# zbMATH — the first resource for mathematics

## 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: 5,713 Publications (since 1966) References Indexed: 873 Publications with 30,389 References.
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#### Latest Issues

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#### Authors

 38 Carstensen, Carsten 37 Manteuffel, Thomas A. 37 Wheeler, Mary Fanett 36 Babuška, Ivo 32 Du, Qiang 31 Cockburn, Bernardo 29 Cai, Zhiqiang 29 McCormick, Steve Fahrney 29 Shu, Chi-Wang 28 Nochetto, Ricardo Horacio 25 Sloan, Ian Hugh 24 Gunzburger, Max D. 23 Schwab, Christoph 23 Shen, Jie 23 Süli, Endre E. 22 Ewing, Richard Edward 22 Sun, Weiwei 21 Ainsworth, Mark 20 Rheinboldt, Werner C. 20 Widlund, Olof B. 19 Bartels, Sören 19 Guermond, Jean-Luc 19 Li, Buyang 19 Starke, Gerhard 19 Tadmor, Eitan 18 Osher, Stanley Joel 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 Quarteroni, Alfio M. 16 Walkington, Noel J. 15 Arbogast, Todd 15 Bernardi, Christine 15 Burman, Erik 15 Lazarov, Raytcho D. 15 Maday, Yvon 15 Prohl, Andreas 15 Thomée, Vidar 15 Zhang, Zhimin 14 Atkinson, Kendall Eugene 14 Barrett, John W. 14 Brunner, Hermann 14 Dahmen, Wolfgang A. 14 Dawson, Clint N. 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 Beirão da Veiga, Lourenço 13 Bialecki, Bernard 13 Conn, Andrew Roger 13 Demkowicz, Leszek F. 13 Dupont, Todd F. 13 Ern, Alexandre 13 Graham, Ivan G. 13 Johnson, Claes G. L. 13 Lin, Yanping 13 Nicolaides, Roy A. 13 Schötzau, Dominik 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 Luskin, Mitchell 12 Ma, Heping 12 Makridakis, Charalambos G. 12 Petzold, Linda Ruth 12 Sauter, Stefan A. 12 Stuart, Andrew M. 12 Yotov, Ivan 11 Bramble, James H. 11 Dick, Josef 11 Gatica, Gabriel N. 11 Gopalakrishnan, Jayadeep 11 Guo, Benqi 11 Hiptmair, Ralf 11 Jin, Shi 11 Joly, Patrick 11 Keller, Herbert Bishop 11 Kellogg, Bruce 11 LeVeque, Randall J. 11 Novo, Julia 11 Ostermann, Alexander 11 Pareschi, Lorenzo 11 Skeel, Robert D. ...and 4,923 more Authors
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#### Fields

 5,131 Numerical analysis (65-XX) 2,226 Partial differential equations (35-XX) 727 Fluid mechanics (76-XX) 445 Approximations and expansions (41-XX) 442 Ordinary differential equations (34-XX) 249 Mechanics of deformable solids (74-XX) 245 Integral equations (45-XX) 237 Calculus of variations and optimal control; optimization (49-XX) 196 Probability theory and stochastic processes (60-XX) 172 Operations research, mathematical programming (90-XX) 155 Optics, electromagnetic theory (78-XX) 154 Operator theory (47-XX) 139 Statistical mechanics, structure of matter (82-XX) 130 Linear and multilinear algebra; matrix theory (15-XX) 100 Dynamical systems and ergodic theory (37-XX) 77 Computer science (68-XX) 71 Harmonic analysis on Euclidean spaces (42-XX) 58 Functional analysis (46-XX) 53 Functions of a complex variable (30-XX) 53 Biology and other natural sciences (92-XX) 52 Systems theory; control (93-XX) 46 Special functions (33-XX) 43 Real functions (26-XX) 43 Statistics (62-XX) 40 Global analysis, analysis on manifolds (58-XX) 40 Geophysics (86-XX) 38 Quantum theory (81-XX) 38 Information and communication theory, circuits (94-XX) 36 Classical thermodynamics, heat transfer (80-XX) 34 Potential theory (31-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Mechanics of particles and systems (70-XX) 27 Integral transforms, operational calculus (44-XX) 23 Number theory (11-XX) 20 Differential geometry (53-XX) 16 Difference and functional equations (39-XX) 14 Sequences, series, summability (40-XX) 12 Combinatorics (05-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) 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) 3 Relativity and gravitational theory (83-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)

#### Citations contained in zbMATH Open

5,313 Publications have been cited 116,674 times in 58,199 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.
1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060
Arnold, Douglas N.
1982
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048
Sweby, P. K.
1984
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
1994
Inexact Newton methods. Zbl 0478.65030
Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond
1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067
Grippo, L.; Lampariello, F.; Lucidi, S.
1986
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
1996
Error estimates for adaptive finite element computations. Zbl 0398.65069
Babuška, Ivo; Rheinboldt, W. C.
1978
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
1975
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
2009
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.
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
1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081
Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.
1995
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
2007
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003
Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
2004
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058
Wheeler, Mary Fanett
1978
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
1996
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243
Li, Xianjuan; Xu, Chuanju
2009
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
1990
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137
Nobile, F.; Tempone, R.; Webster, C. G.
2008
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
1976
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102
Harten, Ami; Osher, Stanley
1987
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201
Davis, Chandler; Kahan, W. M.
1970
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.
2005
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
2002
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019
Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.
1983
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064
Greenberg, James M.; Le Roux, Alain-Yves
1996
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
1996
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066
Osher, Stanley; Shu, Chi-Wang
1991
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
1997
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.
2009
On the $$O(1/n)$$ convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
2012
Error estimate procedure in the finite element method and applications. Zbl 0582.65078
1983
Coupling fluid flow with porous media flow. Zbl 1037.76014
Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
2003
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
1973
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
1994
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
2009
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
2000
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064
Spiteri, Raymond J.; Ruuth, Steven J.
2002
Discontinuous $$hp$$-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
2002
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
2008
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
1987
Monotone piecewise cubic interpolation. Zbl 0423.65011
Fritsch, F. N.; Carlson, R. E.
1980
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.
2008
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038
Alexander, Roger
1977
Poincaré–Friedrichs inequalities for piecewise $$H^{1}$$ functions. Zbl 1045.65100
Brenner, Susanne C.
2003
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
1992
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093
Eriksson, Kenneth; Johnson, Claes
1991
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
1970
Nested dissection of a regular finite element mesh. Zbl 0259.65087
George, Alan
1973
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
1973
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
1997
A priori $$L_2$$ error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060
Wheeler, Mary Fanett
1972
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304
Stone, H. L.
1968
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
2017
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.
1994
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
2002
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
2006
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115
Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.
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.
1987
On Godunov-type methods for gas dynamics. Zbl 0642.76088
Einfeldt, Bernd
1988
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.
2008
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040
King, Richard F.
1973
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
2001
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
2000
On the angle condition in the finite element method. Zbl 0324.65046
Babuška, Ivo; Aziz, A. K.
1976
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042
Steihaug, Trond
1983
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105
Wohlmuth, Barbara I.
2000
The numerical solution of Fredholm integral equations of the second kind. Zbl 0155.47404
Atkinson, K. E.
1967
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052
Saito, Yoshihiro; Mitsui, Taketomo
1996
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121
Bogomolny, Alexander
1985
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051
Higham, Desmond J.
2000
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
2013
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
1973
The approximate solution of elliptic boundary-value problems by fundamental solutions. Zbl 0368.65058
Mathon, Rudolf; Johnston, R. L.
1977
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120
Karakashian, Ohannes A.; Pascal, Frederic
2003
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
1992
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
2005
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
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.
2009
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081
Cessenat, Olivier; Despres, Bruno
1998
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084
Ewing, Richard E.; Lin, Tao; Lin, Yanping
2002
A generalization of a theorem of Böcher. Zbl 0173.02703
Marden, M.
