This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since…
This book presents developments in the geometric approach to nonlinear partial differential equations (PDEs). The expositions discuss the main features of the approach, and the theory of symmetries and the conservation laws based on it. The book combines rigorous mathematics wit…
Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the ca…
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperb…
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Nonstrictly hyperbolic conservation laws: proceedings of an AMS special session, held in Ja…
by Special Session on Nonstrictly Hyperbolic Conservation Laws, Anaheim, Calif, Keyfitz, Barbara Lee, Kranzer, Herbert C., American Mathematical Society., Meeting, Anaheim, Calif.)
fromContemporary mathematics (American Mathematical Society)
Nonstrictly hyperbolic conservation laws: proceedings of an AMS special session, held in Ja…
by Special Session on Nonstrictly Hyperbolic Conservation Laws, Anaheim, Calif, Keyfitz, Barbara Lee, Kranzer, Herbert C., American Mathematical Society
fromContemporary mathematics (American Mathematical Society)