Results 91 to 100 of about 148 (128)

Solving Stiff Differential Equations with the Method of Patches

open access: yes, 2007
We introduce a new method for solving very stiff sets of ordinary differential equations. The basic idea is to replace the original nonlinear equations with a set of equally stiff equations that are piecewise linear, and therefore can be solved exactly ...
Michael Marder   +2 more
core  

Robertson's Example For Stiff Differential Equations

open access: yes, 2007
. Robertson's example models a representative reaction kinetics as a set of three ordinary differential equations. After an introduction to the application in chemical engineering, a theoretical stiffness analysis is presented.
Matthias Gobbert
core  

A replicator model with transport dynamics on networks for species evolution. [PDF]

open access: yesJ Math Biol
Coclite A   +3 more
europepmc   +1 more source

On Taylor model based integration of ODEs

open access: yes, 2008
. Interval methods for verified integration of initial value problems (IVPs) for ODEs have been used for more than 40 years. For many classes of IVPs, these methods are able to compute guaranteed error bounds for the flow of an ODE, where traditional ...
M. Neher, K. R. Jackson, N. S. Nedialkov
core  

The Numerical Solution of Constrained Hamiltonian Systems.

open access: yes, 1992
A Hamiltonian system subject to smooth constraints can typically be viewed as a Hamiltonian system on a manifold. Numerical computations, however, must be performed in $ R^n$.
Leimkuhler, Benedict, Reich, Sebastian
core  

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