The direct numerical solution of a Volterra integral equation arising out of viscoelastic stress in materials

DOI10.1016/0045-7825(81)90114-6zbMath0468.73103OpenAlexW1993981592MaRDI QIDQ1156547

R. F. Cameron, Sean McKee

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90114-6

zbMATH Keywords

class of linear multistep methodstheoretical orders of convergenceviscoelastic stress

Mathematics Subject Classification ID

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

Related Items

Numerical methods for treating problems of viscoelastic isotropic solid deformation, The direct numerical solution of a Volterra integral equation arising out of viscoelastic stress in materials, A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations, Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh, Applications and numerical analysis of partial differential Volterra equations: A brief survey, Discrete schemes for treating hereditary problems of viscoelasticity and applications, Product integration methods for second-kind Abel integral equations

Cites Work

• The direct numerical solution of a Volterra integral equation arising out of viscoelastic stress in materials
• On Transient Thermal Stresses in Viscoelastic Materials With Temperature-Dependent Properties
• The solution of Volterra integral equations of the first kind using inverted differentiation formulae