Ranocha, Hendrik; Winters, Andrew R.; Schlottke-Lakemper, Michael; Öffner, Philipp; Glaubitz, Jan; Gassner, Gregor J. On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. (English) Zbl 07953964 J. Comput. Phys. 520, Article ID 113471, 32 p. (2025). MSC: 65M06 65M20 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Thomas Y.; Zhang, Shumao Potential singularity of the axisymmetric Euler equations with \(C^{\alpha}\) initial vorticity for a large range of \(\alpha\). (English) Zbl 07950210 Multiscale Model. Simul. 22, No. 4, 1326-1364 (2024). MSC: 35Q31 76B03 65M60 65M06 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christlieb, Andrew J.; Sands, William A.; White, Stephen R. A particle-in-cell method for plasmas with a generalized momentum formulation. II: Enforcing the Lorenz gauge condition. (English) Zbl 07945524 J. Sci. Comput. 101, No. 3, Paper No. 73, 26 p. (2024). MSC: 65Mxx 78Mxx 78Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ricardo, Kieran; Duru, Kenneth; Lee, David An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations. (English) Zbl 07944242 SIAM J. Sci. Comput. 46, No. 6, A3353-A3374 (2024). MSC: 65M12 65M20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng; Ling, Leevan Exploring oversampling in RBF least-squares collocation method of lines for surface diffusion. (English) Zbl 07932422 Numer. Algorithms 97, No. 3, 1067-1087 (2024). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Solymosi, József; White, Ethan Patrick Concyclic intervals in the plane. (English) Zbl 07931811 Discrete Comput. Geom. 72, No. 2, 1010-1027 (2024). Reviewer: Piotr Pokora (Kraków) MSC: 52C10 52C30 52C35 × Cite Format Result Cite Review PDF Full Text: DOI
Dumitrescu, Adrian The Dirac-Goodman-Pollack conjecture. (English) Zbl 07931798 Discrete Comput. Geom. 72, No. 2, 728-742 (2024). Reviewer: László A. Székely (Columbia) MSC: 52C10 52C30 68R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González-Tabernero, Víctor; López-Salas, José Germán; Castro-Díaz, Manuel Jesús; García-Rodríguez, José Antonio Boundary treatment for high-order IMEX Runge-Kutta local discontinuous Galerkin schemes for multidimensional nonlinear parabolic PDEs. (English) Zbl 07931278 SIAM J. Sci. Comput. 46, No. 5, A3282-A3304 (2024). MSC: 65M20 65M60 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paoli, Laetitia An overview of numerical methods for discrete dynamical systems with frictionless unilateral constraints: mathematical issues and convergence results. (English) Zbl 07928438 Migórski, Stanisław (ed.) et al., Nonsmooth problems with applications in mechanics. Selected papers based on the presentations of the conference, Będlewo, Poland, June 17–22, 2023. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 127, 219-243 (2024). MSC: 70-XX 74M20 70E55 65L05 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Shaoshuai; Kurganov, Alexander; Xin, Ruixiao Low-dissipation central-upwind schemes for compressible multifluids. (English) Zbl 07923411 J. Comput. Phys. 518, Article ID 113311, 35 p. (2024). MSC: 76M12 65M08 76M20 65M20 76N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puppo, Gabriella; Semplice, Matteo; Visconti, Giuseppe Quinpi: integrating stiff hyperbolic systems with implicit high order finite volume schemes. (English) Zbl 07916200 Commun. Comput. Phys. 36, No. 1, 30-70 (2024). MSC: 65M08 35L65 65L04 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cano, Begoña; Moreta, María Jesús Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. (English) Zbl 07902499 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1053-1085 (2024). MSC: 65M20 65M06 65L04 65L06 65M60 65N06 65N30 65F10 65M12 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Klein, Simon-Christian Stabilizing discontinuous Galerkin methods using Dafermos’ entropy rate criterion. II: Systems of conservation laws and entropy inequality predictors. (English) Zbl 07900960 J. Sci. Comput. 100, No. 2, Paper No. 42, 49 p. (2024). MSC: 65-XX 35L03 35L45 35L65 35L67 65M08 65M12 65M20 76L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doehring, Daniel; Schlottke-Lakemper, Michael; Gassner, Gregor J.; Torrilhon, Manuel Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics. (English) Zbl 07898994 J. Comput. Phys. 514, Article ID 113223, 33 p. (2024). MSC: 65L06 65M20 76Mxx 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Venturino, Ezio; Aniţa, Sebastian; Mezzanotte, Domenico; Occorsio, Donatella A high order numerical scheme for a nonlinear nonlocal reaction-diffusion model arising in population theory. (English) Zbl 07890913 J. Comput. Appl. Math. 451, Article ID 116082, 14 p. (2024). MSC: 65-XX 35K57 65M20 41A10 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Ranocha, Hendrik; Schütz, Jochen Multiderivative time integration methods preserving nonlinear functionals via relaxation. (English) Zbl 1543.65112 Commun. Appl. Math. Comput. Sci. 19, No. 1, 27-56 (2024). MSC: 65L06 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Fukeng; Shen, Jie On a new class of BDF and IMEX schemes for parabolic type equations. (English) Zbl 1544.65155 SIAM J. Numer. Anal. 62, No. 4, 1609-1637 (2024). MSC: 65M20 65M12 65M15 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conte, Dajana; González-Pinto, Severiano; Hernández-Abreu, Domingo; Pagano, Giovanni On approximate matrix factorization and TASE W-methods for the time integration of parabolic partial differential equations. (English) Zbl 1545.65308 J. Sci. Comput. 100, No. 2, Paper No. 34, 28 p. (2024). MSC: 65L06 65L20 65M12 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Wooley, Trevor D. Rational lines on diagonal hypersurfaces and subconvexity via the circle method. (English) Zbl 07876015 Trans. Am. Math. Soc. 377, No. 3, 2125-2147 (2024). MSC: 11D45 11D72 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Botelho, Fabio Silva The numerical method of lines and duality principles applied to models in physics and engineering. (English) Zbl 07875850 Boca Raton, FL: CRC Press (ISBN 978-1-032-19209-3/hbk; 978-1-003-25813-1/ebook). (2024). MSC: 65-01 65M20 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhiming; Liu, Yong Efficient and parallel solution of high-order continuous time Galerkin for dissipative and wave propagation problems. (English) Zbl 1543.65148 SIAM J. Sci. Comput. 46, No. 3, A2073-A2100 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 65M20 65L06 65L60 65Y05 41A21 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adams, Mark; Muir, Paul Differential equation software for the computation of error-controlled continuous approximate solutions. (English) Zbl 1545.65284 Numer. Algorithms 96, No. 3, 1021-1044 (2024). MSC: 65L05 65L10 65L50 65M20 65M50 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Boscarino, Sebastiano; Russo, Giovanni Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review. (English) Zbl 1545.65307 S\(\vec{\text{e}}\)MA J. 81, No. 1, 3-49 (2024). MSC: 65L06 65M20 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Yousuf, M.; Sarwar, Shahzad A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations. (English) Zbl 07856511 Int. J. Comput. Math. 101, No. 1, 1-20 (2024). MSC: 65-XX 35K20 35K58 35R11 65N40 × Cite Format Result Cite Review PDF Full Text: DOI
