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Full-Text Articles in Physical Sciences and Mathematics

A Differential Equation Model Of North American Cinematic Box-Office Dynamics, David A. Edwards, Ron Buckmire Oct 2001

A Differential Equation Model Of North American Cinematic Box-Office Dynamics, David A. Edwards, Ron Buckmire

Ron Buckmire

No abstract provided.


Hermite Collocation Solution Of Partial Differential Equations Via Preconditioned Krylov Methods, Stephen Brill Feb 2001

Hermite Collocation Solution Of Partial Differential Equations Via Preconditioned Krylov Methods, Stephen Brill

Stephen H. Brill

We are concerned with the numerical solution of partial differential equations (PDEs) in two spatial dimensions discretized via Hermite collocation. To efficiently solve the resulting systems of linear algebraic equations, we choose a Krylov subspace method. We implement two such methods: Bi-CGSTAB [1] and GMRES [2]. In addition, we utilize two different preconditioners: one based on the Gauss–Seidel method with a block red-black ordering (RBGS); the other based upon a block incomplete LU factorization (ILU). Our results suggest that, at least in the context of Hermite collocation, the RBGS preconditioner is superior to the ILU preconditioner and that the Bi-CGSTAB …


Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He Dec 2000

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He

Tian-Xiao He

In this paper, we will discuss the construction of biorthogonal wavelets that possess the largest possible regularities and required vanishing moments. For the sake of applications, we also give a general Daubechies’ iteration method of constructing biorthogonal wavelets by using biorthogonal splines.


Letter To The Editor, Stan Wagon Dec 2000

Letter To The Editor, Stan Wagon

Stan Wagon, Retired

No abstract provided.


Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He Dec 2000

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He

Tian-Xiao He

No abstract provided.


Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He Dec 2000

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He

Tian-Xiao He

No abstract provided.