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A Spectral Method in Time for Initial-Value Problems
Initial-Value Problem WRM Time-Spectral Spectral Method Chebyshev Polynomial Fluid Mechanics MHD
2013/1/30
A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domain...
A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Schrodinger equation Bloch decomposition time-splitting spectral method semiclassical asymptotics lattice potential
2012/5/24
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schr\"odinger equations with periodic potentials. This is a prominent model in solid state physics ...
Spectral Method for Exploring Patterns of Diblock Copolymers
Self-consistent field theory Diblock copolymer melt Initial value Phases Matsen-Schick’s method
2015/5/6
A numerical method in Fourier space is developed to solve the polymeric self-consistent field equations. The method does not require a priori sym-metric information. More significantly, periodic struc...
In this paper, we consider the numerical solution of quasi-parabolic equations of higher order by a spectral method, and propose a computational formula. We give an error estimate of approximate solut...
CONVERGENCE OF SPECTRAL METHOD IN TIME FOR BURGERS' EQUATION
Spectral method Burgers' equ
2007/12/11
For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseud...