De Ryck, Tim; Mishra, Siddhartha; Molinaro, Roberto wPINNs: weak physics informed neural networks for approximating entropy solutions of hyperbolic conservation laws. (English) Zbl 07821074 SIAM J. Numer. Anal. 62, No. 2, 811-841 (2024). MSC: 65M99 68T07 49J35 65M15 35D30 35B44 35B65 76P05 76L05 35R30 35Q53 35Q35 PDFBibTeX XMLCite \textit{T. De Ryck} et al., SIAM J. Numer. Anal. 62, No. 2, 811--841 (2024; Zbl 07821074) Full Text: DOI arXiv
Christiansen, Thomas; Grunert, Katrin; Nordli, Anders; Solem, Susanne A convergent numerical algorithm for \(\alpha\)-dissipative solutions of the Hunter-Saxton equation. (English) Zbl 07818679 J. Sci. Comput. 99, No. 1, Paper No. 14, 42 p. (2024). MSC: 65M06 65N06 65M25 65M12 35D30 76A15 35R09 35Q35 PDFBibTeX XMLCite \textit{T. Christiansen} et al., J. Sci. Comput. 99, No. 1, Paper No. 14, 42 p. (2024; Zbl 07818679) Full Text: DOI arXiv OA License
Ning, Cui; Kou, Xiaomin; Wang, Yaohong Low-regularity integrator for the Davey-Stewartson II system. (English) Zbl 07812564 J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024). MSC: 65M70 65N35 65M22 65M12 35B65 35Q55 PDFBibTeX XMLCite \textit{C. Ning} et al., J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024; Zbl 07812564) Full Text: DOI
Parczewski, Peter Optimal pointwise approximation of anticipating SDEs. (English) Zbl 07807488 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1730-1743 (2024). MSC: 60H07 65C30 60H10 PDFBibTeX XMLCite \textit{P. Parczewski}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1730--1743 (2024; Zbl 07807488) Full Text: DOI arXiv
Aggarwal, Aekta; Holden, Helge; Vaidya, Ganesh On the accuracy of the finite volume approximations to nonlocal conservation laws. (English) Zbl 07802487 Numer. Math. 156, No. 1, 237-271 (2024). MSC: 65L12 35L65 65M25 35D30 65M12 65M15 PDFBibTeX XMLCite \textit{A. Aggarwal} et al., Numer. Math. 156, No. 1, 237--271 (2024; Zbl 07802487) Full Text: DOI arXiv OA License
Zhang, Qifeng; Zhang, Jiyuan; Zhang, Zhimin Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy. (English) Zbl 07795705 Calcolo 61, No. 1, Paper No. 9, 39 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35B06 76U60 76B15 86A05 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Calcolo 61, No. 1, Paper No. 9, 39 p. (2024; Zbl 07795705) Full Text: DOI arXiv
Wang, Yibo; Cao, Wanrong Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation. (English) Zbl 1526.65048 J. Comput. Appl. Math. 437, Article ID 115459, 26 p. (2024). MSC: 65M60 65M06 65N30 65M70 65N35 65M12 65M15 65C30 60H35 60H15 60H40 35R60 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Cao}, J. Comput. Appl. Math. 437, Article ID 115459, 26 p. (2024; Zbl 1526.65048) Full Text: DOI
Pan, Shihang Lipschitz metric for the modified coupled Camassa-Holm system. (English) Zbl 07815978 Math. Methods Appl. Sci. 46, No. 17, 17839-17861 (2023). MSC: 65M06 65M12 35B10 35Q53 PDFBibTeX XMLCite \textit{S. Pan}, Math. Methods Appl. Sci. 46, No. 17, 17839--17861 (2023; Zbl 07815978) Full Text: DOI
Friedrich, Jan; Sudha, Sanjibanee; Rathan, Samala Numerical schemes for a class of nonlocal conservation laws: a general approach. (English) Zbl 07798661 Netw. Heterog. Media 18, No. 3, 1335-1354 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65N08 90B20 35D30 35L65 35A01 35A02 PDFBibTeX XMLCite \textit{J. Friedrich} et al., Netw. Heterog. Media 18, No. 3, 1335--1354 (2023; Zbl 07798661) Full Text: DOI arXiv
Herty, Michael; Kolbe, Niklas; Müller, Siegfried Central schemes for networked scalar conservation laws. (English) Zbl 07798635 Netw. Heterog. Media 18, No. 1, 310-340 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35L65 90B20 76T06 PDFBibTeX XMLCite \textit{M. Herty} et al., Netw. Heterog. Media 18, No. 1, 310--340 (2023; Zbl 07798635) Full Text: DOI arXiv
Bürger, Raimund; Diehl, Stefan; Martí, M. Carmen; Vásquez, Yolanda A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. (English) Zbl 07798629 Netw. Heterog. Media 18, No. 1, 140-190 (2023). MSC: 65Mxx 35L45 35L60 35L65 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 18, No. 1, 140--190 (2023; Zbl 07798629) Full Text: DOI
Gowda, G. D. Veerappa; Kenettinkara, Sudarshan Kumar; Manoj, Nikhil Convergence of a second-order scheme for non-local conservation laws. (English) Zbl 07792492 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439-3481 (2023). MSC: 65M12 35L65 76A30 65M08 PDFBibTeX XMLCite \textit{G. D. V. Gowda} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3439--3481 (2023; Zbl 07792492) Full Text: DOI
Staritsyn, Maksim Vladimirovich; Pogodaev, Nikolaĭ Il’ich; Goncharova, Elena Vladimirovna Pontryagin’s maximum principle and indirect descent method for optimal impulsive control of nonlocal transport equation. (Russian. English summary) Zbl 07792280 Izv. Irkutsk. Gos. Univ., Ser. Mat. 46, 66-84 (2023). MSC: 49N25 65K05 49K15 49Q20 49J27 PDFBibTeX XMLCite \textit{M. V. Staritsyn} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 46, 66--84 (2023; Zbl 07792280) Full Text: DOI Link
Bürger, Raimund; Careaga, Julio; Diehl, Stefan; Pineda, Romel Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors. (English) Zbl 07787601 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2931-2976 (2023). MSC: 65M06 65N06 65L12 65H10 76V05 76S05 35K57 35Q35 35R37 PDFBibTeX XMLCite \textit{R. Bürger} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2931--2976 (2023; Zbl 07787601) Full Text: DOI arXiv
Bozorgnia, Farid; Seyed Allaei, Sonia Numerical approximations of chromatographic models. (English) Zbl 07776944 Numer. Methods Partial Differ. Equations 39, No. 2, 913-922 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Bozorgnia} and \textit{S. Seyed Allaei}, Numer. Methods Partial Differ. Equations 39, No. 2, 913--922 (2023; Zbl 07776944) Full Text: DOI arXiv
Medvedev, Georgi S.; Simpson, Gideon A numerical method for a nonlocal diffusion equation with additive noise. (English) Zbl 1527.65006 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 4, 1433-1469 (2023). MSC: 65C30 60H15 60H35 34C15 PDFBibTeX XMLCite \textit{G. S. Medvedev} and \textit{G. Simpson}, Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 4, 1433--1469 (2023; Zbl 1527.65006) Full Text: DOI arXiv
Acosta, Claudia; Jerez, Silvia Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term. (English) Zbl 07737663 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1445-1472 (2023). MSC: 65-XX 35K65 65M12 65M06 PDFBibTeX XMLCite \textit{C. Acosta} and \textit{S. Jerez}, ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1445--1472 (2023; Zbl 07737663) Full Text: DOI
Chiarello, F. A.; Contreras, H. D.; Villada, L. M. Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux. (English) Zbl 1521.35115 J. Eng. Math. 141, Paper No. 9, 30 p. (2023). MSC: 35L65 35D30 65M12 90B20 PDFBibTeX XMLCite \textit{F. A. Chiarello} et al., J. Eng. Math. 141, Paper No. 9, 30 p. (2023; Zbl 1521.35115) Full Text: DOI arXiv
Zagour, M. Modeling and numerical simulations of multilane vehicular traffic by active particles methods. (English) Zbl 1516.35299 Math. Models Methods Appl. Sci. 33, No. 5, 1119-1146 (2023). MSC: 35Q20 35L65 65M08 PDFBibTeX XMLCite \textit{M. Zagour}, Math. Models Methods Appl. Sci. 33, No. 5, 1119--1146 (2023; Zbl 1516.35299) Full Text: DOI
Bailo, Rafael; Carrillo, José A.; Hu, Jingwei Bound-preserving finite-volume schemes for systems of continuity equations with saturation. (English) Zbl 1519.65026 SIAM J. Appl. Math. 83, No. 3, 1315-1339 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 92D25 35Q92 45K05 35R09 35B09 PDFBibTeX XMLCite \textit{R. Bailo} et al., SIAM J. Appl. Math. 83, No. 3, 1315--1339 (2023; Zbl 1519.65026) Full Text: DOI arXiv
Li, Bing; Wu, Yifei; Zhao, Xiaofei Gauge-transformed exponential integrator for generalized KdV equations with rough data. (English) Zbl 07713540 SIAM J. Numer. Anal. 61, No. 4, 1689-1715 (2023). MSC: 65Mxx 65L05 65L20 65L70 65M12 65M15 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 61, No. 4, 1689--1715 (2023; Zbl 07713540) Full Text: DOI
Gong, Yuezheng; Hong, Qi; Wang, Chunwu; Wang, Yushun Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation based on the quadratic auxiliary variable approach. (English) Zbl 1524.65650 Adv. Appl. Math. Mech. 15, No. 5, 1233-1255 (2023). MSC: 65M70 65M06 65L06 65P10 65N35 PDFBibTeX XMLCite \textit{Y. Gong} et al., Adv. Appl. Math. Mech. 15, No. 5, 1233--1255 (2023; Zbl 1524.65650) Full Text: DOI
Yang, Kai High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain. (English) Zbl 07708336 J. Sci. Comput. 96, No. 2, Paper No. 35, 27 p. (2023). MSC: 35Q53 35L65 65M70 65M06 65L06 65N35 44A15 PDFBibTeX XMLCite \textit{K. Yang}, J. Sci. Comput. 96, No. 2, Paper No. 35, 27 p. (2023; Zbl 07708336) Full Text: DOI arXiv
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R. Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. (English) Zbl 07700760 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1319-1346 (2023). MSC: 65-XX 35K15 35K65 35D30 35R09 35R11 65M06 65M12 76S05 PDFBibTeX XMLCite \textit{F. del Teso} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1319--1346 (2023; Zbl 07700760) Full Text: DOI arXiv
Zhai, Shuying; Weng, Zhifeng; Zhuang, Qingqu; Liu, Fawang; Vo Anh An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model. (English) Zbl 07700220 J. Comput. Appl. Math. 425, Article ID 114959, 14 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{S. Zhai} et al., J. Comput. Appl. Math. 425, Article ID 114959, 14 p. (2023; Zbl 07700220) Full Text: DOI
