Numerical Partial Differential Equations: Finite Difference Methods

]. W. Thomas

Informasi Umum

Kode

21.21.088

Klasifikasi

518 - Numerical analysis, numerical calculations, numerical mathematics

Jenis

Buku - Elektronik (E-Book)

Subjek

Numerical

No. Rak

Dilihat

168 kali

Informasi Lainnya

Abstraksi

This textbook is in two parts. The first part contains Chapters 1-7 and is subtitled Finite Difference Methods. The second part contains Chapters 8-11 and is subtitled Conservation Laws and Elliptic Equations. This text was developed from material presented in a year long, graduate course on using difference methods for the numerical solution of partial differential equations. Writing this text has been an iterative process, and much like the Jacobi iteration scheme presented in Chapter 10, it has been a slow iterative process. The course at Colorado State University is designed for graduate students in both applied mathematics and engineering. The students are required to have at least one semester of partial differential equations and some programming capability. Generally, the classes include a broad spectrum of types of students, ranging from first year mathematics graduate students with almost no physical intuition into the types of problems we might solve, to third year engineering graduate students who have a lot of physical intuition and know what types of problems they personally want. to solve and why they want to solve them. Since the students definitely help shape the class that is taught, they probably have also helped to shape this text.