Convergence of a discretization method for integro-differential equations

DOI10.1007/BF01419532zbMath0343.65052OpenAlexW1974051064MaRDI QIDQ1232289

Peter Linz

Publication date: 1975

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

Full work available at URL: https://eudml.org/doc/132364

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (12)

New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization ⋮ Hybrid collocation methods for Fredholm integral equations with weakly singular kernels ⋮ Moments preserving finite volume approximations for the non-linear collisional fragmentation model ⋮ Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation ⋮ Population balance equation for collisional breakage: a new numerical solution scheme and its convergence ⋮ Convergence analysis of sectional methods for solving aggregation population balance equations: the fixed pivot technique ⋮ Development of a mass conserving discretization technique for breakage problems and its convergence analysis ⋮ Two moments consistent discrete formulation for binary breakage population balance equation and its convergence ⋮ New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis ⋮ Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation ⋮ Convergence of the cell average technique for Smoluchowski coagulation equation ⋮ Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations

Cites Work

• Numerical integration of a nonlinear, singular integro-partial differential equation
• Numerical treatment of integro-differential equations with a certain maximum property
• Linear multistep methods for the numerical solution of volterra functional differential equations^†
• Linear Multistep Methods for Volterra Integro-Differential Equations
• One-Step Methods for the Numerical Solution of Volterra Functional Differential Equations
• On a nonlinear integrodifferential equation

This page was built for publication: Convergence of a discretization method for integro-differential equations