By employing the diagonalization process, a generalized variation of the constants formula and the theory of differential inequalities, the mean square convergence of the solution process of a large-scale singularly perturbed linear stochastic systems is investigated. Moreover, slow and fast...

Adaptive mesh enrichment techniques are becoming recognized as a means of automating many of the decisions associated with the computer solution of partial differential equations. Towards this end, we describe an intelligent interface where partial differential equations and their data may be...

A simple procedure is presented which allows modifications to existing boundary element potential solvers, enabling them to handle cascade flow computations. The method is based on the manipulation of columns corresponding to the nodes on periodic boundary segments. A simple benchmark problem is...

A new open ocean hybrid coordinate primitive equation model based on the standard model of Bryan and Cox has been developed for regional applications. Several issues of regional modeling are addressed, including: model initialization; open boundary conditions; and horizontal filtering on sloping...

DEQSOL is a very high level language specially designed to describe PDE problems in a way quite natural for numerical analyses. The DEQSOL translator automatically generates highly vectorizable FORTRAN simulation codes from the mathematical-level DEQSOL descriptions. DEQSOL requires only one...

The need for rapid prototyping of numerical simulations is considered, and an object-oriented, graphical based system (Smalltalk) is proposed as a basis for a new approach to user interfaces for scientific computing. The interface system requirements for problem expression, automatic...