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) all top 5 Latest Issues 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) 17, No. 2 (1997) 17, No. 1 (1997) 16, No. 4 (1996) 16, No. 3 (1996) 16, No. 2 (1996) ...and 38 more Volumes all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,590 Publications have been cited 20,390 times in 15,127 Documents Cited by ▼ Year ▼ Two-point step size gradient methods. Zbl 0638.65055Barzilai, Jonathan; Borwein, Jonathan M. 533 1988 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 239 2007 A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056Zhang, Li; Zhou, Weijun; Li, Donghui 171 2006 Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006Wu, Zong-Min; Schaback, Robert 167 1993 Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 160 1987 Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063Al-Baali, M. 152 1985 On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045Raydan, Marcos 140 1993 Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036Higham, Nicholas J. 136 2002 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. 131 2010 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 125 2013 \(R\)-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069Dai, Yuhong; Liao, Li-Zhi 122 2002 Finite elements on evolving surfaces. Zbl 1120.65102Dziuk, G.; Elliott, C. M. 116 2007 A new approach to variable selection in least squares problems. Zbl 0962.65036Osborne, M. R.; Presnell, Brett; Turlach, B. A. 110 2000 Numerical methods for \(y''=f(x,y)\) via rational approximations for the cosine. Zbl 0675.65072Coleman, John P. 109 1989 Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122Lin, Qun; Tobiska, Lutz; Zhou, Aihui 105 2005 The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080Beyn, W.-J. 104 1990 \(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052Coleman, John P.; Ixaru, Liviu Gr. 102 1996 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 98 2016 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022Benzi, Michele; Bertaccini, Daniele 95 2008 Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004Todor, Radu Alexandru; Schwab, Christoph 94 2007 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 90 2002 On generalized moving least squares and diffuse derivatives. Zbl 1252.65037Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 89 2012 Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017Hammarling, S. J. 88 1982 Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021Olver, Sheehan 87 2006 Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R. 82 2005 The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016Higham, Nicholas J. 77 2004 Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057Wang, Xinghua 75 2000 Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018Bai, Zhongzhi; Li, Guiqing 75 2003 A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332Wang, Song 71 2004 On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar 70 1997 Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 69 2003 Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076Wathen, A. J. 68 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. 68 1981 The stability of the \(\theta\)-methods in the numerical solution of delay differential equations. Zbl 0693.65056Liu, M. Z.; Spijker, M. N. 65 1990 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 62 2009 Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022Hill, Adrian T.; Süli, Endre 61 2000 Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118Barrett, John W.; Elliott, Charles M. 61 1987 Order conditions for a class of two-step methods for \(y''=f(x,y)\). Zbl 1022.65080Coleman, John P. 60 2003 Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio 59 2003 On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095Lubich, Ch. 59 1983 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 59 2009 Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007Powell, Catherine E.; Elman, Howard C. 59 2009 The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao 58 2006 High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J. 58 1987 Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070Akrivis, Georgios D. 56 1993 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 56 2014 Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann 55 2011 Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087Sanz-Serna, J. M.; Verwer, J. G. 55 1986 Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057Cooper, G. J. 55 1987 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 55 2015 Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061He, Yinnian 55 2015 A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079Simos, T. E. 55 2001 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. 