## 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: Indexed cover-to-cover
 Documents Indexed: 1,934 Publications (since 1981)
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### Latest Issues

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### Authors

 26 Barrett, John W. 25 Elliott, Charles M. 24 Iserles, Arieh 16 Süli, Endre E. 14 Sanz-Serna, Jesús María 12 Bernardi, Christine 12 Brunner, Hermann 12 Eymard, Robert 12 Lubich, Christian 12 Powell, Michael James David 12 Sloan, Ian Hugh 12 Stynes, Martin 11 Pani, Amiya Kumar 10 Gatica, Gabriel N. 10 Graham, Ivan G. 9 Atkinson, Kendall Eugene 9 Carstensen, Carsten 9 Cockburn, Bernardo 9 Droniou, Jérôme 9 Ern, Alexandre 9 Herbin, Raphaèle 9 Heuer, Norbert 9 Higham, Nicholas J. 9 Nicaise, Serge 9 Watson, G. Alistair 9 Yuan, Ya-xiang 8 Burman, Erik 8 Georgoulis, Emmanuil H. 8 Higham, Desmond J. 8 Li, Buyang 8 Meddahi, Salim 8 Nørsett, Syvert Paul 8 Nürnberg, Robert 8 Ostermann, Alexander 8 Rodríguez, Rodolfo 8 Sayas, Francisco-Javier 8 Schötzau, Dominik 8 Schwab, Christoph 8 van der Houwen, Pieter J. 7 Akrivis, Georgios D. 7 Fairweather, Graeme 7 Garcke, Harald 7 Hill, Adrian T. 7 Houston, Paul 7 Jin, Bangti 7 Karlsen, Kenneth Hvistendahl 7 Nataraj, Neela 7 Osborne, Michael Robert 7 Stevenson, Rob P. 6 Ainsworth, Mark 6 Araya, Rodolfo A. 6 Banjai, Lehel 6 Barrenechea, Gabriel R. 6 Buhmann, Martin Dietrich 6 Chainais-Hillairet, Claire 6 Chandler-Wilde, Simon N. 6 Forsyth, Peter A. 6 García-Archilla, Bosco 6 Hackbusch, Wolfgang 6 Huybrechs, Daan 6 Maday, Yvon 6 McKee, Sean 6 Meerbergen, Karl 6 Melenk, Jens Markus 6 Moore, Gerald 6 Morton, Keith William 6 Phillips, Timothy N. 6 Praetorius, Dirk 6 Prohl, Andreas 6 Qiu, Weifeng 6 Sauter, Stefan A. 6 Schöberl, Joachim 6 Sommeijer, Ben P. 6 Tobiska, Lutz 6 Tretyakov, Michael V. 6 Wathen, Andrew John 5 Andreani, Roberto 5 Apel, Thomas 5 Bai, Zhongzhi 5 Baker, Christopher Thomas Hale 5 Bartels, Sören 5 Blowey, James F. 5 Burrage, Kevin 5 Cooper, Gavin J. 5 Cox, Maurice G. 5 Curtis, Frank E. 5 Dai, Yu-Hong 5 de Frutos, Javier 5 Deckelnick, Klaus 5 Diening, Lars 5 Dormand, John R. 5 Feng, Xiaobing 5 Gallouët, Thierry 5 Girault, Vivette 5 Griffiths, David F. 5 Guglielmi, Nicola 5 Guzmán, Johnny 5 Hairer, Ernst 5 Han, Weimin 5 Kovács, Balázs ...and 2,264 more Authors
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### Fields

 1,782 Numerical analysis (65-XX) 600 Partial differential equations (35-XX) 198 Fluid mechanics (76-XX) 187 Ordinary differential equations (34-XX) 139 Approximations and expansions (41-XX) 106 Integral equations (45-XX) 88 Operations research, mathematical programming (90-XX) 75 Mechanics of deformable solids (74-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 52 Probability theory and stochastic processes (60-XX) 44 Optics, electromagnetic theory (78-XX) 42 Dynamical systems and ergodic theory (37-XX) 42 Operator theory (47-XX) 31 Classical thermodynamics, heat transfer (80-XX) 27 Statistical mechanics, structure of matter (82-XX) 25 Functions of a complex variable (30-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Special functions (33-XX) 16 Quantum theory (81-XX) 16 Biology and other natural sciences (92-XX) 14 Potential theory (31-XX) 14 Statistics (62-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Real functions (26-XX) 9 Differential geometry (53-XX) 8 Integral transforms, operational calculus (44-XX) 8 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Mechanics of particles and systems (70-XX) 7 Information and communication theory, circuits (94-XX) 6 Topological groups, Lie groups (22-XX) 6 Geophysics (86-XX) 5 Functional analysis (46-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 4 Astronomy and astrophysics (85-XX) 3 Difference and functional equations (39-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX)

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1,644 Publications have been cited 22,507 times in 16,631 Documents Cited by Year
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Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
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2007
A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056
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2006
Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006
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1993
Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059
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Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063
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1985
On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045
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1993
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144
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2010
Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036
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2002
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100
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2013
$$R$$-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069
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2002
Finite elements on evolving surfaces. Zbl 1120.65102
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2007
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
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2005
A new approach to variable selection in least squares problems. Zbl 0962.65036
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2000
Numerical methods for $$y''=f(x,y)$$ via rational approximations for the cosine. Zbl 0675.65072
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1989
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
$$P$$-stability and exponential-fitting methods for $$y''=f(x,y)$$. Zbl 0847.65052
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1996
The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080
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1990
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
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2008
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
2002
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
2012
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
2007
Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017
Hammarling, S. J.
1982
Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021
Olver, Sheehan
2006
Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405
D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R.
2005
The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016
Higham, Nicholas J.
2004
A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332
Wang, Song
2004
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
2003
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
2017
Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
2003
Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057
Wang, Xinghua
2000
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
1997
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
2009
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
1987
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.
1981
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
2015
Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022
2000
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
2009
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
1987
The stability of the $$\theta$$-methods in the numerical solution of delay differential equations. Zbl 0693.65056
Liu, M. Z.; Spijker, M. N.
1990
Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007
Powell, Catherine E.; Elman, Howard C.
2009
Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070
Akrivis, Georgios D.
1993
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
2014
Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037
Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio
2003
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2015
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
2006
Order conditions for a class of two-step methods for $$y''=f(x,y)$$. Zbl 1022.65080
Coleman, John P.
2003
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
1983
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
1986
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann
2011
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
2003
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.
2006
High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
1987
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.
2016
Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057
Cooper, G. J.
1987
A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039
Yuan, Yaxiang
1991
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.
2002
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
2003
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
2004
A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047
Li, Qingna; Li, Dong-Hui
2011
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
1988
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022
Chan, Raymond H.
1991
Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093
Ganesh, M.; Joshi, M. C.
1991
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079
Simos, T. E.
2001
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
2004
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
1988
Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053
Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R.
2003
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
2004
Solving linear partial differential equations by exponential splitting. Zbl 0676.65116
Sheng, Q.
1989
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.
1998
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
1995
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
1983
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071
Cáceres, Ernesto; Gatica, Gabriel N.
2017
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
2011
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
1993
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
2009
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
2000
A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097
Stynes, Martin; Gracia, José Luis
2015
Well-posedness of $$hp$$-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
2014
$$H^1$$-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
2002
Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the $$\gamma$$-condition. Zbl 1094.65052
Li, Chong; Wang, Jinhua
2006
The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014
Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel
2016
An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091
Mustapha, Kassem
2011
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
2015
Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049
Dai, Y. H.; Yuan, Y.
1996
Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013
Wendland, Holger
2001
The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114
Atkinson, K. E.
1985
Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004
Gregory, J. A.; Delbourgo, R.
1982
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
2005
A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133
Egger, Herbert; Schöberl, Joachim
2010
The discrete collocation method for nonlinear integral equations. Zbl 0771.65090
Atkinson, K.; Flores, J.
