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95
Voted
MOC
1998
81views more  MOC 1998»
15 years 23 days 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
101
Voted
MOC
1998
67views more  MOC 1998»
15 years 23 days 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
76
Voted
MOC
1998
73views more  MOC 1998»
15 years 23 days 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
87
Voted
MOC
1998
62views more  MOC 1998»
15 years 23 days 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
125
Voted
MOC
1998
140views more  MOC 1998»
15 years 23 days 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