A Survey of Methods for Computing Large Sparse Matrix Exponentials Arising in Markov Chains
Krylov subspace techniques have been shown to yield robust methods for the numerical computation of large sparse matrix exponentials and especially the transient solutions of Markov Chains.
William J. Stewart, Roger Sidje
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.
europepmc +1 more source
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.
europepmc +1 more source
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
core
Efficient simulation of a slow-fast dynamical system using multirate finite difference schemes
We consider a system of ordinary differential equations describing a slow-fast dynamical system, in particular, a predator-prey system that is highly susceptible to local time variations.
Patidar, Kailash C., Mergia, Woinshet D.
core
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
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

