Computer Algebra in Scientific Computing
Springer Berlin (Verlag)
978-3-642-15273-3 (ISBN)
Dr. Wolfram Koepf ist im Fachbereich Informatik/Mathematik/Naturwissenschaften der Hochschule für Technik, Wirtschaft und Kultur in Leipzig tätig.
Construction of Irreducible Polynomials over Finite Fields.- Factorization of Polynomials and GCD Computations for Finding Universal Denominators.- A Role of Symbolic Computations in Beam Physics.- Thomas Decomposition of Algebraic and Differential Systems.- On Multivariate Homogeneous Polynomial Decomposition.- Computing Matrix Representations of Filiform Lie Algebras.- Type Specialization in Aldor.- An Algebraic Implicitization and Specialization of Minimum KL-Divergence Models.- On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary Point.- Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models.- On Reduction of Lagrange Systems.- Series Transformations to Improve and Extend Convergence.- Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems.- Generic, Type-Safe and Object Oriented Computer Algebra Software.- Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden.- Fast Generalized Bruhat Decomposition.- Computational Science in Armenia (Invited Talk).- From Petri Nets to Polynomials: Modeling, Algorithms, and Complexity (Abstract) (Invited Talk).- Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests.- Term Cancellations in Computing Floating-Point Gröbner Bases.- One Class of Third-Order Linear ODE's.- GPGCD, an Iterative Method for Calculating Approximate GCD, for Multiple Univariate Polynomials.- Derivation of Explicit Difference Schemes for Ordinary Differential Equations with the Aid of Lagrange-Burmann Expansions.- Parametric Qualitative Analysis of Ordinary Differential Equations: Computer Algebra Methods for Excluding Oscillations (Extended Abstract) (Invited Talk).- An Analytical Model forthe Probability Characteristics of a Crack Hitting an Encapsulated Self-healing Agent in Concrete.- Extending Clause Learning of SAT Solvers with Boolean Gröbner Bases.
Erscheint lt. Verlag | 18.8.2010 |
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Reihe/Serie | Lecture Notes in Computer Science | Theoretical Computer Science and General Issues |
Zusatzinfo | XIV, 304 p. 48 illus. |
Verlagsort | Berlin |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Schlagworte | algebraic computation • Algorithm analysis and problem complexity • algorithms • Calculus • Complexity • Computational Geometry • Derivation • Differential Equations • numerical simulation • Visualization |
ISBN-10 | 3-642-15273-2 / 3642152732 |
ISBN-13 | 978-3-642-15273-3 / 9783642152733 |
Zustand | Neuware |
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