BITNumerical Mathematics Short Title: BIT Publisher: Springer Netherlands, Dordrecht ISSN: 0006-3835; 1572-9125/e Online: https://link.springer.com/journal/10543/volumes-and-issues Predecessor: BIT. Nordisk Tidskrift for Informationsbehandling Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,289 Publications (since 1981) References Indexed: 1,972 Publications with 39,861 References. all top 5 Latest Issues 64, No. 3 (2024) 64, No. 2 (2024) 64, No. 1 (2024) 63, No. 4 (2023) 63, No. 3 (2023) 63, No. 2 (2023) 63, No. 1 (2023) 62, No. 4 (2022) 62, No. 3 (2022) 62, No. 2 (2022) 62, No. 1 (2022) 61, No. 4 (2021) 61, No. 3 (2021) 61, No. 2 (2021) 61, No. 1 (2021) 60, No. 4 (2020) 60, No. 3 (2020) 60, No. 2 (2020) 60, No. 1 (2020) 59, No. 4 (2019) 59, No. 3 (2019) 59, No. 2 (2019) 59, No. 1 (2019) 58, No. 4 (2018) 58, No. 3 (2018) 58, No. 2 (2018) 58, No. 1 (2018) 57, No. 4 (2017) 57, No. 3 (2017) 57, No. 2 (2017) 57, No. 1 (2017) 56, No. 4 (2016) 56, No. 3 (2016) 56, No. 2 (2016) 56, No. 1 (2016) 55, No. 4 (2015) 55, No. 3 (2015) 55, No. 2 (2015) 55, No. 1 (2015) 54, No. 4 (2014) 54, No. 3 (2014) 54, No. 2 (2014) 54, No. 1 (2014) 53, No. 4 (2013) 53, No. 3 (2013) 53, No. 2 (2013) 53, No. 1 (2013) 52, No. 4 (2012) 52, No. 3 (2012) 52, No. 2 (2012) 52, No. 1 (2012) 51, No. 4 (2011) 51, No. 3 (2011) 51, No. 2 (2011) 51, No. 1 (2011) 50, No. 4 (2010) 50, No. 3 (2010) 50, No. 2 (2010) 50, No. 1 (2010) 49, No. 4 (2009) 49, No. 3 (2009) 49, No. 2 (2009) 49, No. 1 (2009) 48, No. 4 (2008) 48, No. 3 (2008) 48, No. 2 (2008) 48, No. 1 (2008) 47, No. 4 (2007) 47, No. 3 (2007) 47, No. 2 (2007) 47, No. 1 (2007) 46, No. 4 (2006) 46, No. 3 (2006) 46, No. 2 (2006) 46, No. 1 (2006) 46, Suppl. 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Alistair 7 Weiner, RĂĽdiger 7 Zha, Hongyuan 6 Axelsson, Axel Owe Holger 6 Bai, Zhongzhi 6 Benzi, Michele 6 Calvetti, Daniela 6 Calvo, Manuel 6 Hochbruck, Marlis 6 Huhtanen, Marko 6 Jeltsch, Rolf 6 Katajainen, Jyrki 6 Lyness, James N. 6 Meurant, GĂ©rard A. 6 Owren, Brynjulf 6 Pryce, John D. 6 Quispel, Gilles Reinout Willem 6 Rabinowitz, Philip 6 Reich, Sebastian 6 Remogna, Sara 6 Renaut, Rosemary Anne 6 Riesel, Hans 6 Schmidt, Jochen Wilhelm 6 Smith, Harry V. 5 Bakaev, Nikolai Yu. 5 Björck, Ă…ke 5 Ceruti, Gianluca 5 Chartier, Philippe 5 Costabile, Francesco Aldo 5 Cuminato, JosĂ© Alberto 5 Espelid, Terje O. 5 Evans, David John 5 Favati, Paola 5 González-Pinto, Severiano 5 Hadjidimos, Apostolos 5 Hoang, Nguyen Si 5 Hong, Jialin 5 Huang, Shou-Hsuan Stephen 5 Huckle, Thomas Kilian 5 in ’t Hout, Karel J. 5 Jahnke, Tobias 5 Jay, Laurent-Olivier 5 Jimenez, Juan Carlos 5 Kloeden, Peter Eris 5 Kovács, Mihály 5 Lee, Richard Chia-Tung 5 MĂĄlqvist, Axel 5 Mazzia, Francesca 5 McLachlan, Robert I. 5 Mitsui, Taketomo 5 Montijano, Juan Ignacio 5 Munthe-Kaas, Hans Z. 5 Nordström, Jan 5 Park, Haesun 5 Peña, Juan Manuel 5 Ramage, Alison ...and 2,547 more Authors all top 5 Fields 1,889 Numerical analysis (65-XX) 391 Ordinary differential equations (34-XX) 339 Partial differential equations (35-XX) 305 Computer science (68-XX) 222 Approximations and expansions (41-XX) 151 Linear and multilinear algebra; matrix theory (15-XX) 126 Probability theory and stochastic processes (60-XX) 79 Dynamical systems and ergodic theory (37-XX) 75 Integral equations (45-XX) 69 Operations research, mathematical programming (90-XX) 59 Fluid mechanics (76-XX) 39 Functions of a complex variable (30-XX) 39 Operator theory (47-XX) 38 Combinatorics (05-XX) 36 Real functions (26-XX) 36 Optics, electromagnetic theory (78-XX) 34 Information and communication theory, circuits (94-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 32 Mechanics of particles and systems (70-XX) 28 Special functions (33-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 26 Mechanics of deformable solids (74-XX) 25 Number theory (11-XX) 25 Statistics (62-XX) 15 Biology and other natural