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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: 6,093 Publications (since 1966)
References Indexed: 1,253 Publications with 44,978 References.
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Latest Issues

63, No. 1 (2025)
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...and 153 more Volumes
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Authors

41 Carstensen, Carsten
37 Manteuffel, Thomas A.
37 Wheeler, Mary Fanett
36 Babuška, Ivo
35 Du, Qiang
32 Shu, Chi-Wang
31 Cockburn, Bernardo
31 Nochetto, Ricardo Horacio
31 Shen, Jie
29 Cai, Zhiqiang
29 McCormick, Steve Fahrney
26 Li, Buyang
26 Sloan, Ian Hugh
26 Sun, Weiwei
25 Schwab, Christoph
24 Gunzburger, Max Donald
24 Süli, Endre E.
23 Ainsworth, Mark
22 Ewing, Richard Edward
21 Burman, Erik
20 Bartels, Sören
20 Guermond, Jean-Luc
20 Rheinboldt, Werner C.
20 Tadmor, Eitan
20 Widlund, Olof B.
19 Osher, Stanley Joel
19 Starke, Gerhard
19 Zhang, Zhimin
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
16 Beirão da Veiga, Lourenço
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 Bao, Weizhu
15 Bernardi, Christine
15 Dahmen, Wolfgang A.
15 Prohl, Andreas
15 Tang, Tao
15 Thomée, Vidar
14 Atkinson, Kendall Eugene
14 Barrett, John William
14 Brunner, Hermann
14 Dawson, Clint N.
14 Demkowicz, Leszek
14 Gander, Martin Jakob
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 Stuart, Andrew M.
14 Wang, Hong
14 Wu, Haijun
14 Xu, Jinchao
14 Yotov, Ivan
13 Bialecki, Bernard
13 Burrage, Kevin
13 Conn, Andrew Roger
13 Demlow, Alan
13 Dupont, Todd F.
13 George, Alan
13 Graham, Ivan G.
13 Heuer, Norbert
13 Johnson, Claes G. L.
13 Nicolaides, Roy A.
13 Ostermann, Alexander
13 Schötzau, Dominik
13 Trefethen, Lloyd Nicholas
12 Ascher, Uri M.
12 Bochev, Pavel B.
12 Brenner, Susanne Cecelia
12 Chan, Tony Fan-Cheong
12 Falk, Richard S.
12 Jin, Shi
12 Joly, Patrick
12 Luskin, Mitchell
12 Ma, Heping
12 Novo, Julia
12 Pareschi, Lorenzo
12 Petzold, Linda Ruth
12 Sauter, Stefan
12 Xu, Xuejun
11 Bramble, James H.
...and 5,389 more Authors
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Fields

5,498 Numerical analysis (65-XX)
2,427 Partial differential equations (35-XX)
785 Fluid mechanics (76-XX)
477 Approximations and expansions (41-XX)
451 Ordinary differential equations (34-XX)
274 Mechanics of deformable solids (74-XX)
268 Calculus of variations and optimal control; optimization (49-XX)
252 Integral equations (45-XX)
222 Probability theory and stochastic processes (60-XX)
181 Optics, electromagnetic theory (78-XX)
181 Operations research, mathematical programming (90-XX)
163 Operator theory (47-XX)
151 Statistical mechanics, structure of matter (82-XX)
136 Linear and multilinear algebra; matrix theory (15-XX)
112 Dynamical systems and ergodic theory (37-XX)
100 Computer science (68-XX)
79 Harmonic analysis on Euclidean spaces (42-XX)
70 Functional analysis (46-XX)
66 Biology and other natural sciences (92-XX)
63 Systems theory; control (93-XX)
57 Functions of a complex variable (30-XX)
56 Real functions (26-XX)
54 Special functions (33-XX)
54 Statistics (62-XX)
46 Potential theory (31-XX)
44 Quantum theory (81-XX)
43 Global analysis, analysis on manifolds (58-XX)
43 Geophysics (86-XX)
43 Information and communication theory, circuits (94-XX)
40 Classical thermodynamics, heat transfer (80-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Mechanics of particles and systems (70-XX)
30 Integral transforms, operational calculus (44-XX)
24 Number theory (11-XX)
24 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 Measure and integration (28-XX)
4 Algebraic topology (55-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-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

5,754 Publications have been cited 167,539 times in 80,091 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
1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
888
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
776
1982
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
727
1984
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
719
1994
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
666
2009
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
656
1996
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
571
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
566
1986
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
563
2017
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
546
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
546
1990
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
530
1978
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
490
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
485
1995
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
478
1996
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.
