Computer Algebra in Scientific Computing

Table of Contents

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   Book Overview
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   Chapter 1 On m -Interlacing Solutions of Linear Difference Equations
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   Chapter 2 Parametric Analysis of Stability Conditions for a Satellite with Gyrodines
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   Chapter 3 Computing and Visualizing Closure Objects Using Relation Algebra and RelView
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   Chapter 4 On Integrability of a Planar ODE System Near a Degenerate Stationary Point
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   Chapter 5 Conditions of D-Stability of the Fifth-Order Matrices
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   Chapter 6 Code Generation for Polynomial Multiplication
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   Chapter 7 Solving Structured Polynomial Systems and Applications to Cryptology
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   Chapter 8 The Comparison Method of Physical Quantity Dimensionalities
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    Chapter 9 Ambient Isotopic Meshing for Implicit Algebraic Surfaces with Singularities
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    Chapter 10 Involution and Difference Schemes for the Navier–Stokes Equations
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    Chapter 11 A Mathematica Package for Simulation of Quantum Computation
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    Chapter 12 On Computing the Hermite Form of a Matrix of Differential Polynomials
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    Chapter 13 On the Computation of Comprehensive Boolean Gröbner Bases
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    Chapter 14 On Invariant Manifolds of Dynamical Systems in Lie Algebras
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    Chapter 15 On the Complexity of Reliable Root Approximation
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    Chapter 16 Algebraic Approach to the Computation of the Defining Polynomial of the Algebraic Riccati Equation
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    Chapter 17 Discrete Dynamics: Gauge Invariance and Quantization
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    Chapter 18 Effective Quantifier Elimination for Presburger Arithmetic with Infinity
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    Chapter 19 An Algorithm for Symbolic Solving of Differential Equations and Estimation of Accuracy
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    Chapter 20 Lazy and Forgetful Polynomial Arithmetic and Applications
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    Chapter 21 On the Average Growth Rate of Random Compositions of Fibonacci and Padovan Recurrences
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    Chapter 22 A Study on Gröbner Basis with Inexact Input
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    Chapter 23 Modular Algorithms for Computing a Generating Set of the Syzygy Module
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    Chapter 24 A Symbolic Framework for Operations on Linear Boundary Problems
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    Chapter 25 Mathematical Model for Dengue Epidemics with Differential Susceptibility and Asymptomatic Patients Using Computer Algebra
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    Chapter 26 Multiple Factorizations of Bivariate Linear Partial Differential Operators
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    Chapter 27 Computing Gröbner Bases within Linear Algebra
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    Chapter 28 A Mimetic Finite-Difference Scheme for Convection of Multicomponent Fluid in a Porous Medium
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    Chapter 29 Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity
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    Chapter 30 New Analytic Solutions of the Problem of Gas Flow in a Casing with Rotating Disc
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    Chapter 31 Hybrid Solution of Two-Point Linear Boundary Value Problems