Schäfer, Florian; Owhadi, Houman Sparse recovery of elliptic solvers from matrix-vector products. (English) Zbl 07820570 SIAM J. Sci. Comput. 46, No. 2, A998-A1025 (2024). MSC: 65N55 65N22 65N15 65F05 65F50 65F55 65Y05 68T07 62C10 35R11 PDFBibTeX XMLCite \textit{F. Schäfer} and \textit{H. Owhadi}, SIAM J. Sci. Comput. 46, No. 2, A998--A1025 (2024; Zbl 07820570) Full Text: DOI arXiv
Li, Zhengyi; Wang, Yanli; Liu, Hongsheng; Wang, Zidong; Dong, Bin Solving the Boltzmann equation with a neural sparse representation. (English) Zbl 07820563 SIAM J. Sci. Comput. 46, No. 2, C186-C215 (2024). MSC: 35Q20 76P05 68T07 82C40 15A18 65F55 35R02 PDFBibTeX XMLCite \textit{Z. Li} et al., SIAM J. Sci. Comput. 46, No. 2, C186--C215 (2024; Zbl 07820563) Full Text: DOI arXiv
Bachmayr, Markus; Faldum, Manfred A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations. (English) Zbl 07820047 J. Complexity 82, Article ID 101839, 70 p. (2024). MSC: 65M99 65T60 35K10 41A25 46B28 65F08 65B05 65F55 15A69 PDFBibTeX XMLCite \textit{M. Bachmayr} and \textit{M. Faldum}, J. Complexity 82, Article ID 101839, 70 p. (2024; Zbl 07820047) Full Text: DOI arXiv
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. (English) Zbl 07810329 Math. Comput. 93, No. 347, 1153-1202 (2024). MSC: 65M60 65M06 65N30 65M75 65D05 65F55 65P10 82C40 78A35 78A25 78M34 76X05 82D10 35Q83 35Q60 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Math. Comput. 93, No. 347, 1153--1202 (2024; Zbl 07810329) Full Text: DOI arXiv
Einkemmer, Lukas; Hu, Jingwei; Kusch, Jonas Asymptotic-preserving and energy stable dynamical low-rank approximation. (English) Zbl 07794523 SIAM J. Numer. Anal. 62, No. 1, 73-92 (2024). MSC: 65L05 65F55 35L65 65M12 35B40 PDFBibTeX XMLCite \textit{L. Einkemmer} et al., SIAM J. Numer. Anal. 62, No. 1, 73--92 (2024; Zbl 07794523) Full Text: DOI arXiv
Heydari, M. H.; Zhagharian, Sh.; Razzaghi, M. Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. (English) Zbl 07793556 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107742, 13 p. (2024). MSC: 65M70 60H15 41A50 26A33 35R11 35R60 76A05 35Q35 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107742, 13 p. (2024; Zbl 07793556) Full Text: DOI
Barary, Zeinab; Cherati, AllahBakhsh Yazdani; Nemati, Somayeh An efficient numerical scheme for solving a general class of fractional differential equations via fractional-order hybrid Jacobi functions. (English) Zbl 07784256 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024). MSC: 65N35 65N15 41A50 33C45 65F05 74F10 74K20 35Q74 35R11 PDFBibTeX XMLCite \textit{Z. Barary} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024; Zbl 07784256) Full Text: DOI
Ying, Lexing Solving inverse problems with deep learning. (English) Zbl 07822589 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5154-5175 (2023). MSC: 65N21 65N99 68T07 65R32 78A46 74J25 86A22 65F55 35S05 PDFBibTeX XMLCite \textit{L. Ying}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5154--5175 (2023; Zbl 07822589) Full Text: DOI OA License
Vabishchevich, Petr N. Nonlinear approximation of functions based on nonnegative least squares solver. (English) Zbl 07790639 Numer. Linear Algebra Appl. 30, No. 6, e2522, 11 p. (2023). MSC: 26A33 35R11 65F60 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Numer. Linear Algebra Appl. 30, No. 6, e2522, 11 p. (2023; Zbl 07790639) Full Text: DOI arXiv
Gao, Yijin; Mayfield, Jay; Luo, Songting Numerical solutions of the time-dependent Schrödinger equation with position-dependent effective mass. (English) Zbl 07777353 Numer. Methods Partial Differ. Equations 39, No. 4, 3222-3245 (2023). MSC: 65M22 65F10 65F25 65F55 65F60 65T50 65M80 41A58 35B40 35Q41 PDFBibTeX XMLCite \textit{Y. Gao} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3222--3245 (2023; Zbl 07777353) Full Text: DOI
Lei, Wenyu; Turkiyyah, George; Knio, Omar Finite element discretizations for variable-order fractional diffusion problems. (English) Zbl 1522.65216 J. Sci. Comput. 97, No. 1, Paper No. 5, 36 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N35 65N38 65N06 65N22 65D32 65F55 35A01 35A02 35R11 PDFBibTeX XMLCite \textit{W. Lei} et al., J. Sci. Comput. 97, No. 1, Paper No. 5, 36 p. (2023; Zbl 1522.65216) Full Text: DOI arXiv
Vabishchevich, Petr N. Exponent splitting schemes for evolution equations with fractional powers of operators. (English) Zbl 07709145 Int. J. Numer. Anal. Model. 20, No. 3, 371-390 (2023). MSC: 65-XX 35R11 26A33 65F60 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Int. J. Numer. Anal. Model. 20, No. 3, 371--390 (2023; Zbl 07709145) Full Text: DOI
Aslefallah, Mohammad; Abbasbandy, Saeid; Yüzbaşi, Şuayip Numerical solution for a class of nonlinear Emden-Fowler equations by exponential collocation method. (English) Zbl 1524.65310 Appl. Appl. Math. 18, No. 1, Paper No. 10, 13 p. (2023). MSC: 65M06 65M12 65M70 85A30 85A15 34A34 35A24 PDFBibTeX XMLCite \textit{M. Aslefallah} et al., Appl. Appl. Math. 18, No. 1, Paper No. 10, 13 p. (2023; Zbl 1524.65310) Full Text: Link
