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
Malyshev, Alexander; Sadkane, Miloud On the stability radius for linear time-delay systems. (English) Zbl 07807775 BIT 64, No. 1, Paper No. 5, 24 p. (2024). MSC: 34K06 34K20 41A21 65F15 65G50 PDFBibTeX XMLCite \textit{A. Malyshev} and \textit{M. Sadkane}, BIT 64, No. 1, Paper No. 5, 24 p. (2024; Zbl 07807775) 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
Han, Jiayu; Zhang, Zhimin An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem. (English) Zbl 07782832 BIT 63, No. 4, Paper No. 56, 29 p. (2023). MSC: 65N25 65N30 65N12 65N15 65N50 35B45 35Q60 PDFBibTeX XMLCite \textit{J. Han} and \textit{Z. Zhang}, BIT 63, No. 4, Paper No. 56, 29 p. (2023; Zbl 07782832) Full Text: DOI arXiv
Zhang, Xiaodi; Dong, Shitian New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation. (English) Zbl 1528.65119 BIT 63, No. 4, Paper No. 55, 34 p. (2023). MSC: 65N30 65N12 65N15 76M10 76W05 58A12 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{S. Dong}, BIT 63, No. 4, Paper No. 55, 34 p. (2023; Zbl 1528.65119) 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
Du, Zhijie; Duan, Huoyuan A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations. (English) Zbl 1526.65054 BIT 63, No. 4, Paper No. 47, 32 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{Z. Du} and \textit{H. Duan}, BIT 63, No. 4, Paper No. 47, 32 p. (2023; Zbl 1526.65054) Full Text: DOI
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
Lee, Jeonghun J. Analysis and preconditioning of parameter-robust finite element methods for Biot’s consolidation model. (English) Zbl 07726916 BIT 63, No. 3, Paper No. 42, 23 p. (2023). MSC: 65M60 65M06 65N30 65N15 65N12 76S05 76D07 74F10 74L10 35B45 35B35 35A01 35A02 74S05 76M10 74S20 76M20 PDFBibTeX XMLCite \textit{J. J. Lee}, BIT 63, No. 3, Paper No. 42, 23 p. (2023; Zbl 07726916) Full Text: DOI arXiv
Liao, Hong-lin; Tang, Tao; Zhou, Tao Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations. (English) Zbl 1522.65146 BIT 63, No. 3, Paper No. 39, 27 p. (2023). MSC: 65M06 65N35 65M12 65M15 35K05 35Q79 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., BIT 63, No. 3, Paper No. 39, 27 p. (2023; Zbl 1522.65146) Full Text: DOI
Eckhardt, Daniel; Verfürth, Barbara Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales. (English) Zbl 1516.65085 BIT 63, No. 2, Paper No. 35, 26 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K15 35B27 PDFBibTeX XMLCite \textit{D. Eckhardt} and \textit{B. Verfürth}, BIT 63, No. 2, Paper No. 35, 26 p. (2023; Zbl 1516.65085) Full Text: DOI arXiv
Jahnke, Tobias; Kirn, Michael On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation. (English) Zbl 1512.35502 BIT 63, No. 2, Paper No. 26, 28 p. (2023). MSC: 35Q41 81Q05 65M12 65M15 65M70 65D32 PDFBibTeX XMLCite \textit{T. Jahnke} and \textit{M. Kirn}, BIT 63, No. 2, Paper No. 26, 28 p. (2023; Zbl 1512.35502) Full Text: DOI
Ye, Changqing; Chung, Eric T. Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics. (English) Zbl 1510.74129 BIT 63, No. 1, Paper No. 11, 26 p. (2023). MSC: 74S20 74S25 74S05 74Q15 74M25 65N12 PDFBibTeX XMLCite \textit{C. Ye} and \textit{E. T. Chung}, BIT 63, No. 1, Paper No. 11, 26 p. (2023; Zbl 1510.74129) Full Text: DOI
