Qi, Ren-jun; Zhao, Xuan A unified design of energy stable schemes with variable steps for fractional gradient flows and nonlinear integro-differential equations. (English) Zbl 07801541 SIAM J. Sci. Comput. 46, No. 1, A130-A155 (2024). MSC: 35Q99 26A33 35R11 35R09 65M70 65M06 65N35 65N50 65M12 PDFBibTeX XMLCite \textit{R.-j. Qi} and \textit{X. Zhao}, SIAM J. Sci. Comput. 46, No. 1, A130--A155 (2024; Zbl 07801541) Full Text: DOI
Xue, Zhongqin; Zhao, Xuan Compatible energy dissipation of the variable-step \(L1\) scheme for the space-time fractional Cahn-Hilliard equation. (English) Zbl 07749377 SIAM J. Sci. Comput. 45, No. 5, A2539-A2560 (2023). MSC: 65-XX 35R11 65M50 65M12 PDFBibTeX XMLCite \textit{Z. Xue} and \textit{X. Zhao}, SIAM J. Sci. Comput. 45, No. 5, A2539--A2560 (2023; Zbl 07749377) Full Text: DOI
Seibel, Daniel Almost complete analytical integration in Galerkin boundary element methods. (English) Zbl 1522.65237 SIAM J. Sci. Comput. 45, No. 4, A2075-A2100 (2023). MSC: 65N38 65R20 65D30 65N30 PDFBibTeX XMLCite \textit{D. Seibel}, SIAM J. Sci. Comput. 45, No. 4, A2075--A2100 (2023; Zbl 1522.65237) Full Text: DOI
Mohyaddin, Sasan; Tausch, Johannes A fast method for evaluating volume potentials in the Galerkin boundary element method. (English) Zbl 1518.65137 SIAM J. Sci. Comput. 45, No. 2, A480-A501 (2023). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N38 65N12 65N30 65N15 35B40 35B65 35J05 PDFBibTeX XMLCite \textit{S. Mohyaddin} and \textit{J. Tausch}, SIAM J. Sci. Comput. 45, No. 2, A480--A501 (2023; Zbl 1518.65137) Full Text: DOI arXiv
Zhang, Zhengqi; Zhou, Zhi Backward diffusion-wave problem: stability, regularization, and approximation. (English) Zbl 1506.65146 SIAM J. Sci. Comput. 44, No. 5, A3183-A3216 (2022). Reviewer: Christian Clason (Graz) MSC: 65M32 65M60 65M06 65N30 65M15 65D32 35B65 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Z. Zhou}, SIAM J. Sci. Comput. 44, No. 5, A3183--A3216 (2022; Zbl 1506.65146) Full Text: DOI arXiv
Dirckx, Simon; Huybrechs, Daan; Meerbergen, Karl Frequency extraction for BEM matrices arising from the 3D scalar Helmholtz equation. (English) Zbl 1501.35136 SIAM J. Sci. Comput. 44, No. 5, B1282-B1311 (2022). MSC: 35J05 65N38 65N30 PDFBibTeX XMLCite \textit{S. Dirckx} et al., SIAM J. Sci. Comput. 44, No. 5, B1282--B1311 (2022; Zbl 1501.35136) Full Text: DOI arXiv
Liu, Meng; Yang, Jiaqing The sampling method for inverse exterior Stokes problems. (English) Zbl 1496.65202 SIAM J. Sci. Comput. 44, No. 3, B429-B456 (2022). MSC: 65N21 35R30 62D05 76D07 74F10 35A01 35A02 PDFBibTeX XMLCite \textit{M. Liu} and \textit{J. Yang}, SIAM J. Sci. Comput. 44, No. 3, B429--B456 (2022; Zbl 1496.65202) Full Text: DOI
Wu, Shuonan; Zhou, Zhi A parallel-in-time algorithm for high-order BDF methods for diffusion and subdiffusion equations. (English) Zbl 1491.65084 SIAM J. Sci. Comput. 43, No. 6, A3627-A3656 (2021). MSC: 65M20 65L06 65M12 65M15 65M60 65Y05 PDFBibTeX XMLCite \textit{S. Wu} and \textit{Z. Zhou}, SIAM J. Sci. Comput. 43, No. 6, A3627--A3656 (2021; Zbl 1491.65084) Full Text: DOI arXiv