Heydari, M. H.; Atangana, A. A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative. (English) Zbl 1518.35630 Math. Sci., Springer 17, No. 2, 169-181 (2023). MSC: 35R11 35A35 35K57 65M12 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{A. Atangana}, Math. Sci., Springer 17, No. 2, 169--181 (2023; Zbl 1518.35630) Full Text: DOI
Slavchev, Dimitar; Margenov, Svetozar On the application of a hierarchically semi-separable compression for space-fractional parabolic problems with varying time steps. (English) Zbl 1521.65094 Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 289-301 (2023). MSC: 65M60 35R11 65F55 PDFBibTeX XMLCite \textit{D. Slavchev} and \textit{S. Margenov}, Lect. Notes Comput. Sci. 13858, 289--301 (2023; Zbl 1521.65094) Full Text: DOI
Asano, Yuhma; Ishiki, Goro; Matsumoto, Takaki; Shimasaki, Shinji; Watanabe, Hiromasa On the existence of the NS5-brane limit of the plane wave matrix model. (English) Zbl 1523.83063 PTEP, Prog. Theor. Exper. Phys. 2023, No. 4, Article ID 043B01, 27 p. (2023). MSC: 83E30 65F35 35C07 83C47 55P60 65C05 83C25 PDFBibTeX XMLCite \textit{Y. Asano} et al., PTEP, Prog. Theor. Exper. Phys. 2023, No. 4, Article ID 043B01, 27 p. (2023; Zbl 1523.83063) Full Text: DOI arXiv
Budylin, A. M.; Levin, S. B. Solution of the quantum three-body problem in a neighborhood of the three-particle forward scattering direction. (English. Russian original) Zbl 1521.81414 Math. Notes 113, No. 3, 327-338 (2023); translation from Mat. Zametki 113, No. 3, 332-346 (2023). MSC: 81U10 35P20 81U20 81Q15 PDFBibTeX XMLCite \textit{A. M. Budylin} and \textit{S. B. Levin}, Math. Notes 113, No. 3, 327--338 (2023; Zbl 1521.81414); translation from Mat. Zametki 113, No. 3, 332--346 (2023) Full Text: DOI
Boullé, Nicolas; Townsend, Alex Learning elliptic partial differential equations with randomized linear algebra. (English) Zbl 1514.65194 Found. Comput. Math. 23, No. 2, 709-739 (2023). MSC: 65N80 35J08 60G15 65F55 65F20 PDFBibTeX XMLCite \textit{N. Boullé} and \textit{A. Townsend}, Found. Comput. Math. 23, No. 2, 709--739 (2023; Zbl 1514.65194) Full Text: DOI arXiv
Davies, Bryn Microthesis: Using functional analysis to design the materials of the future. (English) Zbl 1509.74004 Lond. Math. Soc., Newsl. 2023, No. 505, 26-27 (2023). MSC: 74A40 74E30 74G10 35Q74 PDFBibTeX XMLCite \textit{B. Davies}, Lond. Math. Soc., Newsl. 2023, No. 505, 26--27 (2023; Zbl 1509.74004) Full Text: Link
Liaudat, Tobias; Starck, Jean-Luc; Kilbinger, Martin; Frugier, Pierre-Antoine Rethinking data-driven point spread function modeling with a differentiable optical model. (English) Zbl 1510.78023 Inverse Probl. 39, No. 3, Article ID 035008, 41 p. (2023). MSC: 78A46 78A45 78A40 78-10 86A10 86A22 65M32 78M50 90C15 65D12 65D25 68Q32 05C05 49N25 35B65 PDFBibTeX XMLCite \textit{T. Liaudat} et al., Inverse Probl. 39, No. 3, Article ID 035008, 41 p. (2023; Zbl 1510.78023) Full Text: DOI arXiv
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus Exponential meshes and \(\mathcal{H}\)-matrices. (English) Zbl 1524.65744 Comput. Math. Appl. 130, 21-40 (2023). MSC: 65N30 65F05 35J25 65N15 65F50 65F55 PDFBibTeX XMLCite \textit{N. Angleitner} et al., Comput. Math. Appl. 130, 21--40 (2023; Zbl 1524.65744) Full Text: DOI arXiv
Gan, Di; Zhang, Guo-Feng Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1505.65284 J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023). MSC: 65N06 65M06 65F08 65F10 65F55 65M12 65N12 15B05 65T50 26A33 35R11 PDFBibTeX XMLCite \textit{D. Gan} and \textit{G.-F. Zhang}, J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023; Zbl 1505.65284) Full Text: DOI
Tahir, Shko Ali; Sari, Murat A new approach for the coupled advection-diffusion processes including source effects. (English) Zbl 1507.65146 Appl. Numer. Math. 184, 391-405 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65D07 65L05 65H10 65F05 41A15 35Q53 PDFBibTeX XMLCite \textit{S. A. Tahir} and \textit{M. Sari}, Appl. Numer. Math. 184, 391--405 (2023; Zbl 1507.65146) Full Text: DOI
Fusi, Lorenzo; Vergori, Luigi The Rayleigh-Bénard problem for a fluid with pressure- and temperature-dependent material properties. (English) Zbl 1503.35160 Z. Angew. Math. Phys. 74, No. 1, Paper No. 8, 18 p. (2023). MSC: 35Q35 76R10 80A19 35P15 34L16 65N35 76M12 PDFBibTeX XMLCite \textit{L. Fusi} and \textit{L. Vergori}, Z. Angew. Math. Phys. 74, No. 1, Paper No. 8, 18 p. (2023; Zbl 1503.35160) Full Text: DOI
Wang, Christopher; Townsend, Alex Operator learning for hyperbolic partial differential equations. arXiv:2312.17489 Preprint, arXiv:2312.17489 [math.NA] (2023). MSC: 65M80 65F55 35L20 47A58 BibTeX Cite \textit{C. Wang} and \textit{A. Townsend}, ``Operator learning for hyperbolic partial differential equations'', Preprint, arXiv:2312.17489 [math.NA] (2023) Full Text: arXiv OA License