sciences (92-XX) 15 Systems theory; control (93-XX) 14 Field theory and polynomials (12-XX) 14 Integral transforms, operational calculus (44-XX) 13 Convex and discrete geometry (52-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Mathematical logic and foundations (03-XX) 10 General and overarching topics; collections (00-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 History and biography (01-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Quantum theory (81-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Sequences, series, summability (40-XX) 5 Difference and functional equations (39-XX) 5 Functional analysis (46-XX) 5 Geometry (51-XX) 5 Differential geometry (53-XX) 5 Geophysics (86-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Potential theory (31-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,948 Publications have been cited 22,910 times in 16,343 Documents Cited by ▼ Year ▼ Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084 Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir 227 2000 Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265 Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin 198 2014 SOR-like methods for augmented systems. Zbl 0991.65036 Golub, Gene H.; Wu, X.; Yuan, Jin-Yun 180 2001 Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013 Sanz-Serna, J. M. 172 1988 Phase properties of high order, almost P-stable formulae. Zbl 0569.65052 Thomas, R. M. 152 1984 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067 Diethelm, K.; Ford, N. J. 135 2002 A four-step phase-fitted method for the numerical integration of second order initial-value problems. Zbl 0726.65089 Raptis, A. D.; Simos, T. E. 132 1991 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025 Iserles, A.; Nørsett, S. P. 121 2004 Randomized Kaczmarz solver for noisy linear systems. Zbl 1195.65038 Needell, Deanna 117 2010 Error bounds for exponential operator splittings. Zbl 0972.65061 Jahnke, Tobias; Lubich, Christian 111 2000 Contractivity of Runge-Kutta methods. Zbl 0763.65059 Kraaijevanger, J. F. B. M. 108 1991 Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey. Zbl 0573.68018 Arnborg, Stefan 107 1985 Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. Zbl 0861.65035 Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A. 102 1996 Minimum residual methods for augmented systems. Zbl 0914.65026 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 99 1998 Convolution quadrature revisited. Zbl 1083.65123 Lubich, Christian 99 2004 The truncated SVD as a method for regularization. Zbl 0633.65041 Hansen, Per Christian 97 1987 Numerov made explicit has better stability. Zbl 0568.65042 Chawla, M. M. 93 1984 RD-rational approximations of the matrix exponential. Zbl 1075.65062 Moret, I.; Novati, P. 91 2004 Multirate linear multistep methods. Zbl 0555.65046 Gear, C. W.; Wells, D. R. 89 1984 Talbot quadratures and rational approximations. Zbl 1103.65030 Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T. 88 2006 A note on \(Q\)-order of convergence. Zbl 0973.40001 Jay, L. O. 86 2001 The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037 Duff, Iain S.; Meurant, GĂ©rard A. 86 1989 Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093 Hairer, E.; Lubich, Ch.; Roche, M. 84 1988 A weighted pseudoinverse, generalized singular values, and constrained least squares problems. Zbl 0509.65019 Elden, Lars 83 1982 Linear energy-preserving integrators for Poisson systems. Zbl 1216.65175 Cohen, David; Hairer, Ernst 83 2011 Runge-Kutta methods on Lie groups. Zbl 0904.65077 Munthe-Kaas, Hans 82 1998 A PI stepsize control for the numerical solution of ordinary differential equations. Zbl 0645.65039 Gustafsson, Kjell; Lundh, Michael; Söderlind, Gustaf 82 1988 The power of geometric duality. Zbl 0603.68072 Chazelle, Bernard; Guibas, Leo J.; Lee, D. T. 82 1985 Unconditionally stable Noumerov-type methods for second order