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Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations

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Cover of 'Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Principle of the Verification
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    Chapter 2 Newton-Type Approaches in Finite Dimension
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    Chapter 3 Infinite-Dimensional Newton-Type Method
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    Chapter 4 Applications to the Computer-Assisted Proofs in Analysis
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    Chapter 5 Evolutional Equations
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    Chapter 6 Semilinear Elliptic Boundary Value Problems: Abstract Approach and Strong Solutions
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    Chapter 7 Weak Solutions
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    Chapter 8 Fourth-Order Problems
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    Chapter 9 Other Problem Types
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    Chapter 10 Eigenvalue Bounds for Self-Adjoint Eigenvalue Problems
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    Chapter 11 Computer-Assisted Proofs for Dynamical Systems
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    Chapter 12 Basic Tools
Attention for Chapter 5: Evolutional Equations
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