Essential Partial Differential Equations Analytical and Computational Aspects /

• Κύριοι συγγραφείς: Griffiths, David F. (Συγγραφέας), Dold, John W. (Συγγραφέας), Silvester, David J. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Springer Undergraduate Mathematics Series,
• Θέματα: Mathematics.; Partial differential equations.; Mathematical physics.; Computer mathematics.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Computational Mathematics and Numerical Analysis.

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy metho...

Πίνακας περιεχομένων:

• Setting the scene
• Boundary and initial data
• The origin of PDEs
• Classification of PDEs
• Boundary value problems in R1
• Finite difference methods in R1
• Maximum principles and energy methods
• Separation of variables
• The method of characteristics
• Finite difference methods for elliptic PDEs
• Finite difference methods for parabolic PDEs
• Finite difference methods for hyperbolic PDEs
• Projects.