Akrivis, Georgios; Chen, Minghua; Han, Jianxing; Yu, Fan; Zhang, Zhimin The variable two-step BDF method for parabolic equations. (English) Zbl 07813314 BIT 64, No. 1, Paper No. 14, 21 p. (2024). MSC: 65L05 34A12 PDFBibTeX XMLCite \textit{G. Akrivis} et al., BIT 64, No. 1, Paper No. 14, 21 p. (2024; Zbl 07813314) Full Text: DOI OA License
Adjerid, Slimane; Lin, Tao; Meghaichi, Haroun A unified immersed finite element error analysis for one-dimensional interface problems. (English) Zbl 07813313 BIT 64, No. 1, Paper No. 13, 40 p. (2024). MSC: 65M60 65N30 65N15 65L15 65L60 35L02 35J15 35Q74 PDFBibTeX XMLCite \textit{S. Adjerid} et al., BIT 64, No. 1, Paper No. 13, 40 p. (2024; Zbl 07813313) Full Text: DOI arXiv OA License
Ma, Zheng; Stynes, Martin; Huang, Chengming Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. (English) Zbl 07807778 BIT 64, No. 1, Paper No. 9, 28 p. (2024). MSC: 65L60 65R20 PDFBibTeX XMLCite \textit{Z. Ma} et al., BIT 64, No. 1, Paper No. 9, 28 p. (2024; Zbl 07807778) Full Text: DOI
Wang, Bin; Jiang, Yaolin Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems. (English) Zbl 07807774 BIT 64, No. 1, Paper No. 6, 34 p. (2024). MSC: 65L04 34E13 65L05 65L20 65L70 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Y. Jiang}, BIT 64, No. 1, Paper No. 6, 34 p. (2024; Zbl 07807774) Full Text: DOI
Bernier, J.; Blanes, S.; Casas, F.; Escorihuela-Tomàs, A. Symmetric-conjugate splitting methods for linear unitary problems. (English) Zbl 07782834 BIT 63, No. 4, Paper No. 58, 26 p. (2023). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{J. Bernier} et al., BIT 63, No. 4, Paper No. 58, 26 p. (2023; Zbl 07782834) Full Text: DOI arXiv OA License
Jay, Laurent O.; Sokratova, Olga A note on approximate Jacobians of implicit Runge-Kutta methods and convergence of modified Newton iterations. (English) Zbl 07771237 BIT 63, No. 4, Paper No. 54, 15 p. (2023). MSC: 65L05 65L06 65L80 70F20 70H03 70H05 70H45 PDFBibTeX XMLCite \textit{L. O. Jay} and \textit{O. Sokratova}, BIT 63, No. 4, Paper No. 54, 15 p. (2023; Zbl 07771237) Full Text: DOI
Galindo-Olarte, Andrés; Huang, Juntao; Ryan, Jennifer; Cheng, Yingda Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. (English) Zbl 07760988 BIT 63, No. 4, Paper No. 52, 34 p. (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M60 65M20 65L06 65M12 65M15 82D10 78A25 35Q83 35Q60 35R60 PDFBibTeX XMLCite \textit{A. Galindo-Olarte} et al., BIT 63, No. 4, Paper No. 52, 34 p. (2023; Zbl 07760988) Full Text: DOI arXiv
Linders, Viktor; Ranocha, Hendrik; Birken, Philipp Resolving entropy growth from iterative methods. (English) Zbl 07741139 BIT 63, No. 4, Paper No. 45, 26 p. (2023). MSC: 65M06 65N06 65L06 65N22 65M12 65M15 65N22 65H10 65F10 PDFBibTeX XMLCite \textit{V. Linders} et al., BIT 63, No. 4, Paper No. 45, 26 p. (2023; Zbl 07741139) Full Text: DOI arXiv OA License
Zhou, Hao; Hu, Yaozhong; Liu, Yanghui Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractionalBrownian motion. (English) Zbl 1518.65016 BIT 63, No. 3, Paper No. 40, 37 p. (2023). MSC: 65C30 60H10 60H35 PDFBibTeX XMLCite \textit{H. Zhou} et al., BIT 63, No. 3, Paper No. 40, 37 p. (2023; Zbl 1518.65016) Full Text: DOI arXiv
Kelly, Cónall; Lord, Gabriel J.; Sun, Fandi Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients. (English) Zbl 07692055 BIT 63, No. 2, Paper No. 33, 37 p. (2023). MSC: 60H35 65C30 60H10 PDFBibTeX XMLCite \textit{C. Kelly} et al., BIT 63, No. 2, Paper No. 33, 37 p. (2023; Zbl 07692055) Full Text: DOI arXiv
Kunkel, Peter; Mehrmann, Volker Discretization of inherent ODEs and the geometric integration of DAEs with symmetries. (English) Zbl 1517.65066 BIT 63, No. 2, Paper No. 29, 24 p. (2023). MSC: 65L80 65L05 65P10 37J06 37M15 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, BIT 63, No. 2, Paper No. 29, 24 p. (2023; Zbl 1517.65066) Full Text: DOI arXiv
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations. (English) Zbl 1510.65135 BIT 63, No. 1, Paper No. 9, 24 p. (2023). MSC: 65L04 65L05 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., BIT 63, No. 1, Paper No. 9, 24 p. (2023; Zbl 1510.65135) Full Text: DOI
Hajduk, Hennes; Rupp, Andreas Analysis of algebraic flux correction schemes for semi-discrete advection problems. (English) Zbl 1508.65129 BIT 63, No. 1, Paper No. 8, 29 p. (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65M60 65M06 65N30 65L06 65M12 65M15 PDFBibTeX XMLCite \textit{H. Hajduk} and \textit{A. Rupp}, BIT 63, No. 1, Paper No. 8, 29 p. (2023; Zbl 1508.65129) Full Text: DOI
Wang, Yuan-Ming; Xie, Bo A fractional Adams-Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data. (English) Zbl 1512.65148 BIT 63, No. 1, Paper No. 7, 40 p. (2023). MSC: 65L06 34A08 65L05 65L20 65L70 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{B. Xie}, BIT 63, No. 1, Paper No. 7, 40 p. (2023; Zbl 1512.65148) Full Text: DOI
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan Dynamical low-rank integrators for second-order matrix differential equations. (English) Zbl 1508.65077 BIT 63, No. 1, Paper No. 4, 21 p. (2023). MSC: 65L04 65L05 65L70 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., BIT 63, No. 1, Paper No. 4, 21 p. (2023; Zbl 1508.65077) Full Text: DOI
Almuslimani, Ibrahim A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems. (English) Zbl 1507.65114 BIT 63, No. 1, Paper No. 3, 25 p. (2023). MSC: 65L04 65L06 65L20 PDFBibTeX XMLCite \textit{I. Almuslimani}, BIT 63, No. 1, Paper No. 3, 25 p. (2023; Zbl 1507.65114) Full Text: DOI arXiv
Lubich, Christian; Shi, Yanyan On a large-stepsize integrator for charged-particle dynamics. (English) Zbl 1507.65289 BIT 63, No. 1, Paper No. 14, 17 p. (2023). MSC: 65P10 65L11 65L20 78A35 PDFBibTeX XMLCite \textit{C. Lubich} and \textit{Y. Shi}, BIT 63, No. 1, Paper No. 14, 17 p. (2023; Zbl 1507.65289) Full Text: DOI arXiv
Carrel, Benjamin; Gander, Martin J.; Vandereycken, Bart Low-rank parareal: a low-rank parallel-in-time integrator. (English) Zbl 07654455 BIT 63, No. 1, Paper No. 13, 24 p. (2023). MSC: 65L05 65L20 65L70 68W10 65F45 65F55 PDFBibTeX XMLCite \textit{B. Carrel} et al., BIT 63, No. 1, Paper No. 13, 24 p. (2023; Zbl 07654455) Full Text: DOI arXiv
Penent, Guillaume; Privault, Nicolas Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series. (English) Zbl 1503.65149 BIT 62, No. 4, 1921-1944 (2022). MSC: 65L06 65C05 PDFBibTeX XMLCite \textit{G. Penent} and \textit{N. Privault}, BIT 62, No. 4, 1921--1944 (2022; Zbl 1503.65149) Full Text: DOI arXiv
da Silva, Clauson Carvalho; Lessig, Christian Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems. (English) Zbl 1503.65148 BIT 62, No. 4, 1823-1840 (2022). MSC: 65L06 65P10 PDFBibTeX XMLCite \textit{C. C. da Silva} and \textit{C. Lessig}, BIT 62, No. 4, 1823--1840 (2022; Zbl 1503.65148) Full Text: DOI arXiv
Bourgault, Yves; Garon, André Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations. (English) Zbl 1506.65095 BIT 62, No. 4, 1789-1822 (2022). MSC: 65L04 65L05 65L12 65L20 PDFBibTeX XMLCite \textit{Y. Bourgault} and \textit{A. Garon}, BIT 62, No. 4, 1789--1822 (2022; Zbl 1506.65095) Full Text: DOI
Calvo, Maria Cabrera; Schratz, Katharina Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter. (English) Zbl 1502.65158 BIT 62, No. 4, 1625-1647 (2022). MSC: 65M70 65M06 65N35 65L05 65M12 65M15 41A58 35Q53 PDFBibTeX XMLCite \textit{M. C. Calvo} and \textit{K. Schratz}, BIT 62, No. 4, 1625--1647 (2022; Zbl 1502.65158) Full Text: DOI arXiv
Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Ding, Xiaohua A new class of structure-preserving stochastic exponential Runge-Kutta integrators for stochastic differential equations. (English) Zbl 1504.65019 BIT 62, No. 4, 1591-1623 (2022). MSC: 65C30 60H35 60H10 65P10 65L06 PDFBibTeX XMLCite \textit{G. Yang} et al., BIT 62, No. 4, 1591--1623 (2022; Zbl 1504.65019) Full Text: DOI
Liu, Zhihui \(L^p\)-convergence rate of backward Euler schemes for monotone SDEs. (English) Zbl 1507.65032 BIT 62, No. 4, 1573-1590 (2022). MSC: 65C30 60H35 60H15 60H10 65M60 PDFBibTeX XMLCite \textit{Z. Liu}, BIT 62, No. 4, 1573--1590 (2022; Zbl 1507.65032) Full Text: DOI arXiv
