A family of multistep collocation methods for Volterra Integral Equations

被引：0

作者：

Conte, D. ^{[1
]}

Paternoster, B. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, Salerno, Italy

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS | 2007年 / 936卷

关键词：

numerical methods for Volterra Integral Equations; multistep collocation methods;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a family of multistep collocation methods for the numerical integration of Volterra Integral Equations, which depends on the numerical solution on a fixed number of previous time steps. We describe the constructive technique, discuss the order of the resulting methods, analyze their linear stability properties and give an example of one stage method.

引用

页码：128 / +

页数：2

共 18 条

[1] Multistep collocation methods for Volterra Integral Equations
Conte, D.
Paternoster, B.
APPLIED NUMERICAL MATHEMATICS, 2009, 59 (08) : 1721 - 1736
[2] Multistep Hermite collocation methods for solving Volterra Integral Equations
Fazeli, Somayyeh
Hojjati, Gholamreza
Shahmorad, Sedaghat
NUMERICAL ALGORITHMS, 2012, 60 (01) : 27 - 50
[3] Multistep Hermite collocation methods for solving Volterra Integral Equations
Somayyeh Fazeli
Gholamreza Hojjati
Sedaghat Shahmorad
Numerical Algorithms, 2012, 60 : 27 - 50
[4] Super implicit multistep collocation methods for nonlinear Volterra integral equations
Fazeli, S.
Hojjati, G.
Shahmorad, S.
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 590 - 607
[5] A family of Multistep Collocation Methods for Volterra Integro-Differential Equations
Cardone, A.
Conte, D.
Paternoster, B.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 358 - 361
[6] High-order convergence of multistep collocation methods for nonstandard Volterra integral equations
Pishbin, S.
Ebadi, A.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (04) : 824 - 837
[7] Multistep collocation approximations to solutions of first-kind Volterra integral equations
Zhang, Tingting
Liang, Hui
APPLIED NUMERICAL MATHEMATICS, 2018, 130 : 171 - 183
[8] Construction of diagonally implicit almost collocation methods for Volterra Integral Equations
Conte, D.
D'Ambrosio, R.
Paternoster, B.
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2011, 2 (01): : 125 - 146
[9] Numerical solution of Volterra integro-differential equations by superimplicit multistep collocation methods
Fazeli, Somayyeh
Hojjati, Gholamreza
NUMERICAL ALGORITHMS, 2015, 68 (04) : 741 - 768
[10] Numerical solution of Volterra integro-differential equations by superimplicit multistep collocation methods
Somayyeh Fazeli
Gholamreza Hojjati
Numerical Algorithms, 2015, 68 : 741 - 768

← 1 2 →