Solving Stiff Differential Equations with the Method of Patches
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
Analytical and data-driven fractional-order malaria transmission model with vector and non-vector pathways. [PDF]
Ahman QO +4 more
europepmc +1 more source
Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions. [PDF]
Arnold A, Negulescu C.
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Robertson's Example For Stiff Differential Equations
. 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
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A replicator model with transport dynamics on networks for species evolution. [PDF]
Coclite A +3 more
europepmc +1 more source
Implementing a seventh-order linear multistep method in a predictor-corrector mode or block mode: which is more efficient for the general second order initial value problem. [PDF]
Jator SN, Lee L.
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On Taylor model based integration of ODEs
. 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.
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
Mathematical modeling of dengue virus transmission: exploring vector, vertical, and sexual pathways with sensitivity and bifurcation analysis. [PDF]
Ahman QO, Aja RO, Omale D, Okpara PA.
europepmc +1 more source

