Ge, Ang; Shen, Jinye; Vong, Seakweng Space-time methods based on isogeometric analysis for time-fractional Schrödinger equation. (English) Zbl 07784033 J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023). MSC: 65M60 65D07 65M12 65M22 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{A. Ge} et al., J. Sci. Comput. 97, No. 3, Paper No. 76, 33 p. (2023; Zbl 07784033) Full Text: DOI
van der Sande, Kiera; Flyer, Natasha; Fornberg, Bengt Accelerating explicit time-stepping with spatially variable time steps through machine learning. (English) Zbl 07708332 J. Sci. Comput. 96, No. 1, Paper No. 31, 18 p. (2023). MSC: 65M50 65M70 65M06 65M20 PDFBibTeX XMLCite \textit{K. van der Sande} et al., J. Sci. Comput. 96, No. 1, Paper No. 31, 18 p. (2023; Zbl 07708332) Full Text: DOI
Dolejší, Vít; May, Georg An anisotropic hp-mesh adaptation method for time-dependent problems based on interpolation error control. (English) Zbl 1522.65238 J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023). MSC: 65N50 65M60 65N15 65D05 76B47 76N10 35A01 35A02 35Q35 PDFBibTeX XMLCite \textit{V. Dolejší} and \textit{G. May}, J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023; Zbl 1522.65238) Full Text: DOI
Bruchhäuser, Marius Paul; Köcher, Uwe; Bause, Markus On the implementation of an adaptive multirate framework for coupled transport and flow. (English) Zbl 1503.65222 J. Sci. Comput. 93, No. 3, Paper No. 59, 29 p. (2022). MSC: 65M60 65N30 76M10 76D07 76R50 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{M. P. Bruchhäuser} et al., J. Sci. Comput. 93, No. 3, Paper No. 59, 29 p. (2022; Zbl 1503.65222) Full Text: DOI arXiv
Hoang, Thi-Thao-Phuong; Lee, Hyesuk A global-in-time domain decomposition method for the coupled nonlinear Stokes and Darcy flows. (English) Zbl 1466.65112 J. Sci. Comput. 87, No. 1, Paper No. 22, 22 p. (2021). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 76A05 76D07 76S05 PDFBibTeX XMLCite \textit{T.-T.-P. Hoang} and \textit{H. Lee}, J. Sci. Comput. 87, No. 1, Paper No. 22, 22 p. (2021; Zbl 1466.65112) Full Text: DOI arXiv
Han Veiga, Maria; Öffner, Philipp; Torlo, Davide DeC and ADER: similarities, differences and a unified framework. (English) Zbl 1459.76086 J. Sci. Comput. 87, No. 1, Paper No. 2, 35 p. (2021). MSC: 76M12 76M20 65M12 PDFBibTeX XMLCite \textit{M. Han Veiga} et al., J. Sci. Comput. 87, No. 1, Paper No. 2, 35 p. (2021; Zbl 1459.76086) Full Text: DOI arXiv
Sosa Jones, Giselle; Lee, Jeonghun J.; Rhebergen, Sander A space-time hybridizable discontinuous Galerkin method for linear free-surface waves. (English) Zbl 1456.65123 J. Sci. Comput. 85, No. 3, Paper No. 61, 38 p. (2020). MSC: 65M60 65M15 35R35 PDFBibTeX XMLCite \textit{G. Sosa Jones} et al., J. Sci. Comput. 85, No. 3, Paper No. 61, 38 p. (2020; Zbl 1456.65123) Full Text: DOI arXiv
Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Mohammad A posteriori error analysis for implicit-explicit hp-discontinuous Galerkin timestepping methods for semilinear parabolic problems. (English) Zbl 1473.65184 J. Sci. Comput. 82, No. 2, Paper No. 26, 24 p. (2020). Reviewer: Konstantinos Chrysafinos (Athens) MSC: 65M60 65M06 65M15 65N30 35K58 PDFBibTeX XMLCite \textit{A. Cangiani} et al., J. Sci. Comput. 82, No. 2, Paper No. 26, 24 p. (2020; Zbl 1473.65184) Full Text: DOI