differential equations. Zbl 0523.65055 Chawla, M. M. 81 1983 Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031 Das, Pratibhamoy; Mehrmann, Volker 80 2016 A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095 Lubich, Christian; Oseledets, Ivan 77 2014 Low-rank tensor completion by Riemannian optimization. Zbl 1300.65040 Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart 75 2014 Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074 Du, Qiang; Zhu, Wenxiang 74 2005 An Arnoldi method for nonlinear eigenvalue problems. Zbl 1066.65059 Voss, H. 73 2004 Intervals of periodicity and absolute stability of explicit Nyström methods for y”=f(x,y). Zbl 0469.65048 Chawla, M. M.; Sharma, S. R. 71 1981 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015 Benzi, Michele; Gander, Martin J.; Golub, Gene H. 69 2003 Positivity of cubic polynomials on intervals and positive spline interpolation. Zbl 0642.41007 Schmidt, Jochen W.; HeĂź, Walter 69 1988 The asymptotic stability of one-parameter methods for neutral differential equations. Zbl 0814.65078 Kuang, J. X.; Xiang, J. X.; Tian, H. J. 68 1994 Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125 Lubich, Ch.; Ostermann, A. 67 1987 Stability analysis of numerical methods for systems of neutral delay-differential equations. Zbl 0841.65062 Hu, Guang-Da; Mitsui, Taketomo 66 1995 Comparison of approximate shape gradients. Zbl 1320.65099 Hiptmair, R.; Paganini, A.; Sargheini, S. 65 2015 A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects. Zbl 1283.65010 Chand, A. K. B.; Viswanathan, P. 65 2013 Least-squares fitting of circles and ellipses. Zbl 0817.65008 Gander, Walter; Golub, Gene H.; Strebel, Rolf 64 1994 Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011 Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu 64 2011 A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. Zbl 0765.65069 in’t Hout, Karel J. 63 1992 The logarithmic norm. History and modern theory. Zbl 1102.65088 Söderlind, Gustaf 62 2006 Tikhonov regularization of large linear problems. Zbl 1038.65048 Calvetti, Daniela; Reichel, Lothar 62 2003 Numerical approximation of vector-valued highly oscillatory integrals. Zbl 1131.65028 Olver, S. 61 2007 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173 Yan, Yubin; Pal, Kamal; Ford, Neville J. 60 2014 New iterations of \(R\)-order four with reduced computational cost. Zbl 1170.65038 Ezquerro, J. A.; Hernández, M. A. 59 2009 A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017 Axelsson, O. 59 1985 A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071 Savcenco, V.; Hundsdorfer, W.; Verwer, J. G. 57 2007 Newton interpolation at Leja points. Zbl 0702.65012 Reichel, Lothar 57 1990 Approximating maximum independent sets by excluding subgraphs. Zbl 0761.68044 Boppana, Ravi; HalldĂłrsson, MagnĂşs M. 56 1992 Modified Clenshaw-Curtis method for the computation of Bessel function integrals. Zbl 0514.65008 Piessens, Robert; Branders, Maria 56 1983 A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041 Björck, Ă…ke 56 1988 \(A\)-stability and stochastic mean-square stability. Zbl 0961.65003 Higham, Desmond J. 55 2000 Adaptive quadrature – Revisited. Zbl 0961.65018 Gander, Walter; Gautschi, Walter 55 2000 Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027 Sommariva, A.; Vianello, M. 54 2007 A class of explicit exponential general linear methods. Zbl 1103.65061 Ostermann, A.; Thalhammer, M.; Wright, W. M. 53 2006 A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030 Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, RaĂşl 53 2015 The stability of rational approximations of analytic semigroups. Zbl 0783.65050 Crouzeix, M.; Larsson, S.; Piskarev, S.; ThomĂ©e, V. 53 1993 Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. Zbl 1078.65552 Layton, Anita T.; Minion, Michael L. 52 2005 High order explicit methods for parabolic equations. Zbl 0909.65060 