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) all top 5 Latest Issues 42, No. 2 (2022) 42, No. 1 (2022) 41, No. 4 (2021) 41, No. 3 (2021) 41, No. 2 (2021) 41, No. 1 (2021) 40, No. 4 (2020) 40, No. 3 (2020) 40, No. 2 (2020) 40, No. 1 (2020) 39, No. 4 (2019) 39, No. 3 (2019) 39, No. 2 (2019) 39, No. 1 (2019) 38, No. 4 (2018) 38, No. 3 (2018) 38, No. 2 (2018) 38, No. 1 (2018) 37, No. 4 (2017) 37, No. 3 (2017) 37, No. 2 (2017) 37, No. 1 (2017) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) 35, No. 4 (2015) 35, No. 3 (2015) 35, No. 2 (2015) 35, No. 1 (2015) 34, No. 4 (2014) 34, No. 3 (2014) 34, No. 2 (2014) 34, No. 1 (2014) 33, No. 4 (2013) 33, No. 3 (2013) 33, No. 2 (2013) 33, No. 1 (2013) 32, No. 4 (2012) 32, No. 3 (2012) 32, No. 2 (2012) 32, No. 1 (2012) 31, No. 4 (2011) 31, No. 3 (2011) 31, No. 2 (2011) 31, No. 1 (2011) 30, No. 4 (2010) 30, No. 3 (2010) 30, No. 2 (2010) 30, No. 1 (2010) 29, No. 4 (2009) 29, No. 3 (2009) 29, No. 2 (2009) 29, No. 1 (2009) 28, No. 4 (2008) 28, No. 3 (2008) 28, No. 2 (2008) 28, No. 1 (2008) 27, No. 4 (2007) 27, No. 3 (2007) 27, No. 2 (2007) 27, No. 1 (2007) 26, No. 4 (2006) 26, No. 3 (2006) 26, No. 2 (2006) 26, No. 1 (2006) 25, No. 4 (2005) 25, No. 3 (2005) 25, No. 2 (2005) 25, No. 1 (2005) 24, No. 4 (2004) 24, No. 3 (2004) 24, No. 2 (2004) 24, No. 1 (2004) 23, No. 4 (2003) 23, No. 3 (2003) 23, No. 2 (2003) 23, No. 1 (2003) 22, No. 4 (2002) 22, No. 3 (2002) 22, No. 2 (2002) 22, No. 1 (2002) 21, No. 4 (2001) 21, No. 3 (2001) 21, No. 2 (2001) 21, No. 1 (2001) 20, No. 4 (2000) 20, No. 3 (2000) 20, No. 2 (2000) 20, No. 1 (2000) 19, No. 4 (1999) 19, No. 3 (1999) 19, No. 2 (1999) 19, No. 1 (1999) 18, No. 4 (1998) 18, No. 3 (1998) 18, No. 2 (1998) 18, No. 1 (1998) 17, No. 4 (1997) 17, No. 3 (1997) ...and 43 more Volumes all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,644 Publications have been cited 22,507 times in 16,631 Documents Cited by ▼ Year ▼ Two-point step size gradient methods. Zbl 0638.65055Barzilai, Jonathan; Borwein, Jonathan M. 601 1988 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 264 2007 A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056Zhang, Li; Zhou, Weijun; Li, Donghui 188 2006 Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006Wu, Zong-Min; Schaback, Robert 176 1993 Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 169 1987 Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063Al-Baali, M. 161 1985 On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045Raydan, Marcos 151 1993 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144Eymard, R.; Gallouët, T.; Herbin, R. 149 2010 Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036Higham, Nicholas J. 145 2002 Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 135 2013 \(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069Dai, Yuhong; Liao, Li-Zhi 131 2002 Finite elements on evolving surfaces. Zbl 1120.65102Dziuk, G.; Elliott, C. M. 124 2007 Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122Lin, Qun; Tobiska, Lutz; Zhou, Aihui 118 2005 A new approach to variable selection in least squares problems. Zbl 0962.65036Osborne, M. R.; Presnell, Brett; Turlach, B. A. 118 2000 Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072Coleman, John P. 117 1989 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 116 2016 \(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052Coleman, John P.; Ixaru, Liviu Gr. 113 1996 The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080Beyn, W.-J. 105 1990 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022Benzi, Michele; Bertaccini, Daniele 104 2008 Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002Adler, Roy L.; Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub, Mike 103 2002 On generalized moving least squares and diffuse derivatives. Zbl 1252.65037Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 100 2012 Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004Todor, Radu Alexandru; Schwab, Christoph 96 2007 Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017Hammarling, S. J. 94 1982 Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021Olver, Sheehan 93 2006 Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R. 90 2005 The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016Higham, Nicholas J. 85 2004 A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332Wang, Song 82 2004 Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018Bai, Zhongzhi; Li, Guiqing 