Bakhdil, Nouamane; El Mousaoui, Abdelghani; Hakim, Abdelilah A kinetic theory approach to model pedestrian social groups behavior in bounded domain. (English) Zbl 07803465 Kinet. Relat. Models 17, No. 1, 88-106 (2024). MSC: 35Q91 91C99 65M75 65C05 PDFBibTeX XMLCite \textit{N. Bakhdil} et al., Kinet. Relat. Models 17, No. 1, 88--106 (2024; Zbl 07803465) Full Text: DOI
Pulch, Roland; Sète, Olivier The Helmholtz equation with uncertainties in the wavenumber. (English) Zbl 07802479 J. Sci. Comput. 98, No. 3, Paper No. 60, 24 p. (2024). Reviewer: Xue Jiang (Beijing) MSC: 65N30 65N06 65C20 35R60 65F08 65F10 PDFBibTeX XMLCite \textit{R. Pulch} and \textit{O. Sète}, J. Sci. Comput. 98, No. 3, Paper No. 60, 24 p. (2024; Zbl 07802479) Full Text: DOI arXiv OA License
Henaff, Yoann Le Grid-free weighted particle method applied to the Vlasov-Poisson equation. (English) Zbl 07819967 Numer. Math. 155, No. 3-4, 289-344 (2023). MSC: 65M22 65M75 65T50 65P10 65L06 65D32 65L70 35B65 35A24 35Q70 35Q83 PDFBibTeX XMLCite \textit{Y. Le Henaff}, Numer. Math. 155, No. 3--4, 289--344 (2023; Zbl 07819967) Full Text: DOI
Zakradze, Mamuli; Tabagari, Zaza; Mirianashvili, Manana; Koblishvili, Nana; Davitashvili, Tinatin The method of probabilistic solution for the Dirichlet generalized harmonic problem in irregular pyramidal domains. (English) Zbl 07819458 Trans. A. Razmadze Math. Inst. 177, No. 3, 475-483 (2023). MSC: 35J05 35J25 65C30 65N75 PDFBibTeX XMLCite \textit{M. Zakradze} et al., Trans. A. Razmadze Math. Inst. 177, No. 3, 475--483 (2023; Zbl 07819458) Full Text: Link
Hwang, Youngjin; Kim, Ildoo; Kwak, Soobin; Ham, Seokjun; Kim, Sangkwon; Kim, Junseok Unconditionally stable Monte Carlo simulation for solving the multi-dimensional Allen-Cahn equation. (English) Zbl 07804383 Electron. Res. Arch. 31, No. 8, 5104-5123 (2023). MSC: 65M06 65M75 65C05 60H35 35K05 35A24 35R60 PDFBibTeX XMLCite \textit{Y. Hwang} et al., Electron. Res. Arch. 31, No. 8, 5104--5123 (2023; Zbl 07804383) Full Text: DOI
Duan, Junxia; Peng, Jun The probabilistic solution of a system of semilinear elliptic PDEs under the third boundary conditions. (English) Zbl 07785419 Potential Anal. 59, No. 4, 1571-1597 (2023). MSC: 35J57 35J61 31C25 60H15 60J60 PDFBibTeX XMLCite \textit{J. Duan} and \textit{J. Peng}, Potential Anal. 59, No. 4, 1571--1597 (2023; Zbl 07785419) Full Text: DOI
Leszczyński, Henryk; Wrzosek, Monika Newton’s method for stochastic semilinear wave equations driven by multiplicative time-space noise. (English) Zbl 07747215 Math. Nachr. 296, No. 2, 689-700 (2023). Reviewer: Anna Karczewska (Zielona Gora) MSC: 60H15 35R60 35R10 PDFBibTeX XMLCite \textit{H. Leszczyński} and \textit{M. Wrzosek}, Math. Nachr. 296, No. 2, 689--700 (2023; Zbl 07747215) Full Text: DOI
Gerster, Stephan; Semplice, Matteo Semi-conservative high order scheme with numerical entropy indicator for intrusive formulations of hyperbolic systems. (English) Zbl 07705897 J. Comput. Phys. 489, Article ID 112254, 18 p. (2023). MSC: 65Mxx 35Lxx 65Cxx PDFBibTeX XMLCite \textit{S. Gerster} and \textit{M. Semplice}, J. Comput. Phys. 489, Article ID 112254, 18 p. (2023; Zbl 07705897) Full Text: DOI
Radici, Emanuela; Stra, Federico Entropy solutions of mildly singular nonlocal scalar conservation laws with congestion via deterministic particle methods. (English) Zbl 1518.35471 SIAM J. Math. Anal. 55, No. 3, 2001-2041 (2023). MSC: 35L03 35D30 35L65 35R09 65M12 65M75 PDFBibTeX XMLCite \textit{E. Radici} and \textit{F. Stra}, SIAM J. Math. Anal. 55, No. 3, 2001--2041 (2023; Zbl 1518.35471) Full Text: DOI
Doma, S. B.; Gohar, A. A.; Younes, M. S. Analytical solutions of the molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov method. (English) Zbl 1523.81213 J. Math. Chem. 61, No. 6, 1301-1312 (2023). MSC: 81V55 70F05 81Q05 35A09 35P05 35P10 62H22 PDFBibTeX XMLCite \textit{S. B. Doma} et al., J. Math. Chem. 61, No. 6, 1301--1312 (2023; Zbl 1523.81213) Full Text: DOI
Ma, Liping; Zhao, Lijing; Wang, Xiaodong An iteration-free semi-Lagrangian meshless method for Burgers’ equations. (English) Zbl 1521.65086 Eng. Anal. Bound. Elem. 150, 482-491 (2023). MSC: 65M25 65D32 65M75 35Q53 PDFBibTeX XMLCite \textit{L. Ma} et al., Eng. Anal. Bound. Elem. 150, 482--491 (2023; Zbl 1521.65086) Full Text: DOI
Le, Thu; Nguyen, Dinh-Liem; Nguyen, Vu; Truong, Trung Sampling type method combined with deep learning for inverse scattering with one incident wave. (English) Zbl 07680915 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 63-80 (2023). MSC: 65-XX 35R30 78A46 65C20 PDFBibTeX XMLCite \textit{T. Le} et al., Contemp. Math. 784, 63--80 (2023; Zbl 07680915) Full Text: DOI arXiv
Silva, Goncalo Discrete effects on the source term for the lattice Boltzmann modelling of one-dimensional reaction-diffusion equations. (English) Zbl 1521.76699 Comput. Fluids 251, Article ID 105735, 20 p. (2023). MSC: 76M28 65M75 35K57 PDFBibTeX XMLCite \textit{G. Silva}, Comput. Fluids 251, Article ID 105735, 20 p. (2023; Zbl 1521.76699) Full Text: DOI