474
1982
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
458
2009
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
456
2007
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
416
2004
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
398
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.
392
2008
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
373
2002
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
364
1987
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
361
1970
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
341
2013
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.
340
2009
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
339
2009
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
336
2003
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.
333
2005
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
328
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
320
1996
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
318
2012
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.
313
2009
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
303
2002
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
303
1976
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
302
1983
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
298
1991
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
297
1997
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
297
1972
Sharp error estimate of the nonuniform L1 formula for linear reaction-subdiffusion equations. Zbl 1447.65026
Liao, Hong-lin; Li, Dongfang; Zhang, Jiwei
291
2018
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100
Brenner, Susanne C.
289
2003
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.
289
2012
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
277
1988
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
276
1973
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
276
2002
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
274
1977
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
274
2008
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
271
1994
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
271
2006
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
267
1992
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
266
2000
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
Ladeveze, P.; Leguillon, D.
264
1983
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
252
2002
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
251
1987
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
250
2006
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
250
1973
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.
248
2014
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
246
1970
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.
245
1994
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.
242
2008
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069
Xu, Chuanju; Tang, Tao
239
2006
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
238
2005
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
235
1997
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
235
1991
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
233
1992
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
230
1980
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
230
2000
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
225
1983
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
225
2003
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
223
1973
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
223
2000
A discrete Grönwall inequality with applications to numerical schemes for subdiffusion problems. Zbl 1414.65008
Liao, Hong-lin; McLean, William; Zhang, Jiwei
220
2019
An energy stable and convergent finite-difference scheme for the modified phase field crystal equation. Zbl 1230.82005
Wang, C.; Wise, S. M.
219
2011
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
219
2002
Convergence and error analysis for the scalar auxiliary variable (SAV) schemes to gradient flows. Zbl 1403.65047
Shen, Jie; Xu, Jie
217
2018
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.
216
2008
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
215
1968
Optimized Schwarz methods. Zbl 1117.65165
Gander, Martin J.
214
2006
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
210
1980
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
210
2001
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
209
1997
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
208
1973
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
208
2000
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
207
1996
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
206
2013
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
205
1976
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
204
2002
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
201
1998
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058
Van der Houwen, P. J.; Sommeijer, B. P.
200
1987
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
198
2003
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
198
2007
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
197
1997
A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198
Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M.
195
2014
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
195
1973
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
195
1985
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
194
2005
The global dynamics of discrete semilinear parabolic equations. Zbl 0792.65066
Elliott, C. M.; Stuart, A. M.
