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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: Journal; Indexed cover-to-cover
Documents Indexed: 6,002 Publications (since 1966)
References Indexed: 1,162 Publications with 41,536 References.
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Latest Issues

62, No. 2 (2024)
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61, No. 6 (2023)
61, No. 5 (2023)
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...and 148 more Volumes
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Authors

40 Carstensen, Carsten
37 Manteuffel, Thomas A.
37 Wheeler, Mary Fanett
36 Babuška, Ivo
34 Du, Qiang
31 Cockburn, Bernardo
31 Nochetto, Ricardo Horacio
31 Shu, Chi-Wang
29 Cai, Zhiqiang
29 McCormick, Steve Fahrney
27 Shen, Jie
26 Sloan, Ian Hugh
25 Schwab, Christoph
25 Sun, Weiwei
24 Gunzburger, Max D.
24 Li, Buyang
23 Süli, Endre E.
22 Ainsworth, Mark
22 Ewing, Richard Edward
20 Bartels, Sören
20 Burman, Erik
20 Guermond, Jean-Luc
20 Rheinboldt, Werner C.
20 Widlund, Olof B.
19 Osher, Stanley Joel
19 Starke, Gerhard
19 Tadmor, Eitan
18 Wohlmuth, Barbara I.
17 Bank, Randolph E.
17 Ern, Alexandre
17 Feng, Xiaobing
17 Gopalakrishnan, Jay
17 Kelley, Carl T.
17 Layton, William J.
17 Lubich, Christian
17 Parter, Seymour V.
17 Russell, Robert D.
17 Schumaker, Larry L.
17 Wang, Junping
17 Zhang, Zhimin
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 Beirão da Veiga, Lourenço
15 Bernardi, Christine
15 Prohl, Andreas
15 Thomée, Vidar
14 Atkinson, Kendall Eugene
14 Barrett, John William
14 Brunner, Hermann
14 Dahmen, Wolfgang A.
14 Dawson, Clint N.
14 Gottlieb, David I.
14 Kreiss, Heinz-Otto
14 Lin, Yanping
14 Liu, Steve Wenbin
14 Makridakis, Charalambos G.
14 Reusken, Arnold
14 Stroud, Arthur H.
14 Tang, Tao
14 Wang, Hong
14 Xu, Jinchao
14 Yotov, Ivan
13 Bao, Weizhu
13 Bialecki, Bernard
13 Burrage, Kevin
13 Conn, Andrew Roger
13 Demkowicz, Leszek F.
13 Demlow, Alan
13 Dupont, Todd F.
13 Graham, Ivan G.
13 Johnson, Claes G. L.
13 Nicolaides, Roy A.
13 Schötzau, Dominik
13 Trefethen, Lloyd Nicholas
13 Wu, Haijun
12 Ascher, Uri M.
12 Bochev, Pavel B.
12 Brenner, Susanne Cecelia
12 Chan, Tony Fan-Cheong
12 Falk, Richard S.
12 Gander, Martin Jakob
12 Heuer, Norbert
12 Jin, Shi
12 Joly, Patrick
12 Luskin, Mitchell
12 Ma, Heping
12 Novo, Julia
12 Ostermann, Alexander
12 Pareschi, Lorenzo
12 Petzold, Linda Ruth
12 Sauter, Stefan
12 Stuart, Andrew M.
11 Bramble, James H.
11 Canuto, Claudio
11 Dick, Josef
...and 5,277 more Authors
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Fields

5,410 Numerical analysis (65-XX)
2,386 Partial differential equations (35-XX)
776 Fluid mechanics (76-XX)
465 Approximations and expansions (41-XX)
449 Ordinary differential equations (34-XX)
266 Mechanics of deformable solids (74-XX)
260 Calculus of variations and optimal control; optimization (49-XX)
251 Integral equations (45-XX)
219 Probability theory and stochastic processes (60-XX)
177 Optics, electromagnetic theory (78-XX)
177 Operations research, mathematical programming (90-XX)
163 Operator theory (47-XX)
146 Statistical mechanics, structure of matter (82-XX)
135 Linear and multilinear algebra; matrix theory (15-XX)
110 Dynamical systems and ergodic theory (37-XX)
92 Computer science (68-XX)
77 Harmonic analysis on Euclidean spaces (42-XX)
65 Functional analysis (46-XX)
63 Biology and other natural sciences (92-XX)
59 Systems theory; control (93-XX)
56 Functions of a complex variable (30-XX)
55 Real functions (26-XX)
52 Special functions (33-XX)
51 Statistics (62-XX)
45 Potential theory (31-XX)
43 Global analysis, analysis on manifolds (58-XX)
43 Quantum theory (81-XX)
43 Geophysics (86-XX)
42 Information and communication theory, circuits (94-XX)
39 Classical thermodynamics, heat transfer (80-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Mechanics of particles and systems (70-XX)
30 Integral transforms, operational calculus (44-XX)
23 Number theory (11-XX)
23 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)
9 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)
2 Mathematics education (97-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 Several complex variables and analytic spaces (32-XX)

Publications by Year

Citations contained in zbMATH Open

5,623 Publications have been cited 152,629 times in 73,207 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
1998
On the construction and comparison of difference schemes. Zbl 0184.38503
Strang, Gilbert
914
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
814
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
725
1982
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
675
1994
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
658
1984
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
616
1996
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
587
2009
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
545
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
538
1986
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
499
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
485
1975
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
464
1990
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
459
2017
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.
454
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
450
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
441
1995
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
423
2007
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
418
1996
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
418
2009
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
388
2004
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
372
