# zbMATH — the first resource for mathematics

## 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: 1,804 Publications (since 1981)
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#### Latest Issues

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#### Authors

 24 Barrett, John W. 24 Elliott, Charles M. 24 Iserles, Arieh 15 Süli, Endre E. 14 Sanz-Serna, Jesús María 12 Bernardi, Christine 12 Brunner, Hermann 12 Powell, Michael James David 12 Sloan, Ian Hugh 11 Eymard, Robert 11 Lubich, Christian 11 Pani, Amiya Kumar 11 Stynes, Martin 10 Gatica, Gabriel N. 9 Atkinson, Kendall Eugene 9 Carstensen, Carsten 9 Herbin, Raphaèle 9 Nicaise, Serge 9 Watson, G. Alistair 8 Georgoulis, Emmanuil H. 8 Graham, Ivan G. 8 Heuer, Norbert 8 Meddahi, Salim 8 Nørsett, Syvert Paul 8 Ostermann, Alexander 8 Rodríguez, Rodolfo 8 Sayas, Francisco-Javier 8 van der Houwen, Pieter J. 7 Cockburn, Bernardo 7 Ern, Alexandre 7 Fairweather, Graeme 7 Higham, Desmond J. 7 Higham, Nicholas J. 7 Hill, Adrian T. 7 Houston, Paul 7 Jin, Bangti 7 Karlsen, Kenneth Hvistendahl 7 Osborne, Michael Robert 7 Schötzau, Dominik 7 Stevenson, Rob P. 7 Yuan, Ya-xiang 6 Ainsworth, Mark 6 Araya, Rodolfo A. 6 Barrenechea, Gabriel R. 6 Burman, Erik 6 Chainais-Hillairet, Claire 6 Droniou, Jérôme 6 Forsyth, Peter A. 6 Garcke, Harald 6 Hackbusch, Wolfgang 6 McKee, Sean 6 Meerbergen, Karl 6 Melenk, Jens Markus 6 Mengi, Emre 6 Moore, Gerald 6 Morton, Keith William 6 Nürnberg, Robert 6 Phillips, Timothy N. 6 Schöberl, Joachim 6 Schwab, Christoph 6 Sommeijer, Ben P. 6 Tobiska, Lutz 6 Tretyakov, Michael V. 6 Wathen, Andrew John 5 Akrivis, Georgios D. 5 Bai, Zhongzhi 5 Baker, Christopher T. H. 5 Banjai, Lehel 5 Blowey, James F. 5 Buhmann, Martin Dietrich 5 Burrage, Kevin 5 Chandler-Wilde, Simon N. 5 Cooper, Gavin J. 5 Cox, Maurice G. 5 Curtis, Frank E. 5 Dai, Yu-Hong 5 de Frutos, Javier 5 Dormand, John R. 5 Gallouët, Thierry 5 García-Archilla, Bosco 5 Girault, Vivette 5 Griffiths, David F. 5 Guglielmi, Nicola 5 Guzmán, Johnny 5 Hairer, Ernst 5 Han, Weimin 5 Huybrechs, Daan 5 Kovács, Balázs 5 Kreuzer, Christian 5 Li, Buyang 5 Mackenzie, John A. 5 Maday, Yvon 5 Makridakis, Charalambos G. 5 Marletta, Marco 5 Mastroianni, Giuseppe 5 McLean, William 5 Milovanović, Gradimir V. 5 Mora, David 5 Mustapha, Kassem 5 Nataraj, Neela ...and 2,105 more Authors
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#### Fields

 1,654 Numerical analysis (65-XX) 592 Partial differential equations (35-XX) 191 Fluid mechanics (76-XX) 186 Ordinary differential equations (34-XX) 132 Approximations and expansions (41-XX) 106 Integral equations (45-XX) 83 Operations research, mathematical programming (90-XX) 72 Mechanics of deformable solids (74-XX) 50 Probability theory and stochastic processes (60-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 43 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) 26 Statistical mechanics, structure of matter (82-XX) 25 Functions of a complex variable (30-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Special functions (33-XX) 16 Quantum theory (81-XX) 16 Biology and other natural sciences (92-XX) 14 Potential theory (31-XX) 13 Statistics (62-XX) 11 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Integral transforms, operational calculus (44-XX) 8 Differential geometry (53-XX) 8 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Mechanics of particles and systems (70-XX) 6 Topological groups, Lie groups (22-XX) 6 Geophysics (86-XX) 6 Information and communication theory, circuits (94-XX) 5 Functional analysis (46-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-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) 1 Group theory and generalizations (20-XX)

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1,590 Publications have been cited 20,390 times in 15,127 Documents Cited by Year
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1988
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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1987
Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063
Al-Baali, M.
