finite element method for surface diffusion. Zbl 1489.65136
Bao, Weizhu; Zhao, Quan
6
2021
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628
Mishra, Siddhartha; Rusch, T. Konstantin
5
2021
On the Sobolev and \(L^p\)-stability of the \(L^2\)-projection. Zbl 1477.65207
Diening, Lars; Storn, Johannes; Tscherpel, Tabea
5
2021
An artificial compressibility Crank-Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations. Zbl 1467.65084
Jiang, Nan; Li, Ying; Yang, Huanhuan
4
2021
A high-order approach to elliptic multiscale problems with general unstructured coefficients. Zbl 1468.65201
Maier, Roland
4
2021
The energy technique for the six-step BDF method. Zbl 1483.65153
Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi
4
2021
A pressure-robust discretization of Oseen’s equation using stabilization in the vorticity equation. Zbl 1477.65185
Ahmed, Naveed; Barrenechea, Gabriel R.; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian
4
2021
Modeling and analysis of the coupling in discrete fracture matrix models. Zbl 1473.65338
Gander, Martin J.; Hennicker, Julian; Masson, Roland
3
2021
An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345
Metzger, Stefan
3
2021
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo
3
2021
Hybrid localized spectral decomposition for multiscale problems. Zbl 1468.65221
Madureira, Alexandre L.; Sarkis, Marcus
3
2021
A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174
Feng, Xiaobing; Lewis, Thomas
3
2021
Carleman-based reconstruction algorithm for waves. Zbl 1461.93213
Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel
3
2021
An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws. Zbl 1467.65095
Lu, Jianfang; Liu, Yong; Shu, Chi-Wang
3
2021
On discrete shape gradients of boundary type for PDE-constrained shape optimization. Zbl 1466.49035
Gong, Wei; Zhu, Shengfeng
3
2021
The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070
Sanz Serna, J. M.; Zygalakis, K. C.
3
2021
Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. Zbl 1479.65008
Li, Buyang
3
2021
Approximation of high-dimensional periodic functions with Fourier-based methods. Zbl 1476.65022
Potts, Daniel; Schmischke, Michael
3
2021
Stability and error analysis of a class of high-order IMEX schemes for Navier-Stokes equations with periodic boundary conditions. Zbl 07453432
Huang, Fukeng; Shen, Jie
3
2021
Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112
Georgoulis, Emmanuil H.
2
2021
Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. Zbl 1456.65057
Akrivis, Georgios; Li, Buyang; Wang, Jilu
2
2021
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. Zbl 1461.35184
Novo, Julia; Rubino, Samuele
2
2021
A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. Zbl 1462.35235
Hu, Jingwei; Qi, Kunlun; Yang, Tong
2
2021
A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel
2
2021
Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong
2
2021
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. Zbl 1467.65107
Carstensen, Carsten; Nataraj, Neela
2
2021
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. Zbl 1468.65147
Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan
2
2021
Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic regime without magnetic potential. Zbl 1462.35318
Bao, Weizhu; Cai, Yongyong; Yin, Jia
2
2021
Mass conserving mixed \(hp\)-FEM approximations to Stokes flow. I: Uniform stability. Zbl 1465.76049
Ainsworth, Mark; Parker, Charles
2
2021
Mass conserving mixed \(hp\)-FEM approximations to Stokes flow. II: Optimal convergence. Zbl 1465.76050
Ainsworth, Mark; Parker, Charles
2
2021
Unstabilized hybrid high-order method for a class of degenerate convex minimization problems. Zbl 1473.65292
Carstensen, Carsten; Tran, Tien
2
2021
Piecewise divergence-free nonconforming virtual elements for Stokes problem in any dimensions. Zbl 1468.76054
Wei, Huayi; Huang, Xuehai; Li, Ao
2
2021
Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 1471.60094
Banjai, Lehel; Lord, Gabriel; Molla, Jeta
2
2021
Positivity of discrete time-fractional operators with applications to phase-field equations. Zbl 07383911
Karaa, Samir
2
2021
Analysis of radial complex scaling methods: scalar resonance problems. Zbl 1477.65215
Halla, Martin
2
2021
Space-time approximation of stochastic \(p\)-Laplace-type systems. Zbl 07383918
Breit, Dominic; Hofmanová, Martina; Loisel, Sébastien
2
2021
Finite element approximation of the modified Maxwell’s Stekloff eigenvalues. Zbl 1479.35305
Gong, Bo; Sun, Jiguang; Wu, Xinming
2
2021
Reciprocal-log approximation and planar PDE solvers. Zbl 1482.65220
Nakatsukasa, Yuji; Trefethen, Lloyd N.
2
2021
Asymptotically-preserving large deviations principles by stochastic symplectic methods for a linear stochastic oscillator. Zbl 1466.60055
Chen, Chuchu; Hong, Jialing; Jin, Diancong; Sun, Liying
1
2021
Error analysis of finite element approximations of diffusion coefficient identification for elliptic and parabolic problems. Zbl 1459.65175
Jin, Bangti; Zhou, Zhi
1
2021
Improving accuracy of the fifth-order WENO scheme by using the exponential approximation space. Zbl 1461.65228
Ha, Youngsoo; Kim, Chang Ho; Yang, Hyoseon; Yoon, Jungho
1
2021
A posteriori error analysis of the inf-sup constant for the divergence. Zbl 1456.65145
Gallistl, Dietmar
1
2021
Time integration of tree tensor networks. Zbl 1461.65203
Ceruti, Gianluca; Lubich, Christian; Walach, Hanna
1
2021
A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions. Zbl 1466.65196
Lederer, Philip L.
