PARTIAL DIFFERENTIAL EQUATIONS (SIAM)

Chapter containing 16 user-friendly case studies of Elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.&Nbsp; The book enables readers to deepen their understanding of a topic ubiquitous in Mathematics and Science and to tackle practical problems. The advent of fast computers and the development of numerical methods have enabled the modern engineer to use a large variety of packages to find numerical approximations to solutions of PDEs. Problems are usually standard and a thorough knowledge of a well-chosen subset of analytical and numerical tools and methodologies is necessary when dealing with real-life problems. When one is dealing with PDEs in practice, It becomes clear that both numerical and analytical treatments of the problem are needed. ? br/> this comprehensive book is intended for graduate students in applied Mathematics, engineering, and Physics and may be of interest to advanced undergraduate students. Mathematicians, scientists, and engineers also will find the book useful. Keywords: partial differential equations, modelling, difference methods, perturbation methods, computational methods.