Abbaszadeh, Mostafa; Zaky, Mahmoud A.; Hendy, Ahmed S.; Dehghan, Mehdi Optical solitons based on N-coupled nonlinear Schrödinger equations and rational RBF partition of unity approach. (English) Zbl 07855381 Eng. Anal. Bound. Elem. 163, 297-307 (2024). MSC: 65M12 65N12 65N30 65N40 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Nawzad M.; Soleymani, Fazlollah; Saeed, Rostam K. Numerical investigation of high-dimensional option pricing PDEs by utilizing a hybrid radial basis function – finite difference procedure. (English) Zbl 07855375 Eng. Anal. Bound. Elem. 163, 211-222 (2024). MSC: 65M20 65Z05 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lele; Zhang, Hong; Qian, Xu; Song, Songhe Maximum-principle-preserving, steady-state-preserving and large time-stepping high-order schemes for scalar hyperbolic equations with source terms. (English) Zbl 1536.65084 Commun. Comput. Phys. 35, No. 2, 498-523 (2024). MSC: 65M06 35L65 65L06 65M20 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Kaneko, Akihiro Multi-stage Euler-Maruyama methods for backward stochastic differential equations driven by continuous-time Markov chains. (English) Zbl 1536.60058 Japan J. Ind. Appl. Math. 41, No. 2, 1223-1276 (2024). MSC: 60H35 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alonso-García, Jennifer; Sherris, Michael; Thirurajah, Samuel; Ziveyi, Jonathan Taxation and policyholder behavior: the case of guaranteed minimum accumulation benefits. (English) Zbl 1537.91235 ASTIN Bull. 54, No. 1, 185-212 (2024). Reviewer: Emilia Di Lorenzo (Napoli) MSC: 91G05 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Ansari, Khursheed J.; Izadi, Mohammad; Noeiaghdam, Samad Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters. (English) Zbl 1541.65118 Demonstr. Math. 57, Article ID 20230144, 23 p. (2024). MSC: 65M70 65M20 65N35 65N12 41A10 41A50 35B25 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Trewhela, Tomás Segregation-rheology feedback in bidisperse granular flows: a coupled Stokes’ problem. (English) Zbl 07832940 J. Fluid Mech. 983, Paper No. A45, 19 p. (2024). MSC: 76T25 76A99 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas Rothe’s method in combination with a fundamental sequences method for the nonstationary Stokes problem. (English) Zbl 1542.65101 Numer. Algorithms 96, No. 1, 59-73 (2024). MSC: 65M20 65M06 65N80 76D07 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Tomon, István Coloring lines and Delaunay graphs with respect to boxes. (English) Zbl 1536.05357 Random Struct. Algorithms 64, No. 3, 645-662 (2024). MSC: 05C69 52B55 05C15 68R10 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doehring, Daniel; Gassner, Gregor J.; Torrilhon, Manuel Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations. (English) Zbl 1535.65163 J. Sci. Comput. 99, No. 1, Paper No. 28, 40 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M20 65L06 65M06 65N50 65N30 65D07 65K10 65F15 49M41 41A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rufai, Mufutau Ajani; Ramos, Higinio; Carpentieri, Bruno A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems. (English) Zbl 1535.65164 Results Appl. Math. 21, Article ID 100417, 10 p. (2024). MSC: 65M20 65N06 65N50 65H10 65F15 65L11 65M15 35K20 35B25 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Valseth, Eirik; Behnoudfar, Pouria; Dawson, Clint; Romkes, Albert Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems. (English) Zbl 07813433 Comput. Math. Appl. 157, 15-26 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hong, Xue; Qiu, Jing-Mei A conservative Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for linear hyperbolic system with large time stepping. (English) Zbl 1534.65182 J. Sci. Comput. 