The book describes and illustrates how to apply effective analytical methods to obtain exact solutions to nonlinear differential equations of mathematical physics and other partial differential equations....Loe edasi...
This Handbook is a unique reference for scientists and engineers, containing over 3,800 nonlinear partial differential equations withsolutions....Loe edasi...
This presents six solution methods for linear partial differential equations (P.D.E.s) with constant coefficients. It covers linear P.D.E.s with homogeneous power coefficients, finite difference equations and simultaneous systems of both, with appli...Loe edasi...
The book includes the theory and applications of generalization of the numerical method of lines. It is meant for applied mathematicians, physicists and engineers who use of numerical methods. The book should serve as a valuable auxiliary tool in an...Loe edasi...
This book remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students competence in solving PDEs, and offers concise, easily understood e...Loe edasi...
This book considers conservative finite-difference schemes on grids of arbitrary structure to be a discrete model of the continuum physical system. It deals with the construction of finite-difference algorithms for elliptic or steady-state, paraboli...Loe edasi...
This book brings together the concept of resolution, which limits what we can determine about our physical world, with linear inverse problems, with an emphasis on showcasing real examples and practical applications. The book focuses on methods for...Loe edasi...
This complete, self-contained book presents many realistic applications beyond the usual model problems. It concentrates on the method of separation of variables for PDEs, which remains an integral part of the training in applied mathematics. Beyond...Loe edasi...
This book deals with the determination of qualitative estimates for solutions of partial differential equations subject to boundary and/or initial conditions. It is suitable for senior undergraduates, first year postgraduates, and for others contemp...Loe edasi...
The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solutio...Loe edasi...
This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically mot...Loe edasi...
Sari: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
(Ilmumisaeg: 27-Sep-2013, Kirjastus: John Wiley & Sons Inc, ISBN-13: 9781118548448)
Written by authors at the forefront of their field, this Second Edition discusses problems with periodic solutions, and presents new information on initial boundary value problems and numerical methods for partial differential equations....Loe edasi...
Sari: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
(Ilmumisaeg: 14-Dec-2012, Kirjastus: John Wiley & Sons Inc, ISBN-13: 9781118111130)
This book provides a comprehensive and self-contained treatment of the numerical methods used to solve partial differential equations (PDEs), as well as both the error and efficiency of the presented methods....Loe edasi...
Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book introduces key factors and basic...Loe edasi...
(Ilmumisaeg: 20-Aug-2010, Kirjastus: John Wiley & Sons Inc, ISBN-13: 9780470651384)
Unable to find a suitable coursebook for an introductory PDE course, the author wrote one that combines the needed foundation and theory with tangible applications in physics and other disciplines. Since many practical applications are non-linear, n...Loe edasi...
(Ilmumisaeg: 08-Apr-2008, Kirjastus: John Wiley & Sons Inc, ISBN-13: 9780470058503)
Analysis of Electromagnetic Waves describes the general analysis principles for electromagnetic fields, principally with applications in microwave, millimetre wave and optical frequency regions, but also for static problems....Loe edasi...