Liao, Hong-Lin; Tang, Tao; Zhou, Tao An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. (English) Zbl 1481.65142 SIAM J. Sci. Comput. 43, No. 5, A3503-A3526 (2021). MSC: 65M06 65M12 74A50 35Q74 PDFBibTeX XMLCite \textit{H.-L. Liao} et al., SIAM J. Sci. Comput. 43, No. 5, A3503--A3526 (2021; Zbl 1481.65142) Full Text: DOI arXiv
Konschin, Alexander Numerical scheme for electromagnetic scattering on perturbed periodic inhomogeneous media and reconstruction of the perturbation. (English) Zbl 1472.35371 SIAM J. Sci. Comput. 43, No. 3, B712-B732 (2021). MSC: 35Q61 35A35 65N30 65N21 65K10 78A45 78A46 78M10 35R30 PDFBibTeX XMLCite \textit{A. Konschin}, SIAM J. Sci. Comput. 43, No. 3, B712--B732 (2021; Zbl 1472.35371) Full Text: DOI
Glusa, Christian; Antil, Harbir; D’Elia, Marta; van Bloemen Waanders, Bart; Weiss, Chester J. A fast solver for the fractional Helmholtz equation. (English) Zbl 1471.65208 SIAM J. Sci. Comput. 43, No. 2, A1362-A1388 (2021). MSC: 65N35 65N30 65N12 65N15 65N22 35J05 35A01 35A02 35B65 35R11 PDFBibTeX XMLCite \textit{C. Glusa} et al., SIAM J. Sci. Comput. 43, No. 2, A1362--A1388 (2021; Zbl 1471.65208) Full Text: DOI
Audibert, L.; Chesnel, L.; Haddar, H.; Napal, K. Qualitative indicator functions for imaging crack networks using acoustic waves. (English) Zbl 1461.35222 SIAM J. Sci. Comput. 43, No. 2, B271-B297 (2021). MSC: 35R30 35J05 35J25 78A40 78A46 PDFBibTeX XMLCite \textit{L. Audibert} et al., SIAM J. Sci. Comput. 43, No. 2, B271--B297 (2021; Zbl 1461.35222) Full Text: DOI arXiv
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming Adaptive second-order Crank-Nicolson time-stepping schemes for time-fractional molecular beam epitaxial growth models. (English) Zbl 1464.35229 SIAM J. Sci. Comput. 42, No. 3, B738-B760 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 65M06 65M12 76A20 35R11 PDFBibTeX XMLCite \textit{B. Ji} et al., SIAM J. Sci. Comput. 42, No. 3, B738--B760 (2020; Zbl 1464.35229) Full Text: DOI arXiv
Escapil-Inchauspé, Paul; Jerez-Hanckes, Carlos Helmholtz scattering by random domains: first-order sparse boundary element approximation. (English) Zbl 07271922 SIAM J. Sci. Comput. 42, No. 5, A2561-A2592 (2020). MSC: 47A40 35J25 49Q12 PDFBibTeX XMLCite \textit{P. Escapil-Inchauspé} and \textit{C. Jerez-Hanckes}, SIAM J. Sci. Comput. 42, No. 5, A2561--A2592 (2020; Zbl 07271922) Full Text: DOI arXiv
Robinson, Gregor; Grooms, Ian A fast tunable blurring algorithm for scattered data. (English) Zbl 1452.65036 SIAM J. Sci. Comput. 42, No. 4, A2281-A2299 (2020). MSC: 65D15 68U10 65D10 62M20 93E11 60G35 94A12 PDFBibTeX XMLCite \textit{G. Robinson} and \textit{I. Grooms}, SIAM J. Sci. Comput. 42, No. 4, A2281--A2299 (2020; Zbl 1452.65036) Full Text: DOI arXiv