98, No. 3, Paper No. 70, 32 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65L06 65M20 65M25 35L02 76W05 76B15 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chizhonkov, Eugene V. On a 1D-electrostatic test problem for the PIC method. (English) Zbl 1534.65165 Russ. J. Numer. Anal. Math. Model. 39, No. 1, 13-25 (2024). MSC: 65M20 65M06 76M20 76X05 82D10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ran; Zhang, Huai; Kang, Tong A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition. (English) Zbl 1533.35326 Comput. Methods Appl. Math. 24, No. 1, 239-264 (2024). MSC: 35Q60 35Q79 78A30 80A19 35A01 35A02 35B07 35D30 35A15 65M60 65M20 65N30 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Shcheglov, Alexey; Li, Jingzhi; Wang, Chao; Ilin, Alexander; Zhang, Ye Reconstructing the absorption function in a quasi-linear sorption dynamic model via an iterative regularizing algorithm. (English) Zbl 1538.65320 Adv. Appl. Math. Mech. 16, No. 1, 237-252 (2024). MSC: 65M32 65M30 35R30 65M12 65M15 65M20 35A01 35A02 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
John, T. P.; Poole, R. J.; Kowalski, A. J.; Fonte, C. P. A comparison between the FENE-P and sPTT constitutive models in large-amplitude oscillatory shear. (English) Zbl 1535.76011 J. Fluid Mech. 979, Paper No. A10, 40 p. (2024). MSC: 76A10 76M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kovács, Endre; Majár, János; Saleh, Mahmoud Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations. (English) Zbl 1531.65142 J. Sci. Comput. 98, No. 2, Paper No. 39, 39 p. (2024). MSC: 65M20 65L04 65L06 35K57 35K05 35Q79 92C20 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Berardi, Marco; Girardi, Giovanni Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation. (English) Zbl 1531.35327 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107583, 14 p. (2024). MSC: 35Q92 35Q35 92C80 76S05 65R20 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Moisa, Andrew; Faleichik, Boris Second order stabilized two-step Runge-Kutta methods. (English) Zbl 1522.65125 J. Comput. Appl. Math. 437, Article ID 115464, 10 p. (2024). MSC: 65L06 34A34 65L05 65L20 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barsukow, Wasilij; Kern, Janina; Klingenberg, Christian; Lechner, Lisa Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform. arXiv:2412.03477 Preprint, arXiv:2412.03477 [math.NA] (2024). MSC: 65M20 65M70 65M08 35E15 × Cite Format Result Cite Full Text: arXiv
Birke, Gunnar; Engwer, Christian; Giesselmann, Jan; May, Sandra Error analysis of a first-order DoD cut cell method for 2D unsteady advection. arXiv:2411.10283 Preprint, arXiv:2411.10283 [math.NA] (2024). MSC: 65M60 65M15 65M20 35L02 × Cite Format Result Cite Full Text: arXiv
Duru, Kenneth; Stewart, Dougal; Lee, Nathan A dual-pairing summation-by-parts finite difference framework for nonlinear conservation laws. arXiv:2411.06629 Preprint, arXiv:2411.06629 [math.NA] (2024). MSC: 35F31 35F16 65M06 65M12 65M20 76F25 × Cite Format Result Cite Full Text: arXiv
Li, Yang; Wu, Xu; Yan, Jiatu; Yang, Jiang; Zhang, Qinghai; Zhao, Shubo GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions. arXiv:2409.11255 Preprint, arXiv:2409.11255 [math.NA] (2024). MSC: 76D05 65M20 × Cite Format Result Cite Full Text: arXiv OA License
Doehring, Daniel; Christmann, Lars; Schlottke-Lakemper, Michael; Gassner, Gregor J.; Torrilhon, Manuel Fourth-Order Paired-Explicit Runge-Kutta Methods. arXiv:2408.05470 Preprint, arXiv:2408.05470 [math.NA] (2024). MSC: 65L06 65M20 × Cite Format Result Cite Full Text: arXiv
Ersing, Patrick; Goldberg, Sven; Winters, Andrew R. Entropy stable hydrostatic reconstruction schemes for shallow water systems. arXiv:2406.14119 Preprint, arXiv:2406.14119 [math.NA] (2024). MSC: 65M12 65M20 65M70 76M22 35L60 86A05 × Cite Format Result Cite Full Text: arXiv OA License
