Parallel (‖) ELLPACK: an expert system for parallel processing of partial differential equations

//ELLPACK: A System for Simulating Partial Differential Equations

USFKAD: An expert system for partial differential equations

USFKAD is an encoded expert system for the eigenfunction expansion of solutions to the wave, diffusion, and Laplace equations: both homogeneous and nonhomogenous; one, two, or three dimensions; Cartesian, cylindrical, or spherical coordinates; Dirichlet, Neumann, Robin, or singular boundary conditions; in time, frequency, or Laplace domain. The user follows a menu to enter his/her choices and t...

Parallel ELLPACK Elliptic PDE Solvers

Parallel ELLPACK [35, 61] is a machine independent problem solving environment (PSE) that supports PDE (partial di erential equations) computing across many hardware platforms. In this paper we review parallel methodologies based on the \divide and conquer" computational paradigm and their infrastructure for solving general elliptic PDEs. Particularly, we describe those that have been implement...

OVERTURE: An Object-Oriented Software System for Solving Partial Differential Equations in Serial and Parallel Environments

The OVERTURE Framework is an ob ject-oriented environment for solving PDEs on serial and parallel architectures. It is a collection of C++ libraries that enables the use of finite difference and finite volume methods at a level that hides the details of the associated data structures, as well its the details of the parallel implementation. It is based on the A++/P++ array class library and is d...

Parallel Numerical Methods for Partial Differential Equations (Ph.D. Thesis)

It has been rightly predicted that parallel computing is inevitable. This thesis attempts to study and implement the so-called geometry splitting solution paradigm as a parallel computational framework for solving elliptic partial differential equations (PDEs) on distributed memory machines. First, we formulate, analyze and implement the Schwarz Alternating Method (SAM) for elliptic PDEs define...