Kerkhoff, Xenia; May, Sandra Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation. (English) Zbl 1516.49030 Math. Control Relat. Fields 13, No. 1, 193-214 (2023). MSC: 49M41 65M60 PDFBibTeX XMLCite \textit{X. Kerkhoff} and \textit{S. May}, Math. Control Relat. Fields 13, No. 1, 193--214 (2023; Zbl 1516.49030) Full Text: DOI
Karta, Melike Numerical solution for Benjamin-Bona-Mahony-Burgers equation with strang time-splitting technique. (English) Zbl 1509.65009 Turk. J. Math. 47, No. 2, 537-553 (2023). MSC: 65D07 65L60 PDFBibTeX XMLCite \textit{M. Karta}, Turk. J. Math. 47, No. 2, 537--553 (2023; Zbl 1509.65009) Full Text: DOI
Chen, Ziang; Lu, Jianfeng; Lu, Yulong; Zhou, Shengxuan A regularity theory for static Schrödinger equations on \(\mathbb{R}^d\) in spectral barron spaces. (English) Zbl 07674170 SIAM J. Math. Anal. 55, No. 1, 557-570 (2023). MSC: 68T07 65N99 35Q40 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Math. Anal. 55, No. 1, 557--570 (2023; Zbl 07674170) Full Text: DOI arXiv
Kaur, Anurag; Kanwar, V.; Ramos, Higinio An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter-Saxton equation. (English) Zbl 1519.65045 J. Math. Chem. 61, No. 4, 761-776 (2023). Reviewer: Wenlin Qiu (Changsha) MSC: 65M70 65L04 65N35 65D07 65D32 65N12 35K59 35F50 76A15 35Q35 PDFBibTeX XMLCite \textit{A. Kaur} et al., J. Math. Chem. 61, No. 4, 761--776 (2023; Zbl 1519.65045) Full Text: DOI
Karta, Melike A new application for numerical computations of the modified equal width equation (MEW) based on lumped Galerkin method with the cubic B-spline. (English) Zbl 1524.74180 Comput. Methods Differ. Equ. 11, No. 1, 95-107 (2023). MSC: 74J05 33F05 65D07 PDFBibTeX XMLCite \textit{M. Karta}, Comput. Methods Differ. Equ. 11, No. 1, 95--107 (2023; Zbl 1524.74180) Full Text: DOI
Hu, Junpeng; Jin, Shi; Li, Jinglai; Zhang, Lei On multilevel Monte Carlo methods for deterministic and uncertain hyperbolic systems. (English) Zbl 07649268 J. Comput. Phys. 475, Article ID 111847, 30 p. (2023). MSC: 65C05 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Comput. Phys. 475, Article ID 111847, 30 p. (2023; Zbl 07649268) Full Text: DOI arXiv
Zhang, Jiahui; Xia, Yinhua; Xu, Yan Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations. (English) Zbl 07625425 J. Comput. Phys. 473, Article ID 111758, 31 p. (2023). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Comput. Phys. 473, Article ID 111758, 31 p. (2023; Zbl 07625425) Full Text: DOI arXiv
Ebata, Takanori; Ohwa, Hiroki Stability of solutions constructed by the wave front tracking method for conservation laws. (English) Zbl 07614818 Nonlinear Anal., Real World Appl. 69, Article ID 103717, 16 p. (2023). MSC: 65-XX 35Lxx 65Mxx 35Bxx PDFBibTeX XMLCite \textit{T. Ebata} and \textit{H. Ohwa}, Nonlinear Anal., Real World Appl. 69, Article ID 103717, 16 p. (2023; Zbl 07614818) Full Text: DOI
Lu, Jinyang; Xu, Yan; Zhang, Chao Error estimates of the local discontinuous Galerkin methods for two-dimensional \((\mu)\)-Camassa-Holm equations. (English) Zbl 1500.65065 J. Comput. Appl. Math. 420, Article ID 114722, 29 p. (2023). MSC: 65M60 65L06 65N30 76B15 35Q35 PDFBibTeX XMLCite \textit{J. Lu} et al., J. Comput. Appl. Math. 420, Article ID 114722, 29 p. (2023; Zbl 1500.65065) Full Text: DOI
Francesco, Marco Di; Stivaletta, Graziano The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws. (English) Zbl 1517.35130 J. Hyperbolic Differ. Equ. 19, No. 4, 775-807 (2022). MSC: 35L03 35L65 35A24 35A35 35Q70 65N75 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{G. Stivaletta}, J. Hyperbolic Differ. Equ. 19, No. 4, 775--807 (2022; Zbl 1517.35130) Full Text: DOI arXiv
Akyildiz, Ömer Deniz; Duffin, Connor; Sabanis, Sotirios; Girolami, Mark Statistical finite elements via Langevin dynamics. (English) Zbl 1506.65006 SIAM/ASA J. Uncertain. Quantif. 10, 1560-1585 (2022). MSC: 65C05 60H15 65N30 35R30 PDFBibTeX XMLCite \textit{Ö. D. Akyildiz} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1560--1585 (2022; Zbl 1506.65006) Full Text: DOI arXiv
Weissen, Jennifer; Kolb, Oliver; Göttlich, Simone A combined first and second order model for a junction with ramp buffer. (English) Zbl 1507.65151 SMAI J. Comput. Math. 8, 349-374 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 90B20 49K20 49M41 35L65 35Q90 PDFBibTeX XMLCite \textit{J. Weissen} et al., SMAI J. Comput. Math. 8, 349--374 (2022; Zbl 1507.65151) Full Text: DOI arXiv
Mazloum, Jalil; Hadian Siahkal-Mahalle, Behrang A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising. (English) Zbl 07636102 Adv. Contin. Discrete Models 2022, Paper No. 56, 19 p. (2022). MSC: 65M30 65M06 65M55 PDFBibTeX XMLCite \textit{J. Mazloum} and \textit{B. Hadian Siahkal-Mahalle}, Adv. Contin. Discrete Models 2022, Paper No. 56, 19 p. (2022; Zbl 07636102) Full Text: DOI
