Explicit Runge-Kutta methods for parabolic partial differential equations
Applied Numerical Mathematics - Special issue celebrating the centenary of Runge-Kutta methods
Explicit Difference Schemes with Variable Time Steps for Solving Stiff Systems of Equations
WNAA '96 Proceedings of the First International Workshop on Numerical Analysis and Its Applications
A computational strategy for multiscale systems with applications to Lorenz 96 model
Journal of Computational Physics
An Equation-Free, Multiscale Approach to Uncertainty Quantification
Computing in Science and Engineering
Journal of Computational Physics
Numerical stability analysis of an acceleration scheme for step size constrained time integrators
Journal of Computational and Applied Mathematics
Second-order accurate projective integrators for multiscale problems
Journal of Computational and Applied Mathematics
Projective and coarse projective integration for problems with continuous symmetries
Journal of Computational Physics
Accuracy analysis of acceleration schemes for stiff multiscale problems
Journal of Computational and Applied Mathematics
Acceleration of lattice Boltzmann models through state extrapolation: a reaction--diffusion example
Applied Numerical Mathematics
Journal of Scientific Computing
Parallelizable stable explicit numerical integration for efficient circuit simulation
Proceedings of the 46th Annual Design Automation Conference
Final-value ODEs: stable numerical integration and its application to parallel circuit analysis
Proceedings of the 2009 International Conference on Computer-Aided Design
Parallel circuit simulation with adaptively controlled projective integration
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Hi-index | 31.46 |
Projective methods were introduced in an earlier paper [C.W. Gear, I.G. Kevrekidis, Projective Methods for Stiff Differential Equations: problems with gaps in their eigenvalue spectrum, NEC Research Institute Report 2001-029, available from http://www.neci.nj.nec.com/homepages/cwg/projective.pdf Abbreviated version to appear in SISC] as having potential for the efficient integration of problems with a large gap between two clusters in their eigenvalue spectrum, one cluster containing eigenvalues corresponding to components that have already been damped in the numerical solution and one corresponding to components that are still active. In this paper we introduce iterated projective methods that allow for explicit integration of stiff problems that have a large spread of eigenvalues with no gaps in their spectrum as arise in the semi-discretization of PDEs with parabolic components.