In this paper the problem of computing bifurcation diagrams for large-scale nonlinear parameter-dependent steady state systems which arise following the spatial discretization of semilinear PDEs is ...
Proceedings of the American Mathematical Society, Vol. 140, No. 7 (JULY 2012), pp. 2357-2373 (17 pages) The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for ...
Inspired by path integral solutions to the quantum relaxation problem, we develop a numerical method to solve classical stochastic differential equations with multiplicative noise that avoids ...
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