Singh, Chetan; Yadav, Anshu; Bhoriya, Deepak; Kumar, Harish; Balsara, Dinshaw S. Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations. arXiv:2406.04783 Preprint, arXiv:2406.04783 [math.NA] (2024). MSC: 65M06 65M12 65M20 76P99 76W05 × Cite Format Result Cite Full Text: arXiv
Arranz-Simón, Carlos; Palencia, Cesar Rational methods for abstract linear, non-homogeneous problems without order reduction. arXiv:2405.04195 Preprint, arXiv:2405.04195 [math.NA] (2024). MSC: 65J10 65M20 65M12 × Cite Format Result Cite Full Text: arXiv OA License
Kolar, Miroslav; Sevcovic, Daniel Evolution of multiple closed knotted curves in space. arXiv:2405.01038 Preprint, arXiv:2405.01038 [math.AP] (2024). MSC: 35K57 35K65 65N40 65M08 53C80 × Cite Format Result Cite Full Text: arXiv
Öffner, Philipp; Petri, Louis; Torlo, Davide Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations. arXiv:2404.18626 Preprint, arXiv:2404.18626 [math.NA] (2024). MSC: 65M06 65M20 65L05 65L06 65L07 × Cite Format Result Cite Full Text: arXiv OA License
Schytt, Marcus Johan; Jørgensen, John Bagterp Numerical Methods for Optimal Boundary Control of Advection-Diffusion-Reaction Systems. arXiv:2404.09209 Preprint, arXiv:2404.09209 [math.NA] (2024). MSC: 49M41 35Q93 49M37 65N30 65N40 65L06 × Cite Format Result Cite Full Text: DOI arXiv
Olshanskii, Maxim; von Wahl, Henry A conservative Eulerian finite element method for transport and diffusion in moving domains. arXiv:2404.07130 Preprint, arXiv:2404.07130 [math.NA] (2024). MSC: 65M12 65M20 65M60 65M85 × Cite Format Result Cite Full Text: arXiv OA License
Benes, Michal; Kolar, Miroslav; Sevcovic, Daniel On diffusion and transport acting on parameterized moving closed curves in space. arXiv:2404.02260 Preprint, arXiv:2404.02260 [math.AP] (2024). MSC: 35K57 35K65 65N40 65M08 53C80 × Cite Format Result Cite Full Text: arXiv
Lampert, Joshua; Ranocha, Hendrik Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations. arXiv:2402.16669 Preprint, arXiv:2402.16669 [math.NA] (2024). MSC: 65M06 65M20 65M70 × Cite Format Result Cite Full Text: arXiv OA License
Chen, Qifan; Sun, Zheng; Xing, Yulong The Runge–Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws. arXiv:2402.15150 Preprint, arXiv:2402.15150 [math.NA] (2024). MSC: 65M60 65M12 65M20 65L06 × Cite Format Result Cite Full Text: arXiv OA License
Visconti, Giuseppe; Tozza, Silvia; Semplice, Matteo; Puppo, Gabriella A conservative a-posteriori time-limiting procedure in Quinpi schemes. (English) Zbl 07921308 Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 191-212 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65N08 65M20 65L04 65L06 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Raja, U. A.; Siddique, J. I.; Ahmed, A. Biomechanical response of soft tissues during passage of synovial fluid in compression. (English) Zbl 07884590 Int. J. Comput. Methods Eng. Sci. Mech. 24, No. 3, 182-192 (2023). MSC: 76Z05 76M99 74L15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mamadou, Ouedraogo; Kassiénou, Lamien; Mifiamba, Soma; Ousséni, So Numerical simulation of Rosenau-Korteweg-de Vries regularized long wave equation with flux limiters method. (English) Zbl 07835808 Adv. Differ. Equ. Control Process. 30, No. 4, 323-343 (2023). MSC: 65M06 65M20 65M22 76B15 76B25 × Cite Format Result Cite Review PDF Full Text: DOI
Benoit, Antoine; Coulombel, Jean-François The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. (English) Zbl 1534.65123 Commun. Math. Sci. 21, No. 8, 2051-2082 (2023). MSC: 65M06 65M12 65M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sadovskii, Vladimir M.; Sadovskaya, Oxana V. Mathematical modeling of inhomogeneous electric field impact on a liquid crystal layer. (English) Zbl 07824440 ZAMM, Z. Angew. Math. Mech. 103, No. 1, Article ID e202200248, 16 p. (2023). MSC: 76A15 76W05 76M30 76M20 78M99 × Cite Format Result Cite Review PDF Full Text: DOI
