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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...
Information Transmission using the Nonlinear Fourier Transform, Part II: Numerical Methods
Fiber-optic communications forward nonlinear Fourier transform Zakharov-Shabat spectral problem numerical methods
2012/4/23
In this paper, numerical methods are suggested to compute the discrete and the continuous spectrum of a signal with respect to the Zakharov-Shabat system, a Lax operator underlying numerous integrable...
Numerical Methods for Multilattices
atomistic model quasicontinuum method multilattice homogenization multiscale method
2011/9/14
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
2011/9/14
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 the exit time of a piecewise-deterministic Markov process
exit time piecewise deterministic Markov processes quantization
2011/1/21
We present a numerical method to compute the survival function and the moments of the exit time for a piecewise-deterministic Markov process (PDMP).
Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence
comparison analytical and numerical methods quantum decoherence
2010/11/8
The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is...
Fast conservative and entropic numerical methods for the Boson Boltzmann equation
Boson Boltzmann equation condensation quadrature formulas fast algorithms
2010/12/6
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...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial dierential equations is presented. In particular, linearly implicit methods preserving a time avera...
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
2012/7/31
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...
An Introduction to Numerical Methods in Low-Dimensional Quantum Systems
Numerical Methods Low-Dimensional Quantum Systems
2010/10/27
This is an introductory course to the Lanczos Method and Density Matrix Renormalization Group Algorithms (DMRG), two among the leading numerical techniques applied in studies of low-dimensional quantu...