Chowdhary, Abhijit; Tong, Shanyin; Stadler, Georg; Alexanderian, Alen Sensitivity Analysis of the Information Gain in Infinite-Dimensional Bayesian Linear Inverse Problems. arXiv:2310.16906 Preprint, arXiv:2310.16906 [math.NA] (2023). MSC: 65C60 90C31 62F15 35R30 65F55 BibTeX Cite \textit{A. Chowdhary} et al., ``Sensitivity Analysis of the Information Gain in Infinite-Dimensional Bayesian Linear Inverse Problems'', Preprint, arXiv:2310.16906 [math.NA] (2023) Full Text: arXiv OA License
Feppon, Florian; Ammari, Habib Modal decompositions and point scatterer approximations near the minnaert resonance frequencies. (English) Zbl 07779110 Stud. Appl. Math. 149, No. 1, 164-229 (2022). MSC: 78-XX 35-XX PDFBibTeX XMLCite \textit{F. Feppon} and \textit{H. Ammari}, Stud. Appl. Math. 149, No. 1, 164--229 (2022; Zbl 07779110) Full Text: DOI OA License
Wang, Fajie; Chen, Zengtao; Gong, Yanpeng Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two- and three-dimensional domains. (English) Zbl 1527.65119 Int. J. Numer. Methods Eng. 123, No. 20, 4877-4892 (2022). MSC: 65N21 65N20 65N35 65D12 65F20 65F50 35J05 15A09 35R60 PDFBibTeX XMLCite \textit{F. Wang} et al., Int. J. Numer. Methods Eng. 123, No. 20, 4877--4892 (2022; Zbl 1527.65119) Full Text: DOI
Zhang, Min; Zhang, Guo-Feng Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing. (English) Zbl 1507.91239 Numer. Algorithms 91, No. 4, 1559-1575 (2022). MSC: 91G60 65M06 65N06 65F10 65F08 65F50 65F55 65N20 65N22 65Y05 15B05 26A33 35R11 91G20 35Q91 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{G.-F. Zhang}, Numer. Algorithms 91, No. 4, 1559--1575 (2022; Zbl 1507.91239) Full Text: DOI
Motamed, Mohammad A hierarchically low-rank optimal transport dissimilarity measure for structured data. (English) Zbl 1507.65087 BIT 62, No. 4, 1945-1982 (2022). MSC: 65F55 65Y20 35Q49 PDFBibTeX XMLCite \textit{M. Motamed}, BIT 62, No. 4, 1945--1982 (2022; Zbl 1507.65087) Full Text: DOI
Chen, Chao; Biros, George Overlapping domain decomposition preconditioner for integral equations. (English) Zbl 1514.65189 SIAM J. Sci. Comput. 44, No. 6, A3617-A3644 (2022). MSC: 65N55 65R20 65F08 65F35 65F55 35R09 45B05 PDFBibTeX XMLCite \textit{C. Chen} and \textit{G. Biros}, SIAM J. Sci. Comput. 44, No. 6, A3617--A3644 (2022; Zbl 1514.65189) Full Text: DOI arXiv
Gujjula, Vaishnavi; Ambikasaran, Sivaram A new directional algebraic fast multipole method based iterative solver for the Lippmann-Schwinger equation accelerated with HODLR preconditioner. (English) Zbl 1508.65149 Commun. Comput. Phys. 32, No. 4, 1061-1093 (2022). MSC: 65M80 35J05 35J08 65F55 65R10 65R20 PDFBibTeX XMLCite \textit{V. Gujjula} and \textit{S. Ambikasaran}, Commun. Comput. Phys. 32, No. 4, 1061--1093 (2022; Zbl 1508.65149) Full Text: DOI arXiv
Amin, Rohul; Shah, Kamal; Mlaiki, Nabil; Yüzbaşı, Şuayip; Abdeljawad, Thabet; Hussain, Arshad Existence and numerical analysis using Haar wavelet for fourth-order multi-term fractional differential equations. (English) Zbl 1513.65397 Comput. Appl. Math. 41, No. 7, Paper No. 329, 15 p. (2022). MSC: 65M70 65T60 65F05 26A33 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{R. Amin} et al., Comput. Appl. Math. 41, No. 7, Paper No. 329, 15 p. (2022; Zbl 1513.65397) Full Text: DOI
Alzahrani, Hasnaa; Turkiyyah, George; Knio, Omar; Keyes, David Space-fractional diffusion with variable order and diffusivity: discretization and direct solution strategies. (English) Zbl 1513.35511 Commun. Appl. Math. Comput. 4, No. 4, 1416-1440 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 65F55 65R20 PDFBibTeX XMLCite \textit{H. Alzahrani} et al., Commun. Appl. Math. Comput. 4, No. 4, 1416--1440 (2022; Zbl 1513.35511) Full Text: DOI arXiv
Setukha, A. V.; Stavtsev, S. L.; Tret’yakova, R. M. Application of mosaic-skeleton approximations of matrices in the physical optics method for electromagnetic scattering problems. (English. Russian original) Zbl 1498.78021 Comput. Math. Math. Phys. 62, No. 9, 1424-1437 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 9, 1458-1472 (2022). MSC: 78A45 65R20 78M15 78M35 65F55 35Q60 PDFBibTeX XMLCite \textit{A. V. Setukha} et al., Comput. Math. Math. Phys. 62, No. 9, 1424--1437 (2022; Zbl 1498.78021); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 9, 1458--1472 (2022) Full Text: DOI
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam \({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. (English) Zbl 1502.65199 Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022). MSC: 65N30 65F55 78A25 35Q61 PDFBibTeX XMLCite \textit{M. Faustmann} et al., Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022; Zbl 1502.65199) Full Text: DOI arXiv