Minden, Victor; Ying, Lexing A simple solver for the fractional Laplacian in multiple dimensions. (English) Zbl 1437.65242 SIAM J. Sci. Comput. 42, No. 2, A878-A900 (2020). MSC: 65R20 35R11 65N06 26A33 PDFBibTeX XMLCite \textit{V. Minden} and \textit{L. Ying}, SIAM J. Sci. Comput. 42, No. 2, A878--A900 (2020; Zbl 1437.65242) Full Text: DOI arXiv
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. (English) Zbl 1434.65291 SIAM J. Sci. Comput. 42, No. 2, A849-A877 (2020). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 35R11 33C45 65N30 PDFBibTeX XMLCite \textit{S. Chen} et al., SIAM J. Sci. Comput. 42, No. 2, A849--A877 (2020; Zbl 1434.65291) Full Text: DOI
Keßler, Torsten; Rjasanow, Sergej; Weißer, Steffen Vlasov-Poisson system tackled by particle simulation utilizing boundary element methods. (English) Zbl 1439.35476 SIAM J. Sci. Comput. 42, No. 1, B299-B326 (2020). MSC: 35Q83 65Z05 65N75 65N38 68W25 82D10 35J05 PDFBibTeX XMLCite \textit{T. Keßler} et al., SIAM J. Sci. Comput. 42, No. 1, B299--B326 (2020; Zbl 1439.35476) Full Text: DOI arXiv
Ammari, Habib; Bruno, Oscar; Imeri, Kthim; Nigam, Nilima Wave enhancement through optimization of boundary conditions. (English) Zbl 1430.35171 SIAM J. Sci. Comput. 42, No. 1, B207-B224 (2020). MSC: 35P15 35R30 35C20 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Sci. Comput. 42, No. 1, B207--B224 (2020; Zbl 1430.35171) Full Text: DOI arXiv
Tang, Tao; Yu, Haijun; Zhou, Tao On energy dissipation theory and numerical stability for time-fractional phase-field equations. (English) Zbl 1435.65146 SIAM J. Sci. Comput. 41, No. 6, A3757-A3778 (2019). Reviewer: Denys Dutykh (Chambéry) MSC: 65M12 35K59 35R11 65M06 74A50 35B50 PDFBibTeX XMLCite \textit{T. Tang} et al., SIAM J. Sci. Comput. 41, No. 6, A3757--A3778 (2019; Zbl 1435.65146) Full Text: DOI arXiv
Qu, Fenglong; Zhang, Bo; Zhang, Haiwen A novel integral equation for scattering by locally rough surfaces and application to the inverse problem: the Neumann case. (English) Zbl 1427.35364 SIAM J. Sci. Comput. 41, No. 6, A3673-A3702 (2019). MSC: 35R30 35Q60 65R20 65N21 78A46 PDFBibTeX XMLCite \textit{F. Qu} et al., SIAM J. Sci. Comput. 41, No. 6, A3673--A3702 (2019; Zbl 1427.35364) Full Text: DOI arXiv
Dölz, Jürgen; Kurz, Stefan; Schöps, Sebastian; Wolf, Felix Isogeometric boundary elements in electromagnetism: rigorous analysis, fast methods, and examples. (English) Zbl 07123202 SIAM J. Sci. Comput. 41, No. 5, B983-B1010 (2019). MSC: 65D07 65N38 65Y20 PDFBibTeX XMLCite \textit{J. Dölz} et al., SIAM J. Sci. Comput. 41, No. 5, B983--B1010 (2019; Zbl 07123202) Full Text: DOI arXiv
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em Efficient multistep methods for tempered fractional calculus: algorithms and simulations. (English) Zbl 07099350 SIAM J. Sci. Comput. 41, No. 4, A2510-A2535 (2019). MSC: 65-XX 26A33 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{L. Guo} et al., SIAM J. Sci. Comput. 41, No. 4, A2510--A2535 (2019; Zbl 07099350) Full Text: DOI arXiv