Mohammed, Mogtaba Homogenization of a nonlinear stochastic model with nonlinear random forces for chemical reactive flows in porous media. (English) Zbl 1512.35040 Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4598-4624 (2023). MSC: 35B27 35K57 35Q92 35R60 60H15 60H30 PDFBibTeX XMLCite \textit{M. Mohammed}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4598--4624 (2023; Zbl 1512.35040) Full Text: DOI
Xie, Huantian; Zhang, Zhaozhong; Jiang, Ziwu; Zhou, Jianwei Novel method of particular solutions for second-order variable coefficient differential equations on a square. (English) Zbl 07675810 Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3294-3306 (2023). MSC: 65N75 65N85 42C10 65N12 65N15 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{H. Xie} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3294--3306 (2023; Zbl 07675810) Full Text: DOI
Lin, Guang; Moya, Christian; Zhang, Zecheng B-DeepONet: an enhanced Bayesian deeponet for solving noisy parametric PDEs using accelerated replica exchange SGLD. (English) Zbl 07625386 J. Comput. Phys. 473, Article ID 111713, 28 p. (2023). MSC: 65Cxx 35Kxx 35Rxx PDFBibTeX XMLCite \textit{G. Lin} et al., J. Comput. Phys. 473, Article ID 111713, 28 p. (2023; Zbl 07625386) Full Text: DOI
Zakradze, Mamuli; Tabagari, Zaza; Sanikidze, Zaza; Abramidze, Edison Computer modelling of a probabilistic solution for the Dirichlet generalized harmonic problem in some finite axisymmetric bodies with a cylindrical hole. (English) Zbl 1505.35112 Bull. TICMI 26, No. 2, 37-52 (2022). MSC: 35J05 35J25 65C10 65N75 PDFBibTeX XMLCite \textit{M. Zakradze} et al., Bull. TICMI 26, No. 2, 37--52 (2022; Zbl 1505.35112) Full Text: Link
Yang, Zhiwei Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations. (English) Zbl 1506.65176 Z. Angew. Math. Phys. 73, No. 6, Paper No. 253, 15 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 65C30 60H35 60J65 35B65 35B35 34A08 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{Z. Yang}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 253, 15 p. (2022; Zbl 1506.65176) Full Text: DOI
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations. (English) Zbl 07616213 SMAI J. Comput. Math. 8, 161-199 (2022). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 65M75 65N50 65N06 65T60 65M15 35L65 41A58 76M28 35Q20 PDFBibTeX XMLCite \textit{T. Bellotti} et al., SMAI J. Comput. Math. 8, 161--199 (2022; Zbl 07616213) Full Text: DOI arXiv
Emereuwa, Chigoziem; Mohammed, Mogtaba Homogenization of a stochastic model of a single phase flow in partially fissured media. (English) Zbl 1500.35235 Asymptotic Anal. 129, No. 3-4, 413-450 (2022). MSC: 35Q35 76S05 74F10 35R60 76M50 PDFBibTeX XMLCite \textit{C. Emereuwa} and \textit{M. Mohammed}, Asymptotic Anal. 129, No. 3--4, 413--450 (2022; Zbl 1500.35235) Full Text: DOI
Chetverushkin, B. N.; Markov, M. B.; Uskov, R. V. On the parallelization of the particle method for hybrid supercomputers. (English. Russian original) Zbl 1497.65198 Dokl. Math. 106, No. 1, 225-229 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 19-23 (2022). MSC: 65M75 65Y10 78A45 78A40 78A20 82C40 35Q60 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} et al., Dokl. Math. 106, No. 1, 225--229 (2022; Zbl 1497.65198); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 19--23 (2022) Full Text: DOI
Fetecau, Razvan C.; Huang, Hui; Messenger, Daniel; Sun, Weiran Zero-diffusion limit for aggregation equations over bounded domains. (English) Zbl 1497.65199 Discrete Contin. Dyn. Syst. 42, No. 10, 4905-4936 (2022). MSC: 65M75 35K55 60H30 60J65 35R60 92C15 PDFBibTeX XMLCite \textit{R. C. Fetecau} et al., Discrete Contin. Dyn. Syst. 42, No. 10, 4905--4936 (2022; Zbl 1497.65199) Full Text: DOI arXiv
Jin, Zhuo; Tran, Ky; Yin, George Numerical solutions of stochastic control problems: Markov chain approximation methods. (English) Zbl 1501.60040 Trélat, Emmanuel (ed.) et al., Numerical control. Part A. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 23, 233-264 (2022). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J20 60J27 65C99 65K15 49K45 93E20 35F21 90C39 49L20 PDFBibTeX XMLCite \textit{Z. Jin} et al., Handb. Numer. Anal. 23, 233--264 (2022; Zbl 1501.60040) Full Text: Link
Zhu, Xingyu; Sun, Shuyu; Kou, Jisheng An energy stable SPH method for incompressible fluid flow. (English) Zbl 1513.65429 Adv. Appl. Math. Mech. 14, No. 5, 1201-1224 (2022). MSC: 65M75 65M12 76D03 35Q30 76M28 PDFBibTeX XMLCite \textit{X. Zhu} et al., Adv. Appl. Math. Mech. 14, No. 5, 1201--1224 (2022; Zbl 1513.65429) Full Text: DOI
