Third Order Difference Methods for Hyperbolic Equations (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.68
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book presents a bespoke set of uniformly third order accurate difference schemes for solving hyperbolic equations in one and two space dimensions. The methods are applicable to nonlinear initial value problems and differ from existing methods in that they have been constructed in divergent form using a similar approach to the original differential equations. This approach avoids many complex calculations and disadvantages that would present themselves in other methods and provides a highly efficient means of computation. The book furthermore analyzes the stability of these new difference schemes, with results that show potential for both computational efficiency and high accuracy that could prove useful for solving problems in gas dynamics and other fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332894543_0
- Title
- Third Order Difference Methods for Hyperbolic Equations (Classic Reprint)
- Author
- Samuel Z. Burstein, Arthur Mirin
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332894542
- ISBN 13
- 9781332894543
- Seller catalogs
- Calculus
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
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
Shipping rates from United Kingdom to U.S.A.
| Item | 5 to 10 business days | 5 to 10 business days |
|---|---|---|
| First item | US$ 0.00 | US$ 0.00 |
Payment methods
Store description
Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
Specialty
TradeSeller's business information
FB &c Ltd
Dalton House, 60 Windsor Avenue
London, United Kingdom SW19 2RR
Terms of sale
All books are Print on Demand and will be printed upon purchase and shipped in New Condition. Orders typically ship within 3-5 business days. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the ask bookseller a question link to contact us and we'll respond within 2 business days.
Other policies
Please note that we cannot accept cancellation requests once an order has been placed.
All Forgotten Books titles are printed on demand. The moment an order is submitted, it is automatically transmitted to our distributor and then forwarded to the printer, where it enters production. This process begins within minutes and is entirely automated.
A cancellation, however, is a manual, multi-step request that must pass through several systems. By the time such a request reaches the appropriate stage, the book has almost always been printed, packed, or already dispatched, which makes cancellation impossible.
For this reason, we kindly ask that you double-check the title, edition, and your shipping details before placing an order.
If you change your mind after ordering, you are welcome to return the book once it arrives, and a refund will be issued in accordance with AbeBooks’ return policy.
Please also make sure your address is correct before ordering as we will no be able to intervene and make changes before the book is shipped.
We can provide digital samples for all our print books ahead, so don't hesitate to reach out.
Returns
As a small publisher we do not have the facilities to resell returned books, so any returned book will be recycled. If the book is damaged or defective please continue with the return process, and thank you for letting us know so that we can improve our products. If you’re returning for another reason, however, please consider whether you could donate or gift the book instead so that it avoids the waste pile.
Thank you in advance!
Shipping terms
We are committed to minimizing our environmental impact and reducing shipping costs by manufacturing and shipping our products as close to our customers as possible. For orders within the United States, your items are shipped from the USA with final delivery done by USPS.
UK and European orders are fulfilled from the UK through various couriers.
Canadian orders may be shipped from either Canada or the USA via Canada Post or UPS, depending on the size of the order.
For our customers in other regions around the world, we ensure that your orders are shipped from the closest available location to reduce delivery times and carbon footprint. Our goal is to deliver your products efficiently, no matter where you are located.
Please be aware that depending on the size of your order and local legislation in your country, there may be additional taxes, customs duties, and fees imposed by the destination country. These charges are not included in the item price or shipping cost. They are the responsibility of the customer and must be paid upon delivery.
We recommend checking with your local customs office for more information on potential charges before placing your order. Forgotten Books is not responsible for any customs duties, taxes, or fees incurred.