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Numerical methods for H_2 related problems
Numerical convex programming quantity convex programming application
2015/8/12
Recent results have shown that several H_2 and H_2-related problems can be formulated as convex programs with a finite number of variables. We present an interior point algorithm for the solution of t...
Energy-conserving numerical methods for multi-symplectic Hamiltonian PDEs
Energy-conserving numerical methods Hamiltonian PDEs
2012/8/8
In this paper, the discrete gradient methods are investigated for ODEs with 痳st integral,
and the recursive formula is presented for deriving the high-order numerical methods. We
generalize the idea...
Numerical Methods for Multilattices
atomistic model quasicontinuum method multilattice homogenization multiscale method
2011/7/18
Abstract: Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystall...
Numerical Methods for Multilattices
atomistic model quasicontinuum method multilattice homogenization multiscale method
2011/7/18
Abstract: Among the efficient numerical methods based on atomistic models, the quasicontinuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystall...
Fast conservative and entropic numerical methods for the Boson Boltzmann equation
Boson Boltzmann equation condensation quadrature formulas fast algorithms
2010/11/4
In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the continuous problem, namely...
We present an overview of the recent development on numerical methods for elliptic problems with multiscale coecients. We carry out a thorough study of two representative techniques: the heterogeneou...
Two different numerical methods for nearly integrable systems
Generating Function Method Nearly Integrable System Composition Method
2004/10/1
In this paper two numerical methods: the generating function method and the composition method are analyzed for nearly integrable systems. The numerical comparison between two numerical methods is pre...