1985
On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045
Raydan, Marcos
1993
Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036
Higham, Nicholas J.
2002
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.
2010
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
2013
$$R$$-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069
Dai, Yuhong; Liao, Li-Zhi
2002
Finite elements on evolving surfaces. Zbl 1120.65102
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2007
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
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
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2005
The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080
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1990
$$P$$-stability and exponential-fitting methods for $$y''=f(x,y)$$. Zbl 0847.65052
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1996
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
2008
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
2007
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
Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017
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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
Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057
Wang, Xinghua
2000
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
2003
A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332
Wang, Song
2004
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
1997
Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
2003
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
The stability of the $$\theta$$-methods in the numerical solution of delay differential equations. Zbl 0693.65056
Liu, M. Z.; Spijker, M. N.
1990
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
Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022
2000
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
1987
Order conditions for a class of two-step methods for $$y''=f(x,y)$$. Zbl 1022.65080
Coleman, John P.
2003
Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037
Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio
2003
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
1983
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
Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007
Powell, Catherine E.; Elman, Howard C.
2009
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
2006
High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
1987
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
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
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
1986
Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057
Cooper, G. J.
1987
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2015
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
2015
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079
Simos, T. E.
2001
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
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022
Chan, Raymond H.
1991
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
2017
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 uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
2003
A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039
Yuan, Yaxiang
1991
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
1988
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
2004
Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093
Ganesh, M.; Joshi, M. C.
1991
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
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
2003
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
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
1983
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
A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047
Li, Qingna; Li, Dong-Hui
2011
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
2009
Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004
Gregory, J. A.; Delbourgo, R.
1982
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
1995
Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the $$\gamma$$-condition. Zbl 1094.65052
Li, Chong; Wang, Jinhua
2006
Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049
Dai, Y. H.; Yuan, Y.
1996
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
The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114
Atkinson, K. E.
1985
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
1993
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
2000
Well-posedness of $$hp$$-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
2014
The use of auto-correlation for pseudo-rank determination in noisy ill- conditioned linear least-squares problems. Zbl 0484.65021
Baart, M. L.
1982
Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013
Wendland, Holger
2001
$$H^1$$-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
2002
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
A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133
Egger, Herbert; Schöberl, Joachim
2010
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
The discrete collocation method for nonlinear integral equations. Zbl 0771.65090
Atkinson, K.; Flores, J.
1993
On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems. Zbl 0814.65082
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.
1995
$$\varepsilon$$-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
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071
Cáceres, Ernesto; Gatica, Gabriel N.
2017
Data dependent triangulations for piecewise linear interpolation. Zbl 0699.65004
Dyn, Nira; Levin, David; Rippa, Samuel
1990
A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem. Zbl 0563.76028
Verfürth, R.
1984
Approximation of $$1/x$$ by exponential sums in $$[1, \infty]$$. Zbl 1082.65025
Braess, Dietrich; Hackbusch, Wolfgang
2005
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
Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010
Lord, Gabriel J.; Tambue, Antoine
2013
A stability analysis of convolution quadratures for Abel-Volterra integral equations. Zbl 0587.65090
Lubich, Ch.
1986
A second elasticity element using the matrix bubble. Zbl 1232.74101
Gopalakrishnan, J.; Guzmán, J.
2012
Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise. Zbl 1282.65021
Kruse, Raphael
2014
An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091
Mustapha, Kassem
2011
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
Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192
Jankuhn, Thomas; Reusken, Arnold
2021
Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071
Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe
2021
On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075
Ranocha, Hendrik
2021
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
Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148
Liu, Zhihui; Qiao, Zhonghua
2020
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems. Zbl 1465.65130
Chaumont-Frelet, Théophile; Nicaise, S.
