Applied Optimization formulation and Algorithms for Engineering Systems

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The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems so that they can be solved by existing software. It examines various types of numerical problems and develops techniques for solving them. A number of engineering case studies are used to illustrate in detail the formulation process. The case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form.

INTRODUCTION TO APPLIED NUMERICAL ANALYSIS, AN

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his book is based on lecture notes for a numerical analysis course designed mainly for senior undergraduate students majoring in mathematics, engineering, computer science and physical sciences. The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering. This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration. Sample Chapter(s) Preface Chapter 7: Boundary Value Problems Contents: Preliminaries Solution of Linear System of Equations Roots of Nonlinear Equations Polynomial Approximation and Interpolation Differentiation and Integration Initial Value Problems Boundary Value Problems Partial Differential Equations Readership: Undergraduate students in Mathematics, Statistics, Physics, Engineering and Computer Science, biomedical, and any Course dealing with numerical calculations and computations.