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"
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