Numerical solution of elliptic and parabolic partial differential equations /
نام عام مواد
[Book]
نام نخستين پديدآور
John A. Trangenstein
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York :
نام ناشر، پخش کننده و غيره
Cambridge University Press,
تاریخ نشرو بخش و غیره
2012
مشخصات ظاهری
نام خاص و کميت اثر
xix, 635 p. :
ساير جزييات
ill. ;
ابعاد
26 cm +
مواد همراه اثر
1 CD-ROM (4 3/4 in.)
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. 616-627) and indexes
یادداشتهای مربوط به مندرجات
متن يادداشت
Preface; 1. Introduction to partial differential equations -- 2. Parabolic equations -- 3. Iterative linear algebra -- 4. Introduction to finite element methods -- 5. Finite element theory -- 6. Finite element approximations -- 7. Mixed and hybrid finite elements -- 8. Finite elements for parabolic equations -- 9. Finite elements and multigrid -- 10. Local refinement
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which is available online and on the accompanying CD-ROM)"--