Numerical methods : theory and engineering applications / Amiya K. Jana.

Includes bibliographical references and index.

Introduction to numerical method and process simulation -- Linear algebraic equation -- Non-linear algebraic equation -- Ordinary differential equation : initial value problem (ODE-IVP) -- Ordinary differential equation : boundary value problem (ODE-BVP) -- Partial differential equation -- Method of least-squares -- Polynomial interpolation -- Numerical integration.

"Numerical methods are a cornerstone of most engineering and science programmes. However, their applications vary greatly for different streams. This book focuses on process applications that are relevant specifically to chemical engineers, or to allied streams like biochemical, mechanical, cryogenic, and energy engineering. Each chapter starts with the formulation and graphical representation of the numerical method. This is followed by the sequential steps and algorithms required to create computer-assisted solutions and simulations. Algorithms, chosen, apply to real-world examples or case studies so as to show how exactly they are used. Finally, the strengths and weaknesses of the numerical method under discussion are explained, thus helping the reader choose the best method for a specific problem at hand. The text incorporates extensive mathematical problems, illustrative examples, industrially relevant case studies, etc., so that readers gain insights into the ground realities"-- Provided by publisher.