Results 81 to 90 of about 143 (130)

DIMSEMs - Diagonally Implicit Single-Eigenvalue Methods for the Numerical Solution of Stiff ODEs on Parallel Computers: A Preliminary Report

, 1995
We describe a new class of General Linear Methods (GLMs) with the following properties: the methods are strictly diagonally implicit, allowing efficient parallel implementation; the stability matrix has no spurious eigenvalues (i.e., only one eigenvalue ...
Robert F. Enenkel, Kenneth R. Jackson
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Initial value problems for system of differential-algebraic equations in Maple. [PDF]

BMC Res Notes, 2018
Thota S.
europepmc   +1 more source

An Algorithm For The Numerical Solution Of Differential Equations Of Fractional Order

, 1997
. Differential equations involving derivatives of non-integer order have shown to be adequate models for various physical phenomena in areas like damping laws, diffusion processes, etc.
Kai Diethelm
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Spectral approximation of time windows in the solution of dissipative linear differential equations, submitted to IMA

, 2008
. We establish a relation between the length T of the integration window of a linear differential equation x ′ + Ax = b and a spectral parameter s ∗. This parameter is determined by comparing the exact solution x(T) at the end of the integration window ...
B. D. Welfert, K. Burrage, Z. Jackiewicz
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The Numerical Solution of Constrained Hamiltonian Systems.

, 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   +1 more source

Modeling the impact of war, interventions, and funding on malaria transmission dynamics in Sudan. [PDF]

BMC Infect Dis
Alhaj MS, Nyabadza F.
europepmc   +1 more source

Solving Stiff Differential Equations with the Method of Patches

, 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, John Pearson, David Brydon   +2 more
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A mathematical model to simulate the biological action of Infliximab on TNF- α in patients with Inflammatory Bowel Disease: the critical role of drug clearance. [PDF]

Bull Math Biol
Portillo AM, De Prado Á, Soares AJ.
europepmc   +1 more source

Symplectic Runge-Kutta Schemes II: Classification Of Symmetric Methods

. A complete classification of all symplectic self-adjoint Runge-Kutta methods with up to 6 stages is given and the derivation process used is outlined.
M. Sofroniou, W. Oevel
core