Linear Integral Equations

• Κύριος συγγραφέας: Kress, Rainer (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Έκδοση: 3rd ed. 2014.
• Σειρά: Applied Mathematical Sciences, 82
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Measure theory.; Numerical analysis.; Analysis.; Numerical Analysis.; Measure and Integration.; Signal, Image and Speech Processing.

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in di...

Πίνακας περιεχομένων:

• Normed Spaces
• Bounded and Compact Operators
• Riesz Theory
• Dual Systems and Fredholm Alternative
• Regularization in Dual Systems
• Potential Theory
• Singular Integral Equations
• Sobolev Spaces
• The Heat Equation
• Operator Approximations .-Degenerate Kernel Approximation
• Quadrature Methods
• Projection Methods
• Iterative Solution and Stability
• Equations of the First Kind
• Tikhonov Regularization
• Regularization by Discretization
• Inverse Boundary Value Problems
• References
• Index.