Medovikov, Alexei A. 52 1998 A simplified HSS preconditioner for generalized saddle point problems. Zbl 1347.65056 Cao, Yang; Ren, Zhi-Ru; Shi, Quan 52 2016 A fourth order method for a singular two-point boundary value problem. Zbl 0636.65079 Chawla, M. M.; Subramanian, R.; Sathi, H. L. 52 1988 A simple structural analysis method for DAEs. Zbl 0989.34005 Pryce, J. D. 52 2001 On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages. Zbl 1187.65076 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 52 2010 Finite difference methods for a nonlocal boundary value problem for the heat equation. Zbl 0738.65074 Ekolin, Gunnar 51 1991 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054 Benzi, Michele; Golub, Gene H. 51 1999 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044 Calvetti, D.; Golub, G. H.; Reichel, L. 51 1999 An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034 Golub, G. H.; Greif, C. 51 2006 Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068 Wu, Xinyuan; Wang, Bin; Xia, Jianlin 50 2012 New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index. Zbl 1093.65097 Rang, J.; Angermann, L. 50 2005 Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071 van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong 50 1991 Multirate partitioned Runge-Kutta methods. Zbl 0990.65081 GĂĽnther, M.; Kværnø, A.; Rentrop, P. 49 2001 A second order backward difference method with variable steps for a parabolic problem. Zbl 0923.65050 Becker, J. 49 1998 Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030 Serra, Stefano 49 1994 Corrections to Lee’s visibility polygon algorithm. Zbl 0643.68098 Joe, B.; Simpson, R. B. 49 1987 Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043 Butcher, J. C.; Jackiewicz, Z. 49 1993 Splitting methods with complex times for parabolic equations. Zbl 1180.65106 Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G. 49 2009 Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050 Golub, G. H.; Meurant, G. 48 1997 Fast construction of the FejĂ©r and Clenshaw-Curtis quadrature rules. Zbl 1091.65028 Waldvogel, Jörg 48 2006 Order \(h^ 2\) method for a singular two-point boundary value problem. Zbl 0602.65063 Chawla, M. M.; McKee, S.; Shaw, G. 48 1986 High order splitting methods for analytic semigroups exist. Zbl 1176.65066 Hansen, Eskil; Ostermann, Alexander 48 2009 ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099 Lang, J.; Verwer, J. 47 2001 A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media. Zbl 1312.65201 Gillman, Adrianna; Barnett, Alex H.; Martinsson, Per-Gunnar 47 2015 Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075 Hochstenbach, Michiel E.; Reichel, Lothar 47 2011 Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018 Xiang, Shuhuang 47 2007 The construction of practical general linear methods. Zbl 1046.65054 Butcher, J. C.; Wright, W. M. 46 2003 Exponential multistep methods of Adams-type. Zbl 1237.65071 Hochbruck, Marlis; Ostermann, Alexander 46 2011 Relationship between tetrahedron shape measures. Zbl 0806.65104 Liu, A.; Joe, B. 46 1994 The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032 Ruhe, Axel 46 1994 On resolvent conditions and stability estimates. Zbl 0731.65043 Lubich, Christian; Nevanlinna, Olavi 46 1991 Bounding solutions of systems of equations using interval analysis. Zbl 0455.65037 Hansen, Eldon; Sengupta, Saumyendra 45 1981 Remarks on Picard-Lindelöf iteration. Zbl 0673.65037 Nevanlinna, Olavi 45 1989 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033 Simoncini, Valeria; EldĂ©n, Lars 44 2002 Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071 Deng, Weihua; Hesthaven, Jan S. 42 2015 Linear barycentric rational quadrature. Zbl 1247.65033 Klein, Georges; Berrut, Jean-Paul 42 2012 Limitations of the \(L\)-curve method in ill-posed problems. Zbl 0849.65039 Hanke, Martin 41 1996 Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. Zbl 