Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics)
Publisher: Cambridge University Press
Published: August 26, 2002
Language: eng
Format: Paperback
Number of pages: 578
ISBN-13: 9780521009249
Subjects: Applied mathematics; Differential Equations; Numerical analysis; Differential equations, Hyperbolic; Mathematics; Science/Mathematics; Numerical solutions; Finite volume method; Differential Equations - Partial Differential Equations; Differential equations, Hyperbolic--Numerical solutions; Mathematics / Mathematical Analysis; Conservation laws (Mathematics); Advanced; Conservation laws (Mathematics; Differential equations, Hyperb
First sentence: To see how conservation laws arise from physical principles, we will begin by considering the simplest possible fluid dynamics problem, in which a gas or liquid is flowing through a one-dimensional pipe with some known velocity u(x, t), which is assumed to vary only with x, the distance along the pipe, and time t.