Scientific Computing

Timo Heister, Leo G. Rebholz

ISBN 10: 3110999617 / ISBN 13: 9783110999617

Published by De Gruyter, DE, 2023

About this Item

Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing. Most problems in science and engineering require the solution of mathematical problems, most of which can only be done on a computer. Accurately approximating those problems requires solving differential equations and linear systems with millions of unknowns, and smart algorithms can be used on computers to reduce calculation times from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate are our approximations? How efficient are our approximations? Scientific Computing for Scientists and Engineers covers: An introduction to a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems; Scientific computing fundamentals like floating point representation of numbers and convergence; Analysis of accuracy and efficiency; Simple programming examples in MATLAB to illustrate the algorithms and to solve real life problems; Exercises to reinforce all topics.

Seller Inventory # LU-9783110999617

Bibliographic Details

• Title: Scientific Computing
• Publisher: De Gruyter, DE
• Publication Date: 2023
• Language: English
• ISBN 10: 3110999617
• ISBN 13: 9783110999617
• Binding: Paperback
• Edition: 2nd Edition.
• Condition: New
• Dimensions: 16.99W x 1.02H x 24.41D centimeters 16.99 centimeters width by 1.02 centimeters height by 24.41 centimeters depth
• Weight: 329 grams

About this title

Synopsis

Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing.

Most problems in science and engineering require the solution of mathematical problems, most of which can only be done on a computer. Accurately approximating those problems requires solving differential equations and linear systems with millions of unknowns, and smart algorithms can be used on computers to reduce calculation times from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate are our approximations? How efficient are our approximations?

Scientific Computing for Scientists and Engineers covers:

• An introduction to a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems;
• Scientific computing fundamentals like floating point representation of numbers and convergence;
• Analysis of accuracy and efficiency;
• Simple programming examples in MATLAB to illustrate the algorithms and to solve real life problems;
• Exercises to reinforce all topics.

About the Author

Timo Heister is an Associate Professor of Mathematical and Statistical Sciences at Clemson University, USA. He is an applied mathematician and a computational scientist researching numerical methods for PDEs using the Finite Element Method including massively parallel computations.

Leo Rebholz is a Professor of Mathematical and Statistical Sciences at Clemson University. He works on development and analysis of discretization methods and solvers for nonlinear partial differential equations arising from physics. He has published 4 books and over 100 journal articles in applied and computational mathematics.