Harris, Isaac; Nguyen, Dinh-Liem; Sands, Jonathan; Truong, Trung On the inverse scattering from anisotropic periodic layers and transmission eigenvalues. (English) Zbl 1492.35424 Appl. Anal. 101, No. 8, 3065-3081 (2022). MSC: 35R30 35J25 35P25 78A46 65C20 PDFBibTeX XMLCite \textit{I. Harris} et al., Appl. Anal. 101, No. 8, 3065--3081 (2022; Zbl 1492.35424) Full Text: DOI arXiv
Li, Yukun; Wu, Shuonan; Xing, Yulong Finite element approximations of a class of nonlinear stochastic wave equations with multiplicative noise. (English) Zbl 1490.65202 J. Sci. Comput. 91, No. 2, Paper No. 53, 29 p. (2022). MSC: 65M60 35Q60 60H35 65M12 65M15 65M75 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 91, No. 2, Paper No. 53, 29 p. (2022; Zbl 1490.65202) Full Text: DOI arXiv
Khandelwal, Rohit; Porwal, Kamana Pointwise a posteriori error analysis of a finite element method for the Signorini problem. (English) Zbl 1492.65316 J. Sci. Comput. 91, No. 2, Paper No. 42, 34 p. (2022). MSC: 65N30 65N15 65N75 74B10 74M15 35A23 35B45 35B65 35J86 PDFBibTeX XMLCite \textit{R. Khandelwal} and \textit{K. Porwal}, J. Sci. Comput. 91, No. 2, Paper No. 42, 34 p. (2022; Zbl 1492.65316) Full Text: DOI
Titarev, V. A.; Morozov, A. A. Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion. (English) Zbl 1510.76128 Appl. Math. Comput. 429, Article ID 127241, 19 p. (2022). MSC: 76M28 65M75 35Q20 65C05 PDFBibTeX XMLCite \textit{V. A. Titarev} and \textit{A. A. Morozov}, Appl. Math. Comput. 429, Article ID 127241, 19 p. (2022; Zbl 1510.76128) Full Text: DOI
Zheng, Yongfeng; Gu, Yan; Gao, Liang; Wang, Yanzheng; Qu, Jinping; Zhang, Chuanzeng A new structural uncertainty analysis method based on polynomial expansions. (English) Zbl 1510.74130 Appl. Math. Comput. 427, Article ID 127122, 7 p. (2022). MSC: 74S20 65N06 35Q49 74S60 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Appl. Math. Comput. 427, Article ID 127122, 7 p. (2022; Zbl 1510.74130) Full Text: DOI
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Burkardt, John; Pei, Wenlong; Trenchea, Catalin A stress test for the midpoint time-stepping method. (English) Zbl 1490.65134 Int. J. Numer. Anal. Model. 19, No. 2-3, 299-314 (2022). MSC: 65L05 34D20 35L65 65C20 65D30 65L07 65L20 65M12 PDFBibTeX XMLCite \textit{J. Burkardt} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 299--314 (2022; Zbl 1490.65134) Full Text: Link
Wang, Dan; Li, Qiang; Shen, Jihong An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach. (English) Zbl 1484.78011 Commun. Math. Sci. 20, No. 3, 747-762 (2022). MSC: 78A55 35M30 65C20 65K10 74M05 PDFBibTeX XMLCite \textit{D. Wang} et al., Commun. Math. Sci. 20, No. 3, 747--762 (2022; Zbl 1484.78011) Full Text: DOI
Lima, P. M.; Erlhagen, W.; Kulikova, M. V.; Kulikov, G. Yu. Numerical solution of the stochastic neural field equation with applications to working memory. (English) Zbl 07511867 Physica A 596, Article ID 127166, 20 p. (2022). MSC: 65-XX 35R60 60H15 60H20 65C20 65R20 65Z05 92C20 93C23 PDFBibTeX XMLCite \textit{P. M. Lima} et al., Physica A 596, Article ID 127166, 20 p. (2022; Zbl 07511867) Full Text: DOI
Iyer, Gautam; Van, Truong-Son Bounds on the heat transfer rate via passive advection. (English) Zbl 1504.76078 SIAM J. Math. Anal. 54, No. 2, 1927-1965 (2022). MSC: 76R50 74R10 76M30 76M35 35Q35 80A19 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{T.-S. Van}, SIAM J. Math. Anal. 54, No. 2, 1927--1965 (2022; Zbl 1504.76078) Full Text: DOI arXiv
Zakradze, M.; Kublashvili, M.; Tabagari, Z.; Koblishvili, N. On numerical solving the Dirichlet generalized harmonic problem for regular \(n\)-sided pyramidal domains by the probabilistic method. (English) Zbl 1486.35156 Trans. A. Razmadze Math. Inst. 176, No. 1, 123-132 (2022). MSC: 35J05 35J25 65C30 65N75 PDFBibTeX XMLCite \textit{M. Zakradze} et al., Trans. A. Razmadze Math. Inst. 176, No. 1, 123--132 (2022; Zbl 1486.35156) Full Text: Link
Wang, Xiao; Gu, Yan; Golub, Mikhail V. Analysis of bimaterial interface cracks using the localized method of fundamental solutions. (English) Zbl 1493.65269 Results Appl. Math. 13, Article ID 100231, 7 p. (2022). MSC: 65N75 65N35 65N50 74R10 74S99 35Q74 PDFBibTeX XMLCite \textit{X. Wang} et al., Results Appl. Math. 13, Article ID 100231, 7 p. (2022; Zbl 1493.65269) Full Text: DOI
Jin, Shi; Li, Lei On the mean field limit of the random batch method for interacting particle systems. (English) Zbl 1481.65018 Sci. China, Math. 65, No. 1, 169-202 (2022). MSC: 65C20 34F05 35K55 PDFBibTeX XMLCite \textit{S. Jin} and \textit{L. Li}, Sci. China, Math. 65, No. 1, 169--202 (2022; Zbl 1481.65018) Full Text: DOI arXiv
Golse, François; Jin, Shi; Paul, Thierry The random batch method for \(N\)-body quantum dynamics. (English) Zbl 1499.82029 J. Comput. Math. 39, No. 6, 897-922 (2021). MSC: 82C10 82C22 65M75 35Q41 81V70 PDFBibTeX XMLCite \textit{F. Golse} et al., J. Comput. Math. 39, No. 6, 897--922 (2021; Zbl 1499.82029) Full Text: DOI arXiv
