Elliptic Differential Equations Theory and Numerical Treatment /

• Κύριος συγγραφέας: Hackbusch, Wolfgang (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2017.
• Έκδοση: 2nd ed. 2017.
• Σειρά: Springer Series in Computational Mathematics, 18
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; System theory.; Numerical analysis.; Calculus of variations.; Physics.; Analysis.; Numerical Analysis.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.; Theoretical, Mathematical and Computational Physics.

This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before ad...

Πίνακας περιεχομένων:

• 1 Partial Differential Equations and Their Classification Into Types
• 2 The Potential Equation
• 3 The Poisson Equation
• 4 Difference Methods for the Poisson Equation
• 5 General Boundary Value Problems
• 6 Tools from Functional Analysis
• 7 Variational Formulation
• 8 The Method of Finite Elements
• 9 Regularity
• 10 Special Differential Equations
• 11 Eigenvalue Problems
• 12 Stokes Equations.