Singh, Manpal; Das, S.; Rajeev; Ong, S. H. Novel operational matrix method for the numerical solution of nonlinear reaction-advection-diffusion equation of fractional order. (English) Zbl 1513.65423 Comput. Appl. Math. 41, No. 7, Paper No. 306, 18 p. (2022). MSC: 65M70 35R11 34A08 41A10 PDFBibTeX XMLCite \textit{M. Singh} et al., Comput. Appl. Math. 41, No. 7, Paper No. 306, 18 p. (2022; Zbl 1513.65423) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
Ammari, Habib; Fiorani, Francesco; Hiltunen, Erik Orvehed On the validity of the tight-binding method for describing systems of subwavelength resonators. (English) Zbl 1498.35022 SIAM J. Appl. Math. 82, No. 4, 1611-1634 (2022). MSC: 35B15 35C20 35J05 35L05 35P20 74J20 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Appl. Math. 82, No. 4, 1611--1634 (2022; Zbl 1498.35022) Full Text: DOI arXiv
Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim V.; Schwab, Christoph Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. (English) Zbl 1496.65220 Multiscale Model. Simul. 20, No. 3, 893-935 (2022). MSC: 65N30 65N50 65N15 65N22 35B27 15A69 PDFBibTeX XMLCite \textit{V. Kazeev} et al., Multiscale Model. Simul. 20, No. 3, 893--935 (2022; Zbl 1496.65220) Full Text: DOI arXiv
Hu, Jingwei; Wang, Yubo An adaptive dynamical low rank method for the nonlinear Boltzmann equation. (English) Zbl 1504.65223 J. Sci. Comput. 92, No. 2, Paper No. 75, 24 p. (2022). MSC: 65M70 65M06 65N35 65F10 65F55 65M12 65M15 35Q20 76P05 76L05 76N15 82C40 35L67 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Wang}, J. Sci. Comput. 92, No. 2, Paper No. 75, 24 p. (2022; Zbl 1504.65223) Full Text: DOI arXiv
Skalko, Yu. I.; Gridnev, S. Yu. Generalized Riemann problem on the decay of a discontinuity with additional conditions at the boundary and its application for constructing computational algorithms. (English. Russian original) Zbl 1495.35123 J. Math. Sci., New York 263, No. 4, 498-510 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 38-50 (2019). MSC: 35L67 35A08 35B40 35L45 PDFBibTeX XMLCite \textit{Yu. I. Skalko} and \textit{S. Yu. Gridnev}, J. Math. Sci., New York 263, No. 4, 498--510 (2022; Zbl 1495.35123); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 38--50 (2019) Full Text: DOI
Vabishchevich, Petr N. Factorized schemes for first and second order evolution equations with fractional powers of operators. (English) Zbl 07516755 Comput. Methods Appl. Math. 22, No. 2, 493-510 (2022). MSC: 65Mxx 26A33 35R11 65F60 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Comput. Methods Appl. Math. 22, No. 2, 493--510 (2022; Zbl 07516755) Full Text: DOI
Pang, Hong-Kui; Qin, Hai-Hua; Sun, Hai-Wei All-at-once method for variable-order time fractional diffusion equations. (English) Zbl 1493.65135 Numer. Algorithms 90, No. 1, 31-57 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65D05 65M12 65F10 65F55 65F05 26A33 35R11 PDFBibTeX XMLCite \textit{H.-K. Pang} et al., Numer. Algorithms 90, No. 1, 31--57 (2022; Zbl 1493.65135) Full Text: DOI
Harizanov, Stanislav; Kosturski, Nikola; Lirkov, Ivan; Margenov, Svetozar; Vutov, Yavor Reduced sum implementation of the BURA method for spectral fractional diffusion problems. (English) Zbl 1493.65174 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 57-64 (2022). MSC: 65N06 65K10 65F08 65F50 65N15 49J35 65N30 26A33 35R11 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Lect. Notes Comput. Sci. 13127, 57--64 (2022; Zbl 1493.65174) Full Text: DOI arXiv
Vabishchevich, Petr N. Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. (English) Zbl 1524.65405 J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022). MSC: 65M06 26A33 35R11 65F60 65D32 35B45 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022; Zbl 1524.65405) Full Text: DOI arXiv
Budd, Jeremy; van Gennip, Yves; Latz, Jonas Classification and image processing with a semi-discrete scheme for fidelity forced Allen-Cahn on graphs. (English) Zbl 07778858 GAMM-Mitt. 44, No. 1, Article ID 202100004, 43 p. (2021). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65F55 65F20 65D18 68T05 68U10 15A18 82B41 62H30 35R02 35R60 35Q56 PDFBibTeX XMLCite \textit{J. Budd} et al., GAMM-Mitt. 44, No. 1, Article ID 202100004, 43 p. (2021; Zbl 07778858) Full Text: DOI arXiv OA License
Dolgov, Sergey; Vejchodský, Tomáš Guaranteed a posteriori error bounds for low-rank tensor approximate solutions. (English) Zbl 1511.65121 IMA J. Numer. Anal. 41, No. 2, 1240-1266 (2021). MSC: 65N30 65K10 65F55 65N15 15A69 35J25 35Q55 PDFBibTeX XMLCite \textit{S. Dolgov} and \textit{T. Vejchodský}, IMA J. Numer. Anal. 41, No. 2, 1240--1266 (2021; Zbl 1511.65121) Full Text: DOI arXiv
Pourbabaee, Marzieh; Saadatmandi, Abbas The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113 Int. J. Comput. Math. 98, No. 11, 2310-2329 (2021). MSC: 65M70 65D32 65M15 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{M. Pourbabaee} and \textit{A. Saadatmandi}, Int. J. Comput. Math. 98, No. 11, 2310--2329 (2021; Zbl 1491.65113) Full Text: DOI
Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. (English) Zbl 1481.65253 J. Numer. Math. 29, No. 4, 289-306 (2021). MSC: 65N55 65N30 65F55 65F08 15A18 15A42 49M41 35J05 PDFBibTeX XMLCite \textit{Z. Dostál} et al., J. Numer. Math. 29, No. 4, 289--306 (2021; Zbl 1481.65253) Full Text: DOI
Datta, K. B.; Datta, Somantika Application of Zernike polynomials in solving certain first and second order partial differential equations. (English) Zbl 1481.35020 Jaen J. Approx. 12, 111-154 (2021). MSC: 35A35 35J25 41A10 PDFBibTeX XMLCite \textit{K. B. Datta} and \textit{S. Datta}, Jaen J. Approx. 12, 111--154 (2021; Zbl 1481.35020) Full Text: Link
Dostalík, Mark; Matyska, Ctirad; Průša, Vít Weakly nonlinear analysis of Rayleigh-Bénard convection problem in extended Boussinesq approximation. (English) Zbl 1510.76050 Appl. Math. Comput. 408, Article ID 126374, 14 p. (2021). MSC: 76E06 35Q35 76E20 80A19 PDFBibTeX XMLCite \textit{M. Dostalík} et al., Appl. Math. Comput. 408, Article ID 126374, 14 p. (2021; Zbl 1510.76050) Full Text: DOI
Börm, Steffen Fast large-scale boundary element algorithms. (English) Zbl 1493.65250 Kozubek, Tomáš (ed.) et al., High performance computing in science and engineering. 4th international conference, HPCSE 2019, Karolinka, Czech Republic, May 20–23, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12456, 60-79 (2021). MSC: 65N38 65N30 65N12 65R20 65F55 26B20 35J05 35J25 PDFBibTeX XMLCite \textit{S. Börm}, Lect. Notes Comput. Sci. 12456, 60--79 (2021; Zbl 1493.65250) Full Text: DOI arXiv
Lu, Xin; Zhang, Ping; Shi, Liwei; Hou, Songming; Kuang, Ying A radial basis function meshless numerical method for solving interface problems in irregular domains. (English) Zbl 1488.65692 Adv. Appl. Math. Mech. 13, No. 3, 645-670 (2021). MSC: 65N35 65D12 65M70 65M06 65M15 35J05 35K05 PDFBibTeX XMLCite \textit{X. Lu} et al., Adv. Appl. Math. Mech. 13, No. 3, 645--670 (2021; Zbl 1488.65692) Full Text: DOI
Eriksson, Sofia Inverses of SBP-SAT finite difference operators approximating the first and second derivative. (English) Zbl 1502.65061 J. Sci. Comput. 89, No. 2, Paper No. 30, 29 p. (2021). MSC: 65M06 65N06 65M12 35K05 15A09 PDFBibTeX XMLCite \textit{S. Eriksson}, J. Sci. Comput. 89, No. 2, Paper No. 30, 29 p. (2021; Zbl 1502.65061) Full Text: DOI arXiv
Xia, Mingtao; Shao, Sihong; Chou, Tom Efficient scaling and moving techniques for spectral methods in unbounded domains. (English) Zbl 1484.65277 SIAM J. Sci. Comput. 43, No. 5, A3244-A3268 (2021). MSC: 65M70 65F35 65M50 33C45 41A05 65M12 65M15 35C08 35B44 PDFBibTeX XMLCite \textit{M. Xia} et al., SIAM J. Sci. Comput. 43, No. 5, A3244--A3268 (2021; Zbl 1484.65277) Full Text: DOI arXiv
Sadeghi, S.; Jafari, H.; Nemati, S. Solving fractional advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative. (English) Zbl 1473.35635 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3747-3761 (2021). MSC: 35R11 35A35 35K15 PDFBibTeX XMLCite \textit{S. Sadeghi} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3747--3761 (2021; Zbl 1473.35635) Full Text: DOI
Li, Shi-Lin; Liu, Yuan-Yuan; Li, Wen-Du; Dai, Wu-Sheng Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function). (English) Zbl 1471.81105 Ann. Phys. 432, Article ID 168578, 27 p. (2021). MSC: 81V22 83C15 83C57 81U24 81U20 31B10 81Q15 35P05 PDFBibTeX XMLCite \textit{S.-L. Li} et al., Ann. Phys. 432, Article ID 168578, 27 p. (2021; Zbl 1471.81105) Full Text: DOI arXiv
Dektor, Alec; Rodgers, Abram; Venturi, Daniele Rank-adaptive tensor methods for high-dimensional nonlinear PDEs. (English) Zbl 1501.65032 J. Sci. Comput. 88, No. 2, Paper No. 36, 27 p. (2021). MSC: 65M06 65F55 65J15 15A69 47J05 35R01 PDFBibTeX XMLCite \textit{A. Dektor} et al., J. Sci. Comput. 88, No. 2, Paper No. 36, 27 p. (2021; Zbl 1501.65032) Full Text: DOI arXiv
Ding, Zhiyan; Einkemmer, Lukas; Li, Qin Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit. (English) Zbl 1507.65206 SIAM J. Numer. Anal. 59, No. 4, 2254-2285 (2021). MSC: 65M99 35L02 65F55 65M06 80A21 PDFBibTeX XMLCite \textit{Z. Ding} et al., SIAM J. Numer. Anal. 59, No. 4, 2254--2285 (2021; Zbl 1507.65206) Full Text: DOI arXiv
Charif, Mirna; Zielinski, Lech Perturbation series for Jacobi matrices and the quantum Rabi model. (English) Zbl 1469.81019 Opusc. Math. 41, No. 3, 301-333 (2021). MSC: 81Q10 81Q15 47B36 15A18 81V80 35B34 40A30 PDFBibTeX XMLCite \textit{M. Charif} and \textit{L. Zielinski}, Opusc. Math. 41, No. 3, 301--333 (2021; Zbl 1469.81019) Full Text: DOI
Bachmayr, Markus; Eisenmann, Henrik; Kieri, Emil; Uschmajew, André Existence of dynamical low-rank approximations to parabolic problems. (English) Zbl 1482.65136 Math. Comput. 90, No. 330, 1799-1830 (2021). MSC: 65M06 65F55 65L05 35K15 35R01 15A18 15A69 35A01 35A02 35D30 PDFBibTeX XMLCite \textit{M. Bachmayr} et al., Math. Comput. 90, No. 330, 1799--1830 (2021; Zbl 1482.65136) Full Text: DOI arXiv