Zeifang, Jonas; Schütz, Jochen; Seal, David C. Stability of implicit multiderivative deferred correction methods. (English) Zbl 1507.65121 BIT 62, No. 4, 1487-1503 (2022). MSC: 65L05 65L06 65L04 65L20 PDFBibTeX XMLCite \textit{J. Zeifang} et al., BIT 62, No. 4, 1487--1503 (2022; Zbl 1507.65121) Full Text: DOI
Asadzadeh, M.; Saray, B. N. On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem. (English) Zbl 1507.65296 BIT 62, No. 4, 1383-1416 (2022). MSC: 65R20 34A08 42C40 65L60 74S25 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{B. N. Saray}, BIT 62, No. 4, 1383--1416 (2022; Zbl 1507.65296) Full Text: DOI
Eidnes, Sølve Order theory for discrete gradient methods. (English) Zbl 1507.65288 BIT 62, No. 4, 1207-1255 (2022). MSC: 65P10 37M15 65L05 68T07 PDFBibTeX XMLCite \textit{S. Eidnes}, BIT 62, No. 4, 1207--1255 (2022; Zbl 1507.65288) Full Text: DOI arXiv
Ceruti, Gianluca; Kusch, Jonas; Lubich, Christian A rank-adaptive robust integrator for dynamical low-rank approximation. (English) Zbl 1507.65116 BIT 62, No. 4, 1149-1174 (2022). MSC: 65L05 15A69 65L20 65L70 65F55 PDFBibTeX XMLCite \textit{G. Ceruti} et al., BIT 62, No. 4, 1149--1174 (2022; Zbl 1507.65116) Full Text: DOI arXiv
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants. (English) Zbl 1504.65012 BIT 62, No. 4, 1121-1147 (2022). MSC: 65C30 60H35 60H10 65L05 65L06 PDFBibTeX XMLCite \textit{K. Debrabant} et al., BIT 62, No. 4, 1121--1147 (2022; Zbl 1504.65012) Full Text: DOI arXiv
Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate Higher strong order methods for linear Itô SDEs on matrix Lie groups. (English) Zbl 1507.65033 BIT 62, No. 4, 1095-1119 (2022). MSC: 65C30 60H10 60H35 65L06 65P10 PDFBibTeX XMLCite \textit{M. Muniz} et al., BIT 62, No. 4, 1095--1119 (2022; Zbl 1507.65033) Full Text: DOI arXiv
Wu, Yifei; Zhao, Xiaofei Embedded exponential-type low-regularity integrators for KdV equation under rough data. (English) Zbl 07569617 BIT 62, No. 3, 1049-1090 (2022). MSC: 65Mxx 65L05 65L20 65L70 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{X. Zhao}, BIT 62, No. 3, 1049--1090 (2022; Zbl 07569617) Full Text: DOI arXiv
Li, Lei; Wang, Dongling Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations. (English) Zbl 1498.65112 BIT 62, No. 3, 995-1027 (2022). MSC: 65L03 34A08 65L20 PDFBibTeX XMLCite \textit{L. Li} and \textit{D. Wang}, BIT 62, No. 3, 995--1027 (2022; Zbl 1498.65112) Full Text: DOI arXiv
Kemmochi, Tomoya; Sato, Shun Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. (English) Zbl 1498.65220 BIT 62, No. 3, 903-930 (2022). MSC: 65P10 65L05 65M20 PDFBibTeX XMLCite \textit{T. Kemmochi} and \textit{S. Sato}, BIT 62, No. 3, 903--930 (2022; Zbl 1498.65220) Full Text: DOI arXiv
Günther, Michael; Sandu, Adrian Multirate linearly-implicit GARK schemes. (English) Zbl 1507.65122 BIT 62, No. 3, 869-901 (2022). Reviewer: Higinio Ramos (Zamora) MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{M. Günther} and \textit{A. Sandu}, BIT 62, No. 3, 869--901 (2022; Zbl 1507.65122) Full Text: DOI arXiv
Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations. (English) Zbl 1496.65009 BIT 62, No. 3, 803-848 (2022). MSC: 65C30 60H10 34F05 60H35 PDFBibTeX XMLCite \textit{M. Eisenmann} et al., BIT 62, No. 3, 803--848 (2022; Zbl 1496.65009) Full Text: DOI arXiv
Bazavov, Alexei Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. (English) Zbl 1502.65042 BIT 62, No. 3, 745-771 (2022). MSC: 65L06 65L05 65P10 34C40 37M15 PDFBibTeX XMLCite \textit{A. Bazavov}, BIT 62, No. 3, 745--771 (2022; Zbl 1502.65042) Full Text: DOI arXiv
Wahlsten, Markus; Ålund, Oskar; Nordström, Jan An efficient hybrid method for uncertainty quantification. (English) Zbl 1496.65171 BIT 62, No. 2, 607-629 (2022). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M06 65L06 65N30 60H35 35R60 35L04 65D30 PDFBibTeX XMLCite \textit{M. Wahlsten} et al., BIT 62, No. 2, 607--629 (2022; Zbl 1496.65171) Full Text: DOI
Hong, Jialin; Ji, Lihai; Wang, Xu; Zhang, Jingjing Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model. (English) Zbl 1497.37101 BIT 62, No. 2, 493-520 (2022). MSC: 37M15 65P10 65L06 65C30 PDFBibTeX XMLCite \textit{J. Hong} et al., BIT 62, No. 2, 493--520 (2022; Zbl 1497.37101) Full Text: DOI