1966
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050
Yan, Jue; Shu, Chi-Wang
2002
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel
1992
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan
1997
Nonlinear Galerkin methods. Zbl 0683.65083
Marion, Martine; Temam, Roger
1989
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803
Bramble, J. H.; Hilbert, S. R.
1970
The p-version of the finite element method. Zbl 0487.65059
Babuška, Ivo; Szabo, B. A.; Katz, I. N.
1981
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.
2014
Generalizing the singular value decomposition. Zbl 0338.65022
Van Loan, Charles F.
1976
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.
1991
Generalized finite element methods: Their performance and their relation to mixed methods. Zbl 0528.65046
Babuška, Ivo; Osborn, J. E.
1983
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
1997
Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044
Silvester, David; Wathen, Andrew
1994
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
2003
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
2005
Discovery of dynamics using linear multistep methods. Zbl 1466.65050
Keller, Rachael T.; Du, Qiang
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
2021
An efficient and convergent finite element scheme for Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1458.35345
Metzger, Stefan
2021
Spectral convergence of diffusion maps: improved error bounds and an alternative normalization. Zbl 07372625
Wormell, Caroline L.; Reich, Sebastian
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
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
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
2021
A priori error analysis of a numerical stochastic homogenization method. Zbl 07326332
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel
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
2021
Carleman-based reconstruction algorithm for waves. Zbl 1461.93213
Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain; Osses, Axel
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
2021
Hypocoercivity-compatible finite element methods for the long-time computation of Kolmogorov’s equation. Zbl 1456.65112
Georgoulis, Emmanuil H.
2021
Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 07372635
Banjai, Lehel; Lord, Gabriel; Molla, Jeta
2021
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides. Zbl 07372636
Bécache, Eliane; Kachanovska, Maryna
2021
Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations. Zbl 07154063
Hao, Zhaopeng; Zhang, Zhongqiang
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
2020
Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017
Manns, Paul; Kirches, Christian
2020
An artificial compression reduced order model. Zbl 1434.76064
DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael
2020
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
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.
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
2020
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
2020
A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004
Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh
2020
Unconditionally bound preserving and energy dissipative schemes for a class of Keller-Segel equations. Zbl 1440.65101
Shen, Jie; Xu, Jie
2020
$$H^2$$-stable polynomial liftings on triangles. Zbl 1460.46020
Ainsworth, Mark; Parker, Charles
2020
Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches. Zbl 07227715
Gao, Wenwu; Fasshauer, Gregory E.; Sun, Xingping; Zhou, Xuan
2020
Optimal convergence rates for Tikhonov regularization in Besov spaces. Zbl 07154055
Weidling, Frederic; Sprung, Benjamin; Hohage, Thorsten
2020
Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-self-adjoint operators. Zbl 07154062
Li, Buyang; Wang, Kai; Zhou, Zhi
2020
A weighted setting for the numerical approximation of the Poisson problem with singular sources. Zbl 1447.65135
Drelichman, Irene; Durán, Ricardo G.; Ojea, Ignacio
2020
Lagrangian discretization of crowd motion and linear diffusion. Zbl 1456.65137
Leclerc, Hugo; Mérigot, Quentin; Santambrogio, Filippo; Stra, Federico
2020
Error analysis of supremizer pressure recovery for POD based reduced-order models of the time-dependent Navier-Stokes equations. Zbl 1447.65080
Kean, Kiera; Schneier, Michael
2020
A multilevel algebraic error estimator and the corresponding iterative solver with $$p$$-robust behavior. Zbl 1451.65222
Miraçi, Ani; Papež, Jan; Vohralík, Martin
2020
A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer. Zbl 1434.80015
Gosse, Laurent; Vauchelet, Nicolas
2020
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions. Zbl 07190350
Kopteva, Natalia; Meng, Xiangyun
2020
An $$L1$$ approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. Zbl 1434.65129
Mustapha, Kassem
2020
Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. Zbl 07210680
Henning, Patrick; Peterseim, Daniel
2020
Sharp uniform convergence rate of the supercell approximation of a crystalline defect. Zbl 07154066
Braun, Julian; Ortner, Christoph
2020
A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in two-dimensional nonsmooth and nonconvex domains. Zbl 1432.76162
Li, Buyang; Wang, Jilu; Xu, Liwei
2020
A multipoint stress mixed finite element method for elasticity on simplicial grids. Zbl 1451.65181
Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan
2020
A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. Zbl 1439.35368
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
2020
Uncertainty quantification using periodic random variables. Zbl 07184150
Kaarnioja, V.; Kuo, F. Y.; Sloan, I. H.