1
2021
Distributed filtered hyperinterpolation for noisy data on the sphere. Zbl 1484.65025
Lin, Shao-bo; Wang, Yu Guang; Zhou, Ding-Xuan
1
2021
Adaptive mixed finite element methods for non-self-adjoint indefinite second-order elliptic PDEs with optimal rates. Zbl 1468.65185
Carstensen, Carsten; Ma, Rui
1
2021
Divergence-free Scott-Vogelius elements on curved domains. Zbl 1468.65203
Neilan, Michael; Otus, Baris
1
2021
A mixed approach to the Poisson problem with line sources. Zbl 1466.35093
Gjerde, Ingeborg G.; Kumar, Kundan; Nordbotten, Jan M.
1
2021
Low-rank updates of matrix functions. II: Rational Krylov methods. Zbl 1469.65086
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel
1
2021
Error analysis of energy-preserving mixed finite element methods for the Hodge wave equation. Zbl 1476.65257
Wu, Yongke; Bai, Yanhong
1
2021
Optimal error analysis of Euler and Crank-Nicolson projection finite difference schemes for Landau-Lifshitz equation. Zbl 1481.65119
An, Rong; Gao, Huadong; Sun, Weiwei
1
2021
On the infinite order limit of Hermite-based finite difference schemes. Zbl 1484.65240
Abrahamsen, Dylan; Fornberg, Bengt
1
2021
Local energy estimates for the fractional Laplacian. Zbl 1486.65240
Borthagaray, Juan Pablo; Leykekhman, Dmitriy; Nochetto, Ricardo H.
1
2021
Error analysis for probabilities of rare events with approximate models. Zbl 07372634
Wagner, Fabian; Latz, Jonas; Papaioannou, Iason; Ullmann, Elisabeth
1
2021
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides. Zbl 07372636
Bécache, Eliane; Kachanovska, Maryna
1
2021
Numerical analysis of resonances by a slab of subwavelength slits by Fourier-matching method. Zbl 07383914
Zhou, Jiaxin; Lu, Wangtao
1
2021
On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. Zbl 07383916
Koc, Birgul; Rubino, Samuele; Schneier, Michael; Singler, John; Iliescu, Traian
1
2021
A symplectic discontinuous Galerkin full discretization for stochastic Maxwell equations. Zbl 1470.60178
Chen, Chuchu
1
2021
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. Zbl 07383919
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim
1
2021
Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit. Zbl 07383920
Ding, Zhiyan; Einkemmer, Lukas; Li, Qin
1
2021
A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. Zbl 1476.65208
Jüngel, Ansgar; Zurek, Antoine
1
2021
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. Zbl 07410698
Huo, Xiaokai; Liu, Hailiang; Tzavaras, Athanasios E.; Wang, Shuaikun
1
2021
Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. Zbl 1479.65003
Deckelnick, Klaus; Nürnberg, Robert
1
2021
Convergence of Dziuk’s fully discrete linearly implicit scheme for curve shortening flow. Zbl 07423175
Ye, Changqing; Cui, Junzhi
1
2021
Numerical maximization of the \(p\)-Laplacian energy of a two-phase material. Zbl 1481.49027
Casado-Díaz, Juan; Conca, Carlos; Vásquez-Varas, Donato
1
2021
On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. Zbl 1447.65083
Liao, Hong-lin; Tang, Tao; Zhou, Tao
23
2020
Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations. Zbl 1475.65121
Hao, Zhaopeng; Zhang, Zhongqiang
21
2020
An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. Zbl 1429.65168
Zheng, Xiangcheng; Wang, Hong
20
2020
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 1471.65147
Kopteva, Natalia; Meng, Xiangyun
20
2020
An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. Zbl 1450.65135
Zheng, Xiangcheng; Wang, Hong
19
2020
A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically). Zbl 1433.65102
Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
16
2020
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
16
2020
Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. Zbl 1448.65157
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S.
14
2020
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128 Schwab, Christoph
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103 Cockburn, Bernardo
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102 Gatica, Gabriel N.
98 Gunzburger, Max D.
97 Rui, Hongxing
96 Burman, Erik
95 Simos, Theodore E.
95 Wheeler, Mary Fanett
93 Shen, Jie
92 Du, Qiang
92 Feng, Xinlong
91 Jackiewicz, Zdzislaw
91 Quarteroni, Alfio M.
90 Babuška, Ivo
90 Evans, David John
89 Zhang, Shangyou
88 Chung, Tsz Shun Eric
86 Wei, Yimin
84 Beirão da Veiga, Lourenço
84 Nochetto, Ricardo Horacio
83 Huang, Ting-Zhu
81 Axelsson, Axel Owe Holger
81 Dumbser, Michael
81 Ye, Xiu
80 Brenner, Susanne Cecelia
80 Ern, Alexandre
80 Karniadakis, George Em
80 Wang, Cheng
80 Xu, Jinchao
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79 Li, Jichun
78 Hughes, Thomas J. R.
78 Wohlmuth, Barbara I.
77 Praetorius, Dirk
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75 Gander, Martin Jakob
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70 Lubich, Christian
70 Rebholz, Leo G.
70 Sloan, Ian Hugh
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70 Wu, Xinyuan
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69 Luo, Zhendong
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66 Sun, Shuyu
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65 Stephan, Ernst Peter
64 Larson, Mats G.
64 Osher, Stanley Joel
64 Sun, Zhizhong
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60 Dick, Josef
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59 Di Pietro, Daniele Antonio
59 Zhu, Detong
58 Hansbo, Peter
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58 Li, Jian
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57 Vohralík, Martin
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57 Yuan, Yirang
56 Huang, Pengzhan
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56 Mei, Liquan
56 Ostermann, Alexander
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