1533.65256 Ma, Zheng; Stynes, Martin; Huang, Chengming 1 2024 Low-rank parareal: a low-rank parallel-in-time integrator. Zbl 1530.65074 Carrel, Benjamin; Gander, Martin J.; Vandereycken, Bart 5 2023 AAA interpolation of equispaced data. Zbl 1528.65009 Huybrechs, Daan; Trefethen, Lloyd N. 5 2023 Towards stability results for global radial basis function based quadrature formulas. Zbl 1508.65015 Glaubitz, Jan; Reeger, Jonah A. 4 2023 Singular quadratic eigenvalue problems: linearization and weak condition numbers. Zbl 1508.65033 Kressner, Daniel; Ĺ ain Glibić, Ivana 4 2023 Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics. Zbl 1510.74129 Ye, Changqing; Chung, Eric T. 4 2023 Product integration rules by the constrained mock-Chebyshev least squares operator. Zbl 1516.65015 Dell’Accio, Francesco; Mezzanotte, Domenico; Nudo, Federico; Occorsio, Donatella 4 2023 Low cardinality positive interior cubature on NURBS-shaped domains. Zbl 1514.65018 Sommariva, Alvise; Vianello, Marco 3 2023 On Kosloff Tal-Ezer least-squares quadrature formulas. Zbl 1507.65064 Cappellazzo, G.; Erb, W.; Marchetti, F.; Poggiali, D. 2 2023 Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077 Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan 2 2023 Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations. Zbl 1510.65135 Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan 2 2023 Symmetric-conjugate splitting methods for linear unitary problems. Zbl 1530.65072 Bernier, J.; Blanes, S.; Casas, F.; Escorihuela-TomĂ s, A. 1 2023 Resolving entropy growth from iterative methods. Zbl 1529.65015 Linders, Viktor; Ranocha, Hendrik; Birken, Philipp 1 2023 Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality. Zbl 07741140 Han, Weimin; Jing, Feifei; Yao, Yuan 1 2023 A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations. Zbl 1526.65054 Du, Zhijie; Duan, Huoyuan 1 2023 Deep neural networks on diffeomorphism groups for optimal shape reparametrization. Zbl 1526.65027 Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen N.; Schmeding, Alexander 1 2023 Gaussian rule for integrals involving Bessel functions. Zbl 1532.33009 Denich, Eleonora; Novati, Paolo 1 2023 Galerkin-Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds. Zbl 1537.60059 Lang, Annika; Pereira, Mike 1 2023 Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations. Zbl 1522.65146 Liao, Hong-lin; Tang, Tao; Zhou, Tao 1 2023 Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractionalBrownian motion. Zbl 1518.65016 Zhou, Hao; Hu, Yaozhong; Liu, Yanghui 1 2023 On a large-stepsize integrator for charged-particle dynamics. Zbl 1507.65289 Lubich, Christian; Shi, Yanyan 1 2023 A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems. Zbl 1507.65114 Almuslimani, Ibrahim 1 2023 A fractional Adams-Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data. Zbl 1512.65148 Wang, Yuan-Ming; Xie, Bo 1 2023 Perturbation bounds for stable gyroscopic systems. Zbl 1507.93081 IviÄŤić, Ivana Kuzmanović; Miodragović, Suzana 1 2023 Low regularity integrators for semilinear parabolic equations with maximum bound principles. Zbl 1509.65108 Doan, Cao-Kha; Hoang, Thi-Thao-Phuong; Ju, Lili; Schratz, Katharina 1 2023 Geometric means of quasi-Toeplitz matrices. Zbl 1509.15018 Bini, Dario A.; Iannazzo, Bruno; Meng, Jie 1 2023 An Hermite-Obreschkoff method for stiff high-index DAE. Zbl 1512.65173 Zolfaghari, Reza; Nedialkov, Nedialko S. 1 2023 Proximal gradient algorithm for nonconvex low tubal rank tensor recovery. Zbl 1511.65037 Liu, Yanhui; Zeng, Xueying; Wang, Weiguo 1 2023 Construction of Rosenbrock-Wanner method Rodas5P and numerical benchmarks within the Julia differential equations package. Zbl 1512.65001 Steinebach, Gerd 1 2023 Fast floating-point filters for robust predicates. Zbl 1514.65056 Bartels, Tinko; Fisikopoulos, Vissarion; Weiser, Martin 1 2023 An unconventional robust integrator for dynamical low-rank