Pandit, Sapna Wavelets computational modeling of nonlinear coupled reaction-diffusion models arising in chemical processes. (English) Zbl 1536.65095 Math. Methods Appl. Sci. 46, No. 18, 18633-18650 (2023). MSC: 65M20 35K51 35K55 35K57 65T60 80A30 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Negero, Naol Tufa A fitted operator method of line scheme for solving two-parameter singularly perturbed parabolic convection-diffusion problems with time delay. (English) Zbl 07814808 J. Math. Model. 11, No. 2, 395-410 (2023). MSC: 65M06 65N06 65M20 65M15 65M12 65L11 35B25 76R50 76M20 35R07 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Nived, M. R.; Reddy, Poreddy Pavan Kumar; Eswaran, Vinayak Time-accurate solution of unsteady flows in an implicit solver using block LUSGS method. (English) Zbl 07813425 Int. J. Comput. Fluid Dyn. 37, No. 3, 218-233 (2023). MSC: 76M20 76M99 76N06 76F10 × Cite Format Result Cite Review PDF Full Text: DOI
Dumbser, Michael; Busto, Saray; Thomann, Andrea On thermodynamically compatible finite volume schemes for overdetermined hyperbolic systems. (English) Zbl 1534.65154 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 103-110 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M08 65M20 65L06 65N08 35N99 76W05 76T06 76N10 35L02 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Bouguellab, Nasreddine; Khalfallah, Smail; Zebiri, Boubakr; Brahmi, Nassim A shock sensor based on image segmentation with application to a hybrid central/WENO scheme. (English) Zbl 1531.65101 Int. J. Comput. Fluid Dyn. 37, No. 2, 83-121 (2023). MSC: 65M06 65M20 65L06 76L05 76V05 76G25 76N15 76M20 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Berardi, Marco; Difonzo, Fabio V.; Guglielmi, Roberto A preliminary model for optimal control of moisture content in unsaturated soils. (English) Zbl 1528.49014 Comput. Geosci. 27, No. 6, 1133-1144 (2023). MSC: 49K15 76M99 76S05 65M20 86A05 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hartmann, Stefan; Dileep, Pranav Kumar; Grafenhorst, Matthias A time-adaptive FE\(^2\)-approach within the method of vertical lines. (English) Zbl 1538.74135 Comput. Math. Appl. 151, 222-243 (2023). MSC: 74S05 74Q05 74E30 74S20 74Q15 74A60 × Cite Format Result Cite Review PDF Full Text: DOI
Takagi, Shinichi; Wakimura, Hiro; Fu, Lin; Xiao, Feng High-order low-dissipation shock-resolving TENO-THINC schemes for hyperbolic conservation laws. (English) Zbl 1529.65019 Commun. Comput. Phys. 34, No. 4, 1043-1078 (2023). MSC: 65M06 65M20 35L65 76M20 76N99 × Cite Format Result Cite Review PDF Full Text: DOI
Agud Albesa, Lucía; Boix García, Macarena; Pla Ferrando, M. Leonor; Cardona Navarrete, Salvador Cayetano A study about the solution of convection-diffusion-reaction equation with Danckwerts boundary conditions by analytical, method of lines and Crank-Nicholson techniques. (English) Zbl 1538.65227 Math. Methods Appl. Sci. 46, No. 2, 2133-2164 (2023). MSC: 65M06 65M20 65N06 65M22 65M12 68W25 35K57 35Q79 42A16 35A09 35P30 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Xianyi; Hasan, Md Mahmudul On the stability of explicit finite difference methods for advection-diffusion equations. (English) Zbl 1540.65346 Numer. Methods Partial Differ. Equations 39, No. 1, 421-446 (2023). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65M06 65N06 65N40 65L06 65L20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jing-Run; E, Weinan; Luo, Yi-Xin The random feature method for time-dependent problems. (English) Zbl 1527.65084 East Asian J. Appl. Math. 13, No. 3, 435-463 (2023). MSC: 65M20 65M55 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buvoli, Tommaso; Southworth, Ben S. Additive polynomial time integrators. I: Framework and fully implicit-explicit collocation methods. (English) Zbl 1537.65081 SIAM J. Sci. Comput. 45, No. 6, A2945-A2972 (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 65L05 65L20 65M20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sockwell, K. Chad; Bochev, Pavel; Peterson, Kara; Kuberry, Paul Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. (English) Zbl 1535.65177 Numer. Methods Partial Differ. Equations 39, No. 5, 3572-3593 (2023). MSC: 65M55 65M20 65N06 65N30 65L06 65M12 86A05 86A10 86A08 × Cite Format Result Cite Review PDF Full Text: DOI
Galindo-Olarte, Andrés; Huang, Juntao; Ryan, Jennifer; Cheng, Yingda Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. (English) Zbl 1533.65162 BIT 63, No. 4, Paper No. 52, 34 p. (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M60 65M20 65L06 65M12 65M15 82D10 78A25 35Q83 35Q60 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salman, Amer M.; Mohd, Mohd Hafiz; Muhammad, Ahmed A novel approach to investigate the stability analysis and the dynamics of reaction-diffusion SVIR epidemic model. (English) Zbl 1528.35214 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107517, 17 p. (2023). MSC: 35Q92 92C60 65M20 65N06 35P15 35D35 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Lundquist, Tomas; Malan, Arnaud G.; Nordström, Jan A method-of-lines framework for energy stable arbitrary Lagrangian-Eulerian methods. (English) Zbl 1529.65043 SIAM J. Numer. Anal. 61, No. 5, 2327-2351 (2023). MSC: 65M20 65L06 65M12 65N50 35R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Epifanov, A. V.; Tsybulin, V. G. Mathematical model of the ideal distribution of related species in a nonhogeneous environment. (Russian. English summary) Zbl 1538.35396 Vladikavkaz. Mat. Zh. 25, No. 2, 78-88 (2023). MSC: 35Q92 35B36 65M20 92C15 92D25 35K51 35K57 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Frasca-Caccia, Gianluca; Singh, Pranav Optimal parameters for numerical solvers of PDEs. (English) Zbl 1522.90217 J. Sci. Comput. 97, No. 1, Paper No. 11, 28 p. (2023). MSC: 90C31 65M06 65M20 65L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brummelhuis, Raymond Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation. (English) Zbl 1531.41002 Adv. Comput. Math. 49, No. 5, Paper No. 69, 33 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A25 65D12 65M12 65M15 65M20 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Pemba, Drainne Jualix Bambi; Ondami, Bienvenu Finite volume approximation of a class of two-dimensional parabolic equations with discontinuous and highly oscillating coefficients. (English) Zbl 1538.65305 Int. J. Numer. Methods Appl. 23, No. 1, 51-65 (2023). MSC: 65M08 65M20 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Almatrafi, M. B. Abundant traveling wave and numerical solutions for Novikov-Veselov system with their stability and accuracy. (English) Zbl 1517.65100 Appl. Anal. 102, No. 8, 2389-2402 (2023). MSC: 65N06 65N40 65N45 65N50 35A24 35B35 35Q51 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Conte, Dajana; Frasca-Caccia, Gianluca Exponentially fitted methods with a local energy conservation law. (English) Zbl 1522.65161 Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023). MSC: 65M20 65M06 65P10 35Q55 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Lu; Xu, Kuan Solving time-dependent PDEs with the ultraspherical spectral method. (English) Zbl 07722590 J. Sci. Comput. 