We present a novel scheme for the solution of linear differential equation systems on parallel computers. The Implicit Pipeline (ImP) method uses an implicit timeintegration schem...
Abstract. Computer simulations of realistic applications usually require solving a set of non-linear partial di erential equations PDEs over a nite region. The process of obtaini...
Leonid Oliker, Xiaoye S. Li, Gerd Heber, Rupak Bis...
The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations (ODE). An important feature of nonlinear ODEs is that seemingly minor...
We present a new technique, based on polynomial continuation, for solving systems of n polynomials in N complex variables. The method allows equations to be introduced one-by-one o...
Jonathan D. Hauenstein, Andrew J. Sommese, Charles...
This paper describes a program, called NEWTON, that finds approximate symbolic solutions to parameterized equations in one variable. N E W T O N derives an initial approximation b...