Numerical analysis / edited by Carola Waller.

Includes bibliographical references and index.

Numerical study of one dimensional fishers KPP equation with finite difference schemes -- Numerical approximation to nonlinear one dimensional coupled reaction diffusion system -- Numerical simulation for Fredholm integral equation of the second kind -- Numerical solution of Kortweg-de Vries equation -- A study on numerical solution of black-scholes model -- Numerical analysis of thermal convection in a CPU chassis -- Numerical solution of differential equations by direct Taylor expansion -- Numerical solution of quasilinear singularly perturbed problems by the principle of equidistribution -- Numerical solution of fractional differential equations.

"The book "Numerical Analysis" is designed with the objective of providing a comprehensive and in-depth exploration into the algorithms, methods, and theoretical underpinnings of numerical solutions to mathematical problems. Its aim is to bridge the gap between theoretical mathematics and practical application, offering readers insights into how complex, continuous mathematical problems can be approached and solved using numerical methods. This book targets a broad audience, primarily consisting of undergraduate and graduate students in mathematics and computer science who are keen on mastering the fundamentals and advanced concepts of numerical analysis. It serves as an invaluable resource for academics, researchers, and professionals in fields where numerical methods are pivotal, including engineering, physical sciences, and applied mathematics.
The book endeavors to equip its readers with the skills and knowledge necessary to apply numerical analysis techniques effectively in both academic and real-world scenarios. By combining rigorous mathematical theory with practical examples and applications, it aims to foster a deep understanding of numerical algorithms and their implementation in solving scientific and engineering problems. Moreover, the book is designed to stimulate further interest and research in numerical analysis, paving the way for innovation and discovery in computational methods and their applications across diverse disciplines"-- Back cover.