193
1993
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. Zbl 1531.35290
Bao, Weizhu; Wang, Chushan
5
2024
Analysis and numerical approximation of stationary second-order mean field game partial differential inclusions. Zbl 1531.91010
Osborne, Yohance A. P.; Smears, Iain
5
2024
On uncertainty quantification of eigenvalues and eigenspaces with higher multiplicity. Zbl 07805447
Dölz, Jürgen; Ebert, David
5
2024
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. Zbl 1535.65270
Chen, Ziang; Lu, Jianfeng; Lu, Yulong; Zhang, Xiangxiong
4
2024
On optimal cell average decomposition for high-order bound-preserving schemes of hyperbolic conservation laws. Zbl 07821073
Cui, Shumo; Ding, Shengrong; Wu, Kailiang
4
2024
wPINNs: weak physics informed neural networks for approximating entropy solutions of hyperbolic conservation laws. Zbl 1535.65249
De Ryck, Tim; Mishra, Siddhartha; Molinaro, Roberto
4
2024
Asymptotic-preserving and energy stable dynamical low-rank approximation. Zbl 1543.65053
Einkemmer, Lukas; Hu, Jingwei; Kusch, Jonas
3
2024
Space-time virtual elements for the heat equation. Zbl 1539.65117
Gomez, Sergio; Mascotto, Lorenzo; Moiola, Andrea; Perugia, Ilaria
3
2024
Numerical methods and analysis of computing quasiperiodic systems. Zbl 1534.65273
Jiang, Kai; Li, Shifeng; Zhang, Pingwen
3
2024
Space-time finite element methods for distributed optimal control of the wave equation. Zbl 1532.49031
Löscher, Richard; Steinbach, Olaf
3
2024
Learning high-dimensional McKean-Vlasov forward-backward stochastic differential equations with general distribution dependence. Zbl 07794520
Han, Jiequn; Hu, Ruimeng; Long, Jihao
2
2024
Algebraic structure of the weak stage order conditions for Runge-Kutta methods. Zbl 1537.65084
Biswas, Abhijit; Ketcheson, David; Seibold, Benjamin; Shirokoff, David
2
2024
Bilinear optimal control for the fractional Laplacian: analysis and discretization. Zbl 07870733
Bersetche, Francisco; Fuica, Francisco; Otárola, Enrique; Quero, Daniel
2
2024
Inverse wave-number-dependent source problems for the Helmholtz equation. Zbl 07870734
Guo, Hongxia; Hu, Guanghui
2
2024
A numerical framework for nonlinear peridynamics on two-dimensional manifolds based on implicit P-(EC)\(^k\) schemes. Zbl 1534.74003
Coclite, Alessandro; Coclite, Giuseppe M.; Maddalena, Francesco; Politi, Tiziano
2
2024
Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances. Zbl 1534.65091
Carrillo, José A.; Wang, Li; Wei, Chaozhen
2
2024
Contraction and convergence rates for discretized kinetic Langevin dynamics. Zbl 1545.65011
Leimkuhler, Benedict J.; Paulin, Daniel; Whalley, Peter A.
2
2024
Accurately recover global quasiperiodic systems by finite points. Zbl 07892759
Jiang, Kai; Zhou, Qi; Zhang, Pingwen
2
2024
Polynomial interpolation of function averages on interval segments. Zbl 1542.41001
Bruni Bruno, Ludovico; Erb, Wolfgang
2
2024
Lattice Green’s functions for high-order finite difference stencils. Zbl 1531.31007
Gabbard, James; van Rees, Wim M.
1
2024
Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation. Zbl 1531.65267
Wang, Li-Lian; Yan, Jingye; Zhang, Xiaolong
1
2024
Total variation error bounds for the accelerated exponential Euler scheme approximation of parabolic semilinear SPDEs. Zbl 1545.65029
Bréhier, Charles-Edouard
1
2024
Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high-\(\kappa\) regime. Zbl 1542.65157
Dörich, Benjamin; Henning, Patrick
1
2024
High order splitting methods for SDEs satisfying a commutativity condition. Zbl 1532.60152
Foster, James M.; dos Reis, Gonçalo; Strange, Calum
1
2024
A universal median quasi-Monte Carlo integration. Zbl 07813245
Goda, Takashi; Suzuki, Kosuke; Matsumoto, Makoto
1
2024
Virtual element methods without extrinsic stabilization. Zbl 1534.65233
Chen, Chunyu; Huang, Xuehai; Wei, Huayi
1
2024
Numerical analysis for convergence of a sample-wise backpropagation method for training stochastic neural networks. Zbl 1534.65019
Archibald, Richard; Bao, Feng; Cao, Yanzhao; Sun, Hui
1
2024
Homogenization of nondivergence-form elliptic equations with discontinuous coefficients and finite element approximation of the homogenized problem. Zbl 1534.35017
Sprekeler, Timo
1
2024
Convergence analysis for Bregman iterations in minimizing a class of Landau free energy functionals. Zbl 1534.65084
Bao, Chenglong; Chen, Chang; Jiang, Kai; Qiu, Lingyun
1
2024
An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost. Zbl 1534.65112
Agocs, Fruzsina J.; Barnett, Alex H.