Chen, Peng; Haberman, Michael R.; Ghattas, Omar Optimal design of acoustic metamaterial cloaks under uncertainty. (English) Zbl 07511447 J. Comput. Phys. 431, Article ID 110114, 23 p. (2021). MSC: 35Qxx 65Cxx 49Mxx PDFBibTeX XMLCite \textit{P. Chen} et al., J. Comput. Phys. 431, Article ID 110114, 23 p. (2021; Zbl 07511447) Full Text: DOI arXiv
Wu, Fangfang; Wang, Kexin Lattice Boltzmann model for a class of third order partial differential equations with variable coefficients. (Chinese. English summary) Zbl 1488.65536 J. Jilin Univ., Sci. 59, No. 4, 763-768 (2021). MSC: 65M75 76M28 76P05 35Q20 35Q35 PDFBibTeX XMLCite \textit{F. Wu} and \textit{K. Wang}, J. Jilin Univ., Sci. 59, No. 4, 763--768 (2021; Zbl 1488.65536) Full Text: DOI
Jalaali, Bahrul; Nasution, Muhammad Ridlo Erdata; Yuana, Kumara Ari; Deendarlianto; Dinaryanto, Okto Investigating the effects of viscosity and density ratio on the numerical analysis of Rayleigh-Taylor instability in two-phase flow using lattice Boltzmann method: from early stage to equilibrium state. (English) Zbl 1510.76124 Appl. Math. Comput. 411, Article ID 126490, 16 p. (2021). MSC: 76M28 65M75 35Q20 PDFBibTeX XMLCite \textit{B. Jalaali} et al., Appl. Math. Comput. 411, Article ID 126490, 16 p. (2021; Zbl 1510.76124) Full Text: DOI
Bettencourt, Matthew T.; Brown, Dominic A. S.; Cartwright, Keith L.; Cyr, Eric C.; Glusa, Christian A.; Lin, Paul T.; Moore, Stan G.; Mcgregor, Duncan A. O.; Pawlowski, Roger P.; Phillips, Edward G.; Roberts, Nathan V.; Wright, Steven A.; Maheswaran, Satheesh; Jones, John P.; Jarvis, Stephen A. EMPIRE-PIC: a performance portable unstructured particle-in-cell code. (English) Zbl 1494.78004 Commun. Comput. Phys. 30, No. 4, 1232-1268 (2021). MSC: 78-04 78M10 78M20 78M99 78A25 78A30 78A35 78A60 65M60 65M06 65N30 65M75 65M25 65Y05 65Y10 76X05 76M28 35Q60 PDFBibTeX XMLCite \textit{M. T. Bettencourt} et al., Commun. Comput. Phys. 30, No. 4, 1232--1268 (2021; Zbl 1494.78004) Full Text: DOI
Zheng, Zhibao; Dai, Hongzhe Structural stochastic responses determination via a sample-based stochastic finite element method. (English) Zbl 1506.65233 Comput. Methods Appl. Mech. Eng. 381, Article ID 113824, 16 p. (2021). MSC: 65N30 35R60 65N75 PDFBibTeX XMLCite \textit{Z. Zheng} and \textit{H. Dai}, Comput. Methods Appl. Mech. Eng. 381, Article ID 113824, 16 p. (2021; Zbl 1506.65233) Full Text: DOI arXiv
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. (English) Zbl 1516.65125 SIAM/ASA J. Uncertain. Quantif. 9, 1184-1216 (2021). MSC: 65N30 65N50 65N15 65C20 65F08 65F10 35R60 PDFBibTeX XMLCite \textit{A. Bespalov} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1184--1216 (2021; Zbl 1516.65125) Full Text: DOI arXiv
Xie, Xinyuan; Zhao, Weifeng; Lin, Ping A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection-diffusion equations. (English) Zbl 1524.76312 Appl. Math. Lett. 122, Article ID 107536, 7 p. (2021). MSC: 76M28 65M75 76P05 76R50 35Q35 PDFBibTeX XMLCite \textit{X. Xie} et al., Appl. Math. Lett. 122, Article ID 107536, 7 p. (2021; Zbl 1524.76312) Full Text: DOI
Yuki, J. Quader; Sen, Ishan; Sakib, M. Mahfil Q.; Nag, Preetom; Molla, Md. Mamun Multiple-relaxation-time lattice Boltzmann simulation of magnetic field effect on natural convection of non-Newtonian nanofluid in rectangular enclosure. (English) Zbl 1488.65539 Adv. Appl. Math. Mech. 13, No. 5, 1142-1168 (2021). MSC: 65M75 76M28 76A05 76W05 76R10 76T20 82C40 65K10 35Q35 PDFBibTeX XMLCite \textit{J. Q. Yuki} et al., Adv. Appl. Math. Mech. 13, No. 5, 1142--1168 (2021; Zbl 1488.65539) Full Text: DOI
Milstein, G. N.; Tretyakov, M. V. Mean-square approximation of Navier-Stokes equations with additive noise in vorticity-velocity formulation. (English) Zbl 1488.65715 Numer. Math., Theory Methods Appl. 14, No. 1, 1-30 (2021). MSC: 65N75 60H15 60H35 76D05 35R60 35Q30 PDFBibTeX XMLCite \textit{G. N. Milstein} and \textit{M. V. Tretyakov}, Numer. Math., Theory Methods Appl. 14, No. 1, 1--30 (2021; Zbl 1488.65715) Full Text: DOI arXiv
Rodríguez-Rozas, Ángel; Acebrón, Juan A.; Spigler, Renato The PDD method for solving linear, nonlinear, and fractional PDEs problems. (English) Zbl 1498.65154 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 239-273 (2021). MSC: 65M55 65N55 65C05 65D05 65Y05 65M25 35K58 35Q83 35Q53 26A33 35R11 82D10 35R60 PDFBibTeX XMLCite \textit{Á. Rodríguez-Rozas} et al., SEMA SIMAI Springer Ser. 26, 239--273 (2021; Zbl 1498.65154) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. (English) Zbl 1486.65157 Appl. Numer. Math. 169, 44-63 (2021). MSC: 65M60 65M06 65N30 65M75 65M12 26A33 35R11 35R07 35R10 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 169, 44--63 (2021; Zbl 1486.65157) Full Text: DOI