Pérez-Arancibia, Carlos; Turc, Catalin; Faria, Luiz Planewave density interpolation methods for 3D Helmholtz boundary integral equations. (English) Zbl 1430.45001 SIAM J. Sci. Comput. 41, No. 4, A2088-A2116 (2019). MSC: 45A05 45E99 65R20 35J05 PDFBibTeX XMLCite \textit{C. Pérez-Arancibia} et al., SIAM J. Sci. Comput. 41, No. 4, A2088--A2116 (2019; Zbl 1430.45001) Full Text: DOI arXiv
Colbrook, Matthew J.; Fokas, Thanasis S.; Hashemzadeh, Parham A hybrid analytical-numerical technique for elliptic pdes. (English) Zbl 1414.65039 SIAM J. Sci. Comput. 41, No. 2, A1066-A1090 (2019). MSC: 65N35 65N12 35J25 PDFBibTeX XMLCite \textit{M. J. Colbrook} et al., SIAM J. Sci. Comput. 41, No. 2, A1066--A1090 (2019; Zbl 1414.65039) Full Text: DOI
Fischer, Marina Fast and parallel Runge-Kutta approximation of fractional evolution equations. (English) Zbl 1411.65165 SIAM J. Sci. Comput. 41, No. 2, A927-A947 (2019). MSC: 65R20 65M15 65Y05 35R11 PDFBibTeX XMLCite \textit{M. Fischer}, SIAM J. Sci. Comput. 41, No. 2, A927--A947 (2019; Zbl 1411.65165) Full Text: DOI arXiv
Le, Kim Ngan; McLean, William; Mustapha, Kassem A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data. (English) Zbl 1404.65123 SIAM J. Sci. Comput. 40, No. 6, A3831-A3852 (2018). MSC: 65M12 65M15 65M60 65Z05 35Q84 45K05 35R11 PDFBibTeX XMLCite \textit{K. N. Le} et al., SIAM J. Sci. Comput. 40, No. 6, A3831--A3852 (2018; Zbl 1404.65123) Full Text: DOI arXiv
Ainsworth, Mark; Glusa, Christian Hybrid finite element-spectral method for the fractional Laplacian: approximation theory and efficient solver. (English) Zbl 1402.65148 SIAM J. Sci. Comput. 40, No. 4, A2383-A2405 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N35 35R11 65N25 35B45 65F10 35P15 65Y20 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{C. Glusa}, SIAM J. Sci. Comput. 40, No. 4, A2383--A2405 (2018; Zbl 1402.65148) Full Text: DOI arXiv
Zepeda-Núñez, Leonardo; Demanet, Laurent Nested domain decomposition with polarized traces for the 2D Helmholtz equation. (English) Zbl 1394.65136 SIAM J. Sci. Comput. 40, No. 3, B942-B981 (2018). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N22 65N55 65Z05 76M20 65Y05 76Q05 65F08 35J05 65N06 PDFBibTeX XMLCite \textit{L. Zepeda-Núñez} and \textit{L. Demanet}, SIAM J. Sci. Comput. 40, No. 3, B942--B981 (2018; Zbl 1394.65136) Full Text: DOI arXiv
Li, Dongfang; Wang, Jilu; Zhang, Jiwei Unconditionally convergent \(L1\)-Galerkin FEMs for nonlinear time-fractional Schrödinger equations. (English) Zbl 1379.65079 SIAM J. Sci. Comput. 39, No. 6, A3067-A3088 (2017). MSC: 65M60 35Q55 35R11 65M15 65M12 PDFBibTeX XMLCite \textit{D. Li} et al., SIAM J. Sci. Comput. 39, No. 6, A3067--A3088 (2017; Zbl 1379.65079) Full Text: DOI
Wu, Shu-Lin; Chen, Xiaojun A parallel iterative algorithm for differential linear complementarity problems. (English) Zbl 1379.65050 SIAM J. Sci. Comput. 39, No. 6, A3040-A3066 (2017). MSC: 65L05 34A34 65K05 90C33 65Y05 65L20 PDFBibTeX XMLCite \textit{S.-L. Wu} and \textit{X. Chen}, SIAM J. Sci. Comput. 39, No. 6, A3040--A3066 (2017; Zbl 1379.65050) Full Text: DOI
