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SIAMSC
2010
13 years 8 months ago
2010
Abstract. Popular approaches for solving the shallow water equations (SWE) for climate modeling are explicit and semi-implicit methods, both have certain constraints on the time st...
SIAMSC
2010
13 years 8 months ago
2010
We introduce a new level set method for motion in normal direction. It is based on a formulation in the form of a second order forward-backward diffusion equation. The equation is...
SIAMSC
2010
13 years 8 months ago
2010
In this paper we extend the micro-macro decomposition based asymptotic-preserving scheme developed in [3] for the single species Boltzmann equation to the multispecies problems. A...
SIAMSC
2010
13 years 8 months ago
2010
This paper constructs extrapolated implicit-explicit time stepping methods that allow one to efficiently solve problems with both stiff and nonstiff components. The proposed meth...
SIAMSC
2010
13 years 8 months ago
2010
Frequently, the computation of derivatives for optimizing time-dependent problems is based on the integration of the adjoint differential equation. For this purpose, the knowledge...