1993
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
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
2014
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2015
Approximation of $$1/x$$ by exponential sums in $$[1, \infty]$$. Zbl 1082.65025
Braess, Dietrich; Hackbusch, Wolfgang
2005
Time discretization of an evolution equation via Laplace transforms. Zbl 1068.65146
McLean, William; Thomée, Vidar
2004
Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise. Zbl 1282.65021
Kruse, Raphael
2014
$$\varepsilon$$-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P.
2000
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
2000
The use of auto-correlation for pseudo-rank determination in noisy ill- conditioned linear least-squares problems. Zbl 0484.65021
Baart, M. L.
1982
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
2022
Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020
dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig
2022
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. Zbl 07465490
Banjai, Lehel; Lubich, Christian; Nick, Jörg
2022
A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 07465497
Müller-Gronbach, Thomas; Yaroslavtseva, Larisa
2022
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 07465510
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
2022
Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. Zbl 1461.65242
Stevenson, Rob; Westerdiep, Jan
2021
Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. Zbl 1460.65145
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
2021
Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099
Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid
2021
Adaptive cubic regularization methods with dynamic inexact Hessian information and applications to finite-sum minimization. Zbl 1460.65076
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta
2021
On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075
Ranocha, Hendrik
2021
Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions. Zbl 1460.65054
Cox, Sonja; Hutzenthaler, Martin; Jentzen, Arnulf; van Neerven, Jan; Welti, Timo
2021
Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192
Jankuhn, Thomas; Reusken, Arnold
2021
$$hp$$-FEM for the fractional heat equation. Zbl 1466.65141
Markus Melenk, Jens; Rieder, Alexander
2021
Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071
Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe
2021
Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108
Maltese, David; Novotný, Antonín
2021
A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model. Zbl 1460.65104
Cancès, Clément; Chainais-Hillairet, Claire; Fuhrmann, Jürgen; Gaudeul, Benoît
2021
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. Zbl 1460.65138
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
2021
Finite element error analysis of wave equations with dynamic boundary conditions: $$L^2$$ estimates. Zbl 1460.65120
Hipp, David; Kovács, Balázs
2021
Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148
Liu, Zhihui; Qiao, Zhonghua
2020
Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. Zbl 1466.65161
Jentzen, Arnulf; Pušnik, Primož
2020
Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids. Zbl 1464.65131
Süli, Endre; Tscherpel, Tabea
2020
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098
Gunzburger, Max; Iliescu, Traian; Schneier, Michael
2020
Localization of the $$W^{-1,q}$$ norm for local a posteriori efficiency. Zbl 07199497
Blechta, Jan; Málek, Josef; Vohralík, Martin
2020
Numerical solution of fractional elliptic stochastic PDEs with spatial white noise. Zbl 1466.65181
Bolin, David; Kirchner, Kristin; Kovács, Mihály
2020
Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2020
A virtual element method for a nonlocal Fitzhugh-Nagumo model of cardiac electrophysiology. Zbl 1466.65116
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Sepúlveda, Mauricio
2020
Stream function formulation of surface Stokes equations. Zbl 1466.65201
Reusken, Arnold
2020
Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185
Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia
2020
A new analysis of a numerical method for the time-fractional Fokker-Planck equation with general forcing. Zbl 1455.65170
Huang, Can; Le, Kim Ngan; Stynes, Martin
2020
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems. Zbl 1465.65130
Chaumont-Frelet, Théophile; Nicaise, S.
2020
A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. Zbl 1466.65197
Mora, David; Rivera, Gonzalo
2020
Virtual element methods for the obstacle problem. Zbl 1462.65202
Wang, Fei; Wei, Huayi
2020
A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim
2020
Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions. Zbl 1466.65183
Cascavita, Karol L.; Chouly, Franz; Ern, Alexandre
2020
$$\mathscr{K}$$-convergence as a new tool in numerical analysis. Zbl 1465.65045
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana
2020
Virtual element method for quasilinear elliptic problems. Zbl 1466.65182
Cangiani, A.; Chatzipantelidis, P.; Diwan, G.; Georgoulis, E. H.
