Displaying similar documents to “A method of inversion of the Laplace transform”

Solving Differential Equations by Parallel Laplace Method with Assured Accuracy

Malaschonok, Natasha (2007)

Serdica Journal of Computing

Similarity:

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006 We produce a parallel algorithm realizing the Laplace transform method for the symbolic solving of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions and right-hand parts reduced to sums of exponents with polynomial coefficients.

Nonlinear boundary value problems with application to semiconductor device equations

Miroslav Pospíšek (1994)

Applications of Mathematics

Similarity:

The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic...