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

obscurity

Symmetries of Second- and Third-Order Ordinary Differential Equationson invariant. The answer is obtained in two steps. At first a classification of the possible symmetries of equations of the respective order is determined. Secondly a decision procedure is provided which allows to identify the symmetry type within this classification. For second-order equations the

多山

Symbolic Methods for the Equivalence Problem for Systems of Implicit Ordinary Differential Equations the original set of equations is a solution of a given normal form and vice versa. Since we describe this system as a submanifold in a suitable jet-space, we present some basics from differential and algebraic geometry and give a short introduction to jet-theory and its application to systems of di

mosque

On the Numerical Analysis of Overdetermined Linear Partial Differential Systems theory provides us with a very powerful and natural framework for generalising many ideas from differential algebraic equations to partial differential equations. We study in particular the existence and uniqueness of (formal) solutions, the method of an underlying system, various index concepts an

长处

Dynamical Aspects of Involutive Bases Computationsd division is an admissible partial division in the sense of Apel. Admissibility requires a certain order on the terms. Instead of ordering the terms in advance, our algorithm additionally returns such an order for which the computed sliced division is admissible. Our algorithm gives rise to a whole

AMOR

Congestion and Almost Invariant Sets in Dynamical Systems space. These sets are an important characteristic for analyzing the macroscopic behavior of a given dynamical system. For instance, recently the identification of almost invariant sets has successfully been used in the context of the approximation of so-called chemical . for molecules..In this pape

HAIL

Datagraphs in Algebraic Geometry and K3 Surfacests of examples in algebraic geometry generated by computer algebra, and illustrate this with a list of K3 surfaces as the database items. The main point is that when analysing a single surface during construction of the database, the datagraph makes available its close relations, and that very often

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大约冬季

Multi-variate Polynomials and Newton-Puiseux Expansionsions of the type .(.) = 0, . ∈ ℂ [..,..., ..][.]. For this purpose we will use a generalization of the Newton polygon - the Newton polyhedron - and a generalization of Puiseux series for several variables.

MAOIS

Wavelets with Scale Dependent Propertiesvanishing moments conditions, giving orthonormal basis functions with scale dependent properties. Wavelets with scale dependent properties are applied for the compression of an oscillatory one-dimensional signal.

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