96, No. 3, Paper No. 70, 34 p. (2023). MSC: 65Mxx 65L04 65M12 65M15 65M20 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guglielmi, Nicola; Manucci, Mattia Model order reduction in contour integral methods for parametric PDEs. (English) Zbl 1515.65234 SIAM J. Sci. Comput. 45, No. 4, A1711-A1740 (2023). MSC: 65M20 65J10 65L05 65M99 65R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaumont-Frelet, T. Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation. (English) Zbl 07713601 SIAM J. Sci. Comput. 45, No. 4, A1591-A1620 (2023). MSC: 65-XX 35L05 65M15 65M20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van der Sande, Kiera; Flyer, Natasha; Fornberg, Bengt Accelerating explicit time-stepping with spatially variable time steps through machine learning. (English) Zbl 07708332 J. Sci. Comput. 96, No. 1, Paper No. 31, 18 p. (2023). MSC: 65M70 65M50 65M06 65N35 65M20 68Q32 68T07 65D12 65M12 05C05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Sebastiano, Boscarino High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312 J. Sci. Comput. 96, No. 1, Paper No. 11, 31 p. (2023). MSC: 65-XX 35G25 65M06 65M20 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne The bulk-surface virtual element method for reaction-diffusion PDEs: analysis and applications. (English) Zbl 07708276 Commun. Comput. Phys. 33, No. 3, 733-763 (2023). MSC: 65-XX 35K57 65M12 65M15 65M20 65M50 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhi; Ge, Yongbin; Sun, Hai-Wei High-order compact finite difference methods for solving the high-dimensional Helmholtz equations. (English) Zbl 1514.65152 Comput. Methods Appl. Math. 23, No. 2, 491-516 (2023). MSC: 65N06 65N12 65N40 × Cite Format Result Cite Review PDF Full Text: DOI
Botchev, M. A. Coarse grid corrections in Krylov subspace evaluations of the matrix exponential. (English) Zbl 1517.65033 SIAM J. Sci. Comput. 45, No. 3, S421-S438 (2023). MSC: 65F60 65M20 65M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Versbach, Lea Miko; Linders, Viktor; Klöfkorn, Robert; Birken, Philipp Theoretical and practical aspects of space-time DG-SEM implementations. (English) Zbl 1517.65092 SMAI J. Comput. Math. 9, 61-93 (2023). MSC: 65M60 65M70 65M20 65L06 65F08 65F10 76N15 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Sterck, H.; Falgout, R. D.; Krzysik, O. A.; Schroder, J. B. Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection. (English) Zbl 1515.65233 J. Sci. Comput. 96, No. 1, Paper No. 1, 31 p. (2023). MSC: 65M20 65F10 65M22 65M55 35L03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klein, Simon-Christian Stabilizing discontinuous Galerkin methods using Dafermos’ entropy rate criterion. I: One-dimensional conservation laws. (English) Zbl 07698861 J. Sci. Comput. 95, No. 2, Paper No. 55, 37 p. (2023). MSC: 65-XX 35L03 35L45 35L65 35L67 65M08 65M12 65M20 76L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng; Cheung, Ka Chun; Ling, Leevan A kernel-based least-squares collocation method for surface diffusion. (English) Zbl 1531.65264 SIAM J. Numer. Anal. 61, No. 3, 1386-1404 (2023). MSC: 65N35 65N40 65N30 65D12 65N12 41A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ziyaee, Fahimeh; Tari, Abolfazl An LN-stable method to solve the fractional partial integro-differential equations. (English) Zbl 1524.65992 J. Math. Model. 11, No. 1, 133-156 (2023). MSC: 65R20 45D05 45K05 35R09 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Qihang; Wang, Jindi; Zhang, Luming A new third-order energy stable technique and error estimate for the extended Fisher-Kolmogorov equation. (English) Zbl 1538.65273 Comput. Math. Appl. 142, 198-207 (2023). MSC: 65M06 65N06 65M12 65M15 65M20 35B35 35Q92 92C15 35B25 35B36 × Cite Format Result Cite Review PDF Full Text: DOI