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IMA Journal of Numerical Analysis

Short Title: IMA J. Numer. Anal.
Publisher: Oxford University Press, Oxford
ISSN: 0272-4979; 1464-3642/e
Online: https://academic.oup.com/imajna/issue
Predecessor: Journal of the Institute of Mathematics and its Applications
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 2,099 Publications (since 1981)
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Latest Issues

43, No. 6 (2023)
43, No. 5 (2023)
43, No. 4 (2023)
43, No. 3 (2023)
43, No. 2 (2023)
43, No. 1 (2023)
42, No. 4 (2022)
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20, No. 1 (2000)
19, No. 4 (1999)
19, No. 3 (1999)
...and 51 more Volumes
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Authors

26 Barrett, John William
25 Elliott, Charles M.
25 Iserles, Arieh
16 Süli, Endre E.
14 Sanz-Serna, Jesús María
13 Pani, Amiya Kumar
12 Bernardi, Christine
12 Brunner, Hermann
12 Eymard, Robert
12 Lubich, Christian
12 Powell, Michael James David
12 Sloan, Ian Hugh
12 Stynes, Martin Joseph
11 Gatica, Gabriel N.
11 Graham, Ivan G.
11 Li, Buyang
10 Herbin, Raphaèle
10 Kovacs, Balazs A.
10 Melenk, Jens Markus
9 Atkinson, Kendall Eugene
9 Carstensen, Carsten
9 Cockburn, Bernardo
9 Droniou, Jérôme
9 Ern, Alexandre
9 Georgoulis, Emmanuil H.
9 Heuer, Norbert
9 Higham, Nicholas J.
9 Meddahi, Salim
9 Nicaise, Serge
9 Schwab, Christoph
9 Watson, G. Alistair
9 Yuan, Ya-xiang
8 Banjai, Lehel
8 Burman, Erik
8 Higham, Desmond J.
8 Jin, Bangti
8 Nørsett, Syvert Paul
8 Nürnberg, Robert
8 Ostermann, Alexander
8 Prohl, Andreas
8 Rodríguez, Rodolfo
8 Sayas, Francisco-Javier
8 Schötzau, Dominik
8 van der Houwen, Pieter J.
