MOC
1998
13 years 4 months ago
1998
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
MOC
1998
13 years 4 months ago
1998
MOC
1998
13 years 4 months ago
1998
If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptio...
MOC
1998
13 years 4 months ago
1998
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...
MOC
1998
13 years 4 months ago
1998
In this paper we construct and analyze new non-overlapping domain decomposition preconditioners for the solution of second-order elliptic and parabolic boundary value problems. The...
MOC
1998
13 years 4 months ago
1998
The existence and uniqueness of the Lipschitz continuous traveling wave of Godunov’s scheme for scalar conservation laws are proved. The structure of the traveling waves is studi...
MOC
1998
13 years 4 months ago
1998
This paper reports on new results for the equation m i=1 ak i = n j=1 bk j , i.e., equal sums of like powers. Since the 1967 Lander, Parkin and Selfridge survey paper [4], few othe...
MOC
1998
13 years 4 months ago
1998
Abstract. We consider numerical methods for a “quasi-boundary value” regularization of the backward parabolic problem given by ut + Au = 0 , 0 < t < T u(T ) = f, where A ...
MOC
1998
13 years 4 months ago
1998
The groundwork for a theory of quadratic identities involving the classical triple and quintuple products is layed. The approach is through the study and use of affine maps that ac...
MOC
1998
13 years 4 months ago
1998
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...