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.
371
2008
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
343
2002
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
333
1987
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
333
1970
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.
317
2009
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.
307
2005
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
304
1996
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
304
2003
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
301
2009
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
298
2012
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
296
1976
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
288
1996
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
283
2013
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
276
2002
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
273
1991
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
272
1983
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.
271
2009
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
270
1997
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
266
2003
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
259
2008
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
257
1992
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
256
1972
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.
254
2012
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
254
2000
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
251
1994
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
250
1988
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
250
1977
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
Ladeveze, P.; Leguillon, D.
247
1983
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
247
2002
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
241
2002
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
241
1973
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
240
2006
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
239
1987
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
232
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.
228
1994
Sharp error estimate of the nonuniform L1 formula for linear reaction-subdiffusion equations. Zbl 1447.65026
Liao, Hong-lin; Li, Dongfang; Zhang, Jiwei
227
2018
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.
225
2008
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
224
1997
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.
221
2014
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
219
1991
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
219
1980
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
218
1970
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
217
2000
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
215
2003
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
212
2006
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
209
2006
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
209
2000
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
209
1992
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
208
1983
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.
208
2008
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
208
1973
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
206
2002
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
204
2005
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
201
2001
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
200
2000
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
196
1973
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
195
1996
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
194
1976
Optimized Schwarz methods. Zbl 1117.65165
Gander, Martin J.
194
2006
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
193
1968
An energy stable and convergent finite-difference scheme for the modified phase field crystal equation. Zbl 1230.82005
Wang, C.; Wise, S. M.
192
2011
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
192
1980
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
191
2002
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
191
1997
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
190
2005
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
189
1973
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
187
2013
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
186
1998
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
184
1966
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.
181
1972
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.
181
1991
Finite element solution of the Helmholtz equation with high wave number. II: The \(h-p\) version of the FEM. Zbl 0884.65104
Ihlenburg, Frank; Babuška, Ivo
180
1997
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
179
2003
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
179
1987
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
178
1985
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080
Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik
177
2001
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. Zbl 1146.76031
Mu, Mo; Xu, Jinchao
177
2007
Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. Zbl 1517.65128
Wang, Bin; Zhao, Xiaofei
8
2023
Summation-by-parts operators for general function spaces. Zbl 07679126
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp
5
2023
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867
Busto, Saray; Dumbser, Michael
5
2023
Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. Zbl 1512.65258
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M.
