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....Lasīt vairāk
This Handbook is a unique reference for scientists and engineers, containing over 3,800 nonlinear partial differential equations withsolutions....Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
Sērija : Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
(Izdošanas datums: 27-Sep-2013, Izdevniecība: 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....Lasīt vairāk
Sērija : Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
(Izdošanas datums: 14-Dec-2012, Izdevniecība: 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....Lasīt vairāk
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...Lasīt vairāk
(Izdošanas datums: 20-Aug-2010, Izdevniecība: 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...Lasīt vairāk
(Izdošanas datums: 08-Apr-2008, Izdevniecība: 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....Lasīt vairāk
Sērija : Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
(Izdošanas datums: 16-Dec-2005, Izdevniecība: John Wiley & Sons Inc, ISBN-13: 9780471764106)
This book reflects the most recent developments in finite element methods and is accessible to students of mathematics, engineering, and physics due to its approach. An overview and consolidation of the basic knowledge of linear spaces and PDEs is p...Lasīt vairāk
(Izdošanas datums: 01-Jun-2003, Izdevniecība: VSP International Science Publishers, ISBN-13: 9783110944983)
The method of researchof all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation....Lasīt vairāk
Sets forth a procedure called OVMSP: Order-Verification via the Manufactured Solution Procedure that offers an opportunity to identify virtually all coding bugs that prevent correct solution of the governing partial differential equations. This bo...Lasīt vairāk
(Izdošanas datums: 21-Dec-2001, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812810816)
This volume consists of 20 review articles, written by leading researchers in the field, covering topics including: theory and applications, algorithm developments and modern computational techniques for industry....Lasīt vairāk
The general Method Of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. This title shows the dive...Lasīt vairāk
(Izdošanas datums: 29-Mar-2000, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789812813251)
An introduction to the methods and philosophy of constructing nonstandard finite difference schemes. It shows how to construct nonstandard schemes and how these are applied to obtain numerical solutions of the differential equations which arise in t...Lasīt vairāk
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic...Lasīt vairāk
Presents an introduction to the concepts of ordinary and partial boundary value problems. This book contains essential functional analytical concepts, explaining its subject without excessive abstraction. It includes such topics as differential equa...Lasīt vairāk
(Izdošanas datums: 22-May-1997, Izdevniecība: Taylor & Francis Ltd, ISBN-13: 9781003580607)
This text introduces a new class of methods, termed group explicit methods, Their applications to solve parabolic, hyperbolic and elliptic equations are outlined, and the advantages for their implementation on parallel computers clearly portrayed....Lasīt vairāk
The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics....Lasīt vairāk