1
2024
A positive and moment-preserving Fourier spectral method. Zbl 1534.65257
Cai, Zhenning; Lin, Bo; Lin, Meixia
1
2024
Robust DPG test spaces and fortin operators – the \(H^1\) and \(\boldsymbol{H}(\operatorname{div})\) cases. Zbl 1535.65278
Führer, Thomas; Heuer, Norbert
1
2024
Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. Zbl 1542.65029
Guth, Philipp A.; Kaarnioja, Vesa
1
2024
Cut finite element method for divergence-free approximation of incompressible flow: a Lagrange multiplier approach. Zbl 1540.65477
Burman, Erik; Hansbo, Peter; Larson, Mats
1
2024
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. Zbl 1541.65145
Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela
1
2024
Singularity swapping method for nearly singular integrals based on trapezoidal rule. Zbl 1537.65178
Bao, Gang; Hua, Wenmao; Lai, Jun; Zhang, Jinrui
1
2024
A kernel machine learning for inverse source and scattering problems. Zbl 07870737
Meng, Shixu; Zhang, Bo
1
2024
Mean dimension of radial basis functions. Zbl 07862222
Hoyt, Christopher; Owen, Art B.
1
2024
Pointwise gradient estimate of the Ritz projection. Zbl 1540.65482
Diening, Lars; Rolfes, Julian; Salgado, Abner J.
1
2024
Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems and applications. Zbl 1545.65413
Chernov, Alexey; Lê, Tùng
1
2024
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. Zbl 1545.35170
Bao, Weizhu; Wang, Chushan
1
2024
Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation. Zbl 1544.65143
Tong, Fenghua; Cai, Yongyong
1
2024
A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field. Zbl 07930210
Bai, Genming; Hu, Jiashun; Li, Buyang
1
2024
Uniform substructuring preconditioners for high order FEM on triangles and the influence of nodal basis functions. Zbl 1544.65200
Ainsworth, Mark; Jiang, Shuai
1
2024
On a new class of BDF and IMEX schemes for parabolic type equations. Zbl 1544.65155
Huang, Fukeng; Shen, Jie
1
2024
Finite element discretization of the steady, generalized Navier-Stokes equations with inhomogeneous Dirichlet boundary conditions. Zbl 1547.35299
Jeßberger, Julius; Kaltenbach, Alex
1
2024
New time domain decomposition methods for parabolic optimal control problems. I: Dirichlet-Neumann and Neumann-Dirichlet algorithms. Zbl 1544.65165
Gander, Martin J.; Lu, Liu-Di
1
2024
Erratum to: “Analysis and numerical approximation of stationary second-order mean field game partial differential inclusions”. Zbl 07939048
Osborne, Yohance A. P.; Smears, Iain
1
2024
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
14
2023
Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. Zbl 1517.65128
Wang, Bin; Zhao, Xiaofei
12
2023
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867
Busto, Saray; Dumbser, Michael
11
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.
11
2023
Rank-adaptive time integration of tree tensor networks. Zbl 1511.65064
Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik
9
2023
Analysis of error localization of Chebyshev spectral approximations. Zbl 1528.41016
Wang, Haiyong
9
2023
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. Zbl 1517.65085
Chupeng, Ma; Alber, Christian; Scheichl, Robert
9
2023
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves. Zbl 1512.65205
Bao, Weizhu; Jiang, Wei; Li, Yifei
8
2023
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. Zbl 1517.65038
Colbrook, Matthew J.
8
2023
Optimization and convergence of numerical attractors for discrete-time quasi-linear lattice system. Zbl 1512.65161
Li, Yangrong; Yang, Shuang; Caraballo, Tomás
7
2023
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang
7
2023
Exponential convergence of deep operator networks for elliptic partial differential equations. Zbl 1519.35088
Marcati, Carlo; Schwab, Christoph
6
2023
Summation-by-parts operators for general function spaces. Zbl 1529.65066
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp
6
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.