Bürger, Raimund; Careaga, Julio; Diehl, Stefan; Pineda, Romel A moving-boundary model of reactive settling in wastewater treatment. II: numerical scheme. (English) Zbl 1505.35252 Appl. Math. Modelling 111, 247-269 (2022). MSC: 35K65 35Q35 65M06 76V05 PDFBibTeX XMLCite \textit{R. Bürger} et al., Appl. Math. Modelling 111, 247--269 (2022; Zbl 1505.35252) Full Text: DOI
Chen, Yanlai; Dong, Bo; Pereira, Rebecca A new conservative discontinuous Galerkin method via implicit penalization for the generalized Korteweg-de Vries equation. (English) Zbl 1503.65224 SIAM J. Numer. Anal. 60, No. 6, 3078-3098 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 35C08 35Q53 PDFBibTeX XMLCite \textit{Y. Chen} et al., SIAM J. Numer. Anal. 60, No. 6, 3078--3098 (2022; Zbl 1503.65224) Full Text: DOI arXiv
Calvo, Maria Cabrera; Schratz, Katharina Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter. (English) Zbl 1502.65158 BIT 62, No. 4, 1625-1647 (2022). MSC: 65M70 65M06 65N35 65L05 65M12 65M15 41A58 35Q53 PDFBibTeX XMLCite \textit{M. C. Calvo} and \textit{K. Schratz}, BIT 62, No. 4, 1625--1647 (2022; Zbl 1502.65158) Full Text: DOI arXiv
Zhang, Qifeng; Qin, Yifan; Sun, Zhi-zhong Linearly compact scheme for 2D Sobolev equation with Burgers’ type nonlinearity. (English) Zbl 1500.65049 Numer. Algorithms 91, No. 3, 1081-1114 (2022). MSC: 65M06 65N06 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Numer. Algorithms 91, No. 3, 1081--1114 (2022; Zbl 1500.65049) Full Text: DOI
Uma, D.; Jafari, H.; Balachandar, S. Raja; Venkatesh, S. G. An approximate solution for stochastic Burgers’ equation driven by white noise. (English) Zbl 1513.65011 Comput. Appl. Math. 41, No. 7, Paper No. 321, 17 p. (2022). MSC: 65C30 60H35 60H15 60H40 35Q53 35R60 PDFBibTeX XMLCite \textit{D. Uma} et al., Comput. Appl. Math. 41, No. 7, Paper No. 321, 17 p. (2022; Zbl 1513.65011) Full Text: DOI
Andreianov, Boris; Sylla, Abraham Existence analysis and numerical approximation for a second-order model of traffic with orderliness marker. (English) Zbl 1498.35356 Math. Models Methods Appl. Sci. 32, No. 7, 1295-1348 (2022). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35D30 65M08 76A30 90B06 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{A. Sylla}, Math. Models Methods Appl. Sci. 32, No. 7, 1295--1348 (2022; Zbl 1498.35356) Full Text: DOI
Yunakovsky, A. D. Nonlinear Schrödinger equation and the hyperbolization method. (English. Russian original) Zbl 1511.81045 Comput. Math. Math. Phys. 62, No. 7, 1112-1130 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1138-1157 (2022). MSC: 81Q05 35Q55 35Q41 81Q37 65M50 PDFBibTeX XMLCite \textit{A. D. Yunakovsky}, Comput. Math. Math. Phys. 62, No. 7, 1112--1130 (2022; Zbl 1511.81045); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1138--1157 (2022) Full Text: DOI
Arab, Reza; Rabbani, Mohsen Existence of solution of functional Volterra-Fredholm integral equations in space \(L^\infty(\mathbb{R}_+)\) and sinc interpolation to find solution. (English) Zbl 1501.45003 J. Integral Equations Appl. 34, No. 2, 151-164 (2022). Reviewer: Alexander N. Tynda (Penza) MSC: 45G10 45D05 45B05 47H08 47H10 47N20 65R20 PDFBibTeX XMLCite \textit{R. Arab} and \textit{M. Rabbani}, J. Integral Equations Appl. 34, No. 2, 151--164 (2022; Zbl 1501.45003) Full Text: DOI
Yang, Kai Arbitrarily high-order conservative schemes for the generalized Korteweg-de Vries equation. (English) Zbl 1496.65190 SIAM J. Sci. Comput. 44, No. 4, A2709-A2733 (2022). MSC: 65M70 65L06 35Q53 35C08 PDFBibTeX XMLCite \textit{K. Yang}, SIAM J. Sci. Comput. 44, No. 4, A2709--A2733 (2022; Zbl 1496.65190) Full Text: DOI arXiv
Calvo, María Cabrera; Rousset, Frédéric; Schratz, Katharina Time integrators for dispersive equations in the long wave regime. (English) Zbl 1507.65203 Math. Comput. 91, No. 337, 2197-2214 (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 65M15 65M12 65D30 35Q53 PDFBibTeX XMLCite \textit{M. C. Calvo} et al., Math. Comput. 91, No. 337, 2197--2214 (2022; Zbl 1507.65203) Full Text: DOI arXiv
Zhang, Qifeng; Liu, Lingling; Zhang, Zhimin Linearly implicit invariant-preserving decoupled difference scheme for the rotation-two-component Camassa-Holm system. (English) Zbl 1492.65248 SIAM J. Sci. Comput. 44, No. 4, A2226-A2252 (2022). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Q. Zhang} et al., SIAM J. Sci. Comput. 44, No. 4, A2226--A2252 (2022; Zbl 1492.65248) Full Text: DOI
Wu, Yifei; Zhao, Xiaofei Embedded exponential-type low-regularity integrators for KdV equation under rough data. (English) Zbl 07569617 BIT 62, No. 3, 1049-1090 (2022). MSC: 65Mxx 65L05 65L20 65L70 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{X. Zhao}, BIT 62, No. 3, 1049--1090 (2022; Zbl 07569617) Full Text: DOI arXiv
Chen, Yue; Gong, Yuezheng; Hong, Qi; Wang, Chunwu A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. (English) Zbl 1513.65402 Numer. Math., Theory Methods Appl. 15, No. 3, 768-792 (2022). MSC: 65M70 65L06 65N35 35Q53 PDFBibTeX XMLCite \textit{Y. Chen} et al., Numer. Math., Theory Methods Appl. 15, No. 3, 768--792 (2022; Zbl 1513.65402) Full Text: DOI arXiv
Brachet, Matthieu; Debreu, Laurent; Eldred, Christopher Comparison of exponential integrators and traditional time integration schemes for the shallow water equations. (English) Zbl 1502.65054 Appl. Numer. Math. 180, 55-84 (2022). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65N06 PDFBibTeX XMLCite \textit{M. Brachet} et al., Appl. Numer. Math. 180, 55--84 (2022; Zbl 1502.65054) Full Text: DOI
Sylla, Abraham A LWR model with constraints at moving interfaces. (English) Zbl 1492.35164 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1081-1114 (2022). MSC: 35L65 35L03 76A30 65M08 PDFBibTeX XMLCite \textit{A. Sylla}, ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1081--1114 (2022; Zbl 1492.35164) Full Text: DOI
Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux. (English) Zbl 07549401 Numer. Math. 151, No. 3, 601-625 (2022). MSC: 65-XX 35L65 35B44 35A01 65M06 65M08 PDFBibTeX XMLCite \textit{S. S. Ghoshal} et al., Numer. Math. 151, No. 3, 601--625 (2022; Zbl 07549401) Full Text: DOI
Fjordholm, Ulrik Skre; Lye, Kjetil Olsen Convergence rates of monotone schemes for conservation laws for data with unbounded total variation. (English) Zbl 07543420 J. Sci. Comput. 91, No. 2, Paper No. 32, 16 p. (2022). MSC: 65Mxx 35Lxx 35Qxx PDFBibTeX XMLCite \textit{U. S. Fjordholm} and \textit{K. O. Lye}, J. Sci. Comput. 91, No. 2, Paper No. 32, 16 p. (2022; Zbl 07543420) Full Text: DOI arXiv
Ning, Cui; Wu, Yifei; Zhao, Xiaofei An embedded exponential-type low-regularity integrator for mKdV equation. (English) Zbl 07534667 SIAM J. Numer. Anal. 60, No. 3, 999-1025 (2022). MSC: 65Mxx 65L05 65L20 65L70 65M12 65M15 PDFBibTeX XMLCite \textit{C. Ning} et al., SIAM J. Numer. Anal. 60, No. 3, 999--1025 (2022; Zbl 07534667) Full Text: DOI
Xu, Xiang; Zhai, Jian Inversion of trace formulas for a Sturm-Liouville operator. (English) Zbl 1499.65341 J. Comput. Math. 40, No. 3, 398-416 (2022). MSC: 65L15 34B24 65L09 PDFBibTeX XMLCite \textit{X. Xu} and \textit{J. Zhai}, J. Comput. Math. 40, No. 3, 398--416 (2022; Zbl 1499.65341) Full Text: DOI arXiv
Gong, Xianliang; Pan, Yulin Sequential Bayesian experimental design for estimation of extreme-event probability in stochastic input-to-response systems. (English) Zbl 1507.65020 Comput. Methods Appl. Mech. Eng. 395, Article ID 114979, 17 p. (2022). MSC: 65C20 60G35 62Kxx PDFBibTeX XMLCite \textit{X. Gong} and \textit{Y. Pan}, Comput. Methods Appl. Mech. Eng. 395, Article ID 114979, 17 p. (2022; Zbl 1507.65020) Full Text: DOI arXiv
He, Ying; Zhao, Xiaofei Numerical integrators for dispersion-managed KdV equation. (English) Zbl 1486.65143 Commun. Comput. Phys. 31, No. 4, 1180-1214 (2022). MSC: 65M12 35Q53 65M06 65M60 65M70 65M15 PDFBibTeX XMLCite \textit{Y. He} and \textit{X. Zhao}, Commun. Comput. Phys. 31, No. 4, 1180--1214 (2022; Zbl 1486.65143) Full Text: DOI
Rousset, Frédéric; Schratz, Katharina Convergence error estimates at low regularity for time discretizations of KdV. (English) Zbl 1492.65257 Pure Appl. Anal. 4, No. 1, 127-152 (2022). MSC: 65M22 65M15 65M12 35Q53 PDFBibTeX XMLCite \textit{F. Rousset} and \textit{K. Schratz}, Pure Appl. Anal. 4, No. 1, 127--152 (2022; Zbl 1492.65257) Full Text: DOI arXiv
Chiarello, Felisia Angela; Contreras, Harold Deivi; Villada, Luis Miguel Nonlocal reaction traffic flow model with on-off ramps. (English) Zbl 1490.65166 Netw. Heterog. Media 17, No. 2, 203-226 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35L45 90B20 35Q90 35A01 35A02 35B50 PDFBibTeX XMLCite \textit{F. A. Chiarello} et al., Netw. Heterog. Media 17, No. 2, 203--226 (2022; Zbl 1490.65166) Full Text: DOI arXiv
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Gradient flow approach to the calculation of stationary states on nonlinear quantum graphs. (Une approche flot gradient pour le calcul des états stationnaires sur des graphes quantiques non linéaires.) (English. French summary) Zbl 1490.35393 Ann. Henri Lebesgue 5, 387-428 (2022). MSC: 35Q55 35Q41 35R02 35A01 35A02 65M06 65N06 PDFBibTeX XMLCite \textit{C. Besse} et al., Ann. Henri Lebesgue 5, 387--428 (2022; Zbl 1490.35393) Full Text: DOI arXiv
Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik Well-posedness theory for nonlinear scalar conservation laws on networks. (English) Zbl 1485.65097 Netw. Heterog. Media 17, No. 1, 101-128 (2022). MSC: 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{M. Musch} et al., Netw. Heterog. Media 17, No. 1, 101--128 (2022; Zbl 1485.65097) Full Text: DOI arXiv
Wu, Yifei; Yao, Fangyan A first-order Fourier integrator for the nonlinear Schrödinger equation on \(\mathbb{T}\) without loss of regularity. (English) Zbl 1492.65254 Math. Comput. 91, No. 335, 1213-1235 (2022). MSC: 65M12 65M15 65T50 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{F. Yao}, Math. Comput. 91, No. 335, 1213--1235 (2022; Zbl 1492.65254) Full Text: DOI arXiv
Wang, Wansheng; Huang, Yi; Tang, Jiao Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation. (English) Zbl 1504.65227 Comput. Math. Appl. 113, 117-129 (2022). MSC: 65M70 35R11 65J08 65M15 PDFBibTeX XMLCite \textit{W. Wang} et al., Comput. Math. Appl. 113, 117--129 (2022; Zbl 1504.65227) Full Text: DOI
Fjordholm, Ulrik S.; Musch, Markus; Risebro, Nils H. Well-posedness and convergence of a finite volume method for conservation laws on networks. (English) Zbl 07498295 SIAM J. Numer. Anal. 60, No. 2, 606-630 (2022). MSC: 65-XX 35L65 35R02 65M08 65M12 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., SIAM J. Numer. Anal. 60, No. 2, 606--630 (2022; Zbl 07498295) Full Text: DOI
Galtung, Sondre Tesdal; Grunert, Katrin Stumpons are non-conservative traveling waves of the Camassa-Holm equation. (English) Zbl 07487505 Physica D 433, Article ID 133196, 17 p. (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. T. Galtung} and \textit{K. Grunert}, Physica D 433, Article ID 133196, 17 p. (2022; Zbl 07487505) Full Text: DOI arXiv
Clayton, Bennett; Guermond, Jean-Luc; Popov, Bojan Invariant domain-preserving approximations for the Euler equations with tabulated equation of state. (English) Zbl 1486.65164 SIAM J. Sci. Comput. 44, No. 1, A444-A470 (2022). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65N30 65M12 65M22 35L65 76N10 35Q31 PDFBibTeX XMLCite \textit{B. Clayton} et al., SIAM J. Sci. Comput. 44, No. 1, A444--A470 (2022; Zbl 1486.65164) Full Text: DOI
Friedrich, Jan; Göttlich, Simone; Osztfalk, Maximilian Network models for nonlocal traffic flow. (English) Zbl 1484.35284 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 213-235 (2022). MSC: 35L65 65M12 76A30 90B20 PDFBibTeX XMLCite \textit{J. Friedrich} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 1, 213--235 (2022; Zbl 1484.35284) Full Text: DOI arXiv
Park, Jintae; Lee, Chaeyoung; Choi, Yongho; Lee, Hyun Geun; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy. (English) Zbl 1489.65134 J. Eng. Math. 132, Paper No. 18, 18 p. (2022). MSC: 65M55 65M06 65N06 65F10 35Q35 PDFBibTeX XMLCite \textit{J. Park} et al., J. Eng. Math. 132, Paper No. 18, 18 p. (2022; Zbl 1489.65134) Full Text: DOI
Briani, M.; Puppo, G.; Ribot, M. Angle dependence in coupling conditions for shallow water equations at channel junctions. (English) Zbl 1524.35380 Comput. Math. Appl. 108, 49-65 (2022). MSC: 35L65 76B15 35Q35 76M12 65M60 PDFBibTeX XMLCite \textit{M. Briani} et al., Comput. Math. Appl. 108, 49--65 (2022; Zbl 1524.35380) Full Text: DOI arXiv
Einkemmer, L.; Ostermann, A.; Residori, M. A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. (English) Zbl 1482.65192 Numer. Math. 150, No. 1, 105-135 (2022). Reviewer: Xiaofei Zhao (Wuhan) MSC: 65M70 65M06 65M12 65N35 65N30 35Q53 PDFBibTeX XMLCite \textit{L. Einkemmer} et al., Numer. Math. 150, No. 1, 105--135 (2022; Zbl 1482.65192) Full Text: DOI arXiv
Bruned, Yvain; Schratz, Katharina Resonance-based schemes for dispersive equations via decorated trees. (English) Zbl 1504.65168 Forum Math. Pi 10, Paper No. e2, 76 p. (2022). Reviewer: Michael Jung (Dresden) MSC: 65M06 60L70 65M12 65M15 16T05 41A58 42A38 05C05 35B34 35Q53 35Q55 35Q41 60L30 81R50 PDFBibTeX XMLCite \textit{Y. Bruned} and \textit{K. Schratz}, Forum Math. Pi 10, Paper No. e2, 76 p. (2022; Zbl 1504.65168) Full Text: DOI arXiv
dos Santos, Bruna C.; Oliva, Sergio M.; Rossi, Julio D. Splitting methods and numerical approximations for a coupled local/nonlocal diffusion model. (English) Zbl 1499.35092 Comput. Appl. Math. 41, No. 1, Paper No. 6, 38 p. (2022). MSC: 35B40 65M06 65M20 PDFBibTeX XMLCite \textit{B. C. dos Santos} et al., Comput. Appl. Math. 41, No. 1, Paper No. 6, 38 p. (2022; Zbl 1499.35092) Full Text: DOI
Diaz-Adame, R.; Jerez, S.; Carrillo, H. Fast and optimal WENO schemes for degenerate parabolic conservation laws. (English) Zbl 1481.65126 J. Sci. Comput. 90, No. 1, Paper No. 22, 28 p. (2022). MSC: 65M06 65N06 35K55 35K65 76R50 35Q35 PDFBibTeX XMLCite \textit{R. Diaz-Adame} et al., J. Sci. Comput. 90, No. 1, Paper No. 22, 28 p. (2022; Zbl 1481.65126) Full Text: DOI