2020
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
2020
Stable high order quadrature rules for scattered data and general weight functions. Zbl 07236289
Glaubitz, Jan
2020
Sparse compression of expected solution operators. Zbl 07275252
Feischl, Michael; Peterseim, Daniel
2020
Discretization of linear problems in Banach spaces: residual minimization, nonlinear Petrov-Galerkin, and monotone mixed methods. Zbl 1457.65024
Muga, Ignacio; van der Zee, Kristoffer G.
2020
FEAST for differential eigenvalue problems. Zbl 1439.65088
Horning, Andrew; Townsend, Alex
2020
A unified error analysis of hybridizable discontinuous Galerkin methods for the static Maxwell equations. Zbl 1434.65227
Du, Shukai; Sayas, Francisco-Javier
2020
FETI-DP for the three dimensional virtual element method. Zbl 1440.65183
Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
2020
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows. Zbl 1450.65129
Rubino, Samuele
2020
Discontinuous Galerkin methods for nonlinear scalar conservation laws: generalized local Lax-Friedrichs numerical fluxes. Zbl 1436.65142
Li, Jia; Zhang, Dazhi; Meng, Xiong; Wu, Boying; Zhang, Qiang
2020
Computation of the LBB constant for the Stokes equation with a least-squares finite element method. Zbl 1437.76024
Storn, Johannes
2020
High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116
Droniou, Jerome; Eymard, Robert
2020
A sequential least squares method for Poisson equation using a patch reconstructed space. Zbl 1432.65170
Li, Ruo; Yang, Fanyi
2020
Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes equations. Zbl 1448.76066
Sonner, Florian; Richter, Thomas
2020
Extrinsic meshless collocation methods for PDEs on manifolds. Zbl 1435.65216
Chen, Meng; Ling, Leevan
2020
A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206
Wang, Chunmei; Wang, Junping
2020
A convergent entropy diminishing finite volume scheme for a cross-diffusion system. Zbl 1450.65094
Cancès, Clément; Gaudeul, Benoît
2020
A minimal stabilization procedure for isogeometric methods on trimmed geometries. Zbl 1453.65403
Buffa, A.; Puppi, R.; Vázquez, R.
2020
A divergence-conforming finite element method for the surface Stokes equation. Zbl 1451.65184
Bonito, Andrea; Demlow, Alan; Licht, Martin
2020
Contractivity of Runge-Kutta methods for convex gradient systems. Zbl 1451.65092
Sanz Serna, J. M.; Zygalakis, K. C.
2020
New stability estimates for an unfitted finite element method for two-phase Stokes problem. Zbl 1467.65106
Cáceres, Ernesto; Guzmán, Johnny; Olshanskii, Maxim
2020
Generalized spectrum of second order differential operators. Zbl 1452.65066
Gergelits, Tomáš; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk
2020
The Hellan-Herrmann-Johnson method with curved elements. Zbl 1451.65182
Arnold, Douglas N.; Walker, Shawn W.
2020
Error estimate of the fourth-order Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1452.65256
Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang
2020
A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators. Zbl 1451.65199
Lederer, Philip L.; Rhebergen, Sander
2020
Unified analysis of periodization-based sampling methods for Matérn covariances. Zbl 07267942
Bachmayr, Markus; Graham, Ivan G.; Nguyen, Van Kien; Scheichl, Robert
2020
Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations. Zbl 07267944
Andò, Alessia; Breda, Dimitri
2020
Approximate deconvolution with correction: a member of a new class of models for high Reynolds number flows. Zbl 07267946
Labovsky, Alexander E.
