Highly stable multistep Runge-Kutta methods for Volterra integral equations
type: Item
instance of: scholarly article
title: Highly stable multistep Runge-Kutta methods for Volterra integral equations
zbMATH Open document ID: 1476.65350
author: Jiao Wen
author: Aiguo Xiao
author: Chengming Huang
published in: Computational and Applied Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 7394213
zbMATH Keywords: multistep Runge-Kutta methods
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: order conditions
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s40314-020-01351-z
OpenAlex ID: W3096618046
cites work: General linear methods with large stability regions for Volterra integral equations
cites work: Stability Regions in the Numerical Treatment of Volterra Integral Equations
cites work: Natural Continuous Extensions of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind and Their Applications
cites work: Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Runge-Kutta Theory for Volterra Integral Equations of the Second Kind
cites work: Q3875281
cites work: Numerical Methods for Ordinary Differential Equations
cites work: A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions
cites work: Natural Volterra Runge-Kutta methods
cites work: Two-step almost collocation methods for Volterra integral equations
cites work: Multistep collocation methods for Volterra integral equations
cites work: Super implicit multistep collocation methods for nonlinear Volterra integral equations
cites work: Order conditions for Volterra Runge-Kutta methods
cites work: Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind
cites work: On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations
cites work: General linear methods for Volterra integral equations
cites work: Highly stable Runge-Kutta methods for Volterra integral equations
cites work: Q3562881
cites work: Q5674335
cites work: The linear barycentric rational quadrature method for auto-convolution Volterra integral equations
cites work: Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels
cites work: Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations
cites work: The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations
cites work: Q3681889
cites work: Pouzet-Runge-Kutta-Chebyshev method for Volterra integral equations of the second kind
cites work: Analysis of collocation methods for generalized auto-convolution Volterra integral equations
cites work: Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels
cites work: Super Implicit Multistep Collocation Methods for Weakly Singular Volterra Integral Equations
DOI: 10.1007/S40314-020-01351-Z
description: scientific article; zbMATH DE number 7394213