Titlebook: Symbolic and Numerical Scientific Computation; Second International Franz Winkler,Ulrich Langer Conference proceedings 2003 Springer-Verlag

跑过

碎石头

A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineeringstems, are diagonalizable. While this property is interesting for its own sake, our discussion will focus on technicalities and implications for advanced accelerated computing. We will demonstrate that diagonalization with respect to a chosen spatial coordinate systematically “reshuffles” the origin

intricacy

Generation of the Quasi-solitons in the Lasers: Computer Algebra Approach to an Analysistensities higher than 10. W/cm. (for review see [.]). Their applications cover the range from the technology and the medicine to the sophisticated spectroscopical researches and the nuclear fusion. The femtosecond lasers possess the rich nonlinear properties, which dramatically complicate the field

尊重

Nonlinear Periodic Waves in Shallow Waterhe usual perturbation techniques for the nonlinear shallow water equation leads to overdetermined systems of linear algebraic equations for unknown coefficients. The compatibility of the systems is the key point of the investigation. The found coefficients allow to construct solutions to the shallow

缩短

Conference proceedings 2003tion, SNSC 2001, held in Hagenberg, Austria, in September 2001...The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in al

morale

Exclaim

Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systemsmphasize the study of the mathematical objects manipulated by the algorithms and show their properties independently of those. We also detail a selection of algorithms, one for each task. The present article deals with differential systems. It uses results presented in the first article on polynomial systems but can be read independently.

慌张

荒唐

Exact Real Computation in Computer Algebraaradigm. The main discussed topics are: representation of exact real objects, operations on exact real matrices, polynomial greatest common divisor and root computation. Some of these problems are ill-posed; we use regularization methods to solve them.

Expertise

Generation of the Quasi-solitons in the Lasers: Computer Algebra Approach to an Analysisctroscopical researches and the nuclear fusion. The femtosecond lasers possess the rich nonlinear properties, which dramatically complicate the field dynamics. There are two main approaches to the theoretical analysis of the femtosecond pulse dynamics. In fact, these approaches reproduce the mainstreams of the nonlinear physics in general.