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MOC
1998
81views more  MOC 1998»
13 years 10 months ago
Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity
Abstract. We present here a mathematical analysis of a nonstandard difference method for the numerical solution of the time dependent GinzburgLandau models of superconductivity. Th...
Qiang Du
MOC
1998
67views more  MOC 1998»
13 years 10 months ago
A negative-norm least squares method for Reissner-Mindlin plates
In this paper a least squares method, using the minus one norm developed by Bramble, Lazarov, and Pasciak, is introduced to approximate the solution of the Reissner-Mindlin plate p...
James H. Bramble, Tong Sun
MOC
1998
73views more  MOC 1998»
13 years 10 months ago
Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
J. C. Butcher, R. P. K. Chan
MOC
1998
62views more  MOC 1998»
13 years 10 months ago
Numerical evaluation of a symmetric potential function
Abstract. We discuss the numerical evaluation of a symmetric potential function which arises naturally in applications. We present a method designed to accurately and efficiently c...
Lori A. Carmack
MOC
1998
140views more  MOC 1998»
13 years 10 months ago
On a high order numerical method for functions with singularities
By splitting a given singular function into a relatively smooth part and a specially structured singular part, it is shown how the traditional Fourier method can be modified to gi...
Knut S. Eckhoff