Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations

Συγγραφείς: Philipp Öffner, Louis Petri, Davide Torlo

Πηγή: Applied Numerical Mathematics. 212:110-134

Θεματικοί όροι: Method of lines for initial value and initial-boundary value problems involving PDEs, advection-diffusion, implicit-explicit methods, deferred correction, ADER, advection-dispersion, 65M06, 65M20, 65L05, 65L06, 65L07, Numerical Analysis (math.NA), stability, Numerical methods for initial value problems involving ordinary differential equations, Advection-diffusion, Advection-dispersion, Deferred correction, Implicit-explicit methods, Stability, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.18626
https://hdl.handle.net/11573/1747980
https://doi.org/10.1016/j.apnum.2024.12.013

Modified TASE Runge–Kutta Methods for Integrating Stiff Differential Equations: Modified TASE Runge-Kutta methods for integrating stiff differential equations

Συγγραφείς: Lidia Aceto, Dajana Conte, Giovanni Pagano

Συνεισφορές: Aceto, Lidia, Conte, Dajana, Pagano, Giovanni

Πηγή: SIAM Journal on Scientific Computing. 47:A1652-A1680

Θεματικοί όροι: TASE preconditioner, Method of lines for initial value and initial-boundary value problems involving PDEs, Runge-Kutta methods, numerical methods for PDEs, TASE preconditioners, Runge–Kutta methods, stiff problems, W-methods, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical methods for PDE, Numerical methods for stiff equations, Runge-Kutta method, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for ordinary differential equations, stiff problem

Περιγραφή αρχείου: application/xml; ELETTRONICO

Σύνδεσμος πρόσβασης: https://zbmath.org/8037172
https://doi.org/10.1137/24m1667336
https://hdl.handle.net/11588/1001148
https://epubs.siam.org/doi/10.1137/24M1667336
https://hdl.handle.net/11588/1001148
https://doi.org/10.1137/24M1667336
https://epubs.siam.org/doi/10.1137/24M1667336

Computational spectral method for solving two-dimensional Riesz multi-term time-fractional diffusion equation

Συγγραφείς: Zakaria, Mouhssine, Moujahid, Abdelaziz

Πηγή: Gulf Journal of Mathematics. 19:181-199

Θεματικοί όροι: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), stability and error estimates, fractional diffusion equation(FDE), Fractional derivatives and integrals, Galerkin spectral element method (G-SEM), Legendre polynomials, Caputo and Riesz derivative, Stability and convergence of numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8031458
https://doi.org/10.56947/gjom.v19i2.2676

An improved fractional predictor-corrector method for nonlinear fractional differential equations with initial singularity

Συγγραφείς: Jianfei Huang, Junlan Lv, Sadia Arshad

Πηγή: Fractional Calculus and Applied Analysis. 28:453-472

Θεματικοί όροι: initial singularity, variable transformation, predictor-corrector method, error estimate, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, nonlinear fractional differential equation, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian: Stability theory of TASE-Runge-Kutta methods with inexact Jacobian

Συγγραφείς: Conte Dajana, Martin-Vaquero Jesus, Pagano Giovanni, Paternoster Beatrice

Πηγή: SIAM Journal on Scientific Computing. 46:A3628-A3657

Θεματικοί όροι: Runge-Kutta methods, TASE operators, stiff problems, stability with inexact Jacobian, unconditional stability, field of values, Numerical Analysis (math.NA), Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical methods for stiff equations, FOS: Mathematics, 65L04, 65L06, 65L07, 65L20, 65M12, 65M20, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.10088
https://zbmath.org/7955197
https://doi.org/10.1137/24m1631869
https://hdl.handle.net/11588/995699
https://epubs.siam.org/doi/10.1137/24M1631869
https://epubs.siam.org/doi/10.1137/24M1631869
https://doi.org/10.1137/24M1631869
https://hdl.handle.net/11386/4889556
https://epubs.siam.org/doi/10.1137/24M1631869
https://hdl.handle.net/11588/995699
https://doi.org/10.1137/24M1631869

Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology

Συγγραφείς: Giacomo Rosilho de Souza, Marcus J. Grote, Simone Pezzuto, Rolf Krause

Πηγή: ESAIM: Mathematical Modelling and Numerical Analysis

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, 65L04, 65L06, 65L10, 65L20, Numerical Analysis (math.NA), electrophysiology, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, local time-stepping, monodomain model, multirate explicit stabilized methods, ionic model, Numerical methods for stiff equations, Multirate explicit stabilized methods, Rush–Larsen, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, Rush-Larsen