80 2003 Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J. 79 2017 Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 74 2003 Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057Wang, Xinghua 74 2000 On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar 73 1997 A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo 72 2009 Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076Wathen, A. J. 72 1987 Product approximation for non-linear problems in the finite element method. Zbl 0469.65072Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Sanz-Serna, J. M. 71 1981 Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061He, Yinnian 71 2015 Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022Hill, Adrian T.; Süli, Endre 70 2000 A conforming mixed finite element method for the coupling of fluid flow with porous media flow. Zbl 1157.76025Gatica, Gabriel N.; Meddahi, Salim; Oyarzúa, Ricardo 69 2009 Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118Barrett, John W.; Elliott, Charles M. 69 1987 The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056Liu, M. Z.; Spijker, M. N. 68 1990 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007Powell, Catherine E.; Elman, Howard C. 66 2009 Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070Akrivis, Georgios D. 66 1993 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 66 2014 Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio 65 2003 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 65 2015 The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao 64 2006 Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080Coleman, John P. 63 2003 On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095Lubich, Ch. 63 1983 Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087Sanz-Serna, J. M.; Verwer, J. G. 61 1986 Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann 59 2011 A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076Madden, Niall; Stynes, Martin 58 2003 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110Eymard, R.; Gallouët, T.; Herbin, R. 58 2006 High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 58 1987 Stability and convergence of a second-order mixed finite element method for the Cahn-Hilliard equation. Zbl 1433.80005Diegel, Amanda E.; Wang, Cheng; Wise, Steven M. 57 2016 Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057Cooper, G. J. 57 1987 A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039Yuan, Yaxiang 57 1991 Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 56 2002 A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar 56 2003 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 56 2004 A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047Li, Qingna; Li, Dong-Hui 56 2011 Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043Toint, Ph. L. 56 1988 Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022Chan, Raymond H. 56 1991 Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093Ganesh, M.; Joshi, M. C. 55 1991 A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079Simos, T. E. 55 2001 Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104Zhang, Chengjian; Vandewalle, Stefan 53 2004 The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143Sloan, I. H.; Spence, A. 53 1988 Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R. 52 2003 Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng 51 2004 Solving linear partial differential equations by exponential splitting. Zbl 0676.65116Sheng, Q. 51 1989 Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R. 50 1998 Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092Lubich, Ch.; Ostermann, A. 49 1995 The calculation of Hopf points by a direct method. Zbl 0521.65070Griewank, A.; Reddien, G. 49 1983 A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071Cáceres, Ernesto; Gatica, Gabriel N. 48 2017 Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 48 2011 A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126Tang, Tao 48 1993 Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022Amiraslani, A.; Corless, R. M.; Lancaster, P. 48 2009 Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100Toro, E. F.; Billet, S. J. 48 2000 A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097Stynes, Martin; Gracia, José Luis 48 2015 Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128Mustapha, Kassem; Schötzau, Dominik 47 2014 \(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101Pani, Amiya K.; Fairweather, Graeme 47 2002 Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052Li, Chong; Wang, Jinhua 47 2006 The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel 47 2016 An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091Mustapha, Kassem 46 2011 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116Mu, Lin; Wang, Junping; Ye, Xiu 46 2015 Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049Dai, Y. H.; Yuan, Y. 45 1996 Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013Wendland, Holger 45 2001 The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114Atkinson, K. E. 45 1985 Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004Gregory, J. A.; Delbourgo, R. 45 1982 Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116Houston, Paul; Robson, Janice; Süli, Endre 44 2005 A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133Egger, Herbert; Schöberl, Joachim 44 2010 The discrete collocation method for nonlinear integral equations. Zbl 0771.65090Atkinson, K.; Flores, J. 44 1993 Matrix completion via an alternating direction method. Zbl 1236.65043Chen, Caihua; He, Bingsheng; Yuan, Xiaoming 43 2012 Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. I: Linear version. Zbl 1296.65144Wu, Haijun 43 2014 A splitting method for separable convex programming. Zbl 1310.65062He, Bingsheng; Tao, Min; Yuan, Xiaoming 42 2015 Approximation of \(1/x\) by exponential sums in \([1, \infty]\). Zbl 1082.65025Braess, Dietrich; Hackbusch, Wolfgang 42 2005 Time discretization of an evolution equation via Laplace transforms. Zbl 1068.65146McLean, William; Thomée, Vidar 42 2004 Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise. Zbl 1282.65021Kruse, Raphael 42 2014 \(\varepsilon\)-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. 42 2000 Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134Huang, Chengming 42 2000 The use of auto-correlation for pseudo-rank determination in noisy ill- conditioned linear least-squares problems. Zbl 0484.65021Baart, M. L. 42 1982 A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500Burman, Erik; He, Cuiyu; Larson, Mats G. 3 2022 Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig 3 2022 Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. Zbl 07465490Banjai, Lehel; Lubich, Christian; Nick, Jörg 1 2022 A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 07465497Müller-Gronbach, Thomas; Yaroslavtseva, Larisa 1 2022 An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 07465510Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming 1 2022 Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. Zbl 1461.65242Stevenson, Rob; Westerdiep, Jan 9 2021 Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. Zbl 1460.65145Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela 6 2021 Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid 5 2021 Adaptive cubic regularization methods with dynamic inexact Hessian information and applications to finite-sum minimization. Zbl 1460.65076Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta 5 2021 On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075Ranocha, Hendrik 4 2021 Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions. Zbl 1460.65054Cox, Sonja; Hutzenthaler, Martin; Jentzen, Arnulf; van Neerven, Jan; Welti, Timo 3 2021 Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192Jankuhn, Thomas; Reusken, Arnold 2 2021 \(hp\)-FEM for the fractional heat equation. Zbl 1466.65141Markus Melenk, Jens; Rieder, Alexander 2 2021 Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe 2 2021 Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108Maltese, David; Novotný, Antonín 1 2021 A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model. Zbl 1460.65104Cancès, Clément; Chainais-Hillairet, Claire; Fuhrmann, Jürgen; Gaudeul, Benoît 1 2021 A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. Zbl 1460.65138Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo 1 2021 Finite element error analysis of wave equations with dynamic boundary conditions: \(L^2\) estimates. Zbl 1460.65120Hipp, David; Kovács, Balázs 1 2021 Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148Liu, Zhihui; Qiao, Zhonghua 10 2020 Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. Zbl 1466.65161Jentzen, Arnulf; Pušnik, Primož 9 2020 Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids. Zbl 