Wang, Xuping; Sun, Zhi-zhong A second order convergent difference scheme for the initial-boundary value problem of Korteweg-de Vires equation. (English) Zbl 07776177 Numer. Methods Partial Differ. Equations 37, No. 5, 2873-2894 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Wang} and \textit{Z.-z. Sun}, Numer. Methods Partial Differ. Equations 37, No. 5, 2873--2894 (2021; Zbl 07776177) Full Text: DOI
Dutta, Rajib; Sarkar, Tanmay Operator splitting for the fractional Korteweg-de Vries equation. (English) Zbl 07775888 Numer. Methods Partial Differ. Equations 37, No. 6, 3000-3022 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Dutta} and \textit{T. Sarkar}, Numer. Methods Partial Differ. Equations 37, No. 6, 3000--3022 (2021; Zbl 07775888) Full Text: DOI
Hochbruck, Marlis (ed.); Lubich, Christian (ed.); McLachlan, Robert (ed.); Sanz-Serna, Jesús María (ed.) Geometric numerical integration. Abstracts from the workshop held March 28 – April 3, 2021 (hybrid meeting). (English) Zbl 1506.00081 Oberwolfach Rep. 18, No. 2, 943-999 (2021). MSC: 00B05 00B25 65-06 65D30 34-06 35-06 PDFBibTeX XMLCite \textit{M. Hochbruck} (ed.) et al., Oberwolfach Rep. 18, No. 2, 943--999 (2021; Zbl 1506.00081) Full Text: DOI
Bai, Genming; Koley, Ujjwal; Mishra, Siddhartha; Molinaro, Roberto Physics informed neural networks (PINNs) for approximating nonlinear dispersive PDEs. (English) Zbl 1499.65205 J. Comput. Math. 39, No. 6, 816-847 (2021). MSC: 65J15 35Q53 68T07 PDFBibTeX XMLCite \textit{G. Bai} et al., J. Comput. Math. 39, No. 6, 816--847 (2021; Zbl 1499.65205) Full Text: DOI arXiv
Remesan, Gopikrishnan Chirappurathu Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model. (English) Zbl 1491.65082 ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1405-1437 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35L65 92C37 92C50 76D07 35J05 35Q92 PDFBibTeX XMLCite \textit{G. C. Remesan}, ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1405--1437 (2021; Zbl 1491.65082) Full Text: DOI arXiv
Bressan, Alberto; Jiang, Yi; Liu, Hailiang Numerical study of non-uniqueness for 2D compressible isentropic Euler equations. (English) Zbl 07515847 J. Comput. Phys. 445, Article ID 110588, 14 p. (2021). MSC: 35Lxx 35Qxx 65Mxx PDFBibTeX XMLCite \textit{A. Bressan} et al., J. Comput. Phys. 445, Article ID 110588, 14 p. (2021; Zbl 07515847) Full Text: DOI arXiv
Roudenko, Svetlana; Wang, Zhongming; Yang, Kai Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study. (English) Zbl 07515841 J. Comput. Phys. 445, Article ID 110570, 25 p. (2021). MSC: 35Qxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{S. Roudenko} et al., J. Comput. Phys. 445, Article ID 110570, 25 p. (2021; Zbl 07515841) Full Text: DOI arXiv
Csomós, Petra; Ehrhardt, Matthias; Farkas, Bálint Operator splitting for abstract Cauchy problems with dynamical boundary conditions. (English) Zbl 07515561 Oper. Matrices 15, No. 3, 903-935 (2021). MSC: 47D06 47N40 34G10 65J08 65M12 65M15 PDFBibTeX XMLCite \textit{P. Csomós} et al., Oper. Matrices 15, No. 3, 903--935 (2021; Zbl 07515561) Full Text: DOI arXiv
Abgrall, Rémi (ed.); Garavello, Mauro (ed.); Lukáčová-Medvid’ová, Mária (ed.); Trivisa, Konstantina (ed.) Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 – March 6, 2021 (hybrid meeting). (English) Zbl 1487.00026 Oberwolfach Rep. 18, No. 1, 589-661 (2021). MSC: 00B05 00B25 35-06 60-06 35L65 35L40 35L60 35R60 65M08 60H15 PDFBibTeX XMLCite \textit{R. Abgrall} (ed.) et al., Oberwolfach Rep. 18, No. 1, 589--661 (2021; Zbl 1487.00026) Full Text: DOI
Amiranashvili, Shalva; Radziunas, Mindaugas; Bandelow, Uwe; Busch, Kurt; Čiegis, Raimondas Additive splitting methods for parallel solutions of evolution problems. (English) Zbl 07513862 J. Comput. Phys. 436, Article ID 110320, 14 p. (2021). MSC: 65Mxx 65Lxx 35Qxx PDFBibTeX XMLCite \textit{S. Amiranashvili} et al., J. Comput. Phys. 436, Article ID 110320, 14 p. (2021; Zbl 07513862) Full Text: DOI
Rizvi, S. T. R.; Seadawy, Aly R.; Younis, M.; Ahmad, S.; Ali, K. Weierstrass and Jacobi elliptic solutions with some new dromions to Maccari system. (English) Zbl 1490.35097 Int. J. Mod. Phys. B 35, No. 25, Article ID 2150257, 16 p. (2021). MSC: 35C08 33C45 35J05 35Q51 65S05 PDFBibTeX XMLCite \textit{S. T. R. Rizvi} et al., Int. J. Mod. Phys. B 35, No. 25, Article ID 2150257, 16 p. (2021; Zbl 1490.35097) Full Text: DOI
Barsukow, Wasilij Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids. (English) Zbl 07503722 J. Comput. Phys. 435, Article ID 110216, 27 p. (2021). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{W. Barsukow}, J. Comput. Phys. 435, Article ID 110216, 27 p. (2021; Zbl 07503722) Full Text: DOI arXiv
Abedian, Rooholah WENO-Z schemes with Legendre basis for non-linear degenerate parabolic equations. WENO-Z schemes with Legendre basis for non-linear degenerate parabolic equations. (English) Zbl 1482.65132 Iran. J. Math. Sci. Inform. 16, No. 2, 125-143 (2021). MSC: 65M06 35K65 PDFBibTeX XMLCite \textit{R. Abedian}, Iran. J. Math. Sci. Inform. 16, No. 2, 125--143 (2021; Zbl 1482.65132) Full Text: Link
Frank, Martin; Kusch, Jonas; Wolters, Jannick Entropy-based methods for uncertainty quantification of hyperbolic conservation laws. (English) Zbl 07451984 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 29-56 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Frank} et al., SEMA SIMAI Springer Ser. 28, 29--56 (2021; Zbl 07451984) Full Text: DOI
Weissen, Jennifer; Göttlich, Simone; Armbruster, Dieter Density dependent diffusion models for the interaction of particle ensembles with boundaries. (English) Zbl 1502.35181 Kinet. Relat. Models 14, No. 4, 681-704 (2021). MSC: 35Q92 92C15 35M10 35K65 35L65 65M06 65N06 92-08 PDFBibTeX XMLCite \textit{J. Weissen} et al., Kinet. Relat. Models 14, No. 4, 681--704 (2021; Zbl 1502.35181) Full Text: DOI arXiv
Medina Dorantes, Francisco; Itzá Balam, Reymundo; Uh Zapata, Miguel The immersed interface method for Helmholtz equations with degenerate diffusion. (English) Zbl 07431517 Math. Comput. Simul. 190, 280-302 (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{F. Medina Dorantes} et al., Math. Comput. Simul. 190, 280--302 (2021; Zbl 07431517) Full Text: DOI
Galtung, Sondre Tesdal; Grunert, Katrin A numerical study of variational discretizations of the Camassa-Holm equation. (English) Zbl 1477.35212 BIT 61, No. 4, 1271-1309 (2021). MSC: 35Q51 65M22 65L05 65M06 65M70 35C08 PDFBibTeX XMLCite \textit{S. T. Galtung} and \textit{K. Grunert}, BIT 61, No. 4, 1271--1309 (2021; Zbl 1477.35212) Full Text: DOI arXiv
Xiao, Min; Ni, Guoxi; Niu, Xiao A robust interface method for reactive fluids with sharp interface. (English) Zbl 1521.76482 Comput. Fluids 223, Article ID 104915, 17 p. (2021). MSC: 76M12 65M08 76Nxx 76V05 PDFBibTeX XMLCite \textit{M. Xiao} et al., Comput. Fluids 223, Article ID 104915, 17 p. (2021; Zbl 1521.76482) Full Text: DOI
Wang, Shengfeng; Zhang, Xiaohua; Koellermeier, Julian; Ji, Daobin A combination of high-order compact finite difference schemes and a splitting method that preserves accuracy for the multi-dimensional Burgers’ equation. (English) Zbl 1488.65295 Adv. Appl. Math. Mech. 13, No. 5, 1261-1292 (2021). MSC: 65M06 65N06 65L06 65M12 78M20 35Q35 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Appl. Math. Mech. 13, No. 5, 1261--1292 (2021; Zbl 1488.65295) Full Text: DOI
Badwaik, Jayesh; Klingenberg, Christian; Risebro, Nils Henrik; Ruf, Adrian M. Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux. (English) Zbl 1509.65081 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1039-1065 (2021). MSC: 65M08 65C05 65M12 65M15 62F15 35L65 35A01 35A02 35Q35 35R05 35R60 PDFBibTeX XMLCite \textit{J. Badwaik} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1039--1065 (2021; Zbl 1509.65081) Full Text: DOI arXiv
Bao, Gang; Xu, Xiang; Zhai, Jian Inverse spectral problem for a damped wave operator. (English) Zbl 1516.65078 SIAM J. Appl. Math. 81, No. 5, 1799-1820 (2021). MSC: 65M32 35R30 65L15 65F18 45B05 34L05 34B24 11F72 PDFBibTeX XMLCite \textit{G. Bao} et al., SIAM J. Appl. Math. 81, No. 5, 1799--1820 (2021; Zbl 1516.65078) Full Text: DOI arXiv
Cheng, Hong; Wang, Xiaofeng Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries. (English) Zbl 1476.65211 Comput. Appl. Math. 40, No. 2, Paper No. 49, 22 p. (2021). MSC: 65M12 65N06 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{X. Wang}, Comput. Appl. Math. 40, No. 2, Paper No. 49, 22 p. (2021; Zbl 1476.65211) Full Text: DOI
Britton, Jolene; Chow, Yat Tin; Chen, Weitao; Xing, Yulong Recovery of a time-dependent bottom topography function from the shallow water equations via an adjoint approach. (English) Zbl 1523.65079 SIAM J. Sci. Comput. 43, No. 4, A2981-A3008 (2021). MSC: 65M32 65M30 65M60 65K10 35B65 35L60 35L65 76B15 35Q35 35R30 35R25 PDFBibTeX XMLCite \textit{J. Britton} et al., SIAM J. Sci. Comput. 43, No. 4, A2981--A3008 (2021; Zbl 1523.65079) Full Text: DOI arXiv
Yu, Xuhong; Ye, Xueqin; Wang, Zhongqing A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation. (English) Zbl 1484.65278 Numer. Algorithms 88, No. 1, 1-23 (2021). MSC: 65M70 35Q35 33C45 65M50 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Algorithms 88, No. 1, 1--23 (2021; Zbl 1484.65278) Full Text: DOI
Kofler, Andreas; Levajković, Tijana; Mena, Hermann; Ostermann, Alexander A splitting/polynomial chaos expansion approach for stochastic evolution equations. (English) Zbl 1470.60201 J. Evol. Equ. 21, No. 2, 1345-1381 (2021). MSC: 60H35 60H15 60H40 65J10 65M12 PDFBibTeX XMLCite \textit{A. Kofler} et al., J. Evol. Equ. 21, No. 2, 1345--1381 (2021; Zbl 1470.60201) Full Text: DOI arXiv