Computer Algebra in Scientific Computing : 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012, Proceedings / edited by Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov.

1st ed. 2012.
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Computer Science (Springer-11645)
LNCS sublibrary. Theoretical computer science and general issues SL 1, 7442
Theoretical Computer Science and General Issues ; 7442
1 online resource (XIV, 363 pages) : 42 illustrations
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Numerical analysis.
Computer arithmetic and logic units.
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This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this book. One of the main themes of the CASC workshop series, namely polynomial algebra, is represented by contributions devoted to new algorithms for computing comprehensive Gröbner and involutive systems, parallelization of the Gröbner bases computation, the study of quasi-stable polynomial ideals, new algorithms to compute the Jacobson form of a matrix of Ore polynomials, a recursive Leverrier algorithm for inversion of dense matrices whose entries are monic polynomials, root isolation of zero-dimensional triangular polynomial systems, optimal computation of the third power of a long integer, investigation of the complexity of solving systems with few independent monomials, the study of ill-conditioned polynomial systems, a method for polynomial root-finding via eigen-solving and randomization, an algorithm for fast dense polynomial multiplication with Java using the new opaque typed method, and sparse polynomial powering using heaps.
On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations
An Algebraic Characterization of Rainbow Connectivity
Application of the Method of Asymptotic Solution to One Multi-Parameter Problem
A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers
Lightweight Abstraction for Mathematical Computation in Java
Calculation of Normal Forms of the Euler-Poisson Equations
Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem
Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates
Comprehensive Involutive Systems
A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials
The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka-Volterra System
Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics Symbolic-Numerical Calculations of
High-|m| Rydberg States and Decay Rates in Strong Magnetic Fields
Quasi-stability versus Genericity
Invariant Theory: Applications and Computations (Invited Talk)
Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems
On Fulton's Algorithm for Computing Intersection Multiplicities
A Note on the Space Complexity of Fast D-Finite Function Evaluation
Inversion Modulo Zero-Dimensional Regular Chains
Sparse Polynomial Powering Using Heaps
Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems
Parallel Reduction of Matrices in Gr¨obner Bases Computations
Real and Complex Polynomial Root-Finding by Means of Eigen-Solving
Root-Refining for a Polynomial Equation
PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks
Approximately Singular Systems and Ill-Conditioned Polynomial Systems
Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier-Stokes Equations
Verifiable Conditions on Asymptotic Stabilisability for a Class of Planar Switched Linear Systems
Improving Angular Speed Uniformity by Optimal C0 Piecewise Reparameterization
Usage of Modular Techniques for Efficient Computation of Ideal Operations (Invited Talk).
Gerdt, V. P., editor., Editor,
Koepf, Wolfram, editor., Editor,
Mayr, Ernst, editor., Editor,
Vorozhtsov, Evgenii V. editor., Editor,
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