Chou, Lot-Kei; Lei, Siu-Long Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations. (English) Zbl 1524.65451 Comput. Math. Appl. 89, 116-126 (2021). MSC: 65M08 35R11 65M06 65M12 26A33 15B05 65N08 65F55 PDFBibTeX XMLCite \textit{L.-K. Chou} and \textit{S.-L. Lei}, Comput. Math. Appl. 89, 116--126 (2021; Zbl 1524.65451) Full Text: DOI
Meyer, Marcela Molina; Prieto Medina, Frank Richard Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 1524.65896 Comput. Math. Appl. 89, 1-19 (2021). MSC: 65N35 35J05 35J25 65L10 31A30 45D05 41A50 PDFBibTeX XMLCite \textit{M. M. Meyer} and \textit{F. R. Prieto Medina}, Comput. Math. Appl. 89, 1--19 (2021; Zbl 1524.65896) Full Text: DOI arXiv
Gosse, Laurent Diffusive limit of a two-dimensional well-balanced scheme for the free Klein-Kramers equation. (English) Zbl 1462.35400 Multiscale Model. Simul. 19, No. 1, 568-587 (2021). MSC: 35Q84 65M06 76R50 82B40 35B40 PDFBibTeX XMLCite \textit{L. Gosse}, Multiscale Model. Simul. 19, No. 1, 568--587 (2021; Zbl 1462.35400) Full Text: DOI
Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. (English) Zbl 1466.65166 J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021). MSC: 65N06 35J25 35R11 65F60 65D32 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021; Zbl 1466.65166) Full Text: DOI arXiv
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. (English) Zbl 1475.65081 Appl. Numer. Math. 161, 244-274 (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M06 65N06 65M12 65M15 42C10 41A50 35R11 PDFBibTeX XMLCite \textit{N. Srivastava} et al., Appl. Numer. Math. 161, 244--274 (2021; Zbl 1475.65081) Full Text: DOI
Biala, T. A.; Khaliq, Abdul Q. M. Predictor-corrector schemes for nonlinear space-fractional parabolic PDEs with time-dependent boundary conditions. (English) Zbl 1460.65111 Appl. Numer. Math. 160, 1-22 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M06 65N06 65D32 65L10 41A21 35R11 65M15 PDFBibTeX XMLCite \textit{T. A. Biala} and \textit{A. Q. M. Khaliq}, Appl. Numer. Math. 160, 1--22 (2021; Zbl 1460.65111) Full Text: DOI
Garoffolo, Alice; Tasinato, Gianmassimo; Carbone, Carmelita; Bertacca, Daniele; Matarrese, Sabino Gravitational waves and geometrical optics in scalar-tensor theories. (English) Zbl 1486.83021 J. Cosmol. Astropart. Phys. 2020, No. 11, Paper No. 40, 50 p. (2020). MSC: 83C35 83D05 83C50 78A05 81T32 35C07 83C10 53C22 83F05 83C25 PDFBibTeX XMLCite \textit{A. Garoffolo} et al., J. Cosmol. Astropart. Phys. 2020, No. 11, Paper No. 40, 50 p. (2020; Zbl 1486.83021) Full Text: DOI arXiv
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. Numerical approximation of fractional powers of elliptic operators. (English) Zbl 1466.65184 IMA J. Numer. Anal. 40, No. 3, 1746-1771 (2020). MSC: 65N30 65N22 65F60 41A21 35J15 35R11 PDFBibTeX XMLCite \textit{B. Duan} et al., IMA J. Numer. Anal. 40, No. 3, 1746--1771 (2020; Zbl 1466.65184) Full Text: DOI arXiv
Börm, Steffen; Börst, Christina Hybrid matrix compression for high-frequency problems. (English) Zbl 1459.35092 SIAM J. Matrix Anal. Appl. 41, No. 4, 1704-1725 (2020). MSC: 35J05 65F55 65N38 PDFBibTeX XMLCite \textit{S. Börm} and \textit{C. Börst}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1704--1725 (2020; Zbl 1459.35092) Full Text: DOI arXiv
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations. (English) Zbl 1474.65383 Comput. Appl. Math. 39, No. 4, Paper No. 259, 32 p. (2020). MSC: 65M70 26A33 33F05 35R09 35R11 65M15 65M12 45K05 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Comput. Appl. Math. 39, No. 4, Paper No. 259, 32 p. (2020; Zbl 1474.65383) Full Text: DOI
Hassani, Hossein; Tenreiro Machado, J. A.; Avazzadeh, Zakieh; Naraghirad, E. Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. (English) Zbl 1450.35267 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105229, 11 p. (2020). MSC: 35R11 74G15 41A10 30E25 35A35 65M12 PDFBibTeX XMLCite \textit{H. Hassani} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105229, 11 p. (2020; Zbl 1450.35267) Full Text: DOI
Bogdanov, D. V.; Sadykov, T. M. Hypergeometric polynomials are optimal. (English) Zbl 1446.35086 Math. Z. 296, No. 1-2, 373-390 (2020). MSC: 35P20 15A60 47B06 47B35 33C45 PDFBibTeX XMLCite \textit{D. V. Bogdanov} and \textit{T. M. Sadykov}, Math. Z. 296, No. 1--2, 373--390 (2020; Zbl 1446.35086) Full Text: DOI arXiv
Cancès, Eric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin; Xiang, Shuyang An embedded corrector problem for homogenization. I: Theory. (English) Zbl 1446.35015 Multiscale Model. Simul. 18, No. 3, 1179-1209 (2020). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{E. Cancès} et al., Multiscale Model. Simul. 18, No. 3, 1179--1209 (2020; Zbl 1446.35015) Full Text: DOI arXiv
Georgieva, Irina; Harizanov, Stanislav; Hofreither, Clemens Iterative low-rank approximation solvers for the extension method for fractional diffusion. (English) Zbl 1446.65152 Comput. Math. Appl. 80, No. 2, 351-366 (2020). MSC: 65N22 65N30 65N12 35R11 26A33 65F10 65F55 15A69 PDFBibTeX XMLCite \textit{I. Georgieva} et al., Comput. Math. Appl. 80, No. 2, 351--366 (2020; Zbl 1446.65152) Full Text: DOI
Toivanen, Jari; Wolfmayr, Monika A fast Fourier transform based direct solver for the Helmholtz problem. (English) Zbl 07217192 Numer. Linear Algebra Appl. 27, No. 3, e2283, 16 p. (2020). Reviewer: Manfred Tasche (Rostock) MSC: 35A35 35J05 65N30 65T50 42A38 65F05 65N22 35J25 PDFBibTeX XMLCite \textit{J. Toivanen} and \textit{M. Wolfmayr}, Numer. Linear Algebra Appl. 27, No. 3, e2283, 16 p. (2020; Zbl 07217192) Full Text: DOI arXiv Link
Kuehn, Christian; Kürschner, Patrick Combined error estimates for local fluctuations of SPDEs. (English) Zbl 07189697 Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020). MSC: 65C30 65M99 60H15 35R60 37M99 15A24 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{P. Kürschner}, Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020; Zbl 07189697) Full Text: DOI arXiv
Dartois, Stéphane; Evnin, Oleg; Lionni, Luca; Rivasseau, Vincent; Valette, Guillaume Melonic turbulence. (English) Zbl 1436.81095 Commun. Math. Phys. 374, No. 2, 1179-1228 (2020). Reviewer: Akira Asada (Takarazuka) MSC: 81T15 81T18 81T20 35Q55 35B34 81T32 81V73 78A37 82B26 34L40 46E36 PDFBibTeX XMLCite \textit{S. Dartois} et al., Commun. Math. Phys. 374, No. 2, 1179--1228 (2020; Zbl 1436.81095) Full Text: DOI arXiv
Sarumi, Ibrahim O.; Furati, Khaled M.; Khaliq, Abdul Q. M. Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse. (English) Zbl 1440.65100 J. Sci. Comput. 82, No. 2, Paper No. 46, 27 p. (2020). MSC: 65M06 33E12 41A21 35C20 26A33 35R11 74F10 74K20 35Q74 PDFBibTeX XMLCite \textit{I. O. Sarumi} et al., J. Sci. Comput. 82, No. 2, Paper No. 46, 27 p. (2020; Zbl 1440.65100) Full Text: DOI arXiv
Nicholls, David P.; Pérez-Arancibia, Carlos; Turc, Catalin Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media. (English) Zbl 1434.65301 J. Sci. Comput. 82, No. 2, Paper No. 44, 45 p. (2020). MSC: 65N38 35J05 65T40 65F08 65N55 65F10 65F05 PDFBibTeX XMLCite \textit{D. P. Nicholls} et al., J. Sci. Comput. 82, No. 2, Paper No. 44, 45 p. (2020; Zbl 1434.65301) Full Text: DOI arXiv
Čiegis, Raimondas; Vabishchevich, Petr N. High order numerical schemes for solving fractional powers of elliptic operators. (English) Zbl 1440.65085 J. Comput. Appl. Math. 372, Article ID 112627, 17 p. (2020). MSC: 65M06 65N30 65M12 26A33 35R11 65F60 PDFBibTeX XMLCite \textit{R. Čiegis} and \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 372, Article ID 112627, 17 p. (2020; Zbl 1440.65085) Full Text: DOI arXiv
Biala, T. A. Second-order predictor-corrector schemes for nonlinear distributed-order space-fractional differential equations with non-smooth initial data. (English) Zbl 1499.65374 Int. J. Comput. Math. 96, No. 9, 1861-1878 (2019). MSC: 65M06 65N06 65M12 35R11 26A33 76R50 41A21 PDFBibTeX XMLCite \textit{T. A. Biala}, Int. J. Comput. Math. 96, No. 9, 1861--1878 (2019; Zbl 1499.65374) Full Text: DOI
Delkhosh, Mehdi; Parand, Kourosh An efficient numerical method for solving nonlinear astrophysics equations of arbitrary order. (English) Zbl 1499.85001 Hacet. J. Math. Stat. 48, No. 6, 1601-1619 (2019). MSC: 85-08 34A08 34A45 35A24 85A15 PDFBibTeX XMLCite \textit{M. Delkhosh} and \textit{K. Parand}, Hacet. J. Math. Stat. 48, No. 6, 1601--1619 (2019; Zbl 1499.85001) Full Text: Link
Borcea, Liliana; Druskin, Vladimir; Mamonov, Alexander V.; Zaslavsky, Mikhail Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models. (English) Zbl 1451.65136 J. Comput. Phys. 381, 1-26 (2019). MSC: 65M32 65F55 35R30 78A46 PDFBibTeX XMLCite \textit{L. Borcea} et al., J. Comput. Phys. 381, 1--26 (2019; Zbl 1451.65136) Full Text: DOI arXiv
Napov, Artem; Perrussel, Ronan Algebraic analysis of two-level multigrid methods for edge elements. (English) Zbl 1440.65267 ETNA, Electron. Trans. Numer. Anal. 51, 387-411 (2019). MSC: 65N55 65N30 65F55 65N12 65N22 35Q60 PDFBibTeX XMLCite \textit{A. Napov} and \textit{R. Perrussel}, ETNA, Electron. Trans. Numer. Anal. 51, 387--411 (2019; Zbl 1440.65267) Full Text: DOI Link
Rjasanow, Sergej; Weißer, Steffen ACA improvement by surface segmentation. (English) Zbl 1433.65326 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 277-295 (2019). MSC: 65N38 35J05 65F55 65N12 PDFBibTeX XMLCite \textit{S. Rjasanow} and \textit{S. Weißer}, Lect. Notes Comput. Sci. Eng. 128, 277--295 (2019; Zbl 1433.65326) Full Text: DOI
Kumar, Sachin; Pandey, Prashant; Das, Subir Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations. (English) Zbl 1438.35433 Comput. Appl. Math. 38, No. 4, Paper No. 162, 22 p. (2019). MSC: 35R11 34A08 41A10 PDFBibTeX XMLCite \textit{S. Kumar} et al., Comput. Appl. Math. 38, No. 4, Paper No. 162, 22 p. (2019; Zbl 1438.35433) Full Text: DOI
