Circuit simulation and moving mesh generation

Abstract — This paper outlines two different topics in compu-tational engineering: 1. Many areas of applied mathematics lead to the same fundamental problem in numerical linear algebra. We will identify this problem for a network of resistors. Then we discuss the nonlinear problems of circuit simulation, and algorithms for solving them. 2. For partial differential equations (and also for computer graphics), an essential step is the generation of a well-spaced mesh. We describe a short, simple, and public code for unstructured meshes. Then we illustrate recent ideas in moving the mesh as the region changes. The third topic in Sapporo was wavelets. For a full exposition we refer to our textbook Wavelets and Filter Banks (Gilbert Strang and Truong Nguyen, Wellesley-Cambridge Press, 1996). A two