Banjai, Lehel; Lord, Gabriel; Molla, Jeta Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. (English) Zbl 1471.60094 SIAM J. Numer. Anal. 59, No. 4, 1976-2003 (2021). Reviewer: Feng-Yu Wang (Swansea) MSC: 60H15 60H35 65C30 65C20 65M60 35L05 35L76 35R60 PDFBibTeX XMLCite \textit{L. Banjai} et al., SIAM J. Numer. Anal. 59, No. 4, 1976--2003 (2021; Zbl 1471.60094) Full Text: DOI arXiv
Youssef, Maha; Pulch, Roland Poly-Sinc solution of stochastic elliptic differential equations. (English) Zbl 1475.65207 J. Sci. Comput. 87, No. 3, Paper No. 82, 19 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 65N12 65N30 65C20 42C10 35R60 PDFBibTeX XMLCite \textit{M. Youssef} and \textit{R. Pulch}, J. Sci. Comput. 87, No. 3, Paper No. 82, 19 p. (2021; Zbl 1475.65207) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. (English) Zbl 1474.65340 Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021). MSC: 65M60 34A34 26A33 35R11 65M12 65M75 65M15 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021; Zbl 1474.65340) Full Text: DOI
Mirzaee, Farshid; Rezaei, Shadi; Samadyar, Nasrin Numerical solution of two-dimensional stochastic time-fractional Sine-Gordon equation on non-rectangular domains using finite difference and meshfree methods. (English) Zbl 1464.65150 Eng. Anal. Bound. Elem. 127, 53-63 (2021). MSC: 65M70 35R11 60H15 65D12 65M75 PDFBibTeX XMLCite \textit{F. Mirzaee} et al., Eng. Anal. Bound. Elem. 127, 53--63 (2021; Zbl 1464.65150) Full Text: DOI
Kirchhart, Matthias; Rieger, Christian Discrete projections: a step towards particle methods on bounded domains without remeshing. (English) Zbl 1467.65096 SIAM J. Sci. Comput. 43, No. 1, A609-A635 (2021). MSC: 65M75 65M25 65M12 65M15 65D07 65D32 76D05 35Q30 PDFBibTeX XMLCite \textit{M. Kirchhart} and \textit{C. Rieger}, SIAM J. Sci. Comput. 43, No. 1, A609--A635 (2021; Zbl 1467.65096) Full Text: DOI
Yang, Xue; Zhang, Jing Systems of reflected stochastic PDEs in a convex domain: analytical approach. (English) Zbl 1509.60122 J. Differ. Equations 284, 350-373 (2021). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 35R60 31B15 60J45 PDFBibTeX XMLCite \textit{X. Yang} and \textit{J. Zhang}, J. Differ. Equations 284, 350--373 (2021; Zbl 1509.60122) Full Text: DOI arXiv
Franz, Tino; Wendland, Holger An improved convergence result for the smoothed particle hydrodynamics method. (English) Zbl 1466.35294 SIAM J. Math. Anal. 53, No. 2, 1239-1262 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 65M75 65M15 76M28 PDFBibTeX XMLCite \textit{T. Franz} and \textit{H. Wendland}, SIAM J. Math. Anal. 53, No. 2, 1239--1262 (2021; Zbl 1466.35294) Full Text: DOI
Du, Rui; Wang, Yibo Lattice BGK model for time-fractional incompressible Navier-Stokes equations. (English) Zbl 1457.65153 Appl. Math. Lett. 114, Article ID 106911, 9 p. (2021). MSC: 65M75 76M28 76D05 76P05 35R11 35Q20 35Q35 PDFBibTeX XMLCite \textit{R. Du} and \textit{Y. Wang}, Appl. Math. Lett. 114, Article ID 106911, 9 p. (2021; Zbl 1457.65153) Full Text: DOI
Singh, Peeyush; Sinha, Prawal Interior-exterior penalty approach for solving elasto-hydrodynamic lubrication problem. I. (English) Zbl 1477.58010 Int. J. Numer. Anal. Model. 17, No. 5, 695-731 (2020). MSC: 58E35 65C20 65N30 35J65 45K05 68N30 PDFBibTeX XMLCite \textit{P. Singh} and \textit{P. Sinha}, Int. J. Numer. Anal. Model. 17, No. 5, 695--731 (2020; Zbl 1477.58010) Full Text: Link
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. (English) Zbl 1472.65157 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20190630, 25 p. (2020). MSC: 65N75 35K58 65C05 PDFBibTeX XMLCite \textit{M. Hutzenthaler} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20190630, 25 p. (2020; Zbl 1472.65157) Full Text: DOI arXiv Link
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. (English) Zbl 1471.65137 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849-1882 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 65M60 35L03 35Q40 35Q49 60H35 65D32 65L06 65M12 65M75 65M70 81Q20 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1849--1882 (2020; Zbl 1471.65137) Full Text: DOI arXiv
Wang, Huimin; Liu, Yanhong Numerical simulation of ion-acoustic wave in quantum plasmas based on lattice Boltzmann method. (Chinese. English summary) Zbl 1474.65404 J. Jilin Univ., Sci. 58, No. 6, 1334-1338 (2020). MSC: 65M75 76M28 35Q35 76Q05 76Y05 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Liu}, J. Jilin Univ., Sci. 58, No. 6, 1334--1338 (2020; Zbl 1474.65404) Full Text: DOI
Ambartsumyan, Ilona; Khattatov, Eldar; Wang, ChangQing; Yotov, Ivan Stochastic multiscale flux basis for Stokes-Darcy flows. (English) Zbl 1453.76177 J. Comput. Phys. 401, Article ID 109011, 20 p. (2020). MSC: 76M35 76M10 76S05 35R60 65C30 65N30 65N35 65N75 76D07 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., J. Comput. Phys. 401, Article ID 109011, 20 p. (2020; Zbl 1453.76177) Full Text: DOI arXiv
Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi Reduced order isogeometric analysis approach for PDEs in parametrized domains. (English) Zbl 1455.62227 D’Elia, Marta (ed.) et al., Quantification of uncertainty: improving efficiency and technology. QUIET. Selected contributions based on the presentations at the international workshop, Trieste, Italy, July 18–21, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 137, 153-170 (2020). MSC: 62P35 62-08 65M75 35K05 PDFBibTeX XMLCite \textit{F. Garotta} et al., Lect. Notes Comput. Sci. Eng. 137, 153--170 (2020; Zbl 1455.62227) Full Text: DOI arXiv
Liang, Hong; Zhang, Chunhua; Du, Rui; Wei, Yikun Lattice Boltzmann method for fractional Cahn-Hilliard equation. (English) Zbl 1455.65201 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105443, 13 p. (2020). MSC: 65M75 65M12 76-10 35R11 76M28 76S05 35Q35 PDFBibTeX XMLCite \textit{H. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105443, 13 p. (2020; Zbl 1455.65201) Full Text: DOI
Zhao, Jin; Zhang, Zhimin; Yong, Wen-An Vector-type boundary schemes for the lattice Boltzmann method based on vector-BGK models. (English) Zbl 1453.35135 SIAM J. Sci. Comput. 42, No. 5, B1250-B1270 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q20 76M28 65M75 76P05 76D05 PDFBibTeX XMLCite \textit{J. Zhao} et al., SIAM J. Sci. Comput. 42, No. 5, B1250--B1270 (2020; Zbl 1453.35135) Full Text: DOI
You, Xiangyu; Chai, Yingbin; Li, Wei Edged-based smoothed point interpolation method for acoustic radiation with perfectly matched layer. (English) Zbl 1452.65387 Comput. Math. Appl. 80, No. 6, 1596-1618 (2020). MSC: 65N75 35J05 76Q05 PDFBibTeX XMLCite \textit{X. You} et al., Comput. Math. Appl. 80, No. 6, 1596--1618 (2020; Zbl 1452.65387) Full Text: DOI
Liu, Wei; Duan, Huoyuan A virtual element method for stochastic Stokes equations. (English) Zbl 1443.65358 Comput. Math. Appl. 79, No. 6, 1813-1832 (2020). MSC: 65N30 65N75 76D07 76M35 35R60 60H15 PDFBibTeX XMLCite \textit{W. Liu} and \textit{H. Duan}, Comput. Math. Appl. 79, No. 6, 1813--1832 (2020; Zbl 1443.65358) Full Text: DOI
Helluy, Philippe; Hurisse, Olivier; Quibel, Lucie Simulation of a liquid-vapour compressible flow by a lattice Boltzmann method. (English) Zbl 1454.65128 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 665-673 (2020). MSC: 65M75 76M28 76T30 76N99 80A19 35Q79 35Q35 PDFBibTeX XMLCite \textit{P. Helluy} et al., Springer Proc. Math. Stat. 323, 665--673 (2020; Zbl 1454.65128) Full Text: DOI HAL
Karpowicz, Adrian; Leszczyński, Henryk Method of lines for a kinetic equation of swarm formation. (English) Zbl 1494.65090 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 251-261 (2020). MSC: 65M75 92D50 35B44 35Q20 PDFBibTeX XMLCite \textit{A. Karpowicz} and \textit{H. Leszczyński}, Springer Proc. Math. Stat. 325, 251--261 (2020; Zbl 1494.65090) Full Text: DOI
Crestetto, Anaïs; Klingenberg, Christian; Pirner, Marlies Kinetic/fluid micro-macro numerical scheme for a two component gas mixture. (English) Zbl 1446.65137 Multiscale Model. Simul. 18, No. 2, 970-998 (2020). MSC: 65M75 82C40 82D10 35B40 76M28 76T06 76P05 35Q20 65M70 PDFBibTeX XMLCite \textit{A. Crestetto} et al., Multiscale Model. Simul. 18, No. 2, 970--998 (2020; Zbl 1446.65137) Full Text: DOI arXiv
Leclerc, Hugo; Mérigot, Quentin; Santambrogio, Filippo; Stra, Federico Lagrangian discretization of crowd motion and linear diffusion. (English) Zbl 1456.65137 SIAM J. Numer. Anal. 58, No. 4, 2093-2118 (2020). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M75 65K10 49M15 49Q22 76A30 90B20 35Q49 PDFBibTeX XMLCite \textit{H. Leclerc} et al., SIAM J. Numer. Anal. 58, No. 4, 2093--2118 (2020; Zbl 1456.65137) Full Text: DOI arXiv
Li, Ting; Yan, Guangwu Lattice Boltzmann method for Ross-Macdonald system with drift property. (Chinese. English summary) Zbl 1449.65285 J. Jilin Univ., Sci. 58, No. 1, 41-46 (2020). MSC: 65M75 92C60 35Q92 PDFBibTeX XMLCite \textit{T. Li} and \textit{G. Yan}, J. Jilin Univ., Sci. 58, No. 1, 41--46 (2020; Zbl 1449.65285) Full Text: DOI
Samadyar, Nasrin; Ordokhani, Yadollah; Mirzaee, Farshid The couple of Hermite-based approach and Crank-Nicolson scheme to approximate the solution of two dimensional stochastic diffusion-wave equation of fractional order. (English) Zbl 1464.65091 Eng. Anal. Bound. Elem. 118, 285-294 (2020). MSC: 65M06 35R11 60H15 65M75 PDFBibTeX XMLCite \textit{N. Samadyar} et al., Eng. Anal. Bound. Elem. 118, 285--294 (2020; Zbl 1464.65091) Full Text: DOI
Ren, Jincheng; Huang, Chaobao; An, Na Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution. (English) Zbl 1447.65107 Appl. Math. Lett. 102, Article ID 106111, 8 p. (2020). Reviewer: Bangti Jin (London) MSC: 65M75 35R11 26A33 65M15 65H10 PDFBibTeX XMLCite \textit{J. Ren} et al., Appl. Math. Lett. 102, Article ID 106111, 8 p. (2020; Zbl 1447.65107) Full Text: DOI
