An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

This paper is concerned with the numerical simulations for the dynamics of the molecular beam epitaxy (MBE) model. The numerical simulations of the MBE models require long time computations, and therefore large time-stepping methods become necessary. In this work, we consider some unconditionally en...

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Vydané v:	SIAM journal on scientific computing Ročník 33; číslo 3; s. 1395 - 1414
Hlavní autori:	Qiao, Zhonghua, Zhang, Zhengru, Tang, Tao
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
Predmet:	Computation Computer simulation Dynamics Energy use Exact sciences and technology Mathematical analysis Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Molecular beam epitaxy Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Sciences and techniques of general use Simulation Strategy Studies molecular beam epitaxy adaptive time-stepping method finite difference schemes 35Q99 Numerical method Stochastic method Adaptive method Computation time Numerical analysis unconditionally energy stable Scientific computation 65M70 35R99 Numerical simulation Simulation model Steady state solution 65M12 Finite difference method
ISSN:	1064-8275, 1095-7197
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