Lechleiter, Armin; Zhang, Ruming A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces. (English) Zbl 1380.35070 SIAM J. Sci. Comput. 39, No. 5, B819-B839 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35A35 65N30 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{R. Zhang}, SIAM J. Sci. Comput. 39, No. 5, B819--B839 (2017; Zbl 1380.35070) Full Text: DOI arXiv
Gaspar, Francisco J.; Rodrigo, Carmen Multigrid waveform relaxation for the time-fractional heat equation. (English) Zbl 1371.65103 SIAM J. Sci. Comput. 39, No. 4, A1201-A1224 (2017). MSC: 65M55 35K05 35R11 65Y20 PDFBibTeX XMLCite \textit{F. J. Gaspar} and \textit{C. Rodrigo}, SIAM J. Sci. Comput. 39, No. 4, A1201--A1224 (2017; Zbl 1371.65103) Full Text: DOI arXiv
Erath, Christoph; Schorr, Robert An adaptive nonsymmetric finite volume and boundary element coupling method for a fluid mechanics interface problem. (English) Zbl 1365.65237 SIAM J. Sci. Comput. 39, No. 3, A741-A760 (2017). MSC: 65N08 65N38 65N15 65N50 76M12 76M15 PDFBibTeX XMLCite \textit{C. Erath} and \textit{R. Schorr}, SIAM J. Sci. Comput. 39, No. 3, A741--A760 (2017; Zbl 1365.65237) Full Text: DOI arXiv
Ainsworth, Mark; Glusa, Christian Is the multigrid method fault tolerant? the two-grid case. (English) Zbl 1365.65081 SIAM J. Sci. Comput. 39, No. 2, C116-C143 (2017). MSC: 65F10 65N55 65N12 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{C. Glusa}, SIAM J. Sci. Comput. 39, No. 2, C116--C143 (2017; Zbl 1365.65081) Full Text: DOI arXiv
Zeng, Fanhai; Mao, Zhiping; Karniadakis, George Em A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities. (English) Zbl 1431.65193 SIAM J. Sci. Comput. 39, No. 1, A360-A383 (2017). MSC: 65M70 26A33 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{F. Zeng} et al., SIAM J. Sci. Comput. 39, No. 1, A360--A383 (2017; Zbl 1431.65193) Full Text: DOI
Zhao, Xuan; Zhang, Zhimin Superconvergence points of fractional spectral interpolation. (English) Zbl 1416.65483 SIAM J. Sci. Comput. 38, No. 1, A598-A613 (2016). MSC: 65N35 26A33 41A05 65N12 41A10 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{Z. Zhang}, SIAM J. Sci. Comput. 38, No. 1, A598--A613 (2016; Zbl 1416.65483) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. (English) Zbl 1381.65082 SIAM J. Sci. Comput. 38, No. 1, A146-A170 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 35K05 35R11 35L05 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Sci. Comput. 38, No. 1, A146--A170 (2016; Zbl 1381.65082) Full Text: DOI arXiv Link
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations. (English) Zbl 1339.65197 SIAM J. Sci. Comput. 37, No. 6, A2710-A2732 (2015). MSC: 65M70 35R11 65L60 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{F. Zeng} et al., SIAM J. Sci. Comput. 37, No. 6, A2710--A2732 (2015; Zbl 1339.65197) Full Text: DOI Link