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
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
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
Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098
Liang, Hui; Brunner, Hermann
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
Stream function formulation of surface Stokes equations. Zbl 1466.65201
Reusken, Arnold
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
Strong order 1/2 convergence of full truncation Euler approximations to the Cox-Ingersoll-Ross process. Zbl 1461.91326
Cozma, Andrei; Reisinger, Christoph
2020
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines. Zbl 1462.65032
Cho, Durkbin; Vázquez, Rafael
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
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
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
Petrov-Galerkin space-time $$hp$$-approximation of parabolic equations in $$H^{1/2}$$. Zbl 1466.65126
Devaud, Denis
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
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems. Zbl 1466.65132
2020
Extending the unified transform: curvilinear polygons and variable coefficient PDEs. Zbl 1466.65223
Colbrook, Matthew J.
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
A spectral interpolation scheme on the unit sphere based on the nodes of spherical Lissajous curves. Zbl 1462.65019
Erb, Wolfgang
2020
A mixed DG method and an HDG method for incompressible magnetohydrodynamics. Zbl 1466.65200
Qiu, Weifeng; Shi, Ke
2020
Minimal consistent finite element space for the biharmonic equation on quadrilateral grids. Zbl 1466.65208
Zhang, Shuo
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
$$P_1$$ 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
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
Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method. Zbl 1464.65052
Boiger, R.; Leitão, A.; Svaiter, B. F.
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
Analysis of finite element methods for vector Laplacians on surfaces. Zbl 1466.65190
Hansbo, Peter; Larson, Mats G.; Larsson, Karl
2020
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089
Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady
2020
On the average condition number of tensor rank decompositions. Zbl 1466.15027
Breiding, Paul; Vannieuwenhoven, Nick
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
Randomized exponential integrators for modulated nonlinear Schrödinger equations. Zbl 1465.65002
Hofmanová, Martina; Knöller, Marvin; Schratz, Katharina
2020
$$\mathscr{K}$$-convergence as a new tool in numerical analysis. Zbl 1465.65045
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana
2020
Subsampled inexact Newton methods for minimizing large sums of convex functions. Zbl 1466.65041
Bellavia, Stefania; Krejić, Nataša; Krklec Jerinkić, Nataša
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
Virtual element method for quasilinear elliptic problems. Zbl 1466.65182
Cangiani, A.; Chatzipantelidis, P.; Diwan, G.; Georgoulis, E. H.
2020
Space-time approximation of parabolic systems with variable growth. Zbl 1466.65122
Breit, Dominic; Mensah, Prince Romeo
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 Newton method for harmonic mappings in the plane. Zbl 1464.65046
Sète, Olivier; Zur, Jan
2020
A lowest-order staggered DG method for the coupled Stokes-Darcy problem. Zbl 1466.65209
Zhao, Lina; Park, Eun-Jae
2020
Global rates of convergence for nonconvex optimization on manifolds. Zbl 07208096
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
The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein-Gordon equations. Zbl 07130815
Wang, Bin; Wu, Xinyuan
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
Fercoq, Olivier; Qu, Zheng
2019
A mixed finite element method for a sixth-order elliptic problem. Zbl 1465.65133
Droniou, Jérôme; Ilyas, Muhammad; Lamichhane, Bishnu P.; Wheeler, Glen E.
2019
A group of immersed finite-element spaces for elliptic interface problems. Zbl 07208112
Guo, Ruchi; Lin, Tao
2019
Regularized HSS iteration methods for stabilized saddle-point problems. Zbl 07130811
Bai, Zhongzhi
2019
Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization. Zbl 07130813
Tanaka, Ken&rsquo;ichiro; Sugihara, Masaaki
2019
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems. Zbl 1464.65174
Gong, Wei; Liu, Wenbin; Tan, Zhiyu; Yan, Ningning
2019
Strong $$L^2$$ convergence of time numerical schemes for the stochastic two-dimensional Navier-Stokes equations. Zbl 07130818
Bessaih, Hakima; Millet, Annie
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
Optimal stencils in Sobolev spaces. Zbl 07208109
Davydov, Oleg; Schaback, Robert
2019
Convergence of an MPFA finite volume scheme for a two-phase porous media flow model with dynamic capillarity. Zbl 07208113
Cao, X.; Nemadjieu, S. F.; Pop, I. S.
