Title: Third Order Difference Methods for Hyperbolic Equations Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332894542
ISBN 13: 9781332894543
Binding: PAP
Condition: New
Weight: 150 grams

About this title

Synopsis

Explore how to design high‑order difference schemes for hyperbolic equations

Discover a clear path to building numerically stable methods that are uniformly accurate in space and time. This book presents a third‑order approach in both directions, rooted in flux-conserving forms and practical computations.

The work surveys classic ideas and modern refinements for solving conservation laws. It explains how Runge–Kutta–type steps can achieve high accuracy with repeated evaluations of the flux function, while also offering alternative schemes that minimize computations. You’ll see how Strang’s ideas and Richtmyer’s two‑step framework contribute to efficient, stable methods. The text discusses the tradeoffs of third‑order accuracy, including when nonpositive weights enter the scheme and how stability is analyzed.

Learn how to construct, analyze, and implement third‑order difference operators for hyperbolic PDEs
Understand the role of conservation form and flux evaluation in achieving accuracy
Compare different strategies (two‑step methods, Strang splitting, and multi‑step Runge–Kutta approaches)
Explore stability considerations and practical guidance for choosing time steps

Ideal for readers of numerical analysis, computational physics, and engineering who want a rigorous yet accessible treatment of high‑order finite difference schemes.

"About this title" may belong to another edition of this title.

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