Boundedness of solutions of difference equations and application to numerical solution of Volterra integral equations of the second kind

DOI10.1016/0022-247X(86)90018-1zbMath0625.65138MaRDI QIDQ579911

V. L. Bakke, Zdzisław Jackiewicz

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitybounded solutionsVolterra integral equations of the second kinddifference equations of Poincaré typemultistep quadrature methodsvon Neumann polynomial

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Additive difference equations (39A10) Volterra integral equations (45D05)

Related Items (4)

Stability analysis of reducible quadrature methods for Volterra integro-differential equations ⋮ Asyptotics for linear difference equations I:basic theory ⋮ A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels ⋮ Stability and asymptoticity of Volterra difference equations: a progress report

Cites Work

• On the stability of multistep formulas for Volterra integral equations of the second kind
• Stability of reducible quadrature methods for Volterra integral equations of the second kind
• A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
• A-stable linear multistep methods for Volterra integro-differential equations
• Stability of numerical methods for Volterra integro-differential equations
• On the Relation between the Repetition Factor and Numerical Stability of Direct Quadrature Methods for Second Kind Volterra Integral Equations
• Convergence and stability in the numerical integration of ordinary differential equations
• On the Numerical Stability of Reducible Quadrature Methods for Second Kind Volterra Integral Equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
• Asymptotic Behavior of Solutions of Ordinary Difference Equations
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