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
Two-scale method for the Monge-Ampère equation: pointwise error estimates. Zbl 1466.65198
Nochetto, R. H.; Ntogkas, D.; Zhang, W.
2019
Equilibrated flux a posteriori error estimates in $$L^2(H^1)$$-norms for high-order discretizations of parabolic problems. Zbl 1467.65092
Ern, Alexandre; Smears, Iain; Vohralík, Martin
2019
A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis. Zbl 07130802
Antolin, Pablo; Buffa, Annalisa; Fabre, Mathieu
2019
Singular value decomposition versus sparse grids: refined complexity estimates. Zbl 07130803
Griebel, Michael; Harbrecht, Helmut
2019
An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204
Hale, Nicholas
2019
Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 07208099
Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan
2019
Preserving invariance properties of reaction-diffusion systems on stationary surfaces. Zbl 07208103
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne; Venkataraman, Chandrasekhar
2019
Truncated nonsmooth Newton multigrid methods for block-separable minimization problems. Zbl 07208111
Gräser, Carsten; Sander, Oliver
2019
A new class of exponential integrators for SDEs with multiplicative noise. Zbl 1461.65006
Erdoğan, Utku; Lord, Gabriel J.
2019
Numerical methods for changing type systems. Zbl 1464.65050
Franz, Sebastian; Trostorff, Sascha; Waurick, Marcus
2019
Random permutations fix a worst case for cyclic coordinate descent. Zbl 1464.90058
Lee, Ching-pei; Wright, Stephen J.
2019
Solving polynomial systems via homotopy continuation and monodromy. Zbl 1462.65055
Duff, Timothy; Hill, Cvetelina; Jensen, Anders; Lee, Kisun; Leykin, Anton; Sommars, Jeff
2019
Finite element approximations of the nonhomogeneous fractional Dirichlet problem. Zbl 1466.65173
Acosta, Gabriel; Borthagaray, Juan Pablo; Heuer, Norbert
2019
Time and space adaptivity of the wave equation discretized in time by a second-order scheme. Zbl 07130804
Gorynina, Olga; Lozinski, Alexei; Picasso, Marco
2019
The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domains. Zbl 07130808
Chernov, Alexey; Mascotto, Lorenzo
2019
Partitioned time-stepping scheme for an MHD system with temperature-dependent coefficients. Zbl 07130810
Ravindran, S. S.
2019
Enlarged GMRES for solving linear systems with one or multiple right-hand sides. Zbl 07130812
Al Daas, Hussam; Grigori, Laura; Hénon, Pascal; Ricoux, Philippe
2019
An a posteriori error bound for discontinuous Galerkin approximations of convection-diffusion problems. Zbl 07208097
Georgoulis, Emmanuil H.; Hall, Edward; Makridakis, Charalambos
2019
An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers’s equation. Zbl 07208107
Rottmann-Matthes, Jens
2019
Increasing the smoothness of vector and Hermite subdivision schemes. Zbl 1464.65019
Moosmüller, Caroline; Dyn, Nira
2019
Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions. Zbl 1466.65222
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan; Yang, Jiang
2019
Discretization error estimates for penalty formulations of a linearized Canham-Helfrich-type energy. Zbl 1461.65251
Gräser, Carsten; Kies, Tobias
2019
A convergent time-space adaptive dG$$(s)$$ finite element method for parabolic problems motivated by equal error distribution. Zbl 1461.65239
Gaspoz, Fernando D.; Siebert, Kunibert; Kreuzer, Christian; Ziegler, Daniel A.