7 Akrivis, Georgios D.
7 Bartels, Sören
7 Fairweather, Graeme
7 García-Archilla, Bosco
7 Garcke, Harald
7 Guzmán, Johnny
7 Hill, Adrian T.
7 Houston, Paul
7 Karlsen, Kenneth Hvistendahl
7 Nataraj, Neela
7 Osborne, Michael Robert
7 Praetorius, Dirk
7 Sauter, Stefan
7 Stevenson, Rob P.
7 Wohlmuth, Barbara I.
6 Ainsworth, Mark
6 Araya, Rodolfo A.
6 Buhmann, Martin Dietrich
6 Chainais-Hillairet, Claire
6 Chandler-Wilde, Simon N.
6 Dai, Yu-Hong
6 Forsyth, Peter A.
6 Gallouët, Thierry
6 Girault, Vivette
6 Grohs, Philipp
6 Hackbusch, Wolfgang
6 Han, Weimin
6 Hong, Jialin
6 Huybrechs, Daan
6 Levin, David N.
6 Maday, Yvon
6 Makridakis, Charalambos G.
6 McKee, Sean
6 Meerbergen, Karl
6 Monegato, Giovanni
6 Moore, Gerald
6 Mora, David
6 Morton, Keith William
6 Mustapha, Kassem
6 Novo, Julia
6 Phillips, Timothy
6 Qiu, Weifeng
6 Schöberl, Joachim
6 Sommeijer, Ben P.
6 Tobiska, Lutz
6 Toint, Philippe Louis
6 Tretyakov, Michael V.
6 Wathen, Andrew John
6 Zhang, Zhimin
5 Andreani, Roberto
5 Antil, Harbir
5 Apel, Thomas
5 Bai, Zhongzhi
5 Baker, Christopher Thomas Hale
5 Barrenechea, Gabriel R.
5 Bermúdez, Alfredo
...and 2,518 more Authors
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Fields

1,943 Numerical analysis (65-XX)
691 Partial differential equations (35-XX)
234 Fluid mechanics (76-XX)
187 Ordinary differential equations (34-XX)
151 Approximations and expansions (41-XX)
110 Integral equations (45-XX)
98 Operations research, mathematical programming (90-XX)
94 Mechanics of deformable solids (74-XX)
69 Probability theory and stochastic processes (60-XX)
66 Calculus of variations and optimal control; optimization (49-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
53 Optics, electromagnetic theory (78-XX)
47 Operator theory (47-XX)
42 Dynamical systems and ergodic theory (37-XX)
33 Classical thermodynamics, heat transfer (80-XX)
31 Statistical mechanics, structure of matter (82-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
25 Functions of a complex variable (30-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Special functions (33-XX)
20 Biology and other natural sciences (92-XX)
19 Real functions (26-XX)
18 Quantum theory (81-XX)
16 Potential theory (31-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Statistics (62-XX)
13 Computer science (68-XX)
11 Integral transforms, operational calculus (44-XX)
10 Differential geometry (53-XX)
9 Systems theory; control (93-XX)
8 Mechanics of particles and systems (70-XX)
8 Information and communication theory, circuits (94-XX)
7 Geophysics (86-XX)
6 Topological groups, Lie groups (22-XX)
5 Combinatorics (05-XX)
5 Functional analysis (46-XX)
5 Astronomy and astrophysics (85-XX)
4 History and biography (01-XX)
4 Number theory (11-XX)
4 Sequences, series, summability (40-XX)
3 Difference and functional equations (39-XX)
3 Abstract harmonic analysis (43-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Relativity and gravitational theory (83-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)

Publications by Year

Citations contained in zbMATH Open

1,884 Publications have been cited 29,672 times in 21,274 Documents Cited by Year
Two-point step size gradient methods. Zbl 0638.65055
Barzilai, Jonathan; Borwein, Jonathan M.
754
1988
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
295
2007
A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056
Zhang, Li; Zhou, Weijun; Li, Donghui
231
2006
Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
195
1987
Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006
Wu, Zong-Min; Schaback, Robert
194
1993
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144
Eymard, R.; Gallouët, T.; Herbin, R.
193
2010
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
192
2016
Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063
Al-Baali, M.
188
1985
Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036
Higham, Nicholas J.
176
2002
On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045
Raydan, Marcos
169
1993
Finite elements on evolving surfaces. Zbl 1120.65102
Dziuk, G.; Elliott, C. M.
164
2007
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi
155
2013
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
155
2017
\(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052
Coleman, John P.; Ixaru, Liviu Gr.
149
1996
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
146
2005
\(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069
Dai, Yuhong; Liao, Li-Zhi
144
2002
Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072
Coleman, John P.
139
1989
A new approach to variable selection in least squares problems. Zbl 0962.65036
Osborne, M. R.; Presnell, Brett; Turlach, B. A.
138
2000
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
128
2015
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
126
2012
Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002
Adler, Roy L.; Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub, Mike
122
2002
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
122
2008
The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080
Beyn, W.-J.
117
1990
The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016
Higham, Nicholas J.
112
2004
Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405
D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R.
108
2005
Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017
Hammarling, S. J.
107
1982
Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021
Olver, Sheehan
106
2006
Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070
Akrivis, Georgios D.
102
1993
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
Todor, Radu Alexandru; Schwab, Christoph
100
2007
A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332
Wang, Song
99
2004
Stability and convergence of a second-order mixed finite element method for the Cahn-Hilliard equation. Zbl 1433.80005
Diegel, Amanda E.; Wang, Cheng; Wise, Steven M.
97
2016
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074
Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo
93
2009
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
90
2014
Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057
Cooper, G. J.
88
1987
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
88
1987
A conforming mixed finite element method for the coupling of fluid flow with porous media flow. Zbl 1157.76025
Gatica, Gabriel N.; Meddahi, Salim; Oyarzúa, Ricardo
86
2009
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
86
1986
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
86
2003
Product approximation for non-linear problems in the finite element method. Zbl 0469.65072
Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Sanz-Serna, J. M.