54 2006 Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022Chan, Raymond H. 53 1991 Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J. 53 2017 Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 52 2002 A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076Madden, Niall; Stynes, Martin 52 2003 A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039Yuan, Yaxiang 52 1991 Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043Toint, Ph. L. 51 1988 Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104Zhang, Chengjian; Vandewalle, Stefan 51 2004 Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093Ganesh, M.; Joshi, M. C. 51 1991 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 50 2004 A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar 50 2003 The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143Sloan, I. H.; Spence, A. 49 1988 Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R. 49 2003 Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng 48 2004 The calculation of Hopf points by a direct method. Zbl 0521.65070Griewank, A.; Reddien, G. 48 1983 Solving linear partial differential equations by exponential splitting. Zbl 0676.65116Sheng, Q. 47 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. 47 1998 A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047Li, Qingna; Li, Dong-Hui 46 2011 Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022Amiraslani, A.; Corless, R. M.; Lancaster, P. 46 2009 Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004Gregory, J. A.; Delbourgo, R. 45 1982 Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092Lubich, Ch.; Ostermann, A. 45 1995 Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the \(\gamma\)-condition. Zbl 1094.65052Li, Chong; Wang, Jinhua 45 2006 Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049Dai, Y. H.; Yuan, Y. 44 1996 Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P. 44 2011 The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114Atkinson, K. E. 44 1985 A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126Tang, Tao 43 1993 Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100Toro, E. F.; Billet, S. J. 43 2000 Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128Mustapha, Kassem; Schötzau, Dominik 42 2014 The use of auto-correlation for pseudo-rank determination in noisy ill- conditioned linear least-squares problems. Zbl 0484.65021Baart, M. L. 42 1982 Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013Wendland, Holger 42 2001 \(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101Pani, Amiya K.; Fairweather, Graeme 42 2002 A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097Stynes, Martin; Gracia, José Luis 42 2015 A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133Egger, Herbert; Schöberl, Joachim 41 2010 Matrix completion via an alternating direction method. Zbl 1236.65043Chen, Caihua; He, Bingsheng; Yuan, Xiaoming 41 2012 The discrete collocation method for nonlinear integral equations. Zbl 0771.65090Atkinson, K.; Flores, J. 40 1993 On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems. Zbl 0814.65082Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. 40 1995 \(\varepsilon\)-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. 40 2000 Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134Huang, Chengming 40 2000 A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071Cáceres, Ernesto; Gatica, Gabriel N. 40 2017 Data dependent triangulations for piecewise linear interpolation. Zbl 0699.65004Dyn, Nira; Levin, David; Rippa, Samuel 40 1990 A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem. Zbl 0563.76028Verfürth, R. 40 1984 Approximation of \(1/x\) by exponential sums in \([1, \infty]\). Zbl 1082.65025Braess, Dietrich; Hackbusch, Wolfgang 40 2005 Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116Houston, Paul; Robson, Janice; Süli, Endre 39 2005 Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010Lord, Gabriel J.; Tambue, Antoine 38 2013 A stability analysis of convolution quadratures for Abel-Volterra integral equations. Zbl 0587.65090Lubich, Ch. 38 1986 A second elasticity element using the matrix bubble. Zbl 1232.74101Gopalakrishnan, J.; Guzmán, J. 38 2012 Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise. Zbl 1282.65021Kruse, Raphael 38 2014 An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091Mustapha, Kassem 38 2011 Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. Zbl 1461.65242Stevenson, Rob; Westerdiep, Jan 2 2021 Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. Zbl 1460.65145Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela 2 2021 Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid 2 2021 Adaptive cubic regularization methods with dynamic inexact Hessian information and applications to finite-sum minimization. Zbl 1460.65076Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta 2 2021 Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192Jankuhn, Thomas; Reusken, Arnold 1 2021 Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe 1 2021 