Methods and Applications of Singular Perturbations Boundary Layers and Multiple Timescale Dynamics /

• Κύριος συγγραφέας: Verhulst, Ferdinand (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2005.
• Σειρά: Texts in Applied Mathematics, 50
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Physics.; Ordinary Differential Equations.; Partial Differential Equations.; Mathematical Methods in Physics.; Dynamical Systems and Ergodic Theory.; Numerical Analysis.; Applications of Mathematics.

Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differ...

Πίνακας περιεχομένων:

• Basic Material
• Approximation of Integrals
• Boundary Layer Behaviour
• Two-Point Boundary Value Problems
• Nonlinear Boundary Value Problems
• Elliptic Boundary Value Problems
• Boundary Layers in Time
• Evolution Equations with Boundary Layers
• The Continuation Method
• Averaging and Timescales
• Advanced Averaging
• Averaging for Evolution Equations
• Wave Equations on Unbounded Domains.