Cano, B.; Reguera, N. How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems. (English) Zbl 1503.65208 BIT 62, No. 2, 431-463 (2022). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65M20 65L06 65M12 PDFBibTeX XMLCite \textit{B. Cano} and \textit{N. Reguera}, BIT 62, No. 2, 431--463 (2022; Zbl 1503.65208) Full Text: DOI arXiv
Billaud-Friess, Marie; Falcó, Antonio; Nouy, Anthony A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds. (English) Zbl 1494.65019 BIT 62, No. 2, 387-408 (2022). MSC: 65F55 65L05 65L20 PDFBibTeX XMLCite \textit{M. Billaud-Friess} et al., BIT 62, No. 2, 387--408 (2022; Zbl 1494.65019) Full Text: DOI arXiv
Annaby, M. H.; Elsayed-Abdullah, S. R. Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual. (English) Zbl 1503.41002 BIT 62, No. 2, 339-356 (2022). MSC: 41A05 34B27 65D05 PDFBibTeX XMLCite \textit{M. H. Annaby} and \textit{S. R. Elsayed-Abdullah}, BIT 62, No. 2, 339--356 (2022; Zbl 1503.41002) Full Text: DOI
Koyaguerebo-Imé, Saint-Cyr E. R.; Bourgault, Yves Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction. (English) Zbl 1485.65080 BIT 62, No. 1, 139-170 (2022). MSC: 65L05 65L04 65B05 65L12 65L20 PDFBibTeX XMLCite \textit{S.-C. E. R. Koyaguerebo-Imé} and \textit{Y. Bourgault}, BIT 62, No. 1, 139--170 (2022; Zbl 1485.65080) Full Text: DOI arXiv
Sato Martín de Almagro, Rodrigo T. Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index \(2\). (English) Zbl 1485.65127 BIT 62, No. 1, 45-67 (2022). MSC: 65P10 65L80 65L06 70G45 70Hxx PDFBibTeX XMLCite \textit{R. T. Sato Martín de Almagro}, BIT 62, No. 1, 45--67 (2022; Zbl 1485.65127) Full Text: DOI arXiv
Ceruti, Gianluca; Lubich, Christian An unconventional robust integrator for dynamical low-rank approximation. (English) Zbl 1481.65068 BIT 62, No. 1, 23-44 (2022). MSC: 65F55 65L05 65L20 65L70 15A69 PDFBibTeX XMLCite \textit{G. Ceruti} and \textit{C. Lubich}, BIT 62, No. 1, 23--44 (2022; Zbl 1481.65068) Full Text: DOI arXiv
Arnold, Anton; Klein, Christian; Ujvari, Bernhard WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment. (English) Zbl 1495.65126 BIT 62, No. 1, 1-22 (2022). MSC: 65L60 34L40 34E20 81Q20 PDFBibTeX XMLCite \textit{A. Arnold} et al., BIT 62, No. 1, 1--22 (2022; Zbl 1495.65126) Full Text: DOI arXiv
Galtung, Sondre Tesdal; Grunert, Katrin A numerical study of variational discretizations of the Camassa-Holm equation. (English) Zbl 1477.35212 BIT 61, No. 4, 1271-1309 (2021). MSC: 35Q51 65M22 65L05 65M06 65M70 35C08 PDFBibTeX XMLCite \textit{S. T. Galtung} and \textit{K. Grunert}, BIT 61, No. 4, 1271--1309 (2021; Zbl 1477.35212) Full Text: DOI arXiv
Deligiannidis, G.; Maurer, S.; Tretyakov, M. V. Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation. (English) Zbl 1493.65019 BIT 61, No. 4, 1223-1269 (2021). MSC: 65C30 60H10 35R09 60H35 60G50 PDFBibTeX XMLCite \textit{G. Deligiannidis} et al., BIT 61, No. 4, 1223--1269 (2021; Zbl 1493.65019) Full Text: DOI arXiv
Cai, Yongyong; Guo, Yichen Uniformly accurate nested Picard integrators for a system of oscillatory ordinary differential equations. (English) Zbl 1484.65145 BIT 61, No. 4, 1115-1152 (2021). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{Y. Guo}, BIT 61, No. 4, 1115--1152 (2021; Zbl 1484.65145) Full Text: DOI
Wang, Bin; Wu, Xinyuan A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. (English) Zbl 1472.65159 BIT 61, No. 3, 977-1004 (2021). MSC: 65P10 65L05 65L06 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, BIT 61, No. 3, 977--1004 (2021; Zbl 1472.65159) Full Text: DOI arXiv
Jin, Sixian; Kobayashi, Kei Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators. (English) Zbl 1472.65013 BIT 61, No. 3, 829-857 (2021). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{S. Jin} and \textit{K. Kobayashi}, BIT 61, No. 3, 829--857 (2021; Zbl 1472.65013) Full Text: DOI arXiv
Becher, Simon; Matthies, Gunar Variational time discretizations of higher order and higher regularity. (English) Zbl 1472.65082 BIT 61, No. 3, 721-755 (2021). MSC: 65L05 65L20 65L60 65M20 PDFBibTeX XMLCite \textit{S. Becher} and \textit{G. Matthies}, BIT 61, No. 3, 721--755 (2021; Zbl 1472.65082) Full Text: DOI arXiv
