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Computer Algebra in Scientific Computing

Overview of attention for book
Computer Algebra in Scientific Computing
Springer Nature Switzerland

Table of Contents

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    Book Overview
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    Chapter 1 Computing GCDs of Multivariate Polynomials over Algebraic Number Fields Presented with Multiple Extensions
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    Chapter 2 Generating Elementary Integrable Expressions
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    Chapter 3 How to Automatise Proofs of Operator Statements: Moore–Penrose Inverse; A Case Study
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    Chapter 4 A Modular Algorithm for Computing the Intersection of a One-Dimensional Quasi-Component and a Hypersurface
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    Chapter 5 Certified Study of Internal Solitary Waves
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    Chapter 6 Root-Squaring for Root-Finding
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    Chapter 7 Symbolic-Numerical Algorithm for Solving the Problem of Heavy Ion Collisions in an Optical Model with a Complex Potential
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    Chapter 8 On the Complexity of Linear Algebra Operations over Algebraic Extension Fields
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    Chapter 9 Range Functions of Any Convergence Order and Their Amortized Complexity Analysis
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    Chapter 10 Stability and Zero-Hopf Bifurcation Analysis of the Lorenz–Stenflo System Using Symbolic Methods
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    Chapter 11 Non-principal Branches of Lambert W. A Tale of 2 Circles
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    Chapter 12 On the Qualitative Analysis of the Equations of Motion of a Nonholonomic Mechanical System
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    Chapter 13 Solving Parametric Linear Systems Using Sparse Rational Function Interpolation
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    Chapter 14 On the Distance to the Nearest Defective Matrix
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    Chapter 15 Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals
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    Chapter 16 On the Structure and Generators of Differential Invariant Algebras
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    Chapter 17 An Algorithm for the Intersection Problem of Planar Parametric Curves
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    Chapter 18 A Symbolic-Numeric Method for Solving the Poisson Equation in Polar Coordinates
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    Chapter 19 Two Variants of Bézout Subresultants for Several Univariate Polynomials
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    Chapter 20 Efficient Quotients of Non-commutative Polynomials
Attention for Chapter 10: Stability and Zero-Hopf Bifurcation Analysis of the Lorenz–Stenflo System Using Symbolic Methods
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Chapter title
Stability and Zero-Hopf Bifurcation Analysis of the Lorenz–Stenflo System Using Symbolic Methods
Chapter number 10
Book title
Computer Algebra in Scientific Computing
Published by
Springer, Cham, January 2023
DOI 10.1007/978-3-031-41724-5_10
Book ISBNs
978-3-03-141723-8, 978-3-03-141724-5
Authors

Huang, Bo, Li, Xiaoliang, Niu, Wei, Xie, Shaofen

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