6
2023
Difference finite element method for the 3D steady Navier-Stokes equations. Zbl 1511.76053
Feng, Xinlong; Lu, Xiaoli; He, Yinnian
6
2023
Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. Zbl 1529.65057
Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze
6
2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. I: Convergence analysis. Zbl 1518.76035
Kaltenbach, Alex; RůžIčka, Michael
6
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
6
2023
Agglomeration-based geometric multigrid schemes for the virtual element method. Zbl 1512.65290
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco
5
2023
Analysis of a filtered time-stepping finite element method for natural convection problems. Zbl 1515.65251
Wu, Jilian; Li, Ning; Feng, Xinlong
5
2023
\(H^1\)-norm stability and convergence of an L2-type method on nonuniform meshes for subdiffusion equation. Zbl 07744121
Quan, Chaoyu; Wu, Xu
5
2023
Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes system. Zbl 1528.65077
Liu, Chen; Masri, Rami; Riviere, Beatrice
4
2023
High-order BDF convolution quadrature for subdiffusion models with a singular source term. Zbl 1537.65117
Shi, Jiankang; Chen, Minghua
4
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
4
2023
A kernel-based least-squares collocation method for surface diffusion. Zbl 1531.65264
Chen, Meng; Cheung, Ka Chun; Ling, Leevan
4
2023
Suboptimality of Gauss-Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness. Zbl 1516.65018
Kazashi, Yoshihito; Suzuki, Yuya; Goda, Takashi
4
2023
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. Zbl 1521.65118
Carstensen, Carsten; Puttkammer, Sophie
4
2023
Error estimation of the relaxation finite difference scheme for the nonlinear Schrödinger equation. Zbl 1529.65022
Zouraris, Georgios E.
4
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
4
2023
Resolution of singularities by rational functions. Zbl 1535.65049
Herremans, Astrid; Huybrechs, Daan; Trefethen, Lloyd N.
3
2023
An energy stable and maximum bound principle preserving scheme for the dynamic Ginzburg-Landau equations under the temporal gauge. Zbl 07770182
Ma, Limin; Qiao, Zhonghua
3
2023
Relaxed Kačanov scheme for the \(p\)-Laplacian with large exponent. Zbl 1529.35259
Balci, Anna Kh.; Diening, Lars; Storn, Johannes
3
2023
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. Zbl 1529.65102
Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi
3
2023
Ensemble domain decomposition algorithm for the fully mixed random Stokes-Darcy model with the Beavers-Joseph interface conditions. Zbl 1549.65531
Shi, Feng; Sun, Yizhong; Zheng, Haibiao
3
2023
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. Zbl 1531.65237
Gómez-Vargas, Bryan; Mardal, Kent-André; Ruiz-Baier, Ricardo; Vinje, Vegard
3
2023
Convergence analysis of Newton-Schur method for symmetric elliptic eigenvalue problem. Zbl 1519.65051
Shao, Nian; Chen, Wenbin
3
2023
On the error rate of importance sampling with randomized quasi-Monte Carlo. Zbl 1511.65007
He, Zhijian; Zheng, Zhan; Wang, Xiaoqun
3
2023
Computational lower bounds of the Maxwell eigenvalues. Zbl 1518.35581
Gallistl, Dietmar; Olkhovskiy, Vladislav
3
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
3
2023
Gauge-transformed exponential integrator for generalized KdV equations with rough data. Zbl 07713540
Li, Bing; Wu, Yifei; Zhao, Xiaofei
3
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 1535.65275
Chaumont-Frelet, Théophile; Vohralík, Martin
3
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
3
2023
A unifying framework for interpolatory \(\mathcal{L}_2\)-optimal reduced-order modeling. Zbl 1523.30048
Mlinarić, Petar; Gugercin, Serkan
3
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.
