東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Splitting Methods for Partial Differ...

Holden, Helge,

FindBook

Google Book

Amazon

博客來

Splitting Methods for Partial Differential Equations with Rough Solutions = Analysis and MATLAB programs /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Splitting Methods for Partial Differential Equations with Rough Solutions/ Helge Holden, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Nils Henrik Risebro
其他題名:	Analysis and MATLAB programs /
作者:	Holden, Helge,
其他作者:	Karlsen, Kenneth Hvistendahl,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2010,
面頁冊數:	1 online resource (234 pages)
標題:	Differential equations -
電子資源:	https://doi.org/10.4171/078
電子資源:	https://www.ems-ph.org/img/books/holden_mini.jpg
ISBN:	9783037195789

Splitting Methods for Partial Differential Equations with Rough Solutions = Analysis and MATLAB programs /
Holden, Helge,

Splitting Methods for Partial Differential Equations with Rough SolutionsAnalysis and MATLAB programs /[electronic resource] :Helge Holden, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Nils Henrik Risebro - Zuerich, Switzerland :European Mathematical Society Publishing House,2010 - 1 online resource (234 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws, sharp error estimates are provided and for convection-diffusion equations one discusses a priori and a posteriori correction of entropy errors introduced by the splitting. Numerical methods include finite difference and finite volume methods as well as front tracking. The theory is illustrated by numerous examples. There is a dedicated web page that provides MATLAB codes for many of the examples. The book is suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.

ISBN: 9783037195789

Standard No.: 10.4171/078doiSubjects--Topical Terms:

704075
Differential equations

Splitting Methods for Partial Differential Equations with Rough Solutions = Analysis and MATLAB programs /
LDR:02392nmm a22003135a 4500 001 2233203
003 CH-001817-3
005 20100420234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20100430sz fot ||| 0|eng d
020 $a 9783037195789
024 7 0 $a 10.4171/078 $2 doi
035 $a 112-100420
040 $a ch0018173
072 7 $a PBKJ $2 bicssc
072 7 $a PBS $2 bicssc
084 $a 65-xx $a 35-xx $a 47-xx $2 msc
100 1 $a Holden, Helge, $e author. $3 3480975
245 1 0 $a Splitting Methods for Partial Differential Equations with Rough Solutions $h [electronic resource] : $b Analysis and MATLAB programs / $c Helge Holden, Kenneth Hvistendahl Karlsen, Knut-Andreas Lie, Nils Henrik Risebro
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2010
300 $a 1 online resource (234 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Series of Lectures in Mathematics (ELM) ; $x 2523-5176
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws, sharp error estimates are provided and for convection-diffusion equations one discusses a priori and a posteriori correction of entropy errors introduced by the splitting. Numerical methods include finite difference and finite volume methods as well as front tracking. The theory is illustrated by numerous examples. There is a dedicated web page that provides MATLAB codes for many of the examples. The book is suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Numerical analysis $3 1245518
650 0 7 $a Partial differential equations $2 msc. $3 1597893
650 0 7 $a Operator theory $v Congresses. $3 1325393
700 1 $a Karlsen, Kenneth Hvistendahl, $e author. $3 3480976
700 1 $a Lie, Knut-Andreas, $e author. $3 3480977
700 1 $a Risebro, Nils Henrik, $e author. $3 3480978
856 4 0 $u https://doi.org/10.4171/078
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/holden_mini.jpg