A Graduate Introduction to Numerical Methods From the Viewpoint of Backward Error Analysis /

• Κύριοι συγγραφείς: Corless, Robert M. (Συγγραφέας), Fillion, Nicolas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Θέματα: Mathematics.; Computer mathematics.; Numerical analysis.; Computational Mathematics and Numerical Analysis.; Computational Science and Engineering.; Numerical Analysis.

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the...

Πίνακας περιεχομένων:

• Computer Arithmetic & Fundamental Concepts of Computation
• Polynomials and Series
• Rootfinding and Function Evaluation
• Solving Ax = b
• Solving Ax =l x
• Structured Linear Systems.-Iterative Methods
• Polynomial and Rational Interpolation
• The Discrete Fourier Transform
• Numerical Integration
• Numerical Differentiation and Finite Differences
• Numerical Solution of ODEs
• Numerical Methods for ODEs
• Numerical Solutions of Boundary Value Problems
• Numerical Solution of Delay DEs
• Numerical Solution of PDEs.