approximation. Zbl 1481.65068 Ceruti, Gianluca; Lubich, Christian 32 2022 A rank-adaptive robust integrator for dynamical low-rank approximation. Zbl 1507.65116 Ceruti, Gianluca; Kusch, Jonas; Lubich, Christian 24 2022 Embedded exponential-type low-regularity integrators for KdV equation under rough data. Zbl 07569617 Wu, Yifei; Zhao, Xiaofei 13 2022 Randomized Kaczmarz for tensor linear systems. Zbl 1485.65034 Ma, Anna; Molitor, Denali 9 2022 A systematic approach to reduced GLT. Zbl 1495.15035 Barbarino, Giovanni 8 2022 Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes. Zbl 07515303 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 6 2022 Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036 Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco 5 2022 Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. Zbl 1498.65220 Kemmochi, Tomoya; Sato, Shun 5 2022 Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020 Benzi, Michele; Simunec, Igor 5 2022 How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems. Zbl 1503.65208 Cano, B.; Reguera, N. 5 2022 Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. Zbl 1498.65041 Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy 5 2022 A higher order weak approximation of McKean-Vlasov type SDEs. Zbl 1487.35368 Naito, Riu; Yamada, Toshihiro 5 2022 Stability of implicit multiderivative deferred correction methods. Zbl 1507.65121 Zeifang, Jonas; SchĂĽtz, Jochen; Seal, David C. 5 2022 Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. Zbl 1502.15026 Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano; Tablino-Possio, Cristina 4 2022 Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series. Zbl 1503.65149 Penent, Guillaume; Privault, Nicolas 4 2022 Order theory for discrete gradient methods. Zbl 1507.65288 Eidnes, Sølve 4 2022 Color image and video restoration using tensor CP decomposition. Zbl 1505.65172 Bentbib, A. H.; Khouia, A.; Sadok, H. 4 2022 Numerical stability of GrĂĽnwald-Letnikov method for time fractional delay differential equations. Zbl 1498.65112 Li, Lei; Wang, Dongling 3 2022 Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods. Zbl 1486.65248 Gaddam, Sharat; Gudi, Thirupathi; Porwal, Kamana 3 2022 On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem. Zbl 1507.65296 Asadzadeh, M.; Saray, B. N. 3 2022 Well-posedness and numerical schemes for one-dimensional McKean-Vlasov equations and interacting particle systems with discontinuous drift. Zbl 1504.65017 Leobacher, Gunther; Reisinger, Christoph; Stockinger, Wolfgang 3 2022 Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations. Zbl 1507.65083 Benner, Peter; Iannazzo, Bruno; Meini, Beatrice; Palitta, Davide 3 2022 On the quadrature exactness in hyperinterpolation. Zbl 1503.65052 An, Congpei; Wu, Hao-Ning 3 2022 A dimension expanded preconditioning technique for saddle point problems. Zbl 1503.65060 Luo, Wei-Hua; Gu, Xian-Ming; Carpentieri, Bruno 3 2022 Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants. Zbl 1504.65012 Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua 3 2022 Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations. Zbl 1496.65009 Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig 2 2022 Multirate linearly-implicit GARK schemes. Zbl 1507.65122 GĂĽnther, Michael; Sandu, Adrian 2 2022 Automatic fidelity and regularization terms selection in variational image restoration. Zbl 07569613 Lanza, A.; Pragliola, M.; Sgallari, F. 2 2022 Homogeneous multigrid for embedded discontinuous Galerkin methods. Zbl 1502.65249 Lu, Peipei; Rupp, Andreas; Kanschat, Guido 2 2022 WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment. Zbl 1495.65126 Arnold, Anton; Klein, Christian; Ujvari, Bernhard 2 2022 Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction. Zbl 1485.65080 Koyaguerebo-ImĂ©, Saint-Cyr E. 