雙曲問題用的有限元方法

內(nèi)容概要

This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear　problems and nonlinear conservation laws. These equations describe a wide range of wavepropagation and transport phenomena arising in nearly every scientific and engineering　discipline. Several applications are described in a self-contained manner, along with much　of the　mathematical theory of hyperbolic problems. High-resolution versions of Godunov's　method are developed, in which Riemann problems are solved to determine the local wave　structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools　for studying linear wave-propagation problems, particularly in heterogenous material. The　methods studied are implemented in the CLAWPACK software package. Source code for all　the examples presented can be found on the web, along with animations of many timedependent solutions. This provides an excellent learning environment for understanding　wave-propagation phenomena and finite volume methods.

書籍目錄

The Text of Kafka’s Selected Stories 　The Judgment • A Story 　The Stoker • A Fragment 　In the Penal Colony 　A Country Doctor • Little Stories 　　The New Lawyer 　　A Country Doctor 　　Up in the Gallery 　　A Page from an Old Document 　　Before the Law 　　Jackals and Arabs 　　The Worry of the Father of the Family 　　A Fratricide 　　A Dream 　　A Report to an Academy 　A Starving Artist. Four Stories 　　First Distress 　　A Starving-Artist 　　Josefine, the Singer or the Mouse People 　　Posthumously Published Stories 　　The Bridge 　　The Hunter Gracchus: Two Fragments 　　Building the Great Wall of China 　　The Knock at the Courtyard Gate 　　A Cross 　　An Everyday Event 　　The Silence of the Sirens 　　Prometheus 　　Poseidon 　　On the Question of the Laws 　　Researches of a Dog 　　A Comment 　　On Parables 　　The Burrow Backgrounds and Contexts 　Letters, Diaries, and Conversations Criticism 　Stanley Corngold • Preface 　In the Circle of "The Judgment" 　Danielle Allen • Sounding Silence [In the Penal Colony] 　Walter Hinderer • An Anecdote by Kafka: "A Fratricide" 　Walter Sokel • Identity and the Individual, or Past and Present: 　Franz Kafka’s　"A Report to an Academy" in a Psychoanalytic and a Sociohistorical 　Context 　Nicola Gess • The Politics of Listening: The Power of Song in 　"Josefine, the Singer" 　Vivian Liska • Positions: on Franz Kafka’s "Poseidon" 　Benno Wagner • "No one indicates the direction": The Question of 　Leadership in Kafka’s Later Stories 　John A. Hargraves • Kafka and Silence: An Alternate View of Music 　Gerhard Kurz • The Rustling of Stillness: Approaches to Kafka’s 　"The Burrow" Franz Kafka: A Chronology Selected Bibliography

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