2020
High-order time stepping schemes for semilinear subdiffusion equations. Zbl 1452.65252
Wang, Kai; Zhou, Zhi
2020
New proper orthogonal decomposition approximation theory for PDE solution data. Zbl 1453.65114
Locke, Sarah; Singler, John
2020
Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003
Bartels, Sören
2020
Energy stability of explicit Runge-Kutta methods for nonautonomous or nonlinear problems. Zbl 1457.65032
Ranocha, Hendrik; Ketcheson, David I.
2020
Convergence in $$\ell_2$$ and $$\ell_\infty$$ norm of one-stage AMF-W-methods for parabolic problems. Zbl 1436.65129
González-Pinto, S.; Hairer, E.; Hernandez-Abreu, Domingo
2020
Mean dimension of ridge functions. Zbl 07190349
Hoyt, Christopher R.; Owen, Art B.
2020
A uniformly robust $$H(\operatorname{div})$$ weak Galerkin finite element method for Brinkman problems. (A uniformly robust $$H(\operatorname{div})$$ weak Galerkin finite element methods for Brinkman problems.) Zbl 1434.65271
Mu, Lin
2020
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. Zbl 1440.65180
Behringer, Niklas; Leykekhman, Dmitriy; Vexler, Boris
2020
Error estimates of semidiscrete and fully discrete finite element methods for the Cahn-Hilliard-cook equation. Zbl 07210675
Qi, Ruisheng; Wang, Xiaojie
2020
A dual finite element method for a singularly perturbed reaction-diffusion problem. Zbl 1440.65188
Cai, Zhiqiang; Ku, JaEun
2020
Brezzi-Douglas-Marini interpolation of any order on anisotropic triangles and tetrahedra. Zbl 07210678
Apel, Thomas; Kempf, Volker
2020
Computation of sum of squares polynomials from data points. Zbl 1456.90121
Després, Bruno; Herda, Maxime
2020
Adaptive edge element approximation for $$H(\mathrm{curl})$$ elliptic variational inequalities of second kind. Zbl 1447.78016
Winckler, Malte; Yousept, Irwin; Zou, Jun
2020
A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle. Zbl 1447.65171
Gutleb, Timon S.; Olver, Sheehan
2020
A skeletal finite element method can compute lower eigenvalue bounds. Zbl 07154059
Carstensen, Carsten; Zhai, Qilong; Zhang, Ran
2020
Two-level Galerkin mixed finite element method for Darcy-Forchheimer model in porous media. Zbl 1443.76151
Fairag, Faisal A.; Audu, Johnson D.
2020
On parareal algorithms for semilinear parabolic stochastic PDEs. Zbl 1428.60096
Brehier, Charles-Edouard; Wang, Xu
2020
Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 07154067
Müller, Stefan; Schweiger, Florian; Süli, Endre
2020
A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation. Zbl 1434.76070
Khan, Arbaz; Kanschat, Guido
2020
Positive and asymptotic preserving approximation of the radiation transport equation. Zbl 1447.65142
Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean
2020
Discrete transparent boundary conditions for the linearized Green-Naghdi system of equations. Zbl 1434.65121
Kazakova, Maria; Noble, Pascal
2020
Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains. Zbl 1434.65256
Griebel, Michael; Harbrecht, Helmut; Multerer, Michael D.