Zhou, Yongtao; Stynes, Martin Block boundary value methods for linear weakly singular Volterra integro-differential equations. (English) Zbl 1472.65170 BIT 61, No. 2, 691-720 (2021). MSC: 65R20 65L05 65L12 65L20 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{M. Stynes}, BIT 61, No. 2, 691--720 (2021; Zbl 1472.65170) Full Text: DOI
Luan, Vu Thai Efficient exponential Runge-Kutta methods of high order: construction and implementation. (English) Zbl 1471.65069 BIT 61, No. 2, 535-560 (2021). MSC: 65L04 65L05 65L06 65M20 PDFBibTeX XMLCite \textit{V. T. Luan}, BIT 61, No. 2, 535--560 (2021; Zbl 1471.65069) Full Text: DOI arXiv
Ito, Shin-ichi; Matsuda, Takeru; Miyatake, Yuto Adjoint-based exact Hessian computation. (English) Zbl 1470.65126 BIT 61, No. 2, 503-522 (2021). MSC: 65L05 65L06 65F10 65K10 65P10 49M25 PDFBibTeX XMLCite \textit{S.-i. Ito} et al., BIT 61, No. 2, 503--522 (2021; Zbl 1470.65126) Full Text: DOI arXiv
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua Runge-Kutta Lawson schemes for stochastic differential equations. (English) Zbl 1489.65014 BIT 61, No. 2, 381-409 (2021). Reviewer: Kevin Burrage (Brisbane) MSC: 65C30 60H35 60H10 65L20 PDFBibTeX XMLCite \textit{K. Debrabant} et al., BIT 61, No. 2, 381--409 (2021; Zbl 1489.65014) Full Text: DOI arXiv
Chaudhry, Jehanzeb H.; Estep, Donald; Stevens, Zachary; Tavener, Simon J. Error estimation and uncertainty quantification for first time to a threshold value. (English) Zbl 1461.65204 BIT 61, No. 1, 275-307 (2021). MSC: 65L05 65L70 65C05 PDFBibTeX XMLCite \textit{J. H. Chaudhry} et al., BIT 61, No. 1, 275--307 (2021; Zbl 1461.65204) Full Text: DOI arXiv
Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C. Explicit stabilised gradient descent for faster strongly convex optimisation. (English) Zbl 1462.90089 BIT 61, No. 1, 119-139 (2021). MSC: 90C25 65L20 PDFBibTeX XMLCite \textit{A. Eftekhari} et al., BIT 61, No. 1, 119--139 (2021; Zbl 1462.90089) Full Text: DOI arXiv
Fu, Taibai; Zheng, Zhoushun; Duan, Beiping Variational formulation for fractional inhomogeneous boundary value problems. (English) Zbl 1459.65219 BIT 60, No. 4, 1203-1219 (2020). Reviewer: Dana Černá (Liberec) MSC: 65N30 26A33 34A08 65L60 65L20 65L70 35A15 35A01 35A02 35B35 PDFBibTeX XMLCite \textit{T. Fu} et al., BIT 60, No. 4, 1203--1219 (2020; Zbl 1459.65219) Full Text: DOI
Deng, Chang-Song; Liu, Wei Semi-implicit Euler-Maruyama method for non-linear time-changed stochastic differential equations. (English) Zbl 1469.65028 BIT 60, No. 4, 1133-1151 (2020). MSC: 65C30 60H10 60J60 PDFBibTeX XMLCite \textit{C.-S. Deng} and \textit{W. Liu}, BIT 60, No. 4, 1133--1151 (2020; Zbl 1469.65028) Full Text: DOI arXiv
Debrabant, Kristian; Samaey, Giovanni; Zieliński, Przemysław Study of micro-macro acceleration schemes for linear slow-fast stochastic differential equations with additive noise. (English) Zbl 1455.65015 BIT 60, No. 4, 959-998 (2020). MSC: 65C30 60H35 65L20 35R60 PDFBibTeX XMLCite \textit{K. Debrabant} et al., BIT 60, No. 4, 959--998 (2020; Zbl 1455.65015) Full Text: DOI arXiv
Chen, Chuchu; Hong, Jialin; Jin, Diancong Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations. (English) Zbl 1469.65027 BIT 60, No. 4, 917-957 (2020). MSC: 65C30 60H10 60H35 34F05 PDFBibTeX XMLCite \textit{C. Chen} et al., BIT 60, No. 4, 917--957 (2020; Zbl 1469.65027) Full Text: DOI arXiv
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. (English) Zbl 1446.65111 BIT 60, No. 3, 619-649 (2020). MSC: 65M60 65L06 65N30 65M70 65M50 65M15 35L65 35R60 62F15 PDFBibTeX XMLCite \textit{J. Giesselmann} et al., BIT 60, No. 3, 619--649 (2020; Zbl 1446.65111) Full Text: DOI arXiv
Gander, Martin J.; Wanner, Gerhard Exact BDF stability angles with Maple. (English) Zbl 1451.65093 BIT 60, No. 3, 615-617 (2020). MSC: 65L07 65L04 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{G. Wanner}, BIT 60, No. 3, 615--617 (2020; Zbl 1451.65093) Full Text: DOI
Ceruti, Gianluca; Lubich, Christian Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. (English) Zbl 1446.65037 BIT 60, No. 3, 591-614 (2020). MSC: 65L05 65L20 65L70 65F55 PDFBibTeX XMLCite \textit{G. Ceruti} and \textit{C. Lubich}, BIT 60, No. 3, 591--614 (2020; Zbl 1446.65037) Full Text: DOI arXiv
Tu, Xiongbiao; Murua, Ander; Tang, Yifa New high order symplectic integrators via generating functions with its application in many-body problem. (English) Zbl 1441.65123 BIT 60, No. 2, 509-535 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65P10 65L06 37M15 70F10 PDFBibTeX XMLCite \textit{X. Tu} et al., BIT 60, No. 2, 509--535 (2020; Zbl 1441.65123) Full Text: DOI
Gracia, José Luis; O’Riordan, Eugene; Stynes, Martin Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann-Liouville-Caputo fractional derivative. (English) Zbl 1442.65130 BIT 60, No. 2, 411-439 (2020). MSC: 65L10 34A08 26A33 PDFBibTeX XMLCite \textit{J. L. Gracia} et al., BIT 60, No. 2, 411--439 (2020; Zbl 1442.65130) Full Text: DOI
Sabermahani, Sedigheh; Ordokhani, Yadollah; Yousefi, Sohrab Ali Fractional-order general Lagrange scaling functions and their applications. (English) Zbl 1443.44003 BIT 60, No. 1, 101-128 (2020). MSC: 44A10 26A33 34A08 34K37 65L60 PDFBibTeX XMLCite \textit{S. Sabermahani} et al., BIT 60, No. 1, 101--128 (2020; Zbl 1443.44003) Full Text: DOI
Akrivis, Georgios; Katsoprinakis, Emmanouil Maximum angles of \(\mathrm{A}(\vartheta)\)-stability of backward difference formulae. (English) Zbl 1431.65104 BIT 60, No. 1, 93-99 (2020). MSC: 65L06 65L20 65L04 PDFBibTeX XMLCite \textit{G. Akrivis} and \textit{E. Katsoprinakis}, BIT 60, No. 1, 93--99 (2020; Zbl 1431.65104) Full Text: DOI
Chandhini, G.; Prashanthi, K. S.; Vijesh, V. Antony Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations. (English) Zbl 1431.65120 BIT 60, No. 1, 31-65 (2020). MSC: 65L20 65L05 65L10 PDFBibTeX XMLCite \textit{G. Chandhini} et al., BIT 60, No. 1, 31--65 (2020; Zbl 1431.65120) Full Text: DOI
Li, Libo; Taguchi, Dai On a positivity preserving numerical scheme for jump-extended CIR process: the alpha-stable case. (English) Zbl 1480.65017 BIT 59, No. 3, 747-774 (2019). MSC: 65C30 60H10 60H35 PDFBibTeX XMLCite \textit{L. Li} and \textit{D. Taguchi}, BIT 59, No. 3, 747--774 (2019; Zbl 1480.65017) Full Text: DOI arXiv
Ait-Haddou, Rachid New stability results for explicit Runge-Kutta methods. (English) Zbl 1420.65076 BIT 59, No. 3, 585-612 (2019). MSC: 65L06 65L07 65D17 PDFBibTeX XMLCite \textit{R. Ait-Haddou}, BIT 59, No. 3, 585--612 (2019; Zbl 1420.65076) Full Text: DOI arXiv
Montijano, J. I.; Podhaisky, H.; Rández, L.; Calvo, M. A family of \(L\)-stable singly implicit peer methods for solving stiff IVPs. (English) Zbl 07074123 BIT 59, No. 2, 483-502 (2019). MSC: 65L20 65L04 PDFBibTeX XMLCite \textit{J. I. Montijano} et al., BIT 59, No. 2, 483--502 (2019; Zbl 07074123) Full Text: DOI
Guo, Ping; Li, Chong-Jun Razumikhin-type technique on stability of exact and numerical solutions for the nonlinear stochastic pantograph differential equations. (English) Zbl 1418.60057 BIT 59, No. 1, 77-96 (2019). MSC: 60H10 65L20 65C30 PDFBibTeX XMLCite \textit{P. Guo} and \textit{C.-J. Li}, BIT 59, No. 1, 77--96 (2019; Zbl 1418.60057) Full Text: DOI
Söderlind, Gustaf; Fekete, Imre; Faragó, István On the zero-stability of multistep methods on smooth nonuniform grids. (English) Zbl 1406.65046 BIT 58, No. 4, 1125-1143 (2018). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{G. Söderlind} et al., BIT 58, No. 4, 1125--1143 (2018; Zbl 1406.65046) Full Text: DOI arXiv
Kunkel, Peter; Mehrmann, Volker Regular solutions of DAE hybrid systems and regularization techniques. (English) Zbl 1440.34013 BIT 58, No. 4, 1049-1077 (2018). MSC: 34A09 34A38 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, BIT 58, No. 4, 1049--1077 (2018; Zbl 1440.34013) Full Text: DOI Link
Hairer, Ernst; Lubich, Christian Energy behaviour of the Boris method for charged-particle dynamics. (English) Zbl 1404.65309 BIT 58, No. 4, 969-979 (2018). MSC: 65P10 65L06 78A35 78M25 65Z05 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{C. Lubich}, BIT 58, No. 4, 969--979 (2018; Zbl 1404.65309) Full Text: DOI
