Nonlinear Volterra integro-differential equations -- stability and numerical stability of \(\theta\)-methods

DOI10.1216/jiea/1181074246zbMath0944.65150OpenAlexW2076520812MaRDI QIDQ1286346

J. A. Roberts, Neville J. Ford, Christopher T. H. Baker

Publication date: 14 September 2000

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL10-4/CONT10-4/CONT10-4.html

zbMATH Keywords

numerical examplesLyapunov stabilitynumerical stabilityquadrature rulestheta methodnonlinear Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05)

Related Items

Numerical modelling of qualitative behaviour of solutions to convolution integral equations ⋮ Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems ⋮ BIFURCATIONS IN NUMERICAL METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations ⋮ A perspective on the numerical treatment of Volterra equations

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