Numerical Methods in Astrophysics

Featuring numerous illustrative examples, this practical guide for students, researchers, and professionals introduces numerical methods that may be used to solve key problems in astrophysics. Coverage includes (for example) Eulerian equations of hydrodynamics, Navier- Stokes equations, stellar structure equations, and equations of radiation hydrodynamics. Numerical codes and graphs of sample results are provided on the accompanying CD-ROM. Bodenheimer is affiliated with the U. of California, Santa Cruz. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

Numerical methods have become a major research tool in astrophysics, and astrophysics students need to be fully conversant with a variety of mathematical and computational techniques. This highly practical guide discusses some of the major problems in astrophysics that have to be solved numerically, requiring hydrodynamics, MHD and radiative transfer for their solution. It summarizes the advantages and disadvantages of various techniques that could be used on a given problem and includes examples from recently published solutions, and basic codes, which can be developed into research tools. The book includes a full range of sample problems for the student, making it an ideal course text.

Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, and suggests ways to test for and reduce the inevitable negative effects.

After an introduction to the basic equations and derivations, the book focuses on practical applications of the numerical methods. It explores hydrodynamic problems in one dimension, N-body particle dynamics, smoothed particle hydrodynamics, and stellar structure and evolution. The authors also examine advanced techniques in grid-based hydrodynamics, evaluate the methods for calculating the gravitational forces in an astrophysical system, and discuss specific problems in grid-based methods for radiation transfer. The book incorporates brief user instructions and a CD-ROM of the numerical codes, allowing readers to experiment with the codes to suit their own needs.

With numerous examples and sample problems that cover a wide range of current research topics, this highly practical guide illustrates how to solve key astrophysics problems, providing a clear introduction for graduate and undergraduate students as well as researchers and professionals.