Introduction to Partial Differential Equations A Computational Approach /

• Κύριοι συγγραφείς: Tveito, Aslak (Συγγραφέας), Winther, Ragnar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 1998.
• Σειρά: Texts in Applied Mathematics, 29
• Θέματα: Mathematics.; Computer science > Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Numerical analysis.; Physics.; Analysis.; Numerical Analysis.; Mathematics of Computing.; Mathematical Methods in Physics.; Numerical and Computational Physics.

“It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in...

Πίνακας περιεχομένων:

• Setting the Scene
• Two-Point Boundary Value Problems
• The Heat Equation
• Finite Difference Schemes For The Heat Equation
• The Wave Equation
• Maximum Principles
• Poisson’s Equation in Two Space Dimensions
• Orthogonality and General Fourier Series
• Convergence of Fourier Series
• The Heat Equation Revisited
• Reaction-Diffusion Equations
• Applications of the Fourier Transform.