In October-November 2000, I gave a series of talks, describing in some detail the algorithms in two general-purpose solvers: (1) the PVODE solver for systems of ordinary differential equations (ODEs), and (2) the IDA solver for systems of differential-algebraic equations (DAEs). The material was organized into three parts: (1) Part A: Overview; (2) Part B: The PVODE Algorithm; and (3) Part C: The IDA Algorithm. This document consists of the viewgraphs for the corresponding three talks. Except for the correction of some minor errors, the talk viewgraphs are given here exactly as presented. Each of the three sets of pages is numbered independently, with page numbers starting at 1. A brief outline of each of the talks, and a list of references...
Differential–algebraic equations (DAE) and partial differential–algebraic equations (PDAE) are syste...
Part 4: UQ PracticeInternational audienceOne can reduce the uncertainty in the quality of an approxi...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...
PVODE is a general purpose ordinary differential equation (ODE) solver for stiff and nonstiff ODES I...
Contents: C. Baiocchi, Stability in linear abstract differential equations (pp. 1–21); A. Bellen, Pa...
summary:In the paper the comparison method is used to prove the convergence of the Picard iterations...
The rapid development of technology in the latter part of the twentieth century has revolutionized t...
s Esprit Working Group 24490 Workshop from 1st to 5th of September 1997 Calcul Symbolique sur Ordina...
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
During the last three decades, a vast variety of methods to numerically solve ordinary differential ...
The availability of high-performance computing tools gives the opportunity of solving mathematical r...
Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computin...
In the last decade, two distinct directions have emerged in the way Ordinary Differential Equation (...
Nonlinear differential-algebraic equations (DAE) are typically solved using implicit stiff solvers b...
Ordinary differential equations (ODEs) are widely used in the modeling of physical systems. However,...
Differential–algebraic equations (DAE) and partial differential–algebraic equations (PDAE) are syste...
Part 4: UQ PracticeInternational audienceOne can reduce the uncertainty in the quality of an approxi...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...
PVODE is a general purpose ordinary differential equation (ODE) solver for stiff and nonstiff ODES I...
Contents: C. Baiocchi, Stability in linear abstract differential equations (pp. 1–21); A. Bellen, Pa...
summary:In the paper the comparison method is used to prove the convergence of the Picard iterations...
The rapid development of technology in the latter part of the twentieth century has revolutionized t...
s Esprit Working Group 24490 Workshop from 1st to 5th of September 1997 Calcul Symbolique sur Ordina...
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
During the last three decades, a vast variety of methods to numerically solve ordinary differential ...
The availability of high-performance computing tools gives the opportunity of solving mathematical r...
Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computin...
In the last decade, two distinct directions have emerged in the way Ordinary Differential Equation (...
Nonlinear differential-algebraic equations (DAE) are typically solved using implicit stiff solvers b...
Ordinary differential equations (ODEs) are widely used in the modeling of physical systems. However,...
Differential–algebraic equations (DAE) and partial differential–algebraic equations (PDAE) are syste...
Part 4: UQ PracticeInternational audienceOne can reduce the uncertainty in the quality of an approxi...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...