5
2023
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves. Zbl 1512.65205
Bao, Weizhu; Jiang, Wei; Li, Yifei
4
2023
Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models. Zbl 1527.35452
Liao, Hong-lin; Liu, Nan; Lyu, Pin
4
2023
Rank-adaptive time integration of tree tensor networks. Zbl 1511.65064
Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik
4
2023
Analysis of error localization of Chebyshev spectral approximations. Zbl 1528.41016
Wang, Haiyong
4
2023
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. Zbl 1521.65118
Carstensen, Carsten; Puttkammer, Sophie
3
2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. I: Convergence analysis. Zbl 1518.76035
Kaltenbach, Alex; RůžIčka, Michael
3
2023
A local discontinuous Galerkin approximation for the \(p\) -Navier-Stokes system. II: Convergence rates for the velocity. Zbl 1518.76036
Kaltenbach, Alex; Růžička, Michael
3
2023
Fluid-fluid interaction problems at high Reynolds numbers: reducing the modeling error with LES-C. Zbl 1520.76042
Aggul, Mustafa; Labovsky, Alexander E.; Onal, Eda; Schwiebert, Kyle J.
2
2023
Efficient stability-preserving numerical methods for nonlinear coercive problems in vector space. Zbl 07679130
Wang, Wansheng; Li, Shoufu
2
2023
Optimization and convergence of numerical attractors for discrete-time quasi-linear lattice system. Zbl 1512.65161
Li, Yangrong; Yang, Shuang; Caraballo, Tomás
2
2023
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. Zbl 07754853
Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi
2
2023
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. Zbl 1517.65085
Chupeng, Ma; Alber, Christian; Scheichl, Robert
2
2023
Erratum to: “Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements”. Zbl 1526.65043
Bai, Genming; Li, Buyang
2
2023
An improved high-order method for elliptic multiscale problems. Zbl 07725052
Dong, Zhaonan; Hauck, Moritz; Maier, Roland
2
2023
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang
2
2023
Value-gradient based formulation of optimal control problem and machine learning algorithm. Zbl 1523.49031
Bensoussan, Alain; Han, Jiayue; Yam, Sheung Chi Phillip; Zhou, Xiang
2
2023
A unifying framework for interpolatory \(\mathcal{L}_2\)-optimal reduced-order modeling. Zbl 1523.30048
Mlinarić, Petar; Gugercin, Serkan
2
2023
A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. Zbl 07679127
Amrein, Mario; Heid, Pascal; Wihler, Thomas P.
1
2023
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. Zbl 1528.65103
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K.
1
2023
Convergence of a time discrete scheme for a chemotaxis-consumption model. Zbl 07764837
Guillén-González, Francisco; Corrêa Vianna Filho, André Luiz
1
2023
The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. Zbl 07764838
Burman, Erik; Delay, Guillaume; Ern, Alexandre
1
2023
High-order BDF convolution quadrature for subdiffusion models with a singular source term. Zbl 07764839
Shi, Jiankang; Chen, Minghua
1
2023
Monte Carlo gradient in optimization constrained by radiative transport equation. Zbl 07770184
Li, Qin; Wang, Li; Yang, Yunan
1
2023
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. Zbl 1517.65038
Colbrook, Matthew J.
1
2023
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. Zbl 1519.65043
Bessemoulin-Chatard, Marianne; Filbet, Francis
1
2023
Gauge-transformed exponential integrator for generalized KdV equations with rough data. Zbl 07713540
Li, Bing; Wu, Yifei; Zhao, Xiaofei
1
2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. III: Convergence rates for the pressure. Zbl 1518.76037
Kaltenbach, Alex; Růžička, Michael
1
2023
\(p\)-robust equilibrated flux reconstruction in \(\boldsymbol{H}(\mathrm{curl})\) based on local minimizations: application to a posteriori analysis of the curl-curl problem. Zbl 07713544
Chaumont-Frelet, Théophile; Vohralík, Martin
1
2023
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow. Zbl 1522.65174
Jiang, Wei; Su, Chunmei; Zhang, Ganghui
1
2023
Observable error bounds of the time-splitting scheme for quantum-classical molecular dynamics. Zbl 1518.35565
Fang, Di; Vilanova, Albert Tres
1
2023
Agglomeration-based geometric multigrid schemes for the virtual element method. Zbl 1512.65290
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco
1
2023
Convergence analysis of Newton-Schur method for symmetric elliptic eigenvalue problem. Zbl 1519.65051
Shao, Nian; Chen, Wenbin
1
2023
Adaptive finite element approximations for elliptic problems using regularized forcing data. Zbl 1515.65292
Heltai, Luca; Lei, Wenyu
1
2023
Computational lower bounds of the Maxwell eigenvalues. Zbl 1518.35581
Gallistl, Dietmar; Olkhovskiy, Vladislav
1
2023
Nonlinear eigenvalue methods for linear pointwise stability of nonlinear waves. Zbl 1510.65101
Scheel, Arnd
1
2023
Optimal analysis of non-uniform Galerkin-mixed finite element approximations to the Ginzburg-Landau equations in superconductivity. Zbl 1514.65128
Gao, Huadong; Sun, Weiwei
1
2023
Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners. Zbl 1515.65073
Axelsson, Owe; Karátson, János; Magoulès, Frédéric
1
2023
Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. Zbl 07688703
Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze
1
2023
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. Zbl 1516.65086
García-Archilla, Bosco; John, Volker; Novo, Julia
1
2023
Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. Zbl 07572361
Ju, Lili; Li, Xiao; Qiao, Zhonghua
17
2022
A family of finite element Stokes complexes in three dimensions. Zbl 1522.65212
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin
14
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.