Doan, Cao-Kha; Hoang, Thi-Thao-Phuong; Ju, Lili; Schratz, Katharina Low regularity integrators for semilinear parabolic equations with maximum bound principles. (English) Zbl 1509.65108 BIT 63, No. 1, Paper No. 2, 32 p. (2023). MSC: 65N06 65R20 65M12 65M15 35K58 PDFBibTeX XMLCite \textit{C.-K. Doan} et al., BIT 63, No. 1, Paper No. 2, 32 p. (2023; Zbl 1509.65108) Full Text: DOI arXiv
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
Glaubitz, Jan; Reeger, Jonah A. Towards stability results for global radial basis function based quadrature formulas. (English) Zbl 1508.65015 BIT 63, No. 1, Paper No. 6, 34 p. (2023). MSC: 65D30 65D12 65D32 PDFBibTeX XMLCite \textit{J. Glaubitz} and \textit{J. A. Reeger}, BIT 63, No. 1, Paper No. 6, 34 p. (2023; Zbl 1508.65015) Full Text: DOI arXiv
Appelö, Daniel; Zhang, Lu; Hagstrom, Thomas; Li, Fengyan An energy-based discontinuous Galerkin method with tame CFL numbers for the wave equation. (English) Zbl 1508.65123 BIT 63, No. 1, Paper No. 5, 26 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 65M15 65N50 PDFBibTeX XMLCite \textit{D. Appelö} et al., BIT 63, No. 1, Paper No. 5, 26 p. (2023; Zbl 1508.65123) Full Text: DOI arXiv
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
Xu, Fei; Huang, Qiumei; Xie, Manting An efficient adaptive multigrid method for the elasticity eigenvalue problem. (English) Zbl 1502.65259 BIT 62, No. 4, 2005-2033 (2022). MSC: 65N55 65N50 65N25 65N30 65N12 65N15 65J15 74B99 74S05 PDFBibTeX XMLCite \textit{F. Xu} et al., BIT 62, No. 4, 2005--2033 (2022; Zbl 1502.65259) Full Text: DOI
Al Zohbi, Marya; El Hajj, Ahmad; Jazar, Mustapha Convergent semi-explicit scheme to a non-linear eikonal system. (English) Zbl 1502.65053 BIT 62, No. 4, 1841-1872 (2022). MSC: 65M06 65N06 65D05 65M12 35F21 35F50 35D40 35A23 PDFBibTeX XMLCite \textit{M. Al Zohbi} et al., BIT 62, No. 4, 1841--1872 (2022; Zbl 1502.65053) Full Text: DOI
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
Klein, Simon-Christian Using the Dafermos entropy rate criterion in numerical schemes. (English) Zbl 1503.65202 BIT 62, No. 4, 1673-1701 (2022). Reviewer: Petr Sváček (Praha) MSC: 65M08 35L03 35L45 35L65 35L67 65M12 65M20 76L05 PDFBibTeX XMLCite \textit{S.-C. Klein}, BIT 62, No. 4, 1673--1701 (2022; Zbl 1503.65202) Full Text: DOI arXiv
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
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
Boehm, Udo; Cox, Sonja; Gantner, Gregor; Stevenson, Rob Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. (English) Zbl 1507.65137 BIT 62, No. 4, 1355-1382 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65K10 65M12 35A15 35B65 35K08 60H30 65D05 92C20 92D25 35Q84 PDFBibTeX XMLCite \textit{U. Boehm} et al., BIT 62, No. 4, 1355--1382 (2022; Zbl 1507.65137) 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
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
Lu, Peipei; Rupp, Andreas; Kanschat, Guido Homogeneous multigrid for embedded discontinuous Galerkin methods. (English) Zbl 1502.65249 BIT 62, No. 3, 1029-1048 (2022). MSC: 65N55 65N30 65N50 65F10 65N12 35J05 35B65 PDFBibTeX XMLCite \textit{P. Lu} et al., BIT 62, No. 3, 1029--1048 (2022; Zbl 1502.65249) 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
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
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
Brandén, Henrik Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation. (English) Zbl 1493.65183 BIT 62, No. 2, 409-429 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65F08 65F10 65N50 65N12 65N38 35J05 15B05 PDFBibTeX XMLCite \textit{H. Brandén}, BIT 62, No. 2, 409--429 (2022; Zbl 1493.65183) Full Text: DOI
