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Your search keyword '"M. R. Crisci"' showing total 8 results
Start Over Author "M. R. Crisci" Topic collocation method
8 results on '"M. R. Crisci"'

1. Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

Author

M. R. Crisci, Antonia Vecchio, E. Russo, Zdzislaw Jackiewicz, Crisci, M. R., Jackiewicz, Z., Russo, Elvira, and Vecchio, A.

Subjects
Physics::Computational Physics, Numerical Analysis, Collocation, Differential equation, Degenerate energy levels, Mathematical analysis, Computer Science::Numerical Analysis, Integral equation, Volterra integral equation, Mathematics::Numerical Analysis, Computer Science Applications, Theoretical Computer Science, Computational Mathematics, symbols.namesake, Runge–Kutta methods, Computational Theory and Mathematics, Collocation method, symbols, Software, Numerical stability, Mathematics
Abstract

We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

Published
1990
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2. Stability of Collocation Methods for Volterra Integro-Differential Equations

Author

M. R. Crisci, E. Russo, and Antonia Vecchio

Subjects
Numerical Analysis, Collocation, Differential equation, Applied Mathematics, stability analysis, Stability (probability), Volterra integral equation, symbols.namesake, collocation methods, Collocation method, symbols, Orthogonal collocation, Applied mathematics, Volterra integro-differential equation, Mathematics
Published
1992
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3. A family of methods for Abel integral equations of the second kind

Author

M. R. Crisci, Antonia Vecchio, E. Russo, Hermann Brunner, Brunner, H., Crisci, M. R., Russo, Elvira, and Vecchio, A.

Subjects
Abel's theorem, Applied Mathematics, Mathematical analysis, stability, Integral equation, Abelian and tauberian theorems, Computational Mathematics, collocation methods, Collocation method, Abel transform, Abel's identity, Abel equation, Abel's test, Abel integral equations, Mathematics
Abstract

A class of methods depending on some parameters are introduced for the numerical solution of the Abel integral equations of the second kind. Some bounds on the parameters are determined so that the corresponding methods have infinite stability intervals.

Published
1991

4. 𝐴-stability of a class of methods for the numerical integration of certain linear systems of ordinary differential equations

Author

E. Russo and M. R. Crisci

Subjects
Backward differentiation formula, Algebra and Number Theory, Computer Science::Information Retrieval, Applied Mathematics, Numerical methods for ordinary differential equations, Explicit and implicit methods, Exponential integrator, Computational Mathematics, Collocation method, Applied mathematics, Differential algebraic equation, Numerical stability, Mathematics, Numerical partial differential equations
Abstract

This paper is concerned with the analysis of the stability of a class of one-step integration methods, originated by the Lanczos tau method and applicable to particular linear differential systems. It is proved that these methods are A-stable for every order.

Published
1982
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5. On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation

Author

M. R. Crisci, Antonia Vecchio, E. Russo, Crisci, M. R., Russo, Elvira, and Vecchio, A.

Subjects
Collocation, Computer Networks and Communications, Applied Mathematics, Numerical analysis, Mathematical analysis, Stability (probability), Integral equation, Volterra integral equation, Convolution, Computational Mathematics, symbols.namesake, Collocation method, symbols, Orthogonal collocation, Software, Mathematics
Abstract

The purpose of this paper is to analyze the stability properties of one-step collocation methods for the second kind Volterra integral equation through application to the basic test and the convolution test equation.

Published
1989
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7. On the stability of the one-step exact collocation method for the second kind Volterra integral equation with degenerate kernel

Author

Antonia Vecchio, E. Russo, M. R. Crisci, Crisci, M. R., Russo, Elvira, and Vecchio, A.

Subjects
Numerical Analysis, Degenerate energy levels, Mathematical analysis, Volterra equations, Stability (probability), Volterra integral equation, Integral equation, Computer Science Applications, Theoretical Computer Science, Computational Mathematics, symbols.namesake, Computational Theory and Mathematics, Collocation method, Kernel (statistics), symbols, Computer communication networks, Software, Mathematics
Abstract

The local stability properties of the collocation method applied to a second kind Volterra integral equation with degenerate kernel are investigated.

Published
1988

8. An Extension of Ortiz' Recursive Formulation of the Tau Method to Certain Linear Systems of Ordinary Differential Equations

Author

M. R. Crisci, E. Russo, Crisci, M. R., and Russo, Elvira

Subjects
Stochastic partial differential equation, Examples of differential equations, Computational Mathematics, Algebra and Number Theory, Linear differential equation, Collocation method, Applied Mathematics, Mathematical analysis, Explicit and implicit methods, Exponential integrator, Differential algebraic equation, Integrating factor, Mathematics
Abstract

Ortiz’ step-by-step recursive formulation of the Lanczos tau method is extended to the numerical solution of linear systems of differential equations with polynomial coefficients. Numerical comparisons are made with Gear’s and Enright’s methods.

Published
1983
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