Scientific Computing: For Scientists and Engineers

Scientific Computing for Scientists and Engineers is a book that teaches undergraduate students numerical methods and fundamentals in scientific computing, including approximation, accuracy, and efficiency, with examples in MATLAB.

Format: Paperback / softback
Length: 184 pages
Publication date: 03 April 2023
Publisher: De Gruyter

Scientific Computing for Scientists and Engineers is a comprehensive course designed to equip undergraduate students with essential numerical methods and fundamental principles in scientific computing. The field of science and engineering relies heavily on the solution of mathematical problems, many of which can only be tackled through computer-based approaches. Accurately approximating these complex problems necessitates the use of advanced numerical techniques, such as solving differential equations and linear systems with millions of unknowns. Fortunately, the power of computers allows for the implementation of smart algorithms that significantly speed up the calculation process, reducing it from years to minutes or even seconds.

This book aims to provide a comprehensive understanding of how to approximate these critical mathematical processes, evaluate the accuracy of our approximations, and assess the efficiency of our approaches. It covers a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems. Additionally, the course delves into scientific computing fundamentals, including floating-point representation of numbers and convergence.

The book also includes an analysis of accuracy and efficiency, emphasizing the importance of understanding the limitations and trade-offs of different numerical methods. To illustrate the algorithms and apply them to real-life problems, the book provides simple programming examples in MATLAB. Furthermore, the course includes a series of exercises to reinforce all topics, allowing students to practice and apply their knowledge.

By completing this course, students will gain a solid foundation in scientific computing and be well-prepared to tackle complex mathematical problems in the fields of science and engineering.

Weight: 334g
Dimension: 170 x 240 x 19 (mm)
ISBN-13: 9783110999617
Edition number: 2nd Edition