1464.65131Süli, Endre; Tscherpel, Tabea 7 2020 Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065Jin, Bangti; Li, Buyang; Zhou, Zhi 7 2020 A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098Gunzburger, Max; Iliescu, Traian; Schneier, Michael 6 2020 Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497Blechta, Jan; Málek, Josef; Vohralík, Martin 6 2020 Numerical solution of fractional elliptic stochastic PDEs with spatial white noise. Zbl 1466.65181Bolin, David; Kirchner, Kristin; Kovács, Mihály 6 2020 Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066He, Bingsheng; Ma, Feng; Yuan, Xiaoming 6 2020 A virtual element method for a nonlocal Fitzhugh-Nagumo model of cardiac electrophysiology. Zbl 1466.65116Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Sepúlveda, Mauricio 6 2020 Stream function formulation of surface Stokes equations. Zbl 1466.65201Reusken, Arnold 6 2020 Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia 6 2020 A new analysis of a numerical method for the time-fractional Fokker-Planck equation with general forcing. Zbl 1455.65170Huang, Can; Le, Kim Ngan; Stynes, Martin 5 2020 Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems. Zbl 1465.65130Chaumont-Frelet, Théophile; Nicaise, S. 5 2020 A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. Zbl 1466.65197Mora, David; Rivera, Gonzalo 5 2020 Virtual element methods for the obstacle problem. Zbl 1462.65202Wang, Fei; Wei, Huayi 5 2020 A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim 5 2020 Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions. Zbl 1466.65183Cascavita, Karol L.; Chouly, Franz; Ern, Alexandre 5 2020 \(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana 5 2020 Virtual element method for quasilinear elliptic problems. Zbl 1466.65182Cangiani, A.; Chatzipantelidis, P.; Diwan, G.; Georgoulis, E. H. 5 2020 Petrov-Galerkin space-time \(hp\)-approximation of parabolic equations in \(H^{1/2}\). Zbl 1466.65126Devaud, Denis 5 2020 Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098Liang, Hui; Brunner, Hermann 4 2020 Extending the unified transform: curvilinear polygons and variable coefficient PDEs. Zbl 1466.65223Colbrook, Matthew J. 4 2020 A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124Meyer, Fabian; Rohde, Christian; Giesselmann, Jan 4 2020 Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates. Zbl 1466.65154Ibdah, Hussain A.; Mondaini, Cecilia F.; Titi, Edriss S. 4 2020 An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods. Zbl 1464.65171Braess, Dietrich; Pechstein, Astrid S.; Schöberl, Joachim 3 2020 Optimal error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system. Zbl 1466.65085Yi, Wenfan; Cai, Yongyong 3 2020 Simple bespoke preservation of two conservation laws. Zbl 1466.65063Frasca-Caccia, Gianluca; Hydon, Peter Ellsworth 3 2020 A mixed DG method and an HDG method for incompressible magnetohydrodynamics. Zbl 1466.65200Qiu, Weifeng; Shi, Ke 3 2020 \(P_1\) finite element methods for an elliptic optimal control problem with pointwise state constraints. 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Zbl 07130807de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia 7 2019 ...and 1544 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 Cited in 680 Journals 1,382 Journal of Computational and Applied Mathematics 891 Applied Mathematics and Computation 724 Applied Numerical Mathematics 705 Computers & Mathematics with Applications 584 Journal of Computational Physics 531 Journal of Scientific Computing 502 Numerische Mathematik 486 Computer Methods in Applied Mechanics and Engineering 475 Numerical Algorithms 433 Mathematics of Computation 337 International Journal of Computer Mathematics 311 SIAM Journal on Numerical Analysis 308 SIAM Journal on Scientific Computing 259 BIT 222 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 215 Advances in Computational Mathematics 193 Linear Algebra and its Applications 179 Numerical Methods for Partial Differential Equations 170 Computational Optimization and Applications 166 Calcolo 153 Journal of Mathematical Analysis and Applications 151 Engineering Analysis with Boundary Elements 143 Applied Mathematics Letters 142 Computational and Applied Mathematics 138 Journal of Mathematical Chemistry 136 Journal of Optimization Theory and Applications 114 Numerical Functional Analysis and Optimization 108 M\(^3\)AS. 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