2019
On accuracy of the mass-preserving DG method to multi-dimensional Schrödinger equations. Zbl 1461.65241
Liu, Hailiang; Huang, Yunqing; Lu, Wenying; Yi, Nianyu
2019
Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation. Zbl 1461.65238
Barrenechea, Gabriel R.; Castillo, Ernesto; Codina, Ramon
2019
A time-dependent wave-thermoelastic solid interaction. Zbl 1466.65109
Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier; Weinacht, Richard J.
2019
Parameter-free superconvergent $$H(\operatorname{div})$$-conforming HDG methods for the Brinkman equations. Zbl 1466.65187
Fu, Guosheng; Jin, Yanyi; Qiu, Weifeng
2019
Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations. Zbl 1466.65167
Erath, Christoph; Praetorius, Dirk
2019
On the Lebesgue constant of weighted Leja points for Lagrange interpolation on unbounded domains. Zbl 1465.41001
Jantsch, Peter; Webster, Clayton G.; Zhang, Guannan
2019
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#### Cited by 14,110 Authors

 189 Simos, Theodore E. 82 Dehghan Takht Fooladi, Mehdi 73 Shi, Dongyang 67 Gatica, Gabriel N. 60 Argyros, Ioannis Konstantinos 56 Zhang, Guofeng 52 He, Yinnian 47 Li, Jichun 46 Xiang, Shuhuang 45 Reichel, Lothar 43 Carstensen, Carsten 43 Huang, Chengming 43 Sayas, Francisco-Javier 42 Huang, Yunqing 42 Praetorius, Dirk 42 Wu, Xinyuan 42 Xu, Da 41 Iserles, Arieh 38 Ma, Changfeng 38 Stynes, Martin 37 Schwab, Christoph 35 Di Pietro, Daniele Antonio 35 Ern, Alexandre 35 Wang, Song 34 Dai, Yu-Hong 34 Vohralík, Martin 34 Zhang, Chengjian 32 Eymard, Robert 32 Ruiz-Baier, Ricardo 31 Bai, Zhongzhi 31 Barrett, John W. 31 Liang, Zhaozheng 31 Zhang, Zhimin 30 Alolyan, Ibraheem 30 Burman, Erik 30 Droniou, Jérôme 29 Benner, Peter 29 Chen, Yanping 29 Martínez, José Mario 29 Nicaise, Serge 29 Oyarzúa, Ricardo 28 Beirão da Veiga, Lourenço 28 Brunner, Hermann 28 Chen, Shaochun 28 Cockburn, Bernardo 28 Heuer, Norbert 28 Sanz-Serna, Jesús María 27 Babaie-Kafaki, Saman 27 Cao, Yang 27 Li, Buyang 27 Li, Chong 27 Lin, Yanping 27 Mao, Shipeng 27 Olshanskii, Maxim A. 27 Toint, Philippe L. 26 Antonietti, Paola Francesca 26 Chung, Tsz Shun Eric 26 Forsyth, Peter A. 26 Guo, Ben-Yu 26 Larson, Mats G. 26 Liu, Hongwei 26 Pani, Amiya Kumar 26 Serra-Capizzano, Stefano 26 Wang, Wansheng 25 Hansbo, Peter 25 Karlsen, Kenneth Hvistendahl 25 Melenk, Jens Markus 25 Mora, David 25 Nelakanti, Gnaneshwar 25 Wei, Zengxin 25 Wu, Zongmin 24 Elliott, Charles M. 24 Fang, Yonglei 24 Ford, Neville J. 24 Gracia, José Luis 24 He, Xiaoming 24 Jentzen, Arnulf 24 Jin, Bangti 24 Kadalbajoo, Mohan K. 24 Paternoster, Beatrice 24 Wu, Yujiang 24 Zhang, Shangyou 23 Clavero, Carmelo 23 Herbin, Raphaèle 23 Li, Donghui 23 Natesan, Srinivasan 22 Bradji, Abdallah 22 Feng, Xinlong 22 George, Santhosh 22 Georgoulis, Emmanuil H. 22 Harbrecht, Helmut 22 Nochetto, Ricardo Horacio 22 Tsitouras, Charalampos 22 Wang, Cheng 21 Führer, Thomas 21 Ismail, Fudziah Bt. 21 Li, Xiaolin 21 Lubich, Christian 21 Raydan, Marcos 21 Wu, Shulin ...and 14,010 more Authors
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 1,326 Journal of Computational and Applied Mathematics 841 Applied Mathematics and Computation 684 Applied Numerical Mathematics 665 Computers & Mathematics with Applications 513 Journal of Computational Physics 489 Journal of Scientific Computing 479 Numerische Mathematik 440 Computer Methods in Applied Mechanics and Engineering 437 Numerical Algorithms 424 Mathematics of Computation 291 SIAM Journal on Numerical Analysis 286 SIAM Journal on Scientific Computing 250 International Journal of Computer Mathematics 247 BIT 199 Advances in Computational Mathematics 