84
1981
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
84
1997
Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022
Hill, Adrian T.; Süli, Endre
84
2000
Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
84
2003
Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057
Wang, Xinghua
80
2000
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
78
2015
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
78
1987
A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047
Li, Qingna; Li, Dong-Hui
75
2011
Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007
Powell, Catherine E.; Elman, Howard C.
74
2009
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022
Chan, Raymond H.
74
1991
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann
74
2011
The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056
Liu, M. Z.; Spijker, M. N.
73
1990
Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037
Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio
72
2003
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071
Cáceres, Ernesto; Gatica, Gabriel N.
72
2017
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
71
2015
A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039
Yuan, Yaxiang
71
1991
Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080
Coleman, John P.
71
2003
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
69
2006
High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
69
1987
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
68
1983
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
Madden, Niall; Stynes, Martin
68
2003
High-accuracy P-stable methods for \(y''=f(t,y)\). Zbl 0573.65059
Chawla, M. M.; Rao, P. S.
67
1985
Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
66
2014
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110
Eymard, R.; Gallouët, T.; Herbin, R.
65
2006
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
65
2002
The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014
Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel
64
2016
Conforming and divergence-free Stokes elements in three dimensions. Zbl 1305.76056
Guzmán, Johnny; Neilan, Michael
62
2014
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
62
2011
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
62
1988
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
62
2004
A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar
62
2003
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
62
2004
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
60
2004
Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013
Wendland, Holger
59
2001
Solving linear partial differential equations by exponential splitting. Zbl 0676.65116
Sheng, Q.
59
1989
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
59
2012
An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091
Mustapha, Kassem
58
2011
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
58
1993
Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053
Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R.
58
2003
A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133
Egger, Herbert; Schöberl, Joachim
57
2010
Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010
Lord, Gabriel J.; Tambue, Antoine
57
2013
A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097
Stynes, Martin; Gracia, José Luis
57
2015
Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. I: Linear version. Zbl 1296.65144
Wu, Haijun
57
2014
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
57
2000
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078
Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R.
57
1998
\(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
56
2002
Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093
Ganesh, M.; Joshi, M. C.
56
1991
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079
Simos, T. E.
56
2001
Finite element analysis for a coupled bulk-surface partial differential equation. Zbl 1271.65138
Elliott, Charles M.; Ranner, Thomas
55
2013
Compact embeddings of broken Sobolev spaces and applications. Zbl 1181.65094
Buffa, Annalisa; Ortner, Christoph
55
2009
Weak Galerkin method for the coupled Darcy-Stokes flow. Zbl 1433.76075
Chen, Wenbin; Wang, Fang; Wang, Yanqiu
55
2016
A second elasticity element using the matrix bubble. Zbl 1232.74101
Gopalakrishnan, J.; Guzmán, J.
55
2012
The discrete collocation method for nonlinear integral equations. Zbl 0771.65090
Atkinson, K.; Flores, J.
54
1993
Discontinuous Galerkin methods for the biharmonic problem. Zbl 1176.65134
Georgoulis, Emmanuil H.; Houston, Paul
54
2009
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
54
1988
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
54
1983
Conservative upwind finite-element method for a simplified Keller-Segel system modelling chemotaxis. Zbl 1119.65094
Saito, Norikazu
53
2007
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
53
1995
Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049
Dai, Y. H.; Yuan, Y.
53
1996
Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052
Li, Chong; Wang, Jinhua
52
2006
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
52
2009
The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114
Atkinson, K. E.
52
1985
Estimates on the generalization error of physics-informed neural networks for approximating PDEs. Zbl 07658042
Mishra, Siddhartha; Molinaro, Roberto
12
2023
Interpolation and stability properties of low-order face and edge virtual element spaces. Zbl 07673874
Beirão da Veiga, L.; Mascotto, L.