2020
Petrov-Galerkin space-time $$hp$$-approximation of parabolic equations in $$H^{1/2}$$. Zbl 1466.65126
Devaud, Denis
2020
Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098
Liang, Hui; Brunner, Hermann
2020
Extending the unified transform: curvilinear polygons and variable coefficient PDEs. Zbl 1466.65223
Colbrook, Matthew J.
2020
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
2020
Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates. Zbl 1466.65154
Ibdah, Hussain A.; Mondaini, Cecilia F.; Titi, Edriss S.
2020
An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods. Zbl 1464.65171
Braess, Dietrich; Pechstein, Astrid S.; Schöberl, Joachim
2020
Optimal error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system. Zbl 1466.65085
Yi, Wenfan; Cai, Yongyong
2020
Simple bespoke preservation of two conservation laws. Zbl 1466.65063
Frasca-Caccia, Gianluca; Hydon, Peter Ellsworth
2020
A mixed DG method and an HDG method for incompressible magnetohydrodynamics. Zbl 1466.65200
Qiu, Weifeng; Shi, Ke
2020
$$P_1$$ finite element methods for an elliptic optimal control problem with pointwise state constraints. Zbl 1464.65061
Brenner, Susanne C.; Sung, Li-yeng; Gedicke, Joscha
2020
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem. Zbl 1462.65175
Xi, Yingxia; Ji, Xia; Zhang, Shuo
2020
Analysis of finite element methods for vector Laplacians on surfaces. Zbl 1466.65190
Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2020
Analysis of a new class of rational RBF expansions. Zbl 1465.65014
Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma
2020
The inf-sup stability of the lowest order Taylor-Hood pair on affine anisotropic meshes. Zbl 1466.65179
Barrenechea, Gabriel R.; Wachtel, Andreas
2020
A Lawson-type exponential integrator for the Korteweg-de Vries equation. Zbl 1466.65157
Ostermann, Alexander; Su, Chunmei
2020
Large-time behaviour of a family of finite volume schemes for boundary-driven convection-diffusion equations. Zbl 1467.65088
Chainais-Hillairet, Claire; Herda, Maxime
2020
Space-time approximation of parabolic systems with variable growth. Zbl 1466.65122
Breit, Dominic; Mensah, Prince Romeo
2020
The nonsmooth landscape of phase retrieval. Zbl 1464.65063
Davis, Damek; Drusvyatskiy, Dmitriy; Paquette, Courtney
2020
Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. Zbl 1466.65127
Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard
2020
A lowest-order staggered DG method for the coupled Stokes-Darcy problem. Zbl 1466.65209
Zhao, Lina; Park, Eun-Jae
2020
Minimal consistent finite element space for the biharmonic equation on quadrilateral grids. Zbl 1466.65208
Zhang, Shuo
2020
Finite element approximation of a strain-limiting elastic model. Zbl 1465.74156
Bonito, Andrea; Girault, Vivette; Süli, Endre
2020
Strong order 1/2 convergence of full truncation Euler approximations to the Cox-Ingersoll-Ross process. Zbl 1461.91326
Cozma, Andrei; Reisinger, Christoph
2020
Hierarchical B-spline complexes of discrete differential forms. Zbl 1466.65016
Evans, John A.; Scott, Michael A.; Shepherd, Kendrick M.; Thomas, Derek C.; Vázquez Hernández, Rafael
2020
Long-time $$L^\infty (L^2)$$ a posteriori error estimates for fully discrete parabolic problems. Zbl 1466.65147
Sutton, Oliver J.
2020
Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method. Zbl 1464.65052
Boiger, R.; Leitão, A.; Svaiter, B. F.