187 Linear Algebra and its Applications 179 Numerical Methods for Partial Differential Equations 179 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 158 Computational Optimization and Applications 154 Calcolo 146 Journal of Mathematical Analysis and Applications 145 Engineering Analysis with Boundary Elements 132 Journal of Mathematical Chemistry 131 Journal of Optimization Theory and Applications 123 Applied Mathematics Letters 117 Computational and Applied Mathematics 109 Numerical Functional Analysis and Optimization 102 Mathematical Problems in Engineering 100 Optimization Methods & Software 92 Computing 91 Mathematical Programming. Series A. Series B 90 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 88 Mathematics and Computers in Simulation 83 Applied Mathematical Modelling 76 Computer Aided Geometric Design 75 Abstract and Applied Analysis 74 Journal of Approximation Theory 74 Journal of Integral Equations and Applications 73 SIAM Journal on Matrix Analysis and Applications 73 Numerical Linear Algebra with Applications 71 Foundations of Computational Mathematics 71 Journal of Applied Mathematics and Computing 67 International Journal for Numerical Methods in Engineering 65 Computational Methods in Applied Mathematics 62 SIAM Journal on Optimization 61 Optimization 59 Mathematical and Computer Modelling 55 Computers and Fluids 52 Applicable Analysis 52 Mathematical Methods in the Applied Sciences 50 Optimization Letters 45 Science China. Mathematics 42 Journal of Complexity 41 Computer Physics Communications 41 Comptes Rendus. Mathématique. Académie des Sciences, Paris 41 Journal of Numerical Mathematics 40 International Journal for Numerical Methods in Fluids 40 Constructive Approximation 40 Journal of Global Optimization 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 39 Communications in Nonlinear Science and Numerical Simulation 37 Journal of Differential Equations 37 Applications of Mathematics 37 East Asian Journal on Applied Mathematics 34 Physica D 34 Japan Journal of Industrial and Applied Mathematics 34 Discrete and Continuous Dynamical Systems. Series B 34 SIAM/ASA Journal on Uncertainty Quantification 32 RAIRO. Modélisation Mathématique et Analyse Numérique 32 Computational Mechanics 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 32 Computational Geosciences 31 Multiscale Modeling & Simulation 30 Discrete and Continuous Dynamical Systems 30 Journal of Inequalities and Applications 29 Inverse Problems 29 Journal of Engineering Mathematics 29 Journal of Applied Mathematics 28 Acta Mathematicae Applicatae Sinica. English Series 28 ETNA. Electronic Transactions on Numerical Analysis 28 Advances in Difference Equations 27 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 25 Applied Mathematics. Series B (English Edition) 25 Communications in Numerical Methods in Engineering 24 Applied Mathematics and Mechanics. (English Edition) 23 The Annals of Statistics 23 Applied and Computational Harmonic Analysis 22 Journal of Inverse and Ill-Posed Problems 22 Mediterranean Journal of Mathematics 22 Journal of Industrial and Management Optimization 22 Frontiers of Mathematics in China 21 Journal of Mathematical Physics 21 European Journal of Operational Research 21 Journal of Nonlinear Science 21 Computing and Visualization in Science 21 Fractional Calculus & Applied Analysis 21 Inverse Problems in Science and Engineering 20 SIAM Journal on Control and Optimization 20 Journal of Difference Equations and Applications 19 SIAM Journal on Mathematical Analysis ...and 533 more Journals
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