Bøger i Mathematical and Analytical Techniques with Applications to Engineering serien

This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation.

Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space.

This book presents a comprehensive