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

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发表于 2025-3-21 18:07:43 | 显示全部楼层 |阅读模式
书目名称Symbolic and Numerical Scientific Computation
副标题Second International
编辑Franz Winkler,Ulrich Langer
视频video
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Symbolic and Numerical Scientific Computation; Second International Franz Winkler,Ulrich Langer Conference proceedings 2003 Springer-Verlag
描述. ..This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, 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 algebra and geometry, and applications in physics and engineering..
出版日期Conference proceedings 2003
关键词Computer; Triangulation; algorithms; calculus; computation; computational geometry; computational science;
版次1
doihttps://doi.org/10.1007/3-540-45084-X
isbn_softcover978-3-540-40554-2
isbn_ebook978-3-540-45084-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer-Verlag Berlin Heidelberg 2003
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Nonlinear Periodic Waves in Shallow Waterlate that the obtained expressions are the first two terms of an expanded exact three-dimensional solution to the surface wave equations, which describe the axisymmetrical and the simplest unaxisymmetrical surface waves in shallow water.
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0302-9743 ic Computation, 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 nume
发表于 2025-3-22 08:28:19 | 显示全部楼层
Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules of passive complete orthonomic systems of linear PDEs with constant coefficients into the language of polynomial modules..We will point out some desirable applications which a “good” notion of involutive bases could provide. Unfortunately, these desires turn out to collide and we will discuss the problem of finding a reasonable compromise.
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Symmetries of Second- and Third-Order Ordinary Differential Equationsanswer has been obtained by Lie himself. In this article the complete answer for quasilinear equations of order three is given. An important tool is the Janet base representation for the determining system of the symmetries.
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Symbolic Methods for the Equivalence Problem for Systems of Implicit Ordinary Differential Equationsfferential equations. The main results of this contribution are two solutions for the equivalence problem, where time derivatives of the input are admitted or not. Apart from the theoretical results we give a sketch for computer algebra based algorithms necessary to solve these problems efficiently.
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A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineeringal PDEs and creates equivalent differential forms. It turns out that diagonalization automatically distinguishes the variables in the interface- and boundary conditions defined on surfaces normal to the diagonalization direction.
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Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systemsform presentation of triangulation-decomposition of polynomial and differential radical ideals with detailed proofs of all the presented results. We emphasize the study of the mathematical objects manipulated by the algorithms and show their properties independently of those. We also detail a select
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