Now showing items 1-10 of 30
Population distributions in the vibrational deactivation of benzene and benzene-d6. First and second moments derived from two-color infrared fluorescence measurements
(Elsevier, 1993-09-01)
Time-resolved two-color infrared fluorescence (IRF) from highly vibrationally excited benzene and benzene-d6 has been used to determine means and variances of the excited molecule population distributions over the majority ...
An Adaptively Refined Cartesian Mesh Solver for the Euler Equations
(Elsevier, 1993-01)
A method for adaptive refinement of a Cartesian mesh for the solution of the steady Euler equations is presented. The algorithm creates an initial uniform mesh and cuts the body out of that mesh. The mesh is then refined ...
Sum-accelerated pseudospectral methods: the Euler-accelerated sinc algorithm
(Elsevier, 1991-04)
Pseudospectral discretizations of differential equations are much more accurate than finite differences for the same number of grid points N. The reason is that derivatives are approximated by a weighted sum of all N values ...
The orthogonal rational functions of Higgins and Christov and algebraically mapped Chebyshev polynomials
(Elsevier, 1990-04)
It is shown that the rational functions of Higgins and Christov, orthogonal on [-[infinity], [infinity]], are Chebyshev polynomials of the first and second kinds with an algebraic change of variable. Because of these ...
A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid
(Elsevier, 1992-12)
A Chebyshev or Fourier series may be evaluated on the standard collocation grid by the fast Fourier transform (FFT). Unfortunately, the FFT does not apply when one needs to sum a spectral series at N points which are spaced ...
Composite bound states of wide and narrow envelope solitons in the coupled Schrödinger equations through matched asymptotic expansions
(IOP Publishing Ltd, 1999-11-01)
Coupled nonlinear Schrödinger equations, linked by cross modulation terms, arise in both nonlinear optics and in Rossby waves in the atmosphere and ocean. Numerically, Akhmediev and Ankiewicz and Haelterman and Sheppard ...
Efficient convexity and domination algorithms for fine- and medium-grain hypercube computers
(Springer-Verlag; Springer-Verlag New York Inc., 1992-12)
This paper gives hypercube algorithms for some simple problems involving geometric properties of sets of points. The properties considered emphasize aspects of convexity and domination. Efficient algorithms are given for ...
A comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales
(Elsevier, 1991-07)
We compare four different techniques for solving the ordinary differential equation uxx +/- u = [finite part integral]([var epsilon]x) on the unbounded interval, x [set membership, variant] [-[infinity], [infinity]], when ...
An analytical solution for a nonlinear differential equation with logarithmic decay
(Elsevier, 1988-09)
The problem is the ordinary differential equation du/dt = - p exp(- q/u) with u(0) = [alpha]. We prove that the general three-parameter problem may be reduced through a group invariance to computing a single, parameter-free ...
Spectral method solution of the Stokes equations on nonstaggered grids
(Elsevier, 1991-05)
The Stokes equations are solved using spectral methods with staggered and nonstaggered grids. Numerous ways to avoid the problem of spurious pressure modes are presented, including new techniques using the pseudospectral ...