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
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
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
Zheng, Xiangcheng; Wang, Hong A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. (English) Zbl 07430401 BIT 61, No. 4, 1453-1481 (2021). MSC: 65-XX 35S10 35K20 65M12 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, BIT 61, No. 4, 1453--1481 (2021; Zbl 07430401) Full Text: DOI
Sun, Jing; Nie, Daxin; Deng, Weihua Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. (English) Zbl 07430400 BIT 61, No. 4, 1421-1452 (2021). MSC: 65N06 65N12 65N15 65D05 60G51 26A33 35R11 PDFBibTeX XMLCite \textit{J. Sun} et al., BIT 61, No. 4, 1421--1452 (2021; Zbl 07430400) 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
Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. (English) Zbl 1481.65168 BIT 61, No. 3, 1061-1092 (2021). MSC: 65M06 65M12 65N06 65F08 65F10 65H10 15B05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., BIT 61, No. 3, 1061--1092 (2021; Zbl 1481.65168) Full Text: DOI arXiv
Wang, Yuan-Ming A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction-subdiffusion problems with a weak initial singularity. (English) Zbl 1481.65162 BIT 61, No. 3, 1023-1059 (2021). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Y.-M. Wang}, BIT 61, No. 3, 1023--1059 (2021; Zbl 1481.65162) Full Text: DOI
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B. Accurate discretization of poroelasticity without Darcy stability. (English) Zbl 1470.65169 BIT 61, No. 3, 941-976 (2021). MSC: 65M60 65M06 65N30 74S05 74F10 74B10 76S05 35Q74 35Q35 PDFBibTeX XMLCite \textit{K.-A. Mardal} et al., BIT 61, No. 3, 941--976 (2021; Zbl 1470.65169) Full Text: DOI arXiv
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D. Power boundedness in the maximum norm of stability matrices for ADI methods. (English) Zbl 1495.65133 BIT 61, No. 3, 805-827 (2021). MSC: 65M06 65N06 65M20 65M12 65M15 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., BIT 61, No. 3, 805--827 (2021; Zbl 1495.65133) Full Text: DOI
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
Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo Optimal quadratic element on rectangular grids for \(H^1\) problems. (English) Zbl 1472.65150 BIT 61, No. 2, 665-689 (2021). MSC: 65N30 65N25 65N12 65N15 65N22 35P15 PDFBibTeX XMLCite \textit{H. Zeng} et al., BIT 61, No. 2, 665--689 (2021; Zbl 1472.65150) Full Text: DOI arXiv
Grunert, Katrin; Nordli, Anders; Solem, Susanne Numerical conservative solutions of the Hunter-Saxton equation. (English) Zbl 1465.35351 BIT 61, No. 2, 441-471 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 65M25 65N06 65M12 37K10 PDFBibTeX XMLCite \textit{K. Grunert} et al., BIT 61, No. 2, 441--471 (2021; Zbl 1465.35351) 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
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
Baumstark, Simon; Schratz, Katharina Asymptotic preserving trigonometric integrators for the quantum Zakharov system. (English) Zbl 1466.65162 BIT 61, No. 1, 61-81 (2021). MSC: 65M99 65N35 65M15 65M12 81Q80 35Q40 PDFBibTeX XMLCite \textit{S. Baumstark} and \textit{K. Schratz}, BIT 61, No. 1, 61--81 (2021; Zbl 1466.65162) Full Text: DOI Link
Henning, Patrick; Wärnegård, Johan A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. (English) Zbl 1460.35326 BIT 61, No. 1, 37-59 (2021). MSC: 35Q55 65M60 65M06 65M15 65M12 65N30 65H10 35B45 81Q05 PDFBibTeX XMLCite \textit{P. Henning} and \textit{J. Wärnegård}, BIT 61, No. 1, 37--59 (2021; Zbl 1460.35326) Full Text: DOI arXiv
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. (English) Zbl 1460.65115 BIT 61, No. 1, 1-36 (2021). MSC: 65M55 65M12 65R20 65M06 35K58 65Y05 65M15 PDFBibTeX XMLCite \textit{X. Li} et al., BIT 61, No. 1, 1--36 (2021; Zbl 1460.65115) Full Text: DOI
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
Jesus, Carla; Sousa, Ercília Numerical method with fractional splines for a subdiffusion problem. (English) Zbl 1454.65059 BIT 60, No. 4, 1075-1111 (2020). MSC: 65M06 65M12 65M15 65D07 35R11 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, BIT 60, No. 4, 1075--1111 (2020; Zbl 1454.65059) Full Text: DOI
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
Winters, Andrew R.; Czernik, Christof; Schily, Moritz B.; Gassner, Gregor J. Entropy stable numerical approximations for the isothermal and polytropic Euler equations. (English) Zbl 1446.65134 BIT 60, No. 3, 791-824 (2020). MSC: 65M70 65M12 35L35 35L60 35Q31 PDFBibTeX XMLCite \textit{A. R. Winters} et al., BIT 60, No. 3, 791--824 (2020; Zbl 1446.65134) Full Text: DOI arXiv
Padgett, Joshua L. Analysis of an approximation to a fractional extension problem. (English) Zbl 1470.65108 BIT 60, No. 3, 715-739 (2020). MSC: 65J10 65M12 65R20 65M99 PDFBibTeX XMLCite \textit{J. L. Padgett}, BIT 60, No. 3, 715--739 (2020; Zbl 1470.65108) Full Text: DOI arXiv
Kahl, Karsten; Kintscher, Nils Automated local Fourier analysis (aLFA). (English) Zbl 1446.65194 BIT 60, No. 3, 651-686 (2020). MSC: 65N55 65F10 65N12 65N22 42A38 PDFBibTeX XMLCite \textit{K. Kahl} and \textit{N. Kintscher}, BIT 60, No. 3, 651--686 (2020; Zbl 1446.65194) 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
Srivastava, Shweta; Ganesan, Sashikumaar Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains. (English) Zbl 1447.65091 BIT 60, No. 2, 481-507 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 35Q35 PDFBibTeX XMLCite \textit{S. Srivastava} and \textit{S. Ganesan}, BIT 60, No. 2, 481--507 (2020; Zbl 1447.65091) Full Text: DOI
Porcù, Roberto; Chiaramonte, Maurizio M. Orthogonality constrained gradient reconstruction for superconvergent linear functionals. (English) Zbl 1447.65159 BIT 60, No. 2, 465-479 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65N50 35J15 PDFBibTeX XMLCite \textit{R. Porcù} and \textit{M. M. Chiaramonte}, BIT 60, No. 2, 465--479 (2020; Zbl 1447.65159) Full Text: DOI Link
Burman, Erik; Hansbo, Peter; Larson, Mats G. Dirichlet boundary value correction using Lagrange multipliers. (English) Zbl 1431.65213 BIT 60, No. 1, 235-260 (2020). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{E. Burman} et al., BIT 60, No. 1, 235--260 (2020; Zbl 1431.65213) Full Text: DOI arXiv
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
Reisinger, Christoph; Wang, Zhenru Stability and error analysis of an implicit Milstein finite difference scheme for a two-dimensional Zakai SPDE. (English) Zbl 1437.65006 BIT 59, No. 4, 987-1029 (2019). MSC: 65C30 60H15 65M06 65T50 65M12 PDFBibTeX XMLCite \textit{C. Reisinger} and \textit{Z. Wang}, BIT 59, No. 4, 987--1029 (2019; Zbl 1437.65006) Full Text: DOI arXiv