Zhu, Shuai; Weng, Shilie A parallel spectral deferred correction method for first-order evolution problems. (English) Zbl 1407.65076 BIT 58, No. 3, 807-834 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65L05 65L04 65Y05 PDFBibTeX XMLCite \textit{S. Zhu} and \textit{S. Weng}, BIT 58, No. 3, 807--834 (2018; Zbl 1407.65076) Full Text: DOI
Steyer, Andrew J.; Van Vleck, Erik S. A Lyapunov and Sacker-Sell spectral stability theory for one-step methods. (English) Zbl 1431.65092 BIT 58, No. 3, 749-781 (2018). Reviewer: Alois Steindl (Wien) MSC: 65L04 65L05 65P40 65L20 PDFBibTeX XMLCite \textit{A. J. Steyer} and \textit{E. S. Van Vleck}, BIT 58, No. 3, 749--781 (2018; Zbl 1431.65092) Full Text: DOI arXiv
Kopecz, Stefan; Meister, Andreas Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems. (English) Zbl 1397.65102 BIT 58, No. 3, 691-728 (2018). MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{S. Kopecz} and \textit{A. Meister}, BIT 58, No. 3, 691--728 (2018; Zbl 1397.65102) Full Text: DOI arXiv
Norton, Terence J. T. Composite symmetric general linear methods (COSY-GLMs) for the long-time integration of reversible Hamiltonian systems. (English) Zbl 1444.65070 BIT 58, No. 2, 397-421 (2018). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65P10 65L06 37M15 PDFBibTeX XMLCite \textit{T. J. T. Norton}, BIT 58, No. 2, 397--421 (2018; Zbl 1444.65070) Full Text: DOI
Klinge, Marcel; Weiner, Rüdiger; Podhaisky, Helmut Optimally zero stable explicit peer methods with variable nodes. (English) Zbl 1432.65089 BIT 58, No. 2, 331-345 (2018). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{M. Klinge} et al., BIT 58, No. 2, 331--345 (2018; Zbl 1432.65089) Full Text: DOI
Guzel, Ahmet; Layton, William Time filters increase accuracy of the fully implicit method. (English) Zbl 1444.65026 BIT 58, No. 2, 301-315 (2018). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L04 65L05 65L20 PDFBibTeX XMLCite \textit{A. Guzel} and \textit{W. Layton}, BIT 58, No. 2, 301--315 (2018; Zbl 1444.65026) Full Text: DOI
Okayama, Tomoaki Theoretical analysis of sinc-collocation methods and sinc-Nyström methods for systems of initial value problems. (English) Zbl 1444.65029 BIT 58, No. 1, 199-220 (2018). MSC: 65L05 65L60 65R20 65D30 PDFBibTeX XMLCite \textit{T. Okayama}, BIT 58, No. 1, 199--220 (2018; Zbl 1444.65029) Full Text: DOI arXiv
Niu, Xinyan; Cui, Jianbo; Hong, Jialin; Liu, Zhihui Explicit pseudo-symplectic methods for stochastic Hamiltonian systems. (English) Zbl 1390.60261 BIT 58, No. 1, 163-178 (2018). MSC: 60H35 37M15 60H10 PDFBibTeX XMLCite \textit{X. Niu} et al., BIT 58, No. 1, 163--178 (2018; Zbl 1390.60261) Full Text: DOI
Kumar, Rakesh Adaptive semi-discrete formulation of BSQI-WENO scheme for the modified Burgers’ equation. (English) Zbl 1448.65108 BIT 58, No. 1, 103-132 (2018). MSC: 65M06 65M22 65M15 65L06 65D07 35Q53 35Q31 PDFBibTeX XMLCite \textit{R. Kumar}, BIT 58, No. 1, 103--132 (2018; Zbl 1448.65108) Full Text: DOI
Burkotová, Jana; Rachunková, Irena; Weinmüller, Ewa B. On singular BVPs with nonsmooth data: convergence of the collocation schemes. (English) Zbl 1421.65021 BIT 57, No. 4, 1153-1184 (2017). Reviewer: Fernando Casas (Castellon) MSC: 65L60 65L20 65L05 65L10 PDFBibTeX XMLCite \textit{J. Burkotová} et al., BIT 57, No. 4, 1153--1184 (2017; Zbl 1421.65021) Full Text: DOI
Tan, Guangning; Nedialkov, Nedialko S.; Pryce, John D. Conversion methods for improving structural analysis of differential-algebraic equation systems. (English) Zbl 1485.34065 BIT 57, No. 3, 845-865 (2017). MSC: 34A09 65L80 68W30 PDFBibTeX XMLCite \textit{G. Tan} et al., BIT 57, No. 3, 845--865 (2017; Zbl 1485.34065) Full Text: DOI arXiv Link
Mehl, Christian; Mehrmann, Volker; Sharma, Punit Stability radii for real linear Hamiltonian systems with perturbed dissipation. (English) Zbl 1373.93274 BIT 57, No. 3, 811-843 (2017). MSC: 93D20 93D09 65F15 15A21 65L80 65L05 34A30 PDFBibTeX XMLCite \textit{C. Mehl} et al., BIT 57, No. 3, 811--843 (2017; Zbl 1373.93274) Full Text: DOI