9
2023
Stabilization parameter analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. Zbl 07673883
Li, Xiao; Qiao, Zhonghua; Wang, Cheng
4
2023
Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions. Zbl 07673870
Boffi, Daniele; Guzmán, Johnny; Neilan, Michael
4
2023
Fast mass lumped multiscale wave propagation modelling. Zbl 07658043
Geevers, Sjoerd; Maier, Roland
3
2023
Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions. Zbl 1509.65070
Coulombel, Jean-François; Faye, Grégory
3
2023
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds. Zbl 1508.65065
Hoseini Monjezi, Najmeh; Nobakhtian, Soghra; Pouryayevali, Mohamad Reza
3
2023
Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements. Zbl 1508.65057
Harrach, Bastian; Jahn, Tim; Potthast, Roland
3
2023
From ESPRIT to ESPIRA: estimation of signal parameters by iterative rational approximation. Zbl 07673873
Derevianko, Nadiia; Plonka, Gerlind; Petz, Markus
3
2023
Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables. Zbl 1527.65005
Li, Yun; Mao, Xuerong; Song, Qingshuo; Wu, Fuke; Yin, George
3
2023
Exact and inexact Douglas-Rachford splitting methods for solving large-scale sparse absolute value equations. Zbl 1518.65049
Chen, Cairong; Yu, Dongmei; Han, Deren
3
2023
Approximation of fractional harmonic maps. Zbl 07726034
Antil, Harbir; Bartels, Sören; Schikorra, Armin
3
2023
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. Zbl 07726039
Hu, Jingwei; Zhang, Xiangxiong
3
2023
Tangential errors of tensor surface finite elements. Zbl 07726042
Hardering, Hanne; Praetorius, Simon
3
2023
Construction and application of provable positive and exact cubature formulas. Zbl 07726044
Glaubitz, Jan
3
2023
Mixed precision low-rank approximations and their application to block low-rank LU factorization. Zbl 1525.65038
Amestoy, Patrick; Boiteau, Olivier; Buttari, Alfredo; Gerest, Matthieu; Jézéquel, Fabienne; L’Excellent, Jean-Yves; Mary, Theo
3
2023
Long time behavior of finite volume discretization of symmetrizable linear hyperbolic systems. Zbl 1521.65082
Jung, Jonathan; Perrier, Vincent
2
2023
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems. Zbl 1511.65092
Jüngel, Ansgar; Zurek, Antoine
2
2023
Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions. Zbl 07673878
Altmann, Robert; Kovács, Balázs; Zimmer, Christoph
2
2023
Solving time-fractional differential equations via rational approximation. Zbl 07726033
Khristenko, Ustim; Wohlmuth, Barbara
2
2023
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision. Zbl 07726036
Croci, M.; Giles, M. B.
2
2023
Mixed virtual element method for the Helmholtz transmission eigenvalue problem on polytopal meshes. Zbl 07726046
Meng, Jian; Wang, Gang; Mei, Liquan
2
2023
Complexity of sparse polynomial solving. II: Renormalization. Zbl 1522.65074
Malajovich, Gregorio
2
2023
Optimal rates of convergence and error localization of Gegenbauer projections. Zbl 1525.65015
Wang, Haiyong
2
2023
Uniform convergence rates for Lipschitz learning on graphs. Zbl 07726068
Bungert, Leon; Calder, Jeff; Roith, Tim
2
2023
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition. Zbl 07800834
Bai, Genming; Li, Buyang; Wu, Yifei
2
2023
Randomized sparse grid algorithms for multivariate integration on Haar wavelet spaces. Zbl 1508.65016
Wnuk, M.; Gnewuch, M.
1
2023
A consistent quasi-second-order staggered scheme for the two-dimensional shallow water equations. Zbl 1511.65091
Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas
1
2023
A discontinuous Galerkin coupling for nonlinear elasto-acoustics. Zbl 1512.65215
Muhr, Markus; Wohlmuth, Barbara; Nikolić, Vanja
1
2023
On the approximation of dispersive electromagnetic eigenvalue problems in two dimensions. Zbl 07658057
Halla, Martin
1
2023
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel. Zbl 1511.92023
Gwiazda, Piotr; Miasojedow, Błażej; Skrzeczkowski, Jakub; Szymańska, Zuzanna
1
2023
Multiple projection Markov chain Monte Carlo algorithms on submanifolds. Zbl 07673872
Lelièvre, Tony; Stoltz, Gabriel; Zhang, Wei
1
2023
Fully discrete best-approximation-type estimates in \(L^\infty(I; L^2(\Omega)^d)\) for finite element discretizations of the transient Stokes equations. Zbl 07673875
Behringer, Niklas; Vexler, Boris; Leykekhman, Dmitriy
1
2023
Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis. Zbl 07673876
Annese, Michele; Fernández, Miguel A.; Gastaldi, Lucia
1
2023
Adaptive regularization minimization algorithms with nonsmooth norms. Zbl 07673877
Gratton, S.; Toint, Ph L.
1
2023
Numerical solution of an \(\boldsymbol{H}(\mathbf{curl})\)-elliptic hemivariational inequality. Zbl 07673879
Han, Weimin; Ling, Min; Wang, Fei
1
2023
Two-point Landweber-type method with convex penalty terms for nonsmooth nonlinear inverse problems. Zbl 07673884
Fu, Zhenwu; Wang, Wei; Han, Bo; Chen, Yong
1
2023
Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule. Zbl 07673885
Maier, Bernhard
1
2023
Numerical analysis of the LDG method for large deformations of prestrained plates. Zbl 07673869
Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo
1
2023
Error estimates for finite differences approximations of the total variation. Zbl 1516.65013
Caillaud, Corentin; Chambolle, Antonin
1
2023
Approximation of SPDE covariance operators by finite elements: a semigroup approach. Zbl 1521.65010
Kovács, Mihály; Lang, Annika; Petersson, Andreas
1
2023
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints. Zbl 07726040
Casas, Eduardo; Kunisch, Karl; Mateos, Mariano
1
2023
Fast global spectral methods for three-dimensional partial differential equations. Zbl 07726041
Strössner, Christoph; Kressner, Daniel
1
2023
A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space. Zbl 07726045
Deng, Kangkang; Peng, Zheng
1
2023
A \(C^0\) finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. Zbl 07726049
Li, Hengguang; Yin, Peimeng; Zhang, Zhimin
1
2023
Solvability of discrete Helmholtz equations. Zbl 07726050
Bernkopf, Maximilian; Sauter, Stefan; Torres, Céline; Veit, Alexander
1
2023
Inexact Newton-CG algorithms with complexity guarantees. Zbl 1525.65056
Yao, Zhewei; Xu, Peng; Roosta, Fred; Wright, Stephen J.; Mahoney, Michael W.
1
2023
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. Zbl 07726053
Bootland, Niall; Dolean, Victorita; Graham, Ivan G.; Ma, Chupeng; Scheichl, Robert
1
2023
Multilevel representations of isotropic Gaussian random fields on the sphere. Zbl 07726055
Bachmayr, Markus; Djurdjevac, Ana
1
2023
A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. Zbl 1529.65078
Mustapha, Kassem; Knio, Omar M.; Le Maître, Olivier P.
1
2023
On convergence of numerical solutions for the compressible MHD system with weakly divergence-free magnetic field. Zbl 07726059
Li, Yang; She, Bangwei
1
2023
Infinite-order accuracy limit of finite difference formulas in the complex plane. Zbl 07800829
Fornberg, Bengt
1
2023
Low regularity exponential-type integrators for the “good” Boussinesq equation. Zbl 07800845
Li, Hang; Su, Chunmei
1
2023
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs. Zbl 07524707
Mishra, Siddhartha; Molinaro, Roberto
49
2022
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 1493.65168
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
31
2022
Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020
dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig
21
2022
Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. Zbl 1502.65130
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
18
2022
Automatic rational approximation and linearization of nonlinear eigenvalue problems. Zbl 1514.65063
Lietaert, Pieter; Meerbergen, Karl; Pérez, Javier; Vandereycken, Bart
18
2022
Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. Zbl 1523.65093
Frerichs, Derk; Merdon, Christian
12
2022
Uniform error estimates for artificial neural network approximations for heat equations. Zbl 1502.65171
Gonon, Lukas; Grohs, Philipp; Jentzen, Arnulf; Kofler, David; Šiška, David
12
2022
The time-fractional Cahn-Hilliard equation: analysis and approximation. Zbl 1497.65158
Al-Maskari, Mariam; Karaa, Samir
12
2022
Optimal convergence of a second-order low-regularity integrator for the KdV equation. Zbl 07607705
Wu, Yifei; Zhao, Xiaofei
10
2022
Numerical methods for stochastic Volterra integral equations with weakly singular kernels. Zbl 1508.65004
Li, Min; Huang, Chengming; Hu, Yaozhong
10
2022
Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal \(hp\) approximation estimates in \(\boldsymbol{H}(\operatorname{div})\). Zbl 1517.65108
Ern, Alexandre; Gudi, Thirupathi; Smears, Iain; Vohralík, Martin
10
2022
A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 1515.65030
Müller-Gronbach, Thomas; Yaroslavtseva, Larisa
9
2022
Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204
Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming
9
2022
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions. Zbl 1502.65264
Grohs, Philipp; Herrmann, Lukas
8
2022
Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients. Zbl 1501.65109
Dedner, Andreas; Hodson, Alice
8
2022
Consistency, convergence and error estimates for a mixed finite element-finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data. Zbl 07465494
Kwon, Young-Sam; Novotný, Antonín
7
2022
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. Zbl 1502.65147
von Wahl, Henry; Richter, Thomas; Lehrenfeld, Christoph
7
2022
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model. Zbl 1493.65157
Li, Yuwen; Zikatanov, Ludmil T.