Du, Jie; Yang, Yang; Chung, Eric Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes. (English) Zbl 1427.65242 BIT 59, No. 4, 853-876 (2019). MSC: 65M60 65M12 65M20 65M15 PDFBibTeX XMLCite \textit{J. Du} et al., BIT 59, No. 4, 853--876 (2019; Zbl 1427.65242) Full Text: DOI
Ridder, J.; Ruf, A. M. A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions. (English) Zbl 1433.65165 BIT 59, No. 3, 775-796 (2019). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 35M33 35L35 35Q35 65M12 76U60 86A05 PDFBibTeX XMLCite \textit{J. Ridder} and \textit{A. M. Ruf}, BIT 59, No. 3, 775--796 (2019; Zbl 1433.65165) 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
Ranocha, Hendrik Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives. (English) Zbl 1482.65151 BIT 59, No. 2, 547-563 (2019). Reviewer: Anouar Ben Mabrouk (Sousse) MSC: 65M06 65M70 65N06 65N35 35L65 PDFBibTeX XMLCite \textit{H. Ranocha}, BIT 59, No. 2, 547--563 (2019; Zbl 1482.65151) 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
Maier, Roland; Peterseim, Daniel Explicit computational wave propagation in micro-heterogeneous media. (English) Zbl 1419.65041 BIT 59, No. 2, 443-462 (2019). MSC: 65M12 65M60 35L05 PDFBibTeX XMLCite \textit{R. Maier} and \textit{D. Peterseim}, BIT 59, No. 2, 443--462 (2019; Zbl 1419.65041) Full Text: DOI arXiv
Sato, Shun Stability and convergence of a conservative finite difference scheme for the modified Hunter-Saxton equation. (English) Zbl 1416.65282 BIT 59, No. 1, 213-241 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 35Q35 76B15 76B45 PDFBibTeX XMLCite \textit{S. Sato}, BIT 59, No. 1, 213--241 (2019; Zbl 1416.65282) Full Text: DOI arXiv
Qasemi, Samaneh; Rostamy, Davood; Abdollahi, Nazdar The time-fractional diffusion inverse problem subject to an extra measurement by a local discontinuous Galerkin method. (English) Zbl 1420.65097 BIT 59, No. 1, 183-212 (2019). Reviewer: Dana Černá (Liberec) MSC: 65M32 65M12 65M15 65N30 35R11 65D32 PDFBibTeX XMLCite \textit{S. Qasemi} et al., BIT 59, No. 1, 183--212 (2019; Zbl 1420.65097) 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
Bolin, David; Kirchner, Kristin; Kovács, Mihály Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise. (English) Zbl 1405.65147 BIT 58, No. 4, 881-906 (2018). MSC: 65N30 60H15 65C30 65C60 65N12 35R60 35R11 PDFBibTeX XMLCite \textit{D. Bolin} et al., BIT 58, No. 4, 881--906 (2018; Zbl 1405.65147) Full Text: DOI arXiv
Wang, Pengde; Huang, Chengming An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. (English) Zbl 1412.65095 BIT 58, No. 3, 783-805 (2018). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 65M12 65M15 35Q56 35R11 PDFBibTeX XMLCite \textit{P. Wang} and \textit{C. Huang}, BIT 58, No. 3, 783--805 (2018; Zbl 1412.65095) 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
Huang, Chaobao; Stynes, Martin; An, Na Optimal \(L^\infty (L^2)\) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem. (English) Zbl 1433.65212 BIT 58, No. 3, 661-690 (2018). Reviewer: Andreas Mang (Houston) MSC: 65M60 65M12 35R11 65M15 65M06 65N30 PDFBibTeX XMLCite \textit{C. Huang} et al., BIT 58, No. 3, 661--690 (2018; Zbl 1433.65212) Full Text: DOI
Ahmadinia, M.; Safari, Z.; Fouladi, S. Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations. (English) Zbl 1398.65243 BIT 58, No. 3, 533-554 (2018). MSC: 65M60 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{M. Ahmadinia} et al., BIT 58, No. 3, 533--554 (2018; Zbl 1398.65243) Full Text: DOI
Lee, Jeonghun J. Robust three-field finite element methods for Biot’s consolidation model in poroelasticity. (English) Zbl 1428.65044 BIT 58, No. 2, 347-372 (2018). Reviewer: Aziz Takhirov (Edmonton) MSC: 65M60 65M12 65M22 65N30 65M06 76S05 74B10 65M15 65N15 PDFBibTeX XMLCite \textit{J. J. Lee}, BIT 58, No. 2, 347--372 (2018; Zbl 1428.65044) 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
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska Correction to: “Multilevel Monte Carlo front-tracking for random scalar conservation laws”. (English) Zbl 1430.65004 BIT 58, No. 1, 247-255 (2018). MSC: 65C30 35L65 65C05 65M06 65M12 60H15 60H35 35R60 65Y20 65M75 PDFBibTeX XMLCite \textit{N. H. Risebro} et al., BIT 58, No. 1, 247--255 (2018; Zbl 1430.65004) Full Text: DOI
Zhang, Jin; Liu, Xiaowei Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers. (English) Zbl 1448.65251 BIT 58, No. 1, 221-246 (2018). MSC: 65N30 65N12 65N50 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Liu}, BIT 58, No. 1, 221--246 (2018; Zbl 1448.65251) Full Text: DOI
Ignat, Liviu I.; Pozo, Alejandro A splitting method for the augmented Burgers equation. (English) Zbl 1448.65106 BIT 58, No. 1, 73-102 (2018). MSC: 65M06 65M20 65M12 65R20 45G10 35B40 35C20 35Q53 PDFBibTeX XMLCite \textit{L. I. Ignat} and \textit{A. Pozo}, BIT 58, No. 1, 73--102 (2018; Zbl 1448.65106) Full Text: DOI arXiv Link
Asadzadeh, Mohammad; Standar, Christoffer A posteriori error estimates for the one and one-half dimensional relativistic Vlasov-Maxwell system. (English) Zbl 1448.65149 BIT 58, No. 1, 5-26 (2018). MSC: 65M60 65M15 65M12 35Q83 35Q60 82D10 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{C. Standar}, BIT 58, No. 1, 5--26 (2018; Zbl 1448.65149) Full Text: DOI arXiv
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
Lang, Annika; Petersson, Andreas; Thalhammer, Andreas Mean-square stability analysis of approximations of stochastic differential equations in infinite dimensions. (English) Zbl 1418.65005 BIT 57, No. 4, 963-990 (2017). MSC: 65C30 60H15 65M75 60H35 PDFBibTeX XMLCite \textit{A. Lang} et al., BIT 57, No. 4, 963--990 (2017; Zbl 1418.65005) Full Text: DOI arXiv
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
Målqvist, Axel; Stillfjord, Tony Finite element convergence analysis for the thermoviscoelastic Joule heating problem. (English) Zbl 1457.65125 BIT 57, No. 3, 787-810 (2017). MSC: 65M60 65M06 65N30 65M12 74F05 74D05 74H15 78A55 35Q74 PDFBibTeX XMLCite \textit{A. Målqvist} and \textit{T. Stillfjord}, BIT 57, No. 3, 787--810 (2017; Zbl 1457.65125) Full Text: DOI arXiv
Franz, Sebastian Convergence of local projection stabilisation finite element methods for convection-diffusion problems on layer-adapted meshes. (English) Zbl 1378.65172 BIT 57, No. 3, 771-786 (2017). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N12 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{S. Franz}, BIT 57, No. 3, 771--786 (2017; Zbl 1378.65172) 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
Yeganeh, S.; Mokhtari, R.; Hesthaven, J. S. Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. (English) Zbl 1377.65124 BIT 57, No. 3, 685-707 (2017). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65M32 65M60 35R11 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{S. Yeganeh} et al., BIT 57, No. 3, 685--707 (2017; Zbl 1377.65124) Full Text: DOI Link