Multistep Runge-Kutta methods for Volterra integro-differential equations

DOI10.1016/j.cam.2023.115384zbMath1525.65142OpenAlexW4380151436MaRDI QIDQ6073180

Cheng-Ming Huang, Jiao Wen

Publication date: 15 September 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115384

zbMATH Keywords

stabilityconvergencemultistep Runge-Kutta methodsVolterra integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Volterra integral equations (45D05)

Cites Work

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• Block boundary value methods for solving Volterra integral and integro-differential equations
• Dissipativity of Runge-Kutta methods for Volterra functional differential equations
• On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations
• Multistep collocation methods for Volterra integro-differential equations
• Stability analysis of the de Hoog and Weiss implicit Runge-Kutta methods for the Volterra integral and integrodifferential equations
• Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations
• Stability of linear multistep methods for delay integro-differential equations
• Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays
• Natural continuous extension of Runge-Kutta methods for Volterra integrodiffential equations
• Runge-Kutta theory for Volterra integrodifferential equations
• Stability of collocation methods for Volterra integro-differential equations
• A-stable linear multistep methods for Volterra integro-differential equations
• Efficient general linear methods for a class of Volterra integro-differential equations
• Stability of numerical methods for Volterra integro-differential equations
• Highly stable multistep Runge-Kutta methods for Volterra integral equations
• Stability analysis of Runge-Kutta methods for Volterra integro-differential equations
• An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays
• Convergence rates of moving mesh methods for moving boundary partial integro-differential equations from regime-switching jump-diffusion Asian option pricing
• On the numerical stability of the general linear methods for Volterra integro-differential equations
• Numerical solution of Volterra integro-differential equations by superimplicit multistep collocation methods
• Dissipativity of \(\theta\)-methods for nonlinear Volterra delay-integro-differential equations
• Natural Volterra Runge-Kutta methods
• Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations
• Blowup of Volterra Integro-Differential Equations and Applications to Semi-Linear Volterra Diffusion Equations
• Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
• Convergence and stability of the semi-implicit Euler method for linear stochastic delay integro-differential equations
• Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations
• Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind
• The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Collocation methods for integro-differential algebraic equations with index 1
• On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance
• On the numerical solution of nonlinear Volterra integro-differential equations
• Stability of Numerical Methods for Volterra Integro‐Differential Equations of Convolution Type

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