6
2022
Log orthogonal functions: approximation properties and applications. Zbl 1481.65037
Chen, Sheng; Shen, Jie
6
2022
A \(C^1\)-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery. Zbl 1500.65097
Mora, David; Reales, Carlos; Silgado, Alberth
6
2022
An HDG method for dissimilar meshes. Zbl 1501.65127
Solano, Manuel; Terrana, Sébastien; Nguyen, Ngoc-Cuong; Peraire, Jaime
6
2022
An \(L^p\) spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations. Zbl 1512.65209
Gatica, Gabriel N.; Meddahi, Salim; Ruiz-Baier, Ricardo
5
2022
Error estimates for fully discrete BDF finite element approximations of the Allen-Cahn equation. Zbl 07465501
Akrivis, Georgios; Li, Buyang
5
2022
The Scharfetter-Gummel scheme for aggregation-diffusion equations. Zbl 1503.65204
Schlichting, André; Seis, Christian
5
2022
Consistency analysis of the Grünwald-Letnikov approximation in a bounded domain. Zbl 1514.65082
Sousa, Ercília
5
2022
Solving block low-rank linear systems by LU factorization is numerically stable. Zbl 1511.65024
Higham, Nicholas J.; Mary, Theo
5
2022
Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces. Zbl 1500.65019
Borsos, B.; Karátson, J.
5
2022
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. Zbl 1529.65137
Banjai, Lehel; Lubich, Christian; Nick, Jörg
4
2022
Space-time discretization for nonlinear parabolic systems with \(p\)-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
4
2022
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
4
2022
Robust multigrid methods for nearly incompressible elasticity using macro elements. Zbl 1517.65109
Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian
4
2022
A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem. Zbl 1502.65182
Wang, Gang; Meng, Jian; Wang, Ying; Mei, Liquan
4
2022
Error analysis for space discretizations of quasilinear wave-type equations. Zbl 1503.65230
Hochbruck, Marlis; Maier, Bernhard
4
2022
Anisotropic a posteriori error estimate for the virtual element method. Zbl 1501.65101
Antonietti, P. F.; Berrone, S.; Borio, A.; D’Auria, A.; Verani, M.; Weisser, S.
4
2022
First order least-squares formulations for eigenvalue problems. Zbl 1501.65096
Bertrand, Fleurianne; Boffi, Daniele
4
2022
Derivative-free high-order uniformly accurate schemes for highly oscillatory systems. Zbl 1500.65036
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
4
2022
Galerkin approximation of linear problems in Banach and Hilbert spaces. Zbl 1515.65125
Arendt, W.; Chalendar, I.; Eymard, R.
3
2022
Variational convergence of discrete elasticae. Zbl 07465499
Scholtes, Sebastian; Schumacher, Henrik; Wardetzky, Max
3
2022
Error bounds for overdetermined and underdetermined generalized centred simplex gradients. Zbl 1481.65057
Hare, Warren; Jarry-Bolduc, Gabriel; Planiden, Chayne
3
2022
A locking-free \(P_0\) finite element method for linear elasticity equations on polytopal partitions. Zbl 1512.65273
Liu, Yujie; Wang, Junping
3
2022
Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. Zbl 1502.65114
Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K.