Alzahrani, S. S.; Khaliq, A. Q. M.; Biala, T. A.; Furati, K. M. Fourth-order time stepping methods with matrix transfer technique for space-fractional reaction-diffusion equations. (English) Zbl 1431.65194 Appl. Numer. Math. 146, 123-144 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M99 65L06 35R11 41A21 65M12 65M06 35P10 PDFBibTeX XMLCite \textit{S. S. Alzahrani} et al., Appl. Numer. Math. 146, 123--144 (2019; Zbl 1431.65194) Full Text: DOI
Chakravarty, Koyel; Dalal, D. C. Stability analysis of drug dynamics model: a mathematical approach. (English) Zbl 1417.92063 Int. J. Biomath. 12, No. 4, Article ID 1950043, 32 p. (2019). MSC: 92C45 35Q92 34D20 PDFBibTeX XMLCite \textit{K. Chakravarty} and \textit{D. C. Dalal}, Int. J. Biomath. 12, No. 4, Article ID 1950043, 32 p. (2019; Zbl 1417.92063) Full Text: DOI
Singh, Swarn; Singh, Suruchi; Lin, Ping; Arora, Rajni Unconditionally stable modified methods for the solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. (English) Zbl 1419.65031 Numer. Methods Partial Differ. Equations 35, No. 1, 246-266 (2019). MSC: 65M06 65M12 35Q60 78M20 PDFBibTeX XMLCite \textit{S. Singh} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 246--266 (2019; Zbl 1419.65031) Full Text: DOI Link
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems. (English) Zbl 1462.65161 J. Comput. Appl. Math. 351, 344-363 (2019). MSC: 65M70 65K05 35R11 35R07 41A21 49M25 PDFBibTeX XMLCite \textit{S. Hosseinpour} et al., J. Comput. Appl. Math. 351, 344--363 (2019; Zbl 1462.65161) Full Text: DOI
Mukaihira, Atsushi; Tsuboi, Yoshimasa DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems. (English) Zbl 1406.37055 J. Comput. Appl. Math. 347, 273-295 (2019). MSC: 37K20 42C05 37K10 33D45 65F15 35Q55 37K35 41A21 PDFBibTeX XMLCite \textit{A. Mukaihira} and \textit{Y. Tsuboi}, J. Comput. Appl. Math. 347, 273--295 (2019; Zbl 1406.37055) Full Text: DOI
Soleymani, Fazlollah; Barfeie, Mahdiar; Haghani, Farhad Khaksar Inverse multi-quadric RBF for computing the weights of FD method: application to American options. (English) Zbl 1524.65397 Commun. Nonlinear Sci. Numer. Simul. 64, 74-88 (2018). MSC: 65M06 65D12 65M15 91G20 91G60 35Q91 65F35 PDFBibTeX XMLCite \textit{F. Soleymani} et al., Commun. Nonlinear Sci. Numer. Simul. 64, 74--88 (2018; Zbl 1524.65397) Full Text: DOI
Tibaut, Jan; Škerget, Leopold; Ravnik, Jure Acceleration of BEM with the cross approximation for determination of boundary vorticity. (English) Zbl 1416.65320 Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXX. Selected papers based on the presentations at the 40th international conference (BEM/MRM), New Forest, UK, September 12–14 , 2017. Southampton: WIT Press. 137-147 (2018). MSC: 65M38 35Q30 76D05 65M70 65R20 76M15 PDFBibTeX XMLCite \textit{J. Tibaut} et al., in: Boundary elements and other mesh reduction methods XXXX. Selected papers based on the presentations at the 40th international conference (BEM/MRM), New Forest, UK, September 12--14 , 2017. Southampton: WIT Press. 137--147 (2018; Zbl 1416.65320) Full Text: DOI
Mascotto, Lorenzo Ill-conditioning in the virtual element method: stabilizations and bases. (English) Zbl 1407.65294 Numer. Methods Partial Differ. Equations 34, No. 4, 1258-1281 (2018). MSC: 65N30 35J05 41A10 65F35 15A12 PDFBibTeX XMLCite \textit{L. Mascotto}, Numer. Methods Partial Differ. Equations 34, No. 4, 1258--1281 (2018; Zbl 1407.65294) Full Text: DOI arXiv
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran A new approach for solving a class of delay fractional partial differential equations. (English) Zbl 1407.65214 Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018). MSC: 65M70 35R11 44A10 42C10 65D32 33C45 PDFBibTeX XMLCite \textit{S. Hosseinpour} et al., Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018; Zbl 1407.65214) Full Text: DOI
Bao, Gang; Cao, Yanzhao; Hao, Yongle; Zhang, Kai A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation. (English) Zbl 1405.78012 J. Sci. Comput. 77, No. 1, 419-442 (2018). MSC: 78M31 78A45 65N30 65C05 35J05 65F30 PDFBibTeX XMLCite \textit{G. Bao} et al., J. Sci. Comput. 77, No. 1, 419--442 (2018; Zbl 1405.78012) Full Text: DOI
Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. (English) Zbl 1405.65161 SIAM J. Sci. Comput. 40, No. 6, A4007-A4039 (2018). MSC: 65N55 35R11 65N08 15B05 65F15 65F08 PDFBibTeX XMLCite \textit{M. Donatelli} et al., SIAM J. Sci. Comput. 40, No. 6, A4007--A4039 (2018; Zbl 1405.65161) Full Text: DOI
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. Optimal solvers for linear systems with fractional powers of sparse SPD matrices. (English) Zbl 1513.65132 Numer. Linear Algebra Appl. 25, No. 5, e2167, 24 p. (2018). MSC: 65F99 35R11 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Numer. Linear Algebra Appl. 25, No. 5, e2167, 24 p. (2018; Zbl 1513.65132) Full Text: DOI arXiv