2020
Error estimates of finite difference schemes for the Korteweg-de Vries equation. Zbl 1462.65103
Courtès, Clémentine; Lagoutière, Frédéric; Rousset, Frédéric
2020
Optimal error estimates of the unilateral contact problem in a curved and smooth boundary domain by the penalty method. Zbl 1462.65184
Dione, Ibrahima
2020
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines. Zbl 1462.65032
Cho, Durkbin; Vázquez, Rafael
2020
Numerical approximation of curve evolutions in Riemannian manifolds. Zbl 1466.65121
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2020
Stabilization of high order cut finite element methods on surfaces. Zbl 1466.65195
Larson, Mats G.; Zahedi, Sara
2020
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
2020
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089
Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady
2020
Randomized exponential integrators for modulated nonlinear Schrödinger equations. Zbl 1465.65002
Hofmanová, Martina; Knöller, Marvin; Schratz, Katharina
2020
Essential numerical ranges for linear operator pencils. Zbl 1466.15021
Bögli, Sabine; Marletta, Marco
2020
Quasi-optimal and pressure-robust discretizations of the Stokes equations by new augmented Lagrangian formulations. Zbl 1466.65193
Kreuzer, Christian; Zanotti, Pietro
2020
A Newton method for harmonic mappings in the plane. Zbl 1464.65046
Sète, Olivier; Zur, Jan
2020
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems. Zbl 1466.65132
2020
Numerical analysis of a time domain elastoacoustic problem. Zbl 1466.65120
Araya, Rodolfo; Rodríguez, Rodolfo; Venegas, Pablo
2020
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139
Karátson, János; Kovács, Balázs; Korotov, Sergey
2020
A spectral interpolation scheme on the unit sphere based on the nodes of spherical Lissajous curves. Zbl 1462.65019
Erb, Wolfgang
2020
A fully mixed finite element method for the coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1465.65123
Almonacid, Javier A.; Díaz, Hugo S.; Gatica, Gabriel N.; Márquez, Antonio
2020
On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients. Zbl 1465.65131
Chen, Gang; Cui, Jintao
2020
Analysis and finite element discretization for optimal control of a linear fluid-structure interaction problem with delay. Zbl 1464.76059
Peralta, Gilbert; Kunisch, Karl
2020
Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic. Zbl 1466.65226
Hrycak, Tomasz; Schmutzhard, Sebastian
2020
Corrigendum to: “A convergent adaptive finite element method for elliptic Dirichlet boundary control problems”. Zbl 1469.65164
Gong, Wei; Liu, Wenbin; Tan, Zhiyu; Yan, Ningning
2020
Sparse tensor product finite element method for nonlinear multiscale variational inequalities of monotone type. Zbl 1466.65203
Tan, Wee Chin; Hoang, Viet Ha
2020
On the average condition number of tensor rank decompositions. Zbl 1466.15027
Breiding, Paul; Vannieuwenhoven, Nick
2020
Fast Poisson solvers for spectral methods. Zbl 1466.65186
Fortunato, Daniel; Townsend, Alex
2020
Fast algorithms for Jacobi expansions via nonoscillatory phase functions. Zbl 1465.65015
Bremer, James; Yang, Haizhao
2020
Space-time discontinuous Galerkin methods for the $$\varepsilon$$-dependent stochastic Allen-Cahn equation with mild noise. Zbl 1466.65119
Antonopoulou, Dimitra C.
2020
Adaptive finite element methods for sparse PDE-constrained optimization. Zbl 1466.65175
Allendes, A.; Fuica, F.; Otárola, E.
2020
Subsampled inexact Newton methods for minimizing large sums of convex functions. Zbl 1466.65041
Bellavia, Stefania; Krejić, Nataša; Krklec Jerinkić, Nataša
2020
On the standard Galerkin method with explicit RK4 time stepping for the shallow water equations. Zbl 1466.65118
Antonopoulos, D. C.; Dougalis, V. A.; Kounadis, G.
