Multi-adaptive time integration
Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs
Nonlinear Krylov and moving nodes in the method of lines
Journal of Computational and Applied Mathematics - Special issue on the method of lines: Dedicated to Keith Miller
Algorithms and Data Structures for Multi-Adaptive Time-Stepping
ACM Transactions on Mathematical Software (TOMS)
Nonlinear Krylov and moving nodes in the method of lines
Journal of Computational and Applied Mathematics - Special issue on the method of lines: Dedicated to Keith Miller
A Posteriori Error Analysis for the Use of Lookup Tables in Cardiac Electrophysiology Simulations
SIAM Journal on Scientific Computing
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
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Continuing the discussion of the multi-adaptive Galerkin methods {$\mathrm{mcG}(q)$} and {$\mathrm{mdG}(q)$} presented in [A. Logg, SIAM J. Sci. Comput., 24 (2003), pp. 1879--1902], we present adaptive algorithms for global error control, iterative solution methods for the discrete equations, features of the implementation Tanganyika, and computational results for a variety of ODEs. Examples include the Lorenz system, the solar system, and a number of time-dependent PDEs.