Computer Algebra in Scientific Computing (eBook, PDF)

CASC 2000
Redaktion: Ganzha, Viktor G.; Vorozhtsov, Evgenii V.; Mayr, Ernst W.

• Format: PDF

Produktbeschreibung

Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 439
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642572012
• Artikelnr.: 53092274

Autorenporträt

Prof. Dr. Victor Ganzha lehrt am Fachbereich Mathematik/Informatik der Universität-GH Kassel. Er beschäftigt sich mit symbolisch-numerischen Methoden.

Inhaltsangabe

Fast Matrix Computation of Subresultant Polynomial Remainder Sequences.- About Simultaneous Representation of Two Natural Numbers by a Sum of Three Primes.- On a Description of Irreducible Component in the Set of Nilpotent Leibniz Algebras Containing the Algebra of Maximal Nilindex, and Classification of Graded Filiform Leibniz Algebras.- Application of Computer Algebra in Problems on Stabilization of Gyroscopic Systems.- Implementing Computational Services Based on OpenMath.- Group Classification of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas.- Plotting Functions and Singularities with Maple and Java on a Component-based Web Architecture.- Stable Self-Oscillatory Regimes in Volterra Models of Three Populations.- Computing "Small" 1-Homological Models for Commutative Differential Graded Algebras.- Effective computation of algebra of derivations of Lie algebras.- An Integration and Reduction for Ordinary Non Linear Differential Equations Library.- Complexity of Derivatives Generated by Symbolic Differentiation.- An Assessment of the Efficiency of Computer Algebra Systems in the Solution of Scientific Computing Problems.- On the Relation Between Pommaret and Janet Bases.- An (Asymptotic) Error Bound for the Evaluation of Polynomials at Roots.- Three Remarks on Comprehensive Gröbner and SAGBI Bases.- Computing the Cylindrical Algebraic Decomposition Adapted to a Set of Equalities.- Symbolic Algorithms of Algebraic Perturbation Theory for a Hydrogen Atom: the Stark Effect.- CADECOM: Computer Algebra software for functional DECOMposition.- Computeralgebra and the Systematic Construction of Finite Unlabeled Structures.- Heat Invariant E2 for Nonminimal Operator on Manifolds with Torsion.- Computer Algebra for Automated Performance Modeling ofFortran Programs.- A Parallel Symbolic-Numerical Approach to Algebraic Curve Plotting.- Parametric Analysis for a Nonlinear System.- Extended Splicing System and Semigroup of Dominoes.- Newton Polyhedra and the Reversible System of Ordinary Differential Equations.- Condition Analysis of Overdetermined Algebraic Problems.- An Algebraic Approach to Offsetting and Blending of Solids.- Application of Computer Algebra Methods to Some Problems of Theoretical and Applied Celestial Mechanics.- Computing the Frobenius Normal Form of a Sparse Matrix.- Lessons Learned from Using CORBA for Components in Scientific Computing.- Deciding Linear-Transcendental Problems.- Author Index.