Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models-Reference-Cited by-同舟云学术

Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models

Published:2023-09-28 Issue:5 Volume:61 Page:2157-2181
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Liao Hong-lin¹^ORCID,Liu Nan²,Lyu Pin³^ORCID

Affiliation:

1. School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China; Key Laboratory of Mathematical Modeling and High Performance Computing of Air Vehicles (NUAA), MIIT, Nanjing, 211106, China.

2. School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China.

3. Corresponding author. School of Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China.

Funder

Guanghua Talent Project of SWUFE

National Natural Science Foundation of China

National Science Foundation of Sichuan Province

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference33 articles.

1. Maximum principle for certain generalized time and space fractional diffusion equations

2. Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel

3. Collocation Methods for Volterra Integral and Related Functional Differential Equations

4. Convolution quadrature time discretization of fractional diffusion-wave equations

5. A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties

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