Multi-adaptive time integration
Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs
Coarse projective kMC integration: forward/reverse initial and boundary value problems
Journal of Computational Physics
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
Patch Dynamics for Multiscale Problems
Computing in Science and Engineering
Equation-free/Galerkin-free POD-assisted computation of incompressible flows
Journal of Computational Physics
Constraint-Defined Manifolds: a Legacy Code Approach to Low-Dimensional Computation
Journal of Scientific Computing
Patch dynamics with buffers for homogenization problems
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
Computers & Mathematics with Applications
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
Variance reduction for particle filters of systems with time scale separation
IEEE Transactions on Signal Processing
Final-value ODEs: stable numerical integration and its application to parallel circuit analysis
Proceedings of the 2009 International Conference on Computer-Aided Design
L2-stability analysis of novel ETD scheme for Kuramoto-Sivashinsky equations
Journal of Computational and Applied Mathematics
Parallel circuit simulation with adaptively controlled projective integration
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Dimension reduction method for ODE fluid models
Journal of Computational Physics
Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
SIAM Journal on Scientific Computing
A Multiscale Method for Highly Oscillatory Dynamical Systems Using a Poincaré Map Type Technique
Journal of Scientific Computing
The Explicit-Implicit-Null method: Removing the numerical instability of PDEs
Journal of Computational Physics
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We show that there exist classes of explicit numerical integration methods that can handle very stiff problems if the eigenvalues are separated into two clusters, one containing the "stiff," or fast, components, and one containing the slow components. These methods have large average step sizes relative to the fast components. Conventional implicit methods involve the solution of nonlinear equations at each step, which for large problems requires significant communication between processors on a multiprocessor machine. For such problems the methods proposed here have significant potential for speed improvement.