Matrix, Numerical, and Optimization Methods in Science and Engineering

7,753.54

ISBN: 9781108479097
Author/Editor: Kevin Cassel

Publisher: Cambridge University Press

Year: 2021

2 in stock (can be backordered)

SKU: ABD-CUP-5548 Category:

Description

Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

Unifies topics in matrix, numerical, and optimization methods along with dynamical systems
Illustrates the connections between linear algebraic and differential equations
Features end-of-chapter exercises and online solutions

Additional information

Weight 1.3 kg

Product Properties

Year of Publication

2021

Table of Contents

Part I. Matrix Methods: 1. Vector and matrix algebra 2. Algebraic eigenproblems and their applications 3. Differential eigenproblems and their applications 4. Vector and matrix calculus 5. Analysis of discrete dynamical systems Part II. Numerical Methods: 6. Computational linear algebra 7. Numerical methods for differential equations 8. Finite-difference methods for boundary-value problems 9. Finite-difference methods for initial-value problems Part III. Least Squares and Optimization: 10. Least-squares methods 11. Data analysis ?curve fitting and interpolation 12. Optimization and root finding of algebraic systems 13. Data-driven methods and reduced-order modeling.

Author

Kevin Cassel

ISBN/ISSN

9781108479097

Binding

Hardback

Edition

1

Publisher

Cambridge University Press

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