Discretization of Volterra integral equations of the first kind. II

DOI10.1007/BF02042940zbMath0366.65058OpenAlexW2088977327MaRDI QIDQ1241980

Hermann Brunner

Publication date: 1978

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132542

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (13)

Product integration rules for Volterra integral equations of the first kind ⋮ Linear multi-step methods for first kind first order volterra integro-differential equations ⋮ Discrete superconvergence of collocation solutions for first-kind Volterra integral equations ⋮ Reducible quadrature methods for Volterra integral equations of the first kind ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Open problems in the discretization of volterra integral equations ⋮ Continuous collocation approximations to solutions of first kind Volterra equations ⋮ Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation ⋮ Superconvergence of collocation methods for Volterra integral equations of the first kind ⋮ A note on collocation methods for Volterra integral equations of the first kind ⋮ \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind ⋮ The dicretization of neutral functional integro-differential equations by collocation methods ⋮ NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS

Cites Work

• C-polynomials for rational approximation to the exponential function
• On the solution of Volterra integral equations of the first kind
• Quadrature Rule Methods for Volterra Integral Equations of the First Kind
• Solving Nonlinear Second Kind Volterra Equations by Modified Increment Methods
• An approximation property of certain nonlinear Volterra integral operators
• Discretization of Volterra Integral Equations of the First Kind
• Stability Regions in the Numerical Treatment of Volterra Integral Equations
• Numerical methods for Volterra integral equations of the first kind
• A class ofA-stable methods
• Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
• A-stable block implicit one-step methods
• High Order Methods for Volterra Integral Equations of the First Kind
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Discretization of Volterra integral equations of the first kind. II