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Computer Algebra in Scientific Computing

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Cover of 'Computer Algebra in Scientific Computing'

Table of Contents

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    Book Overview
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    Chapter 1 Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems
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    Chapter 2 Relation Algebra, RelView , and Plurality Voting
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    Chapter 3 An Algorithm for Converting Nonlinear Differential Equations to Integral Equations with an Application to Parameter Estimation from Noisy Data
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    Chapter 4 Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains
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    Chapter 5 Computing the Topology of an Arrangement of Implicit and Parametric Curves Given by Values
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    Chapter 6 Finding a Deterministic Generic Position for an Algebraic Space Curve
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    Chapter 7 Optimal Estimations of Seiffert-Type Means By Some Special Gini Means
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    Chapter 8 CAS Application to the Construction of High-Order Difference Schemes for Solving Poisson Equation
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    Chapter 9 On Symbolic Solutions of Algebraic Partial Differential Equations
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    Chapter 10 Eigenvalue Method with Symmetry and Vibration Analysis of Cyclic Structures
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    Chapter 11 Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials
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    Chapter 12 Sporadic Examples of Directed Strongly Regular Graphs Obtained By Computer Algebra Experimentation
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    Chapter 13 On the Parallelization of Subproduct Tree Techniques Targeting Many-Core Architectures
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    Chapter 14 Deterministically Computing Reduction Numbers of Polynomial Ideals
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    Chapter 15 A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields
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    Chapter 16 Invariant Manifolds in the Classic and Generalized Goryachev–Chaplygin Problem
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    Chapter 17 Coherence and Large-Scale Pattern Formation in Coupled Logistic-Map Lattices via Computer Algebra Systems
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    Chapter 18 On the Computation of the Determinant of a Generalized Vandermonde Matrix
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    Chapter 19 Computer Algebra in Scientific Computing
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    Chapter 20 Sharpness in Trajectory Estimation for Planar Four-points Piecewise-Quadratic Interpolation
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    Chapter 21 Scheme for Numerical Investigation of Movable Singularities of the Complex Valued Solutions of Ordinary Differential Equations
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    Chapter 22 Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents ( Invited Talk )
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    Chapter 23 Lie Symmetry Analysis for Cosserat Rods
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    Chapter 24 Real Polynomial Root-Finding by Means of Matrix and Polynomial Iterations
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    Chapter 25 On Testing Uniqueness of Analytic Solutions of PDE with Boundary Conditions
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    Chapter 26 Continuous Problems: Optimality, Complexity, Tractability ( Invited Talk )
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    Chapter 27 On Integrability of Evolutionary Equations in the Restricted Three-Body Problem with Variable Masses
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    Chapter 28 Factoring Sparse Bivariate Polynomials Using the Priority Queue
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    Chapter 29 Solving Parametric Sparse Linear Systems by Local Blocking
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    Chapter 30 Analytical Calculations in Maple to Implement the Method of Adiabatic Modes for Modelling Smoothly Irregular Integrated Optical Waveguide Structures
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    Chapter 31 CAS Application to the Construction of the Collocations and Least Residuals Method for the Solution of the Burgers and Korteweg–de Vries–Burgers Equations
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    Chapter 32 An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class
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    Chapter 33 Applications of the Newton Index to the Construction of Irreducible Polynomials
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    Chapter 34 Symbolic-Numeric Algorithm for Solving the Problem of Quantum Tunneling of a Diatomic Molecule through Repulsive Barriers
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    Chapter 35 Enumeration of Schur Rings Over Small Groups
Attention for Chapter 9: On Symbolic Solutions of Algebraic Partial Differential Equations
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Chapter title
On Symbolic Solutions of Algebraic Partial Differential Equations
Chapter number 9
Book title
Computer Algebra in Scientific Computing
Published by
Springer, Cham, September 2014
DOI 10.1007/978-3-319-10515-4_9
Book ISBNs
978-3-31-910514-7, 978-3-31-910515-4
Authors

Georg Grasegger, Alberto Lastra, J. Rafael Sendra, Franz Winkler

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Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 100%
Readers by discipline Count As %
Mathematics 1 100%