Stability of backward differentiation formulas for Volterra integro-differential equations

DOI10.1016/S0377-0427(99)00123-5zbMath0949.65139MaRDI QIDQ1971854

Antonia Vecchio

Publication date: 12 December 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical stabilitybackward differentiation methodssystem of Volterra integro-differential equationslinear convolution kernel

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Systems of nonsingular linear integral equations (45F05)

Related Items (3)

Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems ⋮ On the asymptotic stability of linear Volterra difference equations of convolution type ⋮ Stability for a class of difference equations

Cites Work

• A-stable linear multistep methods for Volterra integro-differential equations
• Stability of numerical methods for Volterra integro-differential equations
• Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
• Stability of difference Volterra equations: Direct Lyapunov method and numerical procedure
• On the Stability of Linear Multistep Methods for Volterra Convolution Equations
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type
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