2020
Global rates of convergence for nonconvex optimization on manifolds. Zbl 1483.65092
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia
2019
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation. Zbl 07130817
Bréhier, Charles-Edouard; Cui, Jianbo; Hong, Jialin
2019
A group of immersed finite-element spaces for elliptic interface problems. Zbl 1483.65184
Guo, Ruchi; Lin, Tao
2019
A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations. Zbl 1465.65129
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
2019
The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein-Gordon equations. Zbl 07130815
Wang, Bin; Wu, Xinyuan
2019
Fercoq, Olivier; Qu, Zheng
2019
Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in $$p$$th moment and stability. Zbl 1461.65007
Li, Xiaoyue; Mao, Xuerong; Yin, George
2019
Optimal stencils in Sobolev spaces. Zbl 1483.65170
Davydov, Oleg; Schaback, Robert
2019
Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization. Zbl 07130807
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
2019
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### Cited by 15,386 Authors

 196 Simos, Theodore E. 92 Dehghan Takht Fooladi, Mehdi 80 Shi, Dongyang 69 Gatica, Gabriel N. 63 He, Yinnian 59 Argyros, Ioannis Konstantinos 58 Zhang, Guofeng 51 Huang, Yunqing 50 Li, Jichun 50 Xiang, Shuhuang 48 Carstensen, Carsten 48 Xu, Da 46 Praetorius, Dirk 46 Reichel, Lothar 45 Huang, Chengming 43 Wu, Xinyuan 42 Ern, Alexandre 42 Sayas, Francisco-Javier 41 Iserles, Arieh 40 Chen, Yanping 40 Stynes, Martin 39 Ma, Changfeng 38 Di Pietro, Daniele Antonio 38 Vohralík, Martin 37 Burman, Erik 37 Dai, Yu-Hong 37 Schwab, Christoph 37 Zhang, Chengjian 36 Droniou, Jérôme 36 Wang, Song 35 Eymard, Robert 33 Li, Buyang 33 Pani, Amiya Kumar 33 Ruiz-Baier, Ricardo 33 Zhang, Zhimin 32 Barrett, John W. 31 Bai, Zhongzhi 31 Benner, Peter 31 Chung, Tsz Shun Eric 31 Liang, Zhaozheng 31 Olshanskii, Maxim A. 30 Alolyan, Ibraheem 30 Beirão da Veiga, Lourenço 30 Cockburn, Bernardo 30 Martínez, José Mario 30 Wang, Cheng 30 Zhang, Shangyou 29 Antonietti, Paola Francesca 29 Babaie-Kafaki, Saman 29 Chen, Shaochun 29 He, Xiaoming 29 Heuer, Norbert 29 Mao, Shipeng 29 Nicaise, Serge 29 Oyarzúa, Ricardo 29 Wang, Wansheng 28 Brunner, Hermann 28 Cao, Yang 28 Feng, Xinlong 28 Li, Donghui 28 Mora, David 28 Natesan, Srinivasan 28 Sanz-Serna, Jesús María 28 Toint, Philippe L. 27 Li, Chong 27 Lin, Yanping 27 Melenk, Jens Markus 27 Nelakanti, Gnaneshwar 27 Serra-Capizzano, Stefano 26 Fang, Yonglei 26 Forsyth, Peter A. 26 Guo, Ben-Yu 26 Hansbo, Peter 26 Herbin, Raphaèle 26 Jentzen, Arnulf 26 Larson, Mats G. 26 Liu, Hongwei 26 Manzini, Gianmarco 26 Wu, Yujiang 25 Elliott, Charles M. 25 Ganesh, Mahadevan 25 Kadalbajoo, Mohan K. 25 Karlsen, Kenneth Hvistendahl 25 Wei, Zengxin 25 Wu, Zongmin 24 Ford, Neville J. 24 Georgoulis, Emmanuil H. 24 Gracia, José Luis 24 Harbrecht, Helmut 24 Jin, Bangti 24 Nochetto, Ricardo Horacio 24 Paternoster, Beatrice 24 Yuan, Jinyun 23 Bradji, Abdallah 23 Clavero, Carmelo 23 Führer, Thomas 23 Han, Weimin 23 Huang, Jin 23 Lubich, Christian 23 Süli, Endre E. ...and 15,286 more Authors
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