Computer Algebra in Scientific Computing

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 On Polynomial Solutions of Linear Partial Differential and ( q -)Difference Equations
3. Altmetric Badge
   Chapter 2 An Algebraic Characterization of Rainbow Connectivity
4. Altmetric Badge
   Chapter 3 Application of the Method of Asymptotic Solution to One Multi-Parameter Problem
5. Altmetric Badge
   Chapter 4 A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers
6. Altmetric Badge
   Chapter 5 Lightweight Abstraction for Mathematical Computation in Java
7. Altmetric Badge
   Chapter 6 Calculation of Normal Forms of the Euler–Poisson Equations
8. Altmetric Badge
   Chapter 7 Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem
9. Altmetric Badge
   Chapter 8 Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates
10. Altmetric Badge
    Chapter 9 Comprehensive Involutive Systems
11. Altmetric Badge
    Chapter 10 A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials
12. Altmetric Badge
    Chapter 11 The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System
13. Altmetric Badge
    Chapter 12 Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics
14. Altmetric Badge
    Chapter 13 Symbolic-Numerical Calculations of High-| m | Rydberg States and Decay Rates in Strong Magnetic Fields
15. Altmetric Badge
    Chapter 14 Quasi-stability versus Genericity
16. Altmetric Badge
    Chapter 15 Invariant Theory: Applications and Computations
17. Altmetric Badge
    Chapter 16 Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems
18. Altmetric Badge
    Chapter 17 On Fulton’s Algorithm for Computing Intersection Multiplicities
19. Altmetric Badge
    Chapter 18 A Note on the Space Complexity of Fast D-Finite Function Evaluation
20. Altmetric Badge
    Chapter 19 Inversion Modulo Zero-Dimensional Regular Chains
21. Altmetric Badge
    Chapter 20 Sparse Polynomial Powering Using Heaps
22. Altmetric Badge
    Chapter 21 Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems
23. Altmetric Badge
    Chapter 22 Parallel Reduction of Matrices in Gröbner Bases Computations
24. Altmetric Badge
    Chapter 23 Real and Complex Polynomial Root-Finding by Means of Eigen-Solving
25. Altmetric Badge
    Chapter 24 Root-Refining for a Polynomial Equation
26. Altmetric Badge
    Chapter 25 PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks
27. Altmetric Badge
    Chapter 26 Approximately Singular Systems and Ill-Conditioned Polynomial Systems
28. Altmetric Badge
    Chapter 27 Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier–Stokes Equations
29. Altmetric Badge
    Chapter 28 Verifiable Conditions on Asymptotic Stabilisability for a Class of Planar Switched Linear Systems
30. Altmetric Badge
    Chapter 29 Improving Angular Speed Uniformity by Optimal C 0 Piecewise Reparameterization
31. Altmetric Badge
    Chapter 30 Usage of Modular Techniques for Efficient Computation of Ideal Operations