13
2022
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. Zbl 1496.65166
Li, Buyang; Ma, Shu
13
2022
Novel design and analysis of generalized finite element methods based on locally optimal spectral approximations. Zbl 07714591
Ma, Chupeng; Scheichl, Robert; Dodwell, Tim
12
2022
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07572363
Bao, Weizhu; Cai, Yongyong; Feng, Yue
11
2022
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. Zbl 1492.65269
Li, Xiaoli; Wang, Weilong; Shen, Jie
10
2022
A new Lagrange multiplier approach for constructing structure preserving schemes. II: Bound preserving. Zbl 1491.65110
Cheng, Qing; Shen, Jie
9
2022
Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. Zbl 1496.65213
Chen, Long; Huang, Xuehai
8
2022
High order strong stability preserving multiderivative implicit and IMEX Runge-Kutta methods with asymptotic preserving properties. Zbl 1522.65120
Gottlieb, Sigal; Grant, Zachary J.; Hu, Jingwei; Shu, Ruiwen
7
2022
Local convergence of the FEM for the integral fractional Laplacian. Zbl 07534669
Faustmann, Markus; Karkulik, Michael; Melenk, Jens Markus
6
2022
Convergence of renormalized finite element methods for heat flow of harmonic maps. Zbl 07714593
Gui, Xinping; Li, Buyang; Wang, Jilu
6
2022
Computing semigroups with error control. Zbl 1520.65033
Colbrook, Matthew J.
6
2022
Temporal second-order finite difference schemes for variable-order time-fractional wave equations. Zbl 1481.65128
Du, Rui-lian; Sun, Zhi-zhong; Wang, Hong
6
2022
Stability of variable-step BDF2 and BDF3 methods. Zbl 1501.65041
Li, Zhaoyi; Liao, Hong-lin
6
2022
A variable time step time filter algorithm for the geothermal system. Zbl 1505.76061
Qin, Yi; Wang, Yongshuai; Li, Jian
6
2022
Error estimates for Euler discretization of high-index saddle dynamics. Zbl 1507.37110
Zhang, Lei; Zhang, Pingwen; Zheng, Xiangcheng
6
2022
\(H^m\)-conforming virtual elements in arbitrary dimension. Zbl 1514.65166
Chen, Chunyu; Huang, Xuehai; Wei, Huayi
6
2022
Locking-free enriched Galerkin method for linear elasticity. Zbl 1483.65195
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil
5
2022
Hybrid high-order and weak Galerkin methods for the biharmonic problem. Zbl 1501.65111
Dong, Zhaonan; Ern, Alexandre
5
2022
Stratified radiative transfer in a fluid and numerical applications to Earth science. Zbl 1502.35173
Golse, François; Pironneau, Olivier R.
