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A BVP solver based on residual control and the Maltab PSE
We present here theoretical and software developments resulting in bvp4c, a capable BVP solver that is exceptionally easy to use. Expand
Solving Index-1 DAEs in MATLAB and Simulink
This paper describes mathematical and software developments needed for the effective solution of differential algebraic equations of index 1 in the integrated computing environment MATLAB and the dynamic simulation package Simulink. Expand
Solving Boundary Value Problems for Ordinary Differential Equations in M atlab with bvp 4 c
Ordinary differential equations (ODEs) describe phenomena that change continuously. They arise in models throughout mathematics, science, and engineering. By itself, a system of ODEs has many… Expand
A BVP Solver that Controls Residual and Error 1
We describe the algorithms and implementation of the bvp5c program for solving boundary value problems (BVPs) for ordinary dieren tial equations. A remarkable rela- tionship between scaled residual… Expand
Non-negative solutions of ODEs
- L. Shampine, S. Thompson, J. Kierzenka, G. D. Byrne
- Mathematics, Computer Science
- Appl. Math. Comput.
- 1 November 2005
This paper discusses procedures for enforcing non-negativity in a range of codes for solving ordinary differential equations (ODEs) using continuous extensions and event finding capabilities. Expand