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Zbl 1485.15031 Begović KovaÄŤ, Erna 1 2022 Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices. Zbl 1485.65049 Massei, Stefano 1 2022 Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula. Zbl 1492.65272 Reddy, G. Murali Mohan 1 2022 Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation. Zbl 1493.65183 BrandĂ©n, Henrik 1 2022 Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model. Zbl 1497.37101 Hong, Jialin; Ji, Lihai; Wang, Xu; Zhang, Jingjing 1 2022 An accelerated minimal gradient method with momentum for strictly convex quadratic optimization. Zbl 1491.90113 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 1 2022 A fully structured preconditioner for a class of complex symmetric indefinite linear systems. Zbl 1498.65044 Zheng, Zhong; Chen, Jing; Chen, Yue-Fen 1 2022 Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual. Zbl 1503.41002 Annaby, M. H.; Elsayed-Abdullah, S. R. 1 2022 A new class of structure-preserving stochastic exponential Runge-Kutta integrators for stochastic differential equations. Zbl 1504.65019 Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Ding, Xiaohua 1 2022 Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics. Zbl 1502.35169 Aduamoah, Mildred; Goddard, Benjamin D.; Pearson, John W.; Roden, Jonna C. 1 2022 Effective grading refinement for locally linearly independent LR B-splines. Zbl 1503.65031 Patrizi, Francesco 1 2022 Solving large linear least squares problems with linear equality constraints. Zbl 1505.65171 Scott, Jennifer; TĹŻma, Miroslav 1 2022 Automatic balancing parameter selection for Tikhonov-TV regularization. Zbl 1503.65079 Gholami, Ali; Gazzola, Silvia 1 2022 Higher strong order methods for linear ItĂ´ SDEs on matrix Lie groups. Zbl 1507.65033 Muniz, Michelle; Ehrhardt, Matthias; GĂĽnther, Michael; Winkler, Renate 1 2022 Multilevel Monte Carlo estimators for elliptic PDEs with LĂ©vy-type diffusion coefficient. Zbl 1509.65117 Merkle, Robin; Barth, Andrea 1 2022 Randomized Kaczmarz with averaging. Zbl 1460.15005 Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna 25 2021 Rational Krylov for Stieltjes matrix functions: convergence and pole selection. Zbl 1461.65064 Massei, Stefano; Robol, Leonardo 13 2021 Dirichlet-Neumann waveform relaxation methods for parabolic and hyperbolic problems in multiple subdomains. Zbl 1466.65111 Gander, Martin J.; Kwok, Felix; Mandal, Bankim C. 10 2021 Runge-Kutta Lawson schemes for stochastic differential equations. Zbl 1489.65014 Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua 10 2021 A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. Zbl 1472.65159 Wang, Bin; Wu, Xinyuan 10 2021 Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. Zbl 1461.65026 af Klinteberg, Ludvig; Barnett, Alex H. 9 2021 Efficient exponential Runge-Kutta methods of high order: construction and implementation. Zbl 1471.65069 Luan, Vu Thai 8 2021 Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169 Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B. 8 2021 Block boundary value methods for linear weakly singular Volterra integro-differential equations. Zbl 1472.65170 Zhou, Yongtao; Stynes, Martin 7 2021 An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. Zbl 1481.65168 Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming 7 2021 Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 1530.65143 Sun, Jing; Nie, Daxin; Deng, Weihua 7 2021 A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 1534.65220 Zheng, Xiangcheng; Wang, Hong 6 2021 A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. Zbl 1460.35326 Henning, Patrick; WärnegĂĄrd, Johan 5 2021 Simple formula for integration of polynomials on a simplex. Zbl 1470.65033 Lasserre, Jean B. 5 2021 Variational time discretizations of higher order and higher regularity. Zbl 1472.65082 Becher, Simon; Matthies, Gunar 5 2021 Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. Zbl 1460.65115 Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong 4 2021 Asymptotic preserving trigonometric integrators for the quantum Zakharov system. Zbl 1466.65162 Baumstark, Simon; Schratz, Katharina 4 2021 A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems. Zbl 1461.65255 Zhang, Yabin; Gillman, Adrianna 4 2021 ...and 1619 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,546 Authors 183 Simos, Theodore E. 154 Reichel, Lothar 75 Serra-Capizzano, Stefano 75 Wei, Yimin 72 Jackiewicz, Zdzislaw 71 Argyros, Ioannis Konstantinos 65 Wu, Xinyuan 57 Huang, Ting-Zhu 52 Dehghan Takht Fooladi, Mehdi 52 Weiner, RĂĽdiger 51 Lubich, Christian 51 Wang, Wansheng 50 Ostermann, Alexander 50 Wang, Bin 49 D’Ambrosio, Raffaele 49 Zhang, Chengjian 48 Huang, Chengming 46 Chand, Arya Kumar Bedabrata 46 Spalević, Miodrag M. 46 Xiang, Shuhuang 43 Burrage, Kevin 41 Simoncini, Valeria 40 Paternoster, Beatrice 40 Zhang, Guofeng 39 Jia, Zhongxiao 38 Abdi, Ali 38 Gander, Martin Jakob 38 Hairer, Ernst 38 Li, Shoufu 37 Donatelli, Marco 36 Blanes, Sergio 35 Bai, Zhongzhi 35 Butcher, John C. 35 Xiao, Aiguo 33 Gan, Siqing 33 Owolabi, Kolade Matthew 32 Kressner, Daniel 32 Petković, Miodrag S. 32 Spijker, Marc N. 32 Vianello, Marco 32 Zhang, Zhimin 31 Ma, Changfeng 30 Einkemmer, Lukas 30 Jiang, Yaolin 30 Sharma, Janak Raj 30 Sun, Haiwei 29 Casas, Fernando 29 Mao, Xuerong 29 Sandu, Adrian 29 Sgallari, Fiorella 29 Wen, Liping 29 Zhao, Jingjun 28 Conte, Dajana 28 Gu, Xian-Ming 28 Hadjidimos, Apostolos 28 Li, Rencang 27 Buccini, Alessandro 27 Celledoni, Elena 27 Hojjati, Gholamreza 27 Jbilou, Khalide 27 Li, Buyang 27 Li, Hanyu 27 Owren, Brynjulf 27 Sommariva, Alvise 27 Tsitouras, Charalampos 27 Xu, Yang 26 Brugnano, Luigi 26 González-Pinto, Severiano 26 Ju, Lili 26 Liu, Mingzhu 26 Minion, Michael L. 26 Tian, Hongjiong 25 Auzinger, Winfried 25 Cao, Yang 25 De Marchi, Stefano 25 Ding, Xiaohua 25 Iserles, Arieh 25 Jin, Xiaoqing 25 Khaliq, Abdul Q. M. 25 Milovanović, Gradimir V. 24 Axelsson, Axel Owe Holger 24 Benzi, Michele 24 Garrappa, Roberto 24 Hansen, Per Christian 24 Hundsdorfer, Willem H. 24 Kloeden, Peter Eris 24 Sanz-Serna, JesĂşs MarĂa 23 Conti, Costanza 23 Diao, Huaian 23 Higham, Nicholas J. 23 Ketcheson, David I. 23 Liang, Zhaozheng 23 Montijano, Juan Ignacio 23 Murua, Ander 23 Roul, Pradip 23 Spence, Euan A. 23 Thalhammer, Mechthild 23 Wu, Yujiang 23 Yang, Aili 22 Chen, Hao ...and 16,446 more Authors all top 5 Cited in 816 Journals 1,403 Journal of Computational and Applied Mathematics 870 BIT 777 Applied Numerical Mathematics 752 Applied Mathematics and Computation 618 Journal of Computational Physics 578 Numerical Algorithms 480 Computers & Mathematics with Applications 428 Linear Algebra and its Applications 400 Journal of Scientific Computing 391 SIAM Journal on Scientific Computing 354 International Journal of Computer Mathematics 317 Numerische Mathematik 258 Mathematics of Computation 239 Computer Methods in Applied Mechanics and Engineering 231 Numerical Linear Algebra with Applications 187 SIAM Journal on Numerical Analysis 173 SIAM Journal on Matrix Analysis and Applications 160 Computational and Applied Mathematics 158 Mathematics and Computers in Simulation 154 Journal of Mathematical Chemistry 136 Applied Mathematics Letters 135 Advances in Computational Mathematics 128 Calcolo 118 Computer Physics Communications 116 Journal of Mathematical Analysis and Applications 116 Mathematical Methods in the Applied Sciences 116 Numerical Methods for Partial Differential Equations 115 Computing 107 Theoretical Computer Science 106 Communications in Nonlinear Science and Numerical Simulation 86 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 79 International Journal for Numerical Methods in Engineering 79 Journal of Applied Mathematics and Computing 76 Information Processing Letters 71 Computer Aided Geometric Design 69 ETNA. 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