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Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
Integrable system Integrable discretization cklund transformation Lax pair
2012/8/8
In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via
Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully di...
Numerical modeling of transient two-dimensional viscoelastic waves
wave propagation Zener model memory variables ADER schemes
2011/3/2
This paper deals with the numerical modeling of transient mechanical waves in linear viscoelastic solids. Dissipation mechanisms are described using the Zener model.
AN ACCURATE NUMERICAL SOLUTION OF A TWO DIMENSIONAL HEAT TRANSFERPROBLEM WITH A PARABOLIC BOUNDARY LAYER
Linear convection-diffusion parabolic layer piecewise uniform mesh finite difference.
2007/12/11
A singularly perturbed linear convection-diffusion problem for heat
transfer in two dimensions with a parabolic boundary layer is solved
numerically. The numerical method consists of a special piece...
A Simple Moving Mesh Method for One- and Two-Dimensional Phase-Field Equations
phase-field equations computation of free boundaries moving mesh method finite volume method
2012/7/31
A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys., 170 (2001),pp. 562?88] to separate t...
A New Parallel Strategy for Two-dimensional Incompressible Flow Simulations Using Pseudo-spectral Methods
Parallel computing Pseudo-spectral methods Task distribution Navier-Stokes equations Boussinesq equations
2012/7/31
A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It ta...