2020
Optimal mesh size for inverse medium scattering problems. Zbl 1431.65249
Ammari, Habib; Chow, Yat Tin; Liu, Keji
2020
Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. Zbl 1434.76065
Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre
2020
Convergence of Dziuk’s linearly implicit parametric finite element method for curve shortening flow. Zbl 1452.65240
2020
A unified probabilistic discretization scheme for FBSDEs: stability, consistency, and convergence analysis. Zbl 1454.60106
Yang, Jie; Zhao, Weidong; Zhou, Tao
2020
A priori error analysis of local incremental minimization schemes for rate-independent evolutions. Zbl 1462.65056
Meyer, Christian; Sievers, Michael
2020
On leapfrog-Chebyshev schemes. Zbl 1454.65046
Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas
2020
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. Zbl 1452.65167
Li, Xiaoli; Shen, Jie
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
2020
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations. Zbl 1451.65117
Cancès, Clément; Chainais-Hillairet, Claire; Herda, Maxime; Krell, Stella
2020
A discrete Grönwall inequality with applications to numerical schemes for subdiffusion problems. Zbl 1414.65008
Liao, Hong-lin; McLean, William; Zhang, Jiwei
2019
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#### Cited by 43,390 Authors

 184 Dehghan Takht Fooladi, Mehdi 184 Shu, Chi-Wang 153 He, Yinnian 149 Argyros, Ioannis Konstantinos 122 Carstensen, Carsten 121 Schwab, Christoph 112 Shi, Dongyang 104 Huang, Yunqing 103 Chen, Yanping 102 Zhang, Zhimin 96 Cockburn, Bernardo 95 Liu, Fawang 95 Wang, Hong 93 Gatica, Gabriel N. 93 Gunzburger, Max D. 92 Wheeler, Mary Fanett 90 Evans, David John 88 Babuška, Ivo 87 Quarteroni, Alfio M. 86 Jackiewicz, Zdzislaw 85 Shen, Jie 84 Simos, Theodore E. 83 Du, Qiang 83 Rui, Hongxing 83 Wei, Yimin 81 Huang, Ting-Zhu 80 Axelsson, Axel Owe Holger 79 Burman, Erik 78 Beirão da Veiga, Lourenço 77 Nochetto, Ricardo Horacio 76 Brenner, Susanne Cecelia 76 Karniadakis, George Em 76 Wohlmuth, Barbara I. 75 Demkowicz, Leszek F. 75 Feng, Xinlong 74 Bai, Zhongzhi 74 Guo, Ben-Yu 74 Hughes, Thomas J. R. 73 Dumbser, Michael 73 Gander, Martin Jakob 72 Li, Jichun 71 Chung, Tsz Shun Eric 71 Hou, Yanren 71 Huang, Chengming 71 Xu, Jinchao 69 Codina, Ramon 69 Ern, Alexandre 69 Sloan, Ian Hugh 68 Zhang, Shangyou 67 Burrage, Kevin 67 Chen, Zhangxin 67 Martínez, José Mario 67 Praetorius, Dirk 67 Turner, Ian William 65 Stephan, Ernst Peter 64 Lubich, Christian 64 Nicaise, Serge 64 Wu, Xinyuan 63 Petković, Miodrag S. 63 Rebholz, Leo G. 63 Ye, Xiu 62 Wang, Cheng 61 Guermond, Jean-Luc 61 Luo, Zhendong 61 Sun, Zhizhong 60 Larson, Mats G. 60 Nordström, Jan 60 Sun, Shuyu 59 Jin, Shi 59 Osher, Stanley Joel 58 Han, Weimin 58 Serra-Capizzano, Stefano 58 Yang, Xiaofeng 57 Dick, Josef 57 Li, Hong 57 Weiner, Rüdiger 57 Xu, Da 57 Zhu, Detong 56 Reichel, Lothar 55 Amat, Sergio P. 55 Li, Zhilin 54 Li, Jian 54 Li, Zi-Cai 54 Maday, Yvon 53 Boyd, John Philip 53 Brunner, Hermann 53 Hansbo, Peter 53 Harbrecht, Helmut 53 Heuer, Norbert 53 Jiang, Yaolin 53 Layton, William J. 53 Lin, Yanping 53 Vohralík, Martin 52 Sayas, Francisco-Javier 52 Stynes, Martin 51 Ainsworth, Mark 51 Di Pietro, Daniele Antonio 51 Mei, Liquan 51 Pani, Amiya Kumar 51 Yuan, Yirang ...and 43,290 more Authors
