作者：勒维克(Randall·J.LeVequ
页数：214
出版社：世界图书出版公司
出版日期：2010
ISBN：9787510027406
电子书格式：PDF
PDF下载地址
内容简介
these notes developed from a course on the numerical solution of conservation laws first taught at the university of washington in the fall of 1988 and then at eth during the following spring.
the overall emphasis is on studying the mathematical tools that are essential in developing, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. a reasonable understanding of the mathematical structure of these equations and their solutions is first required, and part i of these notes deals with this theory. part ii deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. i have stressed the underlying ideas used in various classes of methods rather than presenting the most sophisticated methods in great detail. my aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding.
本书特色
《守恒定律用的数值法》是由世界图书出版公司出版的。
目录
1 introduction
1.1 conservation laws
1.2 applications
1.3 mathematical difficulties
1.4 numerical difficulties
1.5 some references
2 the derivation of conservation laws
2.1 integral and differential forms
2.2 scalar equations
2.3 diffusion
3 scalar conservation laws
3.1 the linear advection equation
3.2 burgers’ equation
3.3 shock formation
节选
《守恒定律用的数值法》内容简介：These notes developed from a course on the numerical solution of conservation lawsfirst taught at the University of Washington in the fall of 1988 and then at ETH duringthe following spring.The overall emphasis is on studying the mathematical tools that are essential in de-veloping, analyzing, and successfully using numerical methods for nonlinear systems ofconservation laws, particularly for problems involving shock waves. A reasonable un-derstanding of the mathematical structure of these equations and their solutions is firstrequired, and Part I of these notes deals with this theory. Part II deals more directly withnumerical methods, again with the emphasis on general tools that are of broad use. Ihave stressed the underlying ideas used in various classes of methods rather than present-ing the most sophisticated methods in great detail. My aim was to provide a sufficientbackground that students could then approach the current research literature with thenecessary tools and understanding.