ISBN: 978-1-83926-597-6
Year: 2022
Binding: HB
Price: GBP 236.00
Numerical analysis is concerned with all aspects of the numerical solution of a problem, from the theoretical development and understanding of numerical methods to their practical implementation as reliable and efficient computer programs. Most numerical analysts specialize in small subfields, but they share some common concerns, perspectives, and mathematical methods of analysis. Numerical analysis and mathematical modelling are essential in many areas of modern life. Sophisticated numerical analysis software is commonly embedded in popular software packages and allows fairly detailed models to be evaluated, even when the user is unaware of the underlying mathematics. Most mathematical models used in the natural sciences and engineering are based on ordinary differential equations, partial differential equations, and integral equations. Numerical methods for solving these equations are primarily of two types. Almost all numerical computation is carried out on digital computers. This book elucidates the concepts and innovative models around prospective developments with respect to numerical analysis. It talks in detail about the various concepts and theories related to nano-scale magnetization dynamics, numerical simulations of water waves, design semiconductors devices, biomedical applications, multiphase flows, numerical modelling-simulation and hypersonic rarefied flows. Through this book, we attempt to further enlighten the readers about the new concepts in this field. It includes topics, which are important for the holistic understanding of the subject matter. It studies, analyses and upholds the pillars of the subject and its utmost significance in modern times. Coherent flow of topics, student-friendly language and extensive use of examples make this book an invaluable source of knowledge.