3
2022
A low-order divergence-free \(H(\mathrm{div})\)-conforming finite element method for Stokes flows. Zbl 1502.65210
Li, Xu; Rui, Hongxing
3
2022
Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints. Zbl 1517.65082
Bartels, Sören; Palus, Christian
3
2022
An HDG method for the Steklov eigenvalue problem. Zbl 1523.65088
Monk, Peter; Zhang, Yangwen
3
2022
Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. Zbl 1502.65188
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele
3
2022
Analysis of backward Euler projection FEM for the Landau-Lifshitz equation. Zbl 1502.65108
An, Rong; Sun, Weiwei
3
2022
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. Zbl 1522.65168
Binz, Tim; Kovács, Balázs
3
2022
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Cited by 19,350 Authors

218 Simos, Theodore E.
111 Dehghan Takht Fooladi, Mehdi
107 Shi, Dongyang
87 Gatica, Gabriel N.
77 He, Yinnian
72 Huang, Yunqing
65 Argyros, Ioannis Konstantinos
59 Xu, Da
59 Zhang, Guofeng
58 Carstensen, Carsten
58 Zhang, Zhimin
57 Li, Jichun
57 Praetorius, Dirk
57 Xiang, Shuhuang
55 Reichel, Lothar
54 Chen, Yanping
54 Ruiz-Baier, Ricardo
53 Huang, Chengming
51 Stynes, Martin Joseph
50 Burman, Erik
50 Wu, Xinyuan
49 Ern, Alexandre
47 Di Pietro, Daniele Antonio
47 Li, Buyang
46 Feng, Xinlong
45 Droniou, Jérôme
45 Sayas, Francisco-Javier
45 Vohralík, Martin
44 Schwab, Christoph
43 Iserles, Arieh
43 Ma, Changfeng
43 Wang, Song
42 Dai, Yu-Hong
42 Mora, David
42 Zhang, Chengjian
42 Zhang, Shangyou
41 Babaie-Kafaki, Saman
41 Beirão da Veiga, Lourenço
41 Eymard, Robert
41 Melenk, Jens Markus
41 Pani, Amiya Kumar
40 Manzini, Gianmarco
40 Wang, Wansheng
39 Antonietti, Paola Francesca
38 Jentzen, Arnulf
38 Oyarzúa, Ricardo
38 Wang, Cheng
37 He, Xiaoming
37 Heuer, Norbert
37 Olshanskii, Maxim A.
37 Wang, Hong
36 Chung, Tsz Shun Eric
36 Li, Meng
36 Mao, Shipeng
35 Nelakanti, Gnaneshwar
35 Sanz-Serna, Jesús María
34 Benner, Peter
34 Garcke, Harald
34 Larson, Mats G.
34 Martínez, José Mario
33 Bai, Zhongzhi
33 Barrett, John William
33 Chen, Shaochun
33 Führer, Thomas
33 Nicaise, Serge
32 Cockburn, Bernardo
32 Han, Weimin
32 Liang, Zhaozheng
32 Toint, Philippe Louis
31 Herbin, Raphaèle
31 Lin, Yanping
31 Nochetto, Ricardo Horacio
31 Zhao, Jingjun
30 Alolyan, Ibraheem
30 Fang, Yonglei
30 Georgoulis, Emmanuil H.
30 Hansbo, Peter
30 Kumam, Poom
30 Otárola, Enrique
30 Paternoster, Beatrice
30 Wu, Yujiang
29 Bradji, Abdallah
29 Elliott, Charles M.
29 Li, Donghui
29 Nataraj, Neela
29 Qiu, Weifeng
29 Verani, Marco
29 Wang, Fei
29 Xie, Xiaoping
29 Xu, Yang
29 Yang, Yidu
29 Yuan, Gonglin
29 Zhang, Tong
28 Abbaszadeh, Mostafa
28 Bi, Hai
28 Brunner, Hermann
28 Gracia, José Luis
28 Guo, Ben-Yu
28 Liao, HongLin
28 Meddahi, Salim
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