On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075Ranocha, Hendrik 1 2021 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 8 2020 Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148Liu, Zhihui; Qiao, Zhonghua 6 2020 Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065Jin, Bangti; Li, Buyang; Zhou, Zhi 5 2020 Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems. Zbl 1465.65130Chaumont-Frelet, Théophile; Nicaise, S. 4 2020 A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098Gunzburger, Max; Iliescu, Traian; Schneier, Michael 3 2020 Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497Blechta, Jan; Málek, Josef; Vohralík, Martin 3 2020 Numerical solution of fractional elliptic stochastic PDEs with spatial white noise. Zbl 1466.65181Bolin, David; Kirchner, Kristin; Kovács, Mihály 3 2020 A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124Meyer, Fabian; Rohde, Christian; Giesselmann, Jan 3 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 3 2020 A virtual element method for a nonlocal Fitzhugh-Nagumo model of cardiac electrophysiology. Zbl 1466.65116Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Sepúlveda, Mauricio 3 2020 Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098Liang, Hui; Brunner, Hermann 2 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 2 2020 Stream function formulation of surface Stokes equations. Zbl 1466.65201Reusken, Arnold 2 2020 A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. Zbl 1466.65197Mora, David; Rivera, Gonzalo 2 2020 Strong order 1/2 convergence of full truncation Euler approximations to the Cox-Ingersoll-Ross process. Zbl 1461.91326Cozma, Andrei; Reisinger, Christoph 2 2020 BPX preconditioners for isogeometric analysis using analysis-suitable T-splines. Zbl 1462.65032Cho, Durkbin; Vázquez, Rafael 2 2020 A mass conserving mixed stress formulation for the Stokes equations. Zbl 1466.65189Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim 2 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 2 2020 Large-time behaviour of a family of finite volume schemes for boundary-driven convection-diffusion equations. Zbl 1467.65088Chainais-Hillairet, Claire; Herda, Maxime 2 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. 2 2020 Petrov-Galerkin space-time \(hp\)-approximation of parabolic equations in \(H^{1/2}\). Zbl 1466.65126Devaud, Denis 2 2020 Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation. Zbl 1466.65127Di Fratta, Giovanni; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard 2 2020 Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems. Zbl 1466.65132Gong, Wei; Li, Buyang 2 2020 Extending the unified transform: curvilinear polygons and variable coefficient PDEs. Zbl 1466.65223Colbrook, Matthew J. 1 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 1 2020 A spectral interpolation scheme on the unit sphere based on the nodes of spherical Lissajous curves. Zbl 1462.65019Erb, Wolfgang 1 2020 A mixed DG method and an HDG method for incompressible magnetohydrodynamics. Zbl 1466.65200Qiu, Weifeng; Shi, Ke 1 2020 Minimal consistent finite element space for the biharmonic equation on quadrilateral grids. Zbl 1466.65208Zhang, Shuo 1 2020 A fully mixed finite element method for the coupling of the Stokes and Darcy-Forchheimer problems. Zbl 1465.65123Almonacid, Javier A.; Díaz, Hugo S.; Gatica, Gabriel N.; Márquez, Antonio 1 2020 On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients. Zbl 1465.65131Chen, Gang; Cui, Jintao 1 2020 \(P_1\) finite element methods for an elliptic optimal control problem with pointwise state constraints. Zbl 1464.65061Brenner, Susanne C.; Sung, Li-yeng; Gedicke, Joscha 1 2020 Analysis and finite element discretization for optimal control of a linear fluid-structure interaction problem with delay. Zbl 1464.76059Peralta, Gilbert; Kunisch, Karl 1 2020 Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic. Zbl 1466.65226Hrycak, Tomasz; Schmutzhard, Sebastian 1 2020 Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method. Zbl 1464.65052Boiger, R.; Leitão, A.; Svaiter, B. F. 1 2020 Optimal error estimates of the unilateral contact problem in a curved and smooth boundary domain by the penalty method. Zbl 1462.65184Dione, Ibrahima 1 2020 Analysis of finite element methods for vector Laplacians on surfaces. Zbl 1466.65190Hansbo, Peter; Larson, Mats G.; Larsson, Karl 1 2020 A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady 1 2020 On the average condition number of tensor rank decompositions. Zbl 1466.15027Breiding, Paul; Vannieuwenhoven, Nick 1 2020 Fast algorithms for Jacobi expansions via nonoscillatory phase functions. 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Zbl 1465.41001Jantsch, Peter; Webster, Clayton G.; Zhang, Guannan 1 2019 ...and 1490 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 Cited in 633 Journals 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. 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