Gauckler, Ludwig; Yserentant, Harry Structure-preserving discretization of the chemical master equation. (English) Zbl 1378.65032 BIT 57, No. 3, 753-770 (2017). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 65C30 65L05 65L70 80A30 60J27 60H10 60H35 34F05 PDFBibTeX XMLCite \textit{L. Gauckler} and \textit{H. Yserentant}, BIT 57, No. 3, 753--770 (2017; Zbl 1378.65032) Full Text: DOI
Hu, Guang-Da; Mitsui, Taketomo Delay-dependent stability of numerical methods for delay differential systems of neutral type. (English) Zbl 1422.65097 BIT 57, No. 3, 731-752 (2017). Reviewer: Neville Ford (Chester) MSC: 65L03 65L20 65L06 65L07 34K40 PDFBibTeX XMLCite \textit{G.-D. Hu} and \textit{T. Mitsui}, BIT 57, No. 3, 731--752 (2017; Zbl 1422.65097) Full Text: DOI
Zhao, Xiaofei Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data. (English) Zbl 1377.65087 BIT 57, No. 3, 649-683 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L05 65L20 65L70 34C10 34A25 PDFBibTeX XMLCite \textit{X. Zhao}, BIT 57, No. 3, 649--683 (2017; Zbl 1377.65087) Full Text: DOI
Yang, Chaoxia Linearly implicit BDF methods for nonlinear parabolic interface problems. (English) Zbl 1365.65213 BIT 57, No. 2, 587-606 (2017). Reviewer: Marius Ghergu (Dublin) MSC: 65M20 35K55 65L06 65M12 PDFBibTeX XMLCite \textit{C. Yang}, BIT 57, No. 2, 587--606 (2017; Zbl 1365.65213) Full Text: DOI
Nipp, Kaspar; Stoffer, Daniel Invariant curves for the discretised van der Pol equation. (English) Zbl 1377.37043 BIT 57, No. 2, 463-497 (2017). Reviewer: Eszter Gselmann (Debrecen) MSC: 37D10 39A30 65L05 34E15 PDFBibTeX XMLCite \textit{K. Nipp} and \textit{D. Stoffer}, BIT 57, No. 2, 463--497 (2017; Zbl 1377.37043) Full Text: DOI
McKenzie, Ross; Pryce, John Structural analysis based dummy derivative selection for differential algebraic equations. (English) Zbl 1371.65074 BIT 57, No. 2, 433-462 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L80 34A09 PDFBibTeX XMLCite \textit{R. McKenzie} and \textit{J. Pryce}, BIT 57, No. 2, 433--462 (2017; Zbl 1371.65074) Full Text: DOI
Butcher, John C.; Imran, Gulshad; Podhaisky, Helmut A G-symplectic method with order 6. (English) Zbl 1367.65190 BIT 57, No. 2, 313-328 (2017). MSC: 65P10 37M15 65L06 PDFBibTeX XMLCite \textit{J. C. Butcher} et al., BIT 57, No. 2, 313--328 (2017; Zbl 1367.65190) Full Text: DOI
Tang, Xiao; Xiao, Aiguo Efficient weak second-order stochastic Runge-Kutta methods for Itô stochastic differential equations. (English) Zbl 1359.60086 BIT 57, No. 1, 241-260 (2017). MSC: 60H35 60H10 65C30 60F05 65L06 65L20 PDFBibTeX XMLCite \textit{X. Tang} and \textit{A. Xiao}, BIT 57, No. 1, 241--260 (2017; Zbl 1359.60086) Full Text: DOI
Quinn, Jason Parameter-uniform numerical methods for general nonlinear singularly perturbed reaction diffusion problems having a stable reduced solution. (English) Zbl 1366.65075 BIT 57, No. 1, 207-240 (2017). Reviewer: Srinivasan Natesan (Assam) MSC: 65L11 65L10 65L12 34B15 34E15 65L20 65L70 PDFBibTeX XMLCite \textit{J. Quinn}, BIT 57, No. 1, 207--240 (2017; Zbl 1366.65075) Full Text: DOI
Debrabant, Kristian; Kværnø, Anne Cheap arbitrary high order methods for single integrand SDEs. (English) Zbl 1364.65012 BIT 57, No. 1, 153-168 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H35 60H10 65C20 65L06 PDFBibTeX XMLCite \textit{K. Debrabant} and \textit{A. Kværnø}, BIT 57, No. 1, 153--168 (2017; Zbl 1364.65012) Full Text: DOI arXiv
de la Cruz, H.; Jimenez, J. C.; Zubelli, J. P. Locally linearized methods for the simulation of stochastic oscillators driven by random forces. (English) Zbl 1364.65021 BIT 57, No. 1, 123-151 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 34F05 60H35 PDFBibTeX XMLCite \textit{H. de la Cruz} et al., BIT 57, No. 1, 123--151 (2017; Zbl 1364.65021) Full Text: DOI
Andersson, Adam; Kruse, Raphael Mean-square convergence of the BDF2-Maruyama and backward Euler schemes for SDE satisfying a global monotonicity condition. (English) Zbl 1365.65010 BIT 57, No. 1, 21-53 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 65L06 65L20 60H10 60H35 34F05 65L12 65L04 PDFBibTeX XMLCite \textit{A. Andersson} and \textit{R. Kruse}, BIT 57, No. 1, 21--53 (2017; Zbl 1365.65010) Full Text: DOI arXiv