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.
目录
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