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. (English) Zbl 1447.65105 SIAM J. Sci. Comput. 42, No. 2, B520-B547 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M75 65M20 45K05 65L06 65D05 76X05 35Q83 35Q60 35R09 PDFBibTeX XMLCite \textit{P. Chartier} et al., SIAM J. Sci. Comput. 42, No. 2, B520--B547 (2020; Zbl 1447.65105) Full Text: DOI arXiv
Elman, Howard C.; Su, Tengfei A low-rank solver for the stochastic unsteady Navier-Stokes problem. (English) Zbl 1442.76065 Comput. Methods Appl. Mech. Eng. 364, Article ID 112948, 19 p. (2020). MSC: 76M10 65M60 35R60 60H35 65F10 65M75 76D06 76M35 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{T. Su}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112948, 19 p. (2020; Zbl 1442.76065) Full Text: DOI arXiv
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. (English) Zbl 1464.65124 IMA J. Numer. Anal. 40, No. 2, 1094-1121 (2020). MSC: 65M60 65M75 65M15 65L06 60H35 35R60 PDFBibTeX XMLCite \textit{F. Meyer} et al., IMA J. Numer. Anal. 40, No. 2, 1094--1121 (2020; Zbl 1464.65124) Full Text: DOI arXiv
Leszczyński, Henryk; Wrzosek, Monika Newton’s method for nonlinear stochastic wave equations. (English) Zbl 1434.60161 Forum Math. 32, No. 3, 595-605 (2020). MSC: 60H15 35R60 35R10 65C30 PDFBibTeX XMLCite \textit{H. Leszczyński} and \textit{M. Wrzosek}, Forum Math. 32, No. 3, 595--605 (2020; Zbl 1434.60161) Full Text: DOI
He, Yubo; Lin, Xiaoyan Numerical analysis and simulations for coupled nonlinear Schrödinger equations based on lattice Boltzmann method. (English) Zbl 1439.65128 Appl. Math. Lett. 106, Article ID 106391, 6 p. (2020). MSC: 65M75 76M28 35Q55 35Q41 35Q20 78A60 PDFBibTeX XMLCite \textit{Y. He} and \textit{X. Lin}, Appl. Math. Lett. 106, Article ID 106391, 6 p. (2020; Zbl 1439.65128) Full Text: DOI
Zhao, Yong; Wu, Yao; Chai, Zhenhua; Shi, Baochang A block triple-relaxation-time lattice Boltzmann model for nonlinear anisotropic convection-diffusion equations. (English) Zbl 1437.65222 Comput. Math. Appl. 79, No. 9, 2550-2573 (2020). MSC: 65N75 76M28 35Q20 76P05 76R50 35Q35 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Comput. Math. Appl. 79, No. 9, 2550--2573 (2020; Zbl 1437.65222) Full Text: DOI arXiv
Ren, Bo; Wu, C. T.; Lyu, Dandan An \(h\)-adaptive meshfree-enriched finite element method based on convex approximations for the three-dimensional ductile crack propagation simulation. (English) Zbl 1440.65153 Comput. Aided Geom. Des. 76, Article ID 101795, 15 p. (2020). MSC: 65M75 65M60 65M06 65M50 74S05 74R10 35Q74 PDFBibTeX XMLCite \textit{B. Ren} et al., Comput. Aided Geom. Des. 76, Article ID 101795, 15 p. (2020; Zbl 1440.65153) Full Text: DOI
Gandolfi, Alberto; Iannelli, Mimmo; Marinoschi, Gabriela The basal layer of the epidermis: a mathematical model for cell production under a surface density constraint. (English) Zbl 1475.35353 SIAM J. Appl. Math. 80, No. 1, 543-571 (2020). MSC: 35Q92 35L03 35L40 65C20 65M12 65M25 92B05 92C37 92D25 PDFBibTeX XMLCite \textit{A. Gandolfi} et al., SIAM J. Appl. Math. 80, No. 1, 543--571 (2020; Zbl 1475.35353) 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
Compaan, E. A note on global existence for the Zakharov system on \( \mathbb{T} \). (English) Zbl 1483.35204 Commun. Pure Appl. Anal. 18, No. 5, 2473-2489 (2019). MSC: 35Q55 35Q40 35B65 35A01 35A02 37K15 PDFBibTeX XMLCite \textit{E. Compaan}, Commun. Pure Appl. Anal. 18, No. 5, 2473--2489 (2019; Zbl 1483.35204) Full Text: DOI arXiv
Pollack, Martin; Pütz, Michele; Marchisio, Daniele L.; Oevermann, Michael; Hasse, Christian Zero-flux approximations for multivariate quadrature-based moment methods. (English) Zbl 1453.65374 J. Comput. Phys. 398, Article ID 108879, 24 p. (2019). MSC: 65M75 35Q82 PDFBibTeX XMLCite \textit{M. Pollack} et al., J. Comput. Phys. 398, Article ID 108879, 24 p. (2019; Zbl 1453.65374) Full Text: DOI
Hsu, Shih-Hsuan; Chu, Jay; Lai, Ming-Chih; Tsai, Richard A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. (English) Zbl 1452.76174 J. Comput. Phys. 395, 747-764 (2019). MSC: 76M28 76D45 65M75 76T06 35R01 PDFBibTeX XMLCite \textit{S.-H. Hsu} et al., J. Comput. Phys. 395, 747--764 (2019; Zbl 1452.76174) Full Text: DOI
Hammer, Hans; Park, HyeongKae; Chacón, Luis A multi-dimensional, moment-accelerated deterministic particle method for time-dependent, multi-frequency thermal radiative transfer problems. (English) Zbl 1452.65287 J. Comput. Phys. 386, 653-674 (2019). MSC: 65M75 35R09 65Z05 80A21 35Q79 PDFBibTeX XMLCite \textit{H. Hammer} et al., J. Comput. Phys. 386, 653--674 (2019; Zbl 1452.65287) Full Text: DOI arXiv
Cheng, Ming; Narayan, Akil; Qin, Yi; Wang, Peng; Zhong, Xinghui; Zhu, Xueyu An efficient solver for cumulative density function-based solutions of uncertain kinematic wave models. (English) Zbl 1451.65105 J. Comput. Phys. 382, 138-151 (2019). MSC: 65M06 65L06 86A04 86-08 35R60 PDFBibTeX XMLCite \textit{M. Cheng} et al., J. Comput. Phys. 382, 138--151 (2019; Zbl 1451.65105) Full Text: DOI arXiv