2
2023
Exponential convergence of \(hp\)-FEM for the integral fractional Laplacian in polygons. Zbl 1533.65224
Faustmann, Markus; Marcati, Carlo; Melenk, Jens Markus; Schwab, Christoph
2
2023
A probabilistic scheme for semilinear nonlocal diffusion equations with volume constraints. Zbl 07770183
Yang, Minglei; Zhang, Guannan; Del-Castillo-Negrete, Diego; Cao, Yanzhao
2
2023
Monte Carlo gradient in optimization constrained by radiative transport equation. Zbl 1545.65012
Li, Qin; Wang, Li; Yang, Yunan
2
2023
Fast Krasnosel’skiĭ-Mann algorithm with a convergence rate of the fixed point iteration of \(o\left(\frac{1}{k}\right)\). Zbl 07770187
Boţ, Radu Ioan; Nguyen, Dang-Khoa
2
2023
Implicit-explicit time discretization for Oseen’s equation at high Reynolds number with application to fractional step methods. Zbl 1543.76077
Burman, Erik; Garg, Deepika; Guzman, Johnny
2
2023
Stability and error analysis of a second-order consistent splitting scheme for the Navier-Stokes equations. Zbl 1529.65100
Huang, Fukeng; Shen, Jie
2
2023
Discrete hyperbolic curvature flow in the plane. Zbl 1522.65139
Deckelnick, Klaus; Nürnberg, Robert
2
2023
An improved high-order method for elliptic multiscale problems. Zbl 1529.65121
Dong, Zhaonan; Hauck, Moritz; Maier, Roland
2
2023
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149 Carstensen, Carsten
142 Schwab, Christoph
138 Wang, Hong
137 Rui, Hongxing
137 Shen, Jie
132 Feng, Xinlong
129 Simos, Theodore E.
129 Zhang, Shangyou
124 Liu, Fawang
119 Gander, Martin Jakob
119 Gatica, Gabriel N.
118 Burman, Erik
112 Dumbser, Michael
112 Gunzburger, Max Donald
109 Cockburn, Bernardo
109 Yang, Xiaofeng
108 Chung, Tsz Shun Eric
108 Quarteroni, Alfio M.
107 Du, Qiang
102 Wheeler, Mary Fanett
101 Ern, Alexandre
101 Ye, Xiu
99 Wei, Yimin
97 Beirão da Veiga, Lourenço
97 Jiang, Yaolin
96 Xu, Da
95 Babuška, Ivo
95 Jackiewicz, Zdzislaw
95 Karniadakis, George Em
95 Li, Hong
95 Nochetto, Ricardo Horacio
94 Hou, Yanren
93 Chen, Zhangxin
92 Huang, Chengming
92 Li, Jichun
91 Brenner, Susanne Cecelia
91 Demkowicz, Leszek
90 Evans, David John
90 Nordström, Jan
88 Wohlmuth, Barbara I.
87 Huang, Ting-Zhu
87 Praetorius, Dirk
87 Rebholz, Leo Gregory
86 Sun, Shuyu
86 Wang, Cheng
86 Xu, Jinchao
85 Axelsson, Axel Owe Holger
85 Osher, Stanley Joel
84 Li, Buyang
84 Manzini, Gianmarco
83 Hughes, Thomas J. R.
83 Luo, Zhendong
81 Codina, Ramon
80 Stynes, Martin Joseph
80 Turner, Ian William
79 Antonietti, Paola Francesca
79 Guo, Ben-Yu
79 Huang, Pengzhan
79 Jin, Shi
79 Li, Jian
79 Serra-Capizzano, Stefano
78 Kurganov, Alexander
78 Larson, Mats G.
78 Lubich, Christian
78 Mei, Liquan
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77 Bai, Zhongzhi
77 Guermond, Jean-Luc
77 Han, Weimin
77 Sloan, Ian Hugh
77 Zheng, Xiangcheng
76 Ju, Lili
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75 Sun, Zhizhong
74 Di Pietro, Daniele Antonio
74 Li, Zhilin
74 Melenk, Jens Markus
73 Li, Zi-Cai
73 Martínez, José Mario
73 Nicaise, Serge
73 Ruiz-Baier, Ricardo
73 Wang, Yushun
72 Liu, Yang
72 Pani, Amiya Kumar
71 Stephan, Ernst Peter
70 Amat Plata, Sergio
70 Harbrecht, Helmut
70 Qiu, Jianxian
70 Reichel, Lothar
70 Seaïd, Mohammed
69 Benner, Peter
69 Xie, Xiaoping
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