Mathematics : Differential Equations

Explains the modern theory of the method of averaging and provides a understanding of the results obtained when applying this theory. This book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It also includes chapters devoted to systems with a rapidly rotating phase. more...

Price: $169.95

Presents an elementary introduction to multigrid methods for solving partial differential equations, and a survey of advanced multigrid techniques and real-life applications. This book is suitable for researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and many others. more...

Price: $96.95

This work contains proceedings of ''Varenna 2000'', the international conference on theory and numerical methods of the Navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics. more...

Price: $149.95

This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n -th order ordinary differential equations. In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every n -th order differential equation is equivalent. to a first order system, the main techniques are developed for systems. Asymptotic fundamental. systems are derived for a large class of systems of differential equations. Together with boundary. conditions, which may depend polynomially on the eigenvalue parameter, this leads to the definition of Birkhoff and Stone regular eigenvalue problems. An effort is made to make the conditions relatively easy verifiable; this is illustrated with several applications in chapter 10. The contour integral method and estimates of the resolvent are used to prove expansion theorems. For Stone regular problems, not all functions are expandable, and again relatively easy verifiable. conditions are given, in terms of auxiliary boundary conditions, for functions to be expandable. Chapter 10 deals exclusively with applications; in nine sections, various concrete problems such as. the Orr-Sommerfeld equation, control of multiple beams, and an example from meteorology are investigated. Key features:. • Expansion Theorems for Ordinary Differential Equations. • Discusses Applications to Problems from Physics and Engineering. • Thorough Investigation of Asymptotic Fundamental Matrices and Systems. • Provides a Comprehensive Treatment. • Uses the Contour Integral Method. • Represents the Problems as Bounded Operators. • Investigates Canonical Sys more...

Price: $119.00

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery. The material presented has direct applications to the analysis of eddy currents in magnetically nonlinear and hysteretic conductors and to the study of magnetization processes in electrically nonlinear superconductors. This book will provide very valuable technical and scientific information to a broad audience of engineers and researchers who are involved in these diverse areas. more...

Price: $205.00