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 4,067 Journal of Computational Physics 3,715 Journal of Computational and Applied Mathematics 2,583 Computer Methods in Applied Mechanics and Engineering 2,434 Applied Mathematics and Computation 2,083 Applied Numerical Mathematics 2,038 Computers & Mathematics with Applications 1,872 Journal of Scientific Computing 1,798 Numerische Mathematik 1,600 Mathematics of Computation 1,007 Linear Algebra and its Applications 993 SIAM Journal on Scientific Computing 967 Numerical Algorithms 791 BIT 789 International Journal of Computer Mathematics 757 SIAM Journal on Numerical Analysis 738 Computers and Fluids 729 Journal of Mathematical Analysis and Applications 621 Numerical Methods for Partial Differential Equations 572 Computing 559 International Journal for Numerical Methods in Engineering 522 Journal of Optimization Theory and Applications 480 Journal of Approximation Theory 474 Advances in Computational Mathematics 449 Numerical Functional Analysis and Optimization 434 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 402 Applied Mathematics Letters 379 Engineering Analysis with Boundary Elements 370 Calcolo 360 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 350 Computational Optimization and Applications 349 Mathematics and Computers in Simulation 347 Applied Mathematical Modelling 308 International Journal for Numerical Methods in Fluids 303 Computational Mechanics 276 Numerical Linear Algebra with Applications 274 Mathematical Programming. Series A. Series B 253 Applicable Analysis 243 Mathematical Problems in Engineering 242 Computational and Applied Mathematics 232 Mathematical Methods in the Applied Sciences 226 Journal of Fluid Mechanics 219 Optimization Methods & Software 217 Journal of Differential Equations 213 Computational Geosciences 209 Journal of Complexity 205 Mathematical and Computer Modelling 193 Computer Aided Geometric Design 192 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 190 Abstract and Applied Analysis 185 Inverse Problems 182 Optimization 176 SIAM Journal on Matrix Analysis and Applications 172 Multiscale Modeling & Simulation 168 Japan Journal of Industrial and Applied Mathematics 167 Physica D 166 Communications in Nonlinear Science and Numerical Simulation 163 Journal of Applied Mathematics and Computing 162 Journal of Integral Equations and Applications 159 RAIRO. Modélisation Mathématique et Analyse Numérique 155 Journal of Global Optimization 154 Comptes Rendus. Mathématique. Académie des Sciences, Paris 152 Applied and Computational Harmonic Analysis 149 Computational Methods in Applied Mathematics 145 Applications of Mathematics 144 Foundations of Computational Mathematics 144 Discrete and Continuous Dynamical Systems. Series B 142 Automatica 142 Applied Mathematics and Mechanics. (English Edition) 141 SIAM Journal on Optimization 139 Computer Physics Communications 135 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 135 SIAM/ASA Journal on Uncertainty Quantification 130 Science China. Mathematics 124 Acta Mathematicae Applicatae Sinica. English Series 123 Communications in Numerical Methods in Engineering 118 Mathematical Programming 118 Advances in Difference Equations 117 BIT. Nordisk Tidskrift for Informationsbehandling 115 Journal of Applied Mathematics 112 Journal of Numerical Mathematics 111 Journal of Mathematical Imaging and Vision 110 Archive for Rational Mechanics and Analysis 110 Applied Mathematics and Optimization 108 East Asian Journal on Applied Mathematics 104 Inverse Problems in Science and Engineering 102 European Journal of Operational Research 101 SIAM Journal on Control and Optimization 100 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 100 Journal of Inverse and Ill-Posed Problems 99 Nonlinear Analysis. Theory, Methods & Applications 93 Constructive Approximation 91 ZAMP. Zeitschrift für angewandte Mathematik und Physik 89 SIAM Journal on Mathematical Analysis 89 Nonlinear Analysis. Real World Applications 89 SIAM Journal on Imaging Sciences 87 International Journal of Control 87 Journal of Mathematical Physics 86 Wave Motion 86 Computational Statistics and Data Analysis 85 Journal of Mathematical Chemistry ...and 894 more Journals
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#### Cited in 63 Fields

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