5
2022
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation. Zbl 1511.76073
Pareschi, Lorenzo; Rey, Thomas
5
2022
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 1508.65163
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo
5
2022
A note on sampling recovery of multivariate functions in the uniform norm. Zbl 1510.94078
Pozharska, Kateryna; Ullrich, Tino
5
2022
MINRES for second-order PDEs with singular data. Zbl 1491.65136
Führer, Thomas; Heuer, Norbert; Karkulik, Michael
4
2022
Flux-mortar mixed finite element methods on nonmatching grids. Zbl 1493.65192
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan
4
2022
A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussian noise with Hurst index \(H\in(0,1)\). Zbl 07556062
Nie, Daxin; Deng, Weihua
4
2022
A \(C^1\) conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence analysis over rectangular meshes. Zbl 07714592
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin
4
2022
Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. Zbl 1527.49026
Otárola, Enrique
4
2022
Isoparametric unfitted BDF-finite element method for PDEs on evolving domains. Zbl 1501.65076
Lou, Yimin; Lehrenfeld, Christoph
4
2022
Sinc-\(\theta\) schemes for backward stochastic differential equations. Zbl 1506.65024
Wang, Xu; Zhao, Weidong; Zhou, Tao
4
2022
Sharper error estimates for virtual elements and a bubble-enriched version. Zbl 1498.65195
Beirão da Veiga, L.; Vacca, G.
4
2022
Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to nonrelativistic limit regime. Zbl 1492.35297
Calvo, María Cabrera; Schratz, Katharina
3
2022
An embedded exponential-type low-regularity integrator for mKdV equation. Zbl 07534667
Ning, Cui; Wu, Yifei; Zhao, Xiaofei
3
2022
Optimal maximum norm estimates for virtual element methods. Zbl 1491.65139
He, Wen-Ming; Guo, Hailong
3
2022
Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space. Zbl 1518.49002
Gong, Wei; Mateos, Mariano; Singler, John; Zhang, Yangwen
3
2022
On the stability of unconditionally positive and linear invariants preserving time integration schemes. Zbl 1506.65098
Izgin, Thomas; Kopecz, Stefan; Meister, Andreas
3
2022
The discovery of dynamics via linear multistep methods and deep learning: error estimation. Zbl 1506.65105
Du, Qiang; Gu, Yiqi; Yang, Haizhao; Zhou, Chao
3
2022
On the coupling of the curved virtual element method with the one-equation boundary element method for 2D exterior Helmholtz problems. Zbl 1501.65145
Desiderio, Luca; Falletta, Silvia; Ferrari, Matteo; Scuderi, Letizia
3
2022
Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals. Zbl 1508.65102
Gudibanda, Varun M.; Weber, Franziska; Yue, Yukun
3
2022
A fourth-order unfitted characteristic finite element method for solving the advection-diffusion equation on time-varying domains. Zbl 1503.65240
Ma, Chuwen; Zhang, Qinghai; Zheng, Weiying
3
2022
A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations. Zbl 1503.65237
Li, Buyang; Ma, Shu; Schratz, Katharina
3
2022
Optimized transmission conditions in domain decomposition methods with cross-points for Helmholtz equation. Zbl 1505.65304
Després, B.; Nicolopoulos, A.; Thierry, B.
3
2022
Convergence analysis of discrete high-index saddle dynamics. Zbl 1506.37101
Luo, Yue; Zheng, Xiangcheng; Cheng, Xiangle; Zhang, Lei
3
2022
Identification of potential in diffusion equations from terminal observation: analysis and discrete approximation. Zbl 1506.65144
Zhang, Zhengqi; Zhang, Zhidong; Zhou, Zhi
3
2022
Full discretization of Cauchy’s problem by Lavrentiev-finite element method. Zbl 07498293
Ben Belgacem, Faker; Girault, Vivette; Jelassi, Faten
3
2022
Well-posedness and convergence of a finite volume method for conservation laws on networks. Zbl 07498295
Fjordholm, Ulrik S.; Musch, Markus; Risebro, Nils H.
