Výsledky vyhledávání - "Numerical methods for initial value problems involving ordinary differential equations"

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

Autoři: Philipp Öffner Louis Petri Davide Torlo

Zdroj: Applied Numerical Mathematics. 212:110-134

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2404.18626
https://hdl.handle.net/11573/1747980
https://doi.org/10.1016/j.apnum.2024.12.013

Step-by-step time discrete Physics-Informed Neural Networks with application to a sustainability PDE model: Step-by-step time discrete physics-informed neural networks with application to a sustainability PDE model

Autoři: Valentino C. Pagano G. Conte D. a další

Zdroj: Mathematics and Computers in Simulation. 230:541-558

Témata: Scientific machine learning, deep artificial neural networks, scientific machine learning, Stiff problems, Nonlinear sustainability PDE model, Implicit Euler and Crank–Nicolson methods, Deep artificial neural networks, Time discrete PINNs, Dye-sensitized solar cells, Numerical methods for initial value problems involving ordinary differential equations, nonlinear sustainability PDE model, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, time discrete PINNs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, implicit Euler and Crank-Nicolson methods, Numerical investigation of stability of solutions to ordinary differential equations, dye-sensitized solar cells, stiff problems, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: https://hdl.handle.net/11588/995692
https://www.sciencedirect.com/science/article/pii/S0378475424004403

Numerical study of the fractional fourth-order evolution problems with weak singularity arises in chemical systems

Autoři: Taneja, Komal Chawla, Reetika Kumar, Devendra a další

Zdroj: Journal of Mathematical Chemistry. 63:1287-1311

Témata: Numerical solution of boundary value problems involving ordinary differential equations, Fractional derivatives and integrals, graded mesh, time-fractional fourth order equation, stability and convergence, Numerical methods for initial value problems involving ordinary differential equations, evolution problems, quintic trigonometric B-spline, Caputo derivative, Numerical computation using splines

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035161
https://doi.org/10.1007/s10910-025-01718-9

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

Autoři: Jianfei Huang Junlan Lv Sadia Arshad

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

Témata: 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

Popis souboru: application/xml

Minimal $ \ell^2 $ norm discrete multiplier method: Minimal \(\ell^2\) norm discrete multiplier method

Autoři: Schulz, Erick Wan, Andy T. S.

Zdroj: Journal of Computational Dynamics. 12:212-238

Témata: Finite difference and finite volume methods for ordinary differential equations, Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, Numerical Analysis, Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics), Simulation of dynamical systems, Numerical Analysis (math.NA), Dynamical Systems (math.DS), 65L05, 65L12, 65P10, 65Z05, 37M05, 37M15, 37N20, Numerical methods for Hamiltonian systems including symplectic integrators, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, dynamical system, Dynamical Systems, conservative integrator, pseudo inverse, Applications to the sciences, FOS: Mathematics, discrete multiplier method, Schwarzschild geodesic, conserved quantity, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2208.12355
https://zbmath.org/7978280
https://doi.org/10.3934/jcd.2024029

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

Autoři: Conte Dajana Martin-Vaquero Jesus Pagano Giovanni a další

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

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

Error analysis of a high-order fully discrete method for two-dimensional time-fractional convection-diffusion equations exhibiting weak initial singularity

Autoři: Singh, Anshima Kumar, Sunil

Zdroj: Numerical Algorithms. 99:251-284

Témata: ADI scheme, error bound, high order, Numerical Analysis (math.NA), Numerical methods for initial value problems involving ordinary differential equations, fitted mesh, singularity, Caputo derivative, time-fractional convection-diffusion, Fractional derivatives and integrals, two-dimensional problems, FOS: Mathematics, Mathematics - Numerical Analysis, 65M06, 65M12, 65M70

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2308.08971

Stability and numerical solutions for second-order ordinary differential equations with application in mechanical systems

Autoři: Ali Turab Andrés Montoyo Josué-Antonio Nescolarde-Selva a další

Přispěvatelé: Ali Turab Andrés Montoyo Josué-Antonio Nescolarde-Selva a další

Zdroj: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Témata: Differential equations, Applications of boundary value problems involving ordinary differential equations, Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.), numerical computations, applications, differential equations, Stability analysis, Stability of solutions to ordinary differential equations, stability analysis, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Solutions, Applications, 0103 physical sciences, Numerical computations, 0101 mathematics, solutions

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/10045/144906
https://zbmath.org/8035095
https://doi.org/10.1007/s12190-024-02175-4

An innovative Fibonacci wavelet collocation method for the numerical approximation of Emden-Fowler equations

Autoři: Manohara G Kumbinarasaiah S

Zdroj: Applied Numerical Mathematics. 201:347-369

Témata: collocation method, Emden-Fowler equations, operational matrix of integration, Fibonacci wavelet, Numerical methods for initial value problems involving ordinary differential equations

Popis souboru: application/xml

A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems

Autoři: Tian, Liutao Yang, Shuo Tian, Hongjiong

Zdroj: Calcolo. 62

Témata: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, continuous Galerkin method, initial value problem, Numerical methods for initial value problems involving ordinary differential equations, a posteriori error estimation, \textit{hp}-adaptive refinement procedure, Error bounds for numerical methods for ordinary differential equations

Popis souboru: application/xml

Application of Spectral Collocation Method to Dynamic Comprehensive Stability Analysis of Fractional Diffusion-Reaction System: Application of spectral collocation method to dynamic comprehensive stability analysis of fractional diffusion-reaction system

Autoři: Li, Shuo Khan, Sami Ullah Ismail, Emad A. A. a další

Zdroj: International Journal of Theoretical Physics. 64

Témata: Fractional derivatives and integrals, fractional diffusion-reaction equations, stability and quantitative analysis, spectral method, fractional calculus, Numerical methods for initial value problems involving ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8032276
https://doi.org/10.1007/s10773-025-05961-3

Investigation of the wavelet method impact on the mathematical model of global warming effects on marine ecosystems

Autoři: S. Kumbinarasaiah R. Yeshwanth

Zdroj: Journal of Applied Mathematics and Computing. 70:4601-4627

Témata: Caputo fractional derivative, collocation method, Numerical methods for wavelets, greenhouse gases, Haar wavelet, Fractional ordinary differential equations, operational matrix of integration, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, global warming, Numerical methods for initial value problems involving ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035075
https://doi.org/10.1007/s12190-024-02147-8

Computational and analytical analysis of integral-differential equations for modeling avoidance learning behavior

Autoři: Ali Turab Andrés Montoyo Josué-Antonio Nescolarde-Selva a další

Přispěvatelé: Ali Turab Andrés Montoyo Josué-Antonio Nescolarde-Selva a další

Zdroj: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Témata: 0301 basic medicine, 0303 health sciences, Applications of boundary value problems involving ordinary differential equations, Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.), numerical computations, Avoidance behavior, avoidance behavior, Numerical methods for initial value problems involving ordinary differential equations, Solutions, 03 medical and health sciences, Fixed-point theorems, integral-differential equations, Integral-differential equations, Numerical computations, solutions

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/10045/143517
https://zbmath.org/8035067
https://doi.org/10.1007/s12190-024-02130-3

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

Autoři: Wang, Zheng Cong, Yuhao

Zdroj: Numerical Algorithms. 98:1643-1666

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8015092
https://doi.org/10.1007/s11075-024-01846-4

Developing a continuous SIR epidemic model and its discrete version using Euler method: Analyzing dynamics with analytical and numerical methods: Developing a continuous SIR epidemic model and its discrete version using Euler method: analyzing dynamics with analytical and numerical methods

Autoři: Fatemeh Sahaminejad Nemat Nyamoradi Zohreh Eskandari

Zdroj: Mathematical Methods in the Applied Sciences. 47:10320-10333

Témata: 0301 basic medicine, analytical methods, continuous and discrete-time models, 0303 health sciences, 03 medical and health sciences, Epidemiology, numerical methods, Euler method, SIR epidemic model, Numerical methods for initial value problems involving ordinary differential equations, Dynamical systems in biology, dynamics analysis, 3. Good health

Popis souboru: application/xml

A Generalized Single‐Step Multi‐Stage Time Integration Formulation and Novel Designs With Improved Stability and Accuracy: A generalized single-step multi-stage time integration formulation and novel designs with improved stability and accuracy

Autoři: Yazhou Wang Nikolaus A. Adams Kumar K. Tamma

Zdroj: International Journal for Numerical Methods in Engineering. 126

Témata: Finite difference methods applied to problems in solid mechanics, RESEARCH ARTICLE, consistency analysis, local truncation error, multi-stage time integration algorithms, order reduction, structural dynamics, Numerical methods for initial value problems involving ordinary differential equations, ddc

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://mediatum.ub.tum.de/1780394

A high-order multi-resolution wavelet method for nonlinear systems of differential equations

Autoři: Muhammad Ahsan Weidong Lei Martin Bohner a další

Zdroj: Mathematics and Computers in Simulation. 215:543-559

Témata: collocation method, KdV equations (Korteweg-de Vries equations), Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for wavelets, H-HWCM, Haar wavelet, system of nonlinear differential equations, quasi-linearization technique, Numerical methods for initial value problems involving ordinary differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations

Autoři: Wu, Mengling Wang, Zhi Ge, Yongbin

Zdroj: Computational Geosciences. 27:687-705

Témata: Finite difference methods for boundary value problems involving PDEs, fourth-order compact scheme, high-dimensional nonlinear wave equation, variable coefficient, Finite difference methods for initial value and initial-boundary value problems involving PDEs, local one-dimensional, Wave equation, PDEs in connection with fluid mechanics, Numerical methods for initial value problems involving ordinary differential equations

Popis souboru: application/xml

Constructing time integration with controllable errors for constrained mechanical systems

Autoři: Xiaoming Xu Yanghui Chen Jiahui Luo a další

Zdroj: Applied Mathematical Modelling. 118:185-211

Témata: Numerical methods for differential-algebraic equations, 0203 mechanical engineering, generalized constraint forces, Numerical integration, 0103 physical sciences, 02 engineering and technology, differential algebraic equations (DAEs), augmented Lagrangian formulations, symplectic integration, Numerical methods for initial value problems involving ordinary differential equations, Lagrange's equations, Lagrange d'Alembert principle, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7682526
https://doi.org/10.1016/j.apm.2023.01.037

Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators: Computing the Lyapunov operator \(\varphi \)-functions, with an application to matrix-valued exponential integrators

Autoři: Dongping Li Yue Zhang Xiuying Zhang

Zdroj: Applied Numerical Mathematics. 182:330-343

Témata: Numerical computation of matrix exponential and similar matrix functions, \( \varphi \)-functions, G.1.7, G.1.3, modified scaling and squaring method, Numerical Analysis (math.NA), Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, 65F30, 65F10, 65L05, 15A60, Lyapunov operator, FOS: Mathematics, matrix-valued exponential integrators, Mathematics - Numerical Analysis, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2204.12976