Solving Hyperbolic Equations with Finite Volume Methods

• Κύριος συγγραφέας: Vázquez-Cendón, M. Elena (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: UNITEXT, 90
• Θέματα: Computer science.; Software engineering.; Computer mathematics.; Physics.; Applied mathematics.; Engineering mathematics.; Environmental sciences.; Computer Science.; Software Engineering.; Appl.Mathematics/Computational Methods of Engineering.; Math. Appl. in Environmental Science.; Computational Mathematics and Numerical Analysis.; Mathematical Methods in Physics.

Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection o...

Πίνακας περιεχομένων:

• 1 Part I Basic concepts and examples of environmental and industrial interest
• 2 Motivation
• 3 Hyperbolic conservation laws. Basic concepts and examples
• 4 Types of solutions to hyperbolic systems of conservation laws
• 5 Biographical summary of Professor Peter Lax
• 6 Part II Finite volume methods applied to the hyperbolic conservation laws
• 7 1D hyperbolic linear systems
• 8 1D Non-linear hyperbolic systems
• 9 Biographical summary of Professor Sergei Konstantinovich Godunov
• 10 Part III MATLAB codes for the studied methods
• 11 Codes for the linear transport equation
• 12 Codes for the Burgers equation
• 13 Biographical summary of Professor Eleuterio Francisco Toro.