Petras, A.; Ling, L.; Piret, C.; Ruuth, S. J. A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. (English) Zbl 1451.65110 J. Comput. Phys. 381, 146-161 (2019). MSC: 65M06 35R01 65M75 76R50 76R10 35K05 PDFBibTeX XMLCite \textit{A. Petras} et al., J. Comput. Phys. 381, 146--161 (2019; Zbl 1451.65110) Full Text: DOI arXiv
Pazner, W.; Trask, N.; Atzberger, P. J. Stochastic discontinuous Galerkin methods (SDGM) based on fluctuation-dissipation balance. (English) Zbl 1452.65290 Results Appl. Math. 4, Article ID 100068, 17 p. (2019). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 65M60 35R60 65C30 PDFBibTeX XMLCite \textit{W. Pazner} et al., Results Appl. Math. 4, Article ID 100068, 17 p. (2019; Zbl 1452.65290) Full Text: DOI arXiv
Mukam, Jean Daniel; Tambue, Antoine Optimal strong convergence rates of numerical methods for semilinear parabolic SPDE driven by Gaussian noise and Poisson random measure. (English) Zbl 1442.65310 Comput. Math. Appl. 77, No. 10, 2786-2803 (2019). MSC: 65M75 35R60 60H15 65M60 PDFBibTeX XMLCite \textit{J. D. Mukam} and \textit{A. Tambue}, Comput. Math. Appl. 77, No. 10, 2786--2803 (2019; Zbl 1442.65310) Full Text: DOI arXiv
Xu, Kang; Ren, Hengfei; Ren, Jinlian; Jiang, Tao Application of pure mesh-free parallel computation in numerical simulation of heat transfer equation. (Chinese. English summary) Zbl 1463.80008 J. Jilin Univ., Sci. 57, No. 6, 1372-1378 (2019). MSC: 80M99 65Y05 80A19 65N75 35K05 PDFBibTeX XMLCite \textit{K. Xu} et al., J. Jilin Univ., Sci. 57, No. 6, 1372--1378 (2019; Zbl 1463.80008) Full Text: DOI
Jiang, Nan; Qiu, Changxin An efficient ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations. (English) Zbl 1440.76072 Comput. Methods Appl. Mech. Eng. 343, 249-275 (2019). MSC: 76M10 65M60 35Q35 35R60 65M75 76M35 76S05 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{C. Qiu}, Comput. Methods Appl. Mech. Eng. 343, 249--275 (2019; Zbl 1440.76072) Full Text: DOI
Corre, S.; Belmiloudi, A. Coupled lattice Boltzmann simulation method for bidomain type models in cardiac electrophysiology with multiple time-delays. (English) Zbl 1433.35418 Math. Model. Nat. Phenom. 14, No. 2, Paper No. 207, 27 p. (2019). MSC: 35Q92 35Q20 35K57 65M75 92C50 92C37 78A57 34B60 PDFBibTeX XMLCite \textit{S. Corre} and \textit{A. Belmiloudi}, Math. Model. Nat. Phenom. 14, No. 2, Paper No. 207, 27 p. (2019; Zbl 1433.35418) Full Text: DOI
Zhang, Jianying; Yan, Guangwu Lattice Boltzmann simulations for Turing pattern on sphere. (Chinese. English summary) Zbl 1449.65286 J. Jilin Univ., Sci. 57, No. 2, 295-299 (2019). MSC: 65M75 35B36 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{G. Yan}, J. Jilin Univ., Sci. 57, No. 2, 295--299 (2019; Zbl 1449.65286) Full Text: DOI
Liu, Yanhong; Yan, Guangwu Lattice Boltzmann simulation of some electromagnetic wave propagation problems. (Chinese. English summary) Zbl 1463.78010 J. Jilin Univ., Sci. 57, No. 2, 271-276 (2019). MSC: 78M99 65M75 78A40 35Q60 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{G. Yan}, J. Jilin Univ., Sci. 57, No. 2, 271--276 (2019; Zbl 1463.78010) Full Text: DOI
Tambue, Antoine; Mukam, Jean Daniel Strong convergence of the linear implicit Euler method for the finite element discretization of semilinear SPDEs driven by multiplicative or additive noise. (English) Zbl 1429.65260 Appl. Math. Comput. 346, 23-40 (2019). MSC: 65M75 35R60 60H15 60H35 PDFBibTeX XMLCite \textit{A. Tambue} and \textit{J. D. Mukam}, Appl. Math. Comput. 346, 23--40 (2019; Zbl 1429.65260) Full Text: DOI arXiv
Mohammed, Mogtaba Homogenization and correctors for linear stochastic equations via the periodic unfolding methods. (English) Zbl 1423.60105 Stoch. Dyn. 19, No. 5, Article ID 1950040, 26 p. (2019). MSC: 60H15 80M35 80M40 35L70 PDFBibTeX XMLCite \textit{M. Mohammed}, Stoch. Dyn. 19, No. 5, Article ID 1950040, 26 p. (2019; Zbl 1423.60105) Full Text: DOI
Beck, Christian; E, Weinan; Jentzen, Arnulf Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. (English) Zbl 1442.91116 J. Nonlinear Sci. 29, No. 4, 1563-1619 (2019). MSC: 91G60 65M75 91G20 60H15 35Q91 PDFBibTeX XMLCite \textit{C. Beck} et al., J. Nonlinear Sci. 29, No. 4, 1563--1619 (2019; Zbl 1442.91116) Full Text: DOI arXiv
Carrillo, José Antonio; Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna K. The escalator boxcar train method for a system of age-structured equations in the space of measures. (English) Zbl 1426.65150 SIAM J. Numer. Anal. 57, No. 4, 1842-1874 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 92D25 35R06 45K05 35R09 65M12 92D25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Numer. Anal. 57, No. 4, 1842--1874 (2019; Zbl 1426.65150) Full Text: DOI arXiv