3
2022
Neural parametric Fokker-Planck equation. Zbl 1493.65132
Liu, Shu; Li, Wuchen; Zha, Hongyuan; Zhou, Haomin
3
2022
Coupling parareal with optimized Schwarz waveform relaxation for parabolic problems. Zbl 1492.65260
Bui, Duc Quang; Japhet, Caroline; Maday, Yvon; Omnes, Pascal
2
2022
Conforming finite element divdiv complexes and the application for the linearized Einstein-Bianchi system. Zbl 1490.65275
Hu, Jun; Liang, Yizhou; Ma, Rui
2
2022
A well-posed first order system least squares formulation of the instationary Stokes equations. Zbl 07556064
Gantner, Gregor; Stevenson, Rob
2
2022
On maximal regularity estimates for discontinuous Galerkin time-discrete methods. Zbl 07714588
Akrivis, Georgios; Makridakis, Charalambos
2
2022
Accuracy of spectral element method for wave, parabolic, and Schrödinger equations. Zbl 1525.65094
Li, Hao; Appelö, Daniel; Zhang, Xiangxiong
2
2022
Convergence analysis of inexact two-grid methods: a theoretical framework. Zbl 1481.65049
Xu, Xuefeng; Zhang, Chen-Song
2
2022
A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: pointwise error estimates under Hölder regularity. Zbl 1506.65184
Han, Rubing; Wu, Shuonan
2
2022
On convergence of numerical solutions for the compressible MHD system with exactly divergence-free magnetic field. Zbl 1513.76173
Li, Yang; She, Bangwei
2
2022
On energy laws and stability of Runge-Kutta methods for linear seminegative problems. Zbl 1502.65143
Sun, Zheng; Wei, Yuanzhe; Wu, Kailiang
2
2022
...and 1722 more Documents
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222 Shu, Chi-Wang
219 Dehghan Takht Fooladi, Mehdi
194 He, Yinnian
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153 Zhang, Zhimin
146 Shi, Dongyang
143 Carstensen, Carsten
140 Schwab, Christoph
132 Wang, Hong
117 Rui, Hongxing
115 Burman, Erik
115 Liu, Fawang
113 Gatica, Gabriel N.
112 Feng, Xinlong
110 Gunzburger, Max D.
107 Cockburn, Bernardo
107 Simos, Theodore E.
106 Zhang, Shangyou
102 Du, Qiang
102 Wheeler, Mary Fanett
101 Chung, Tsz Shun Eric
101 Shen, Jie
101 Yang, Xiaofeng
100 Dumbser, Michael
100 Gander, Martin Jakob
100 Quarteroni, Alfio M.
98 Beirão da Veiga, Lourenço
95 Babuška, Ivo
95 Ern, Alexandre
95 Nochetto, Ricardo Horacio
94 Jackiewicz, Zdzislaw
91 Karniadakis, George Em
91 Xu, Da
90 Evans, David John
90 Ye, Xiu
88 Hou, Yanren
88 Li, Jichun
88 Wei, Yimin
87 Brenner, Susanne Cecelia
86 Praetorius, Dirk
86 Wohlmuth, Barbara I.
86 Xu, Jinchao
85 Huang, Chengming
84 Huang, Ting-Zhu
84 Hughes, Thomas J. R.
84 Nordström, Jan
83 Axelsson, Axel Owe Holger
83 Li, Hong
81 Jiang, Yaolin
81 Rebholz, Leo G.
80 Wang, Cheng
79 Sun, Shuyu
78 Chen, Zhangxin
78 Demkowicz, Leszek F.
77 Codina, Ramon
77 Osher, Stanley Joel
76 Guo, Ben-Yu
76 Lubich, Christian
75 Bai, Zhongzhi
75 Jin, Shi
75 Turner, Ian William
75 Wu, Xinyuan
74 Larson, Mats G.
74 Li, Buyang
74 Manzini, Gianmarco
74 Sloan, Ian Hugh
73 Li, Jian
72 Guermond, Jean-Luc
72 Martínez, José Mario
72 Stynes, Martin Joseph
71 Burrage, Kevin
71 Han, Weimin
71 Luo, Zhendong
71 Mei, Liquan
71 Nicaise, Serge
70 Kurganov, Alexander
70 Stephan, Ernst Peter
70 Sun, Zhizhong
69 Huang, Pengzhan
69 Ju, Lili
69 Li, Zhilin
69 Ruiz-Baier, Ricardo
69 Serra-Capizzano, Stefano
68 Amat Plata, Sergio
67 Di Pietro, Daniele Antonio
67 Melenk, Jens Markus
66 Antonietti, Paola Francesca
66 Pani, Amiya Kumar
66 Reichel, Lothar
66 Zheng, Xiangcheng
65 Hansbo, Peter
65 Petković, Miodrag S.
64 Dick, Josef
64 Liu, Yang
64 Maday, Yvon
64 Qiu, Jianxian
64 Seaïd, Mohammed
63 Carrillo de la Plata, José Antonio
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