Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations

Computer methods for ordinary differential equations and differential-algebraic equations

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Adaptive Partitioning Techniques for Ordinary Differential Equations

Many stiff systems of ordinary differential equations (ODEs) modeling practical problems can be partitioned into loosely coupled subsystems. In this paper the objective of the partitioning is to permit the numerical integration of one time step to be performed as the solution of a sequence of small subproblems. This reduces the computational complexity compared to solving one large system and p...

General linear methods for ordinary differential equations

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Exponential-Krylov methods for ordinary differential equations

This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension. The new family, called Lightly Implicit KrylovExponential (LIKE), is well suited for solving large scale systems of ODEs or semi-discrete PDEs. The time discretization and the Krylov space approximation are treated as a single computationa...

Numerical Methods for Ordinary Differential Equations