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.01745
https://zbmath.org/7971354
https://doi.org/10.1051/m2an/2024030
https://hdl.handle.net/11572/442124
https://www.esaim-m2an.org/articles/m2an/abs/2024/06/m2an230300/m2an230300.html
https://doi.org/10.1051/m2an/2024030

An innovative fourth-order numerical scheme with error analysis for Lane-Emden-Fowler type systems

Συγγραφείς: Sahoo, Nirupam, Singh, Randhir, Ramos, Higinio

Πηγή: Numerical Algorithms. 99:411-439

Θεματικοί όροι: Finite difference and finite volume methods for ordinary differential equations, Lane-Emden-Fowler type equation, consistency, singular boundary value problems, catalytic diffusion reactions, stability, Stability and convergence of numerical methods for ordinary differential equations, Singular perturbations of ordinary differential equations, compact finite difference schemes, convergence analysis

Περιγραφή αρχείου: application/xml

Low-rank exponential integrators for stiff differential Riccati equations

Συγγραφείς: Hao Chen, Alfio Borzì

Πηγή: Advances in Computational Mathematics. 51

Θεματικοί όροι: differential Riccati equation, exponential integrator, Linear-quadratic optimal control problems, Numerical methods for low-rank matrix approximation, matrix compression, error estimate, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for ordinary differential equations, low-rank

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8028903
https://doi.org/10.1007/s10444-025-10228-w

Probabilistic Error Estimate for Numerical Discretization of High-Index Saddle Dynamics with Inaccurate Models: Probabilistic error estimate for numerical discretization of high-index saddle dynamics with inaccurate models

Συγγραφείς: Zhang, Lei, Zhang, Pingwen, Zheng, Xiangcheng

Πηγή: Annals of Applied Mathematics. 40:1-20

Θεματικοί όροι: saddle point, saddle dynamics, solution landscape, Gaussian processes, Simulation of dynamical systems, Gaussian process, Stability and convergence of numerical methods for ordinary differential equations, probabilistic error estimate

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7966521
https://doi.org/10.4208/aam.oa-2023-0030

Delay-dependent stability of a class of Runge-Kutta methods for neutral differential equations

Συγγραφείς: Wang, Zheng, Cong, Yuhao

Πηγή: Numerical Algorithms. 98:1643-1666

Θεματικοί όροι: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, delay-dependent stability, argument principle, TASE-RK, Numerical methods for functional-differential equations, TASE-W, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, neutral delay differential equation, Neutral functional-differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8015092
https://doi.org/10.1007/s11075-024-01846-4

A high-order compact ADI scheme for two-dimensional nonlinear Schrödinger equation with time fractional derivative

Συγγραφείς: Yuting Zhang, Xinlong Feng, Lingzhi Qian

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: Caputo fractional derivative, convergence, compact ADI scheme, Spectral, collocation and related methods for boundary value problems involving PDEs, \(L2\)-\(1_\sigma\) formula, nonlinear Schrödinger equation, Stability and convergence of numerical methods for ordinary differential equations, Fractional partial differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8034167
https://doi.org/10.1007/s40314-025-03127-9

Error estimates of general linear and spectral Galerkin methods for the fractional diffusion equation with spectral fractional Laplacian

Συγγραφείς: Yanming Zhang, Yu Li, Yuexin Yu, Wansheng Wang

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: Boundary value problems for PDEs with pseudodifferential operators, fractional diffusion equation, spectral fractional Laplacian, spectral Galerkin method, convergence, Spectral, collocation and related methods for boundary value problems involving PDEs, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for ordinary differential equations, Fractional partial differential equations, general linear method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Περιγραφή αρχείου: application/xml

Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations

Συγγραφείς: Waleed Adel, Hari Mohan Srivastava, Mohammad Izadi, Amr Elsonbaty, A. El-Mesady

Πηγή: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-32 (2024)

Θεματικοί όροι: QA299.6-433, Liouville-Caputo fractional derivative, Narayana polynomials, quasilinearization method, Epidemiology, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Collocation points, Stability analysis, Quasilinearization method, Equilibrium points, Fractional ordinary differential equations, stability analysis, 01 natural sciences, Liouville–Caputo fractional derivative, Qualitative investigation and simulation of ordinary differential equation models, equilibrium points, collocation points, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://doaj.org/article/8915e0e10bf6441cbb79966777389771

A new algorithm of boundary value problems based on improved wavelet basis and the reproducing kernel theory

Συγγραφείς: Ruimin Zhang, Yingzhen Lin

Πηγή: Mathematical Methods in the Applied Sciences. 47:47-57

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), BVPs, convergence, Numerical methods for wavelets, Legendre polynomials, improved wavelet orthonormal basis, stability, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences

Περιγραφή αρχείου: application/xml

Strong convergence rate of implicit Euler scheme to a CIR model with delay

Συγγραφείς: Tan, Li, Wang, Shengrong, Luo, Liangqing

Πηγή: Applied Numerical Mathematics. 190:15-26

Θεματικοί όροι: Numerical solutions to stochastic differential and integral equations, strong convergence, delay, implicit Euler scheme, CIR model, Stability and convergence of numerical methods for ordinary differential equations, Computational methods for stochastic equations (aspects of stochastic analysis), Interest rates, asset pricing, etc. (stochastic models), Stochastic ordinary differential equations (aspects of stochastic analysis)

Περιγραφή αρχείου: application/xml

Modeling the effects of media information and saturated treatment on malaria disease with NSFD method

Συγγραφείς: Tapan Sarkar, Pankaj Biswas, Prashant K. Srivastava

Πηγή: International Journal of Biomathematics. 18

Θεματικοί όροι: consistency, Epidemiology, backward bifurcation, limited treatment, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, information, 3. Good health, Error bounds for initial value and initial-boundary value problems involving PDEs, elementary stability, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Bifurcations of limit cycles and periodic orbits in dynamical systems, 0101 mathematics, non-standard finite difference scheme, Stability and convergence of numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8036591
https://doi.org/10.1142/s1793524524500013

Relaxation RKN-type integrators that preserve two invariants for second-order (oscillatory) systems

Συγγραφείς: Liu, Kai, Wang, Bin, Fu, Ting

Πηγή: Journal of Computational and Applied Mathematics. 457:116300

Θεματικοί όροι: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, invariants preservation, second-order system, oscillatory systems, ARKN integrators, Numerical methods for Hamiltonian systems including symplectic integrators, relaxation technique, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, oscillation-preserving

Περιγραφή αρχείου: application/xml

Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term

Συγγραφείς: Sanjay Ku Sahoo, Vikas Gupta

Πηγή: Mathematical Methods in the Applied Sciences. 45:4876-4898

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, Richardson extrapolation, finite difference, convection-diffusion, discontinuous coefficients, uniform convergence, 01 natural sciences, interior layer, Mesh generation, refinement, and adaptive methods for ordinary differential equations, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations, piece-wise uniform mesh

Περιγραφή αρχείου: application/xml

A new stable collocation method for solving a class of nonlinear fractional delay differential equations

Συγγραφείς: Lei Shi, Zhong Chen, Xiaohua Ding, Qiang Ma

Πηγή: Numerical Algorithms. 85:1123-1153

Θεματικοί όροι: nonlinear differential equations, \( \varepsilon \)-approximate solutions, Newton's iterative formula, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, 4. Education, fractional delay differential equations, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, Functional-differential equations with fractional derivatives, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007/s11075-019-00858-9.pdf
https://zbmath.org/7290711
https://doi.org/10.1007/s11075-019-00858-9
https://link.springer.com/content/pdf/10.1007/s11075-019-00858-9.pdf
https://dblp.uni-trier.de/db/journals/na/na85.html#ShiCDM20
https://link.springer.com/article/10.1007/s11075-019-00858-9

Convergence Analysis for a Three-Level Finite Difference Scheme of a Second Order Nonlinear ODE Blow-Up Problem: Convergence analysis for a three-level finite difference scheme of a second order nonlinear ODE blow-up problem

Συγγραφείς: Chien-Hong Cho, Chun-Yi Liu

Πηγή: East Asian Journal on Applied Mathematics. 7:679-696

Θεματικοί όροι: Finite difference and finite volume methods for ordinary differential equations, adaptively-defined grids, convergence, Mesh generation, refinement, and adaptive methods for ordinary differential equations, numerical blow-up time, Nonlinear ordinary differential equations and systems, 0101 mathematics, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, blow-up, finite difference method, nonlinear ODE

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/journals/east-asian-journal-on-applied-mathematics/article/convergence-analysis-for-a-threelevel-finite-difference-scheme-of-a-second-order-nonlinear-ode-blowup-problem/78EFB1E1E669F01B2912719C2A006828