Introduction to Scientific Computing and Data Analysis / by Mark H. Holmes.

Format:

Book

Author/Creator:

Holmes, Mark H., Author.

Series:

Texts in Computational Science and Engineering, 1611-0994 ; 13

Language:

English

Subjects (All):

Computer science--Mathematics.

Computer science.

Mathematical optimization.

Differential equations, Partial.

Computational Science and Engineering.

Optimization.

Partial Differential Equations.

Local Subjects:

Computational Science and Engineering.

Optimization.

Partial Differential Equations.

Physical Description:

1 online resource (XIV, 497 p. 177 illus., 138 illus. in color.)

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2016.

Summary:

This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.

Contents:

Introduction to Scientific Computing

Solving a Nonlinear Equation

Matrix Equations

Eigenvalue Problems

Interpolation

Numerical Integration

Initial Value Problems

Optimization

Data Analysis

Appendices.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-30256-6

OCLC:

951672252