Abrahamsen, Dylan; Fornberg, Bengt Explicit time stepping of PDEs with local refinement in space-time. (English) Zbl 1434.65169 J. Sci. Comput. 81, No. 3, 1945-1962 (2019). MSC: 65M50 65M70 65M06 65M20 PDFBibTeX XMLCite \textit{D. Abrahamsen} and \textit{B. Fornberg}, J. Sci. Comput. 81, No. 3, 1945--1962 (2019; Zbl 1434.65169) Full Text: DOI Link
Pei, Chaoxu; Vahab, Mehdi; Sussman, Mark; Hussaini, M. Yousuff A hierarchical space-time spectral element and moment-of-fluid method for improved capturing of vortical structures in incompressible multi-phase/multi-material flows. (English) Zbl 1440.65151 J. Sci. Comput. 81, No. 3, 1527-1566 (2019). MSC: 65M70 65M06 65M50 65F10 65B05 76D05 76T30 35Q35 76D25 PDFBibTeX XMLCite \textit{C. Pei} et al., J. Sci. Comput. 81, No. 3, 1527--1566 (2019; Zbl 1440.65151) Full Text: DOI
Prohl, Andreas; Schellnegger, Christian Adaptive concepts for stochastic partial differential equations. (English) Zbl 1418.60084 J. Sci. Comput. 80, No. 1, 444-474 (2019). MSC: 60H15 65C05 62G07 62G09 PDFBibTeX XMLCite \textit{A. Prohl} and \textit{C. Schellnegger}, J. Sci. Comput. 80, No. 1, 444--474 (2019; Zbl 1418.60084) Full Text: DOI
Friedrich, Lucas; Schnücke, Gero; Winters, Andrew R.; Fernández, David C. Del Rey; Gassner, Gregor J.; Carpenter, Mark H. Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws. (English) Zbl 1421.35262 J. Sci. Comput. 80, No. 1, 175-222 (2019). MSC: 35Q31 76B15 76N10 65M60 65M70 PDFBibTeX XMLCite \textit{L. Friedrich} et al., J. Sci. Comput. 80, No. 1, 175--222 (2019; Zbl 1421.35262) Full Text: DOI arXiv
Oltean, Marius; Sopuerta, Carlos F.; Spallicci, Alessandro D. A. M. Particle-without-particle: a practical pseudospectral collocation method for linear partial differential equations with distributional sources. (English) Zbl 1423.83012 J. Sci. Comput. 79, No. 2, 827-866 (2019). MSC: 83C10 65N35 83C75 46F30 35G05 PDFBibTeX XMLCite \textit{M. Oltean} et al., J. Sci. Comput. 79, No. 2, 827--866 (2019; Zbl 1423.83012) Full Text: DOI arXiv
Fu, Hongfei; Wang, Hong A preconditioned fast parareal finite difference method for space-time fractional partial differential equation. (English) Zbl 1415.65190 J. Sci. Comput. 78, No. 3, 1724-1743 (2019). MSC: 65M06 35R11 65F08 65F10 65M12 65T50 65Y05 PDFBibTeX XMLCite \textit{H. Fu} and \textit{H. Wang}, J. Sci. Comput. 78, No. 3, 1724--1743 (2019; Zbl 1415.65190) Full Text: DOI
Pei, Chaoxu; Sussman, Mark; Hussaini, M. Yousuff New multi-implicit space-time spectral element methods for advection-diffusion-reaction problems. (English) Zbl 1483.65166 J. Sci. Comput. 78, No. 2, 653-686 (2019). MSC: 65M70 PDFBibTeX XMLCite \textit{C. Pei} et al., J. Sci. Comput. 78, No. 2, 653--686 (2019; Zbl 1483.65166) Full Text: DOI
Kim, Dongho; Park, Eun-Jae; Seo, Boyoon Space-time adaptive methods for the mixed formulation of a linear parabolic problem. (English) Zbl 1398.65140 J. Sci. Comput. 74, No. 3, 1725-1756 (2018). MSC: 65K10 65M12 65M60 PDFBibTeX XMLCite \textit{D. Kim} et al., J. Sci. Comput. 74, No. 3, 1725--1756 (2018; Zbl 1398.65140) Full Text: DOI
Zhang, Chao; Gu, Dong-qin; Wang, Zhong-qing; Li, Hui-yuan Efficient space-time spectral methods for second-order problems on unbounded domains. (English) Zbl 1377.65139 J. Sci. Comput. 72, No. 2, 679-699 (2017). MSC: 65M70 35K20 65M60 65M12 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Sci. Comput. 72, No. 2, 679--699 (2017; Zbl 1377.65139) Full Text: DOI
Yang, Haijian; Cai, Xiao-Chuan Two-level space-time domain decomposition methods for flow control problems. (English) Zbl 1404.65157 J. Sci. Comput. 70, No. 2, 717-743 (2017). MSC: 65M55 65Y05 76D05 65M06 35Q30 49K20 49M15 80A20 35Q79 93C20 65F08 65F10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X.-C. Cai}, J. Sci. Comput. 70, No. 2, 717--743 (2017; Zbl 1404.65157) Full Text: DOI
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems. (English) Zbl 1342.49044 J. Sci. Comput. 67, No. 3, 860-882 (2016). MSC: 49M27 49N45 49M25 49K20 65M32 65M55 65M06 65M60 65F22 65F08 65F10 65Y05 90C06 PDFBibTeX XMLCite \textit{X. Deng} et al., J. Sci. Comput. 67, No. 3, 860--882 (2016; Zbl 1342.49044) Full Text: DOI arXiv
Kolomenskiy, Dmitry; Nave, Jean-Christophe; Schneider, Kai Adaptive gradient-augmented level set method with multiresolution error estimation. (English) Zbl 1338.35290 J. Sci. Comput. 66, No. 1, 116-140 (2016). MSC: 35L65 35Q35 65M25 65M50 PDFBibTeX XMLCite \textit{D. Kolomenskiy} et al., J. Sci. Comput. 66, No. 1, 116--140 (2016; Zbl 1338.35290) Full Text: DOI arXiv
Chen, Jen-Hao; Chern, I-Liang; Wang, Weichung A complete study of the ground state phase diagrams of spin-1 Bose-Einstein condensates in a magnetic field via continuation methods. (English) Zbl 1325.83014 J. Sci. Comput. 64, No. 1, 35-54 (2015). MSC: 83C47 81T20 83C60 78A25 83-08 PDFBibTeX XMLCite \textit{J.-H. Chen} et al., J. Sci. Comput. 64, No. 1, 35--54 (2015; Zbl 1325.83014) Full Text: DOI
Köcher, Uwe; Bause, Markus Variational space-time methods for the wave equation. (English) Zbl 1304.65218 J. Sci. Comput. 61, No. 2, 424-453 (2014). MSC: 65M60 35L05 65M12 PDFBibTeX XMLCite \textit{U. Köcher} and \textit{M. Bause}, J. Sci. Comput. 61, No. 2, 424--453 (2014; Zbl 1304.65218) Full Text: DOI
Gassner, G.; Lörcher, F.; Munz, C.-D. A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. (English) Zbl 1218.76027 J. Sci. Comput. 34, No. 3, 260-286 (2008). MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{G. Gassner} et al., J. Sci. Comput. 34, No. 3, 260--286 (2008; Zbl 1218.76027) Full Text: DOI
Lörcher, F.; Gassner, G.; Munz, C.-D. A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. (English) Zbl 1143.76047 J. Sci. Comput. 32, No. 2, 175-199 (2007). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{F. Lörcher} et al., J. Sci. Comput. 32, No. 2, 175--199 (2007; Zbl 1143.76047) Full Text: DOI
Lie, Knut-Andreas; Noelle, Sebastian An improved quadrature rule for the flux computation in staggered central difference schemes in multidimensions. (English) Zbl 1024.76030 J. Sci. Comput. 18, No. 1, 69-81 (2003). MSC: 76M20 65M06 35L65 PDFBibTeX XMLCite \textit{K.-A. Lie} and \textit{S. Noelle}, J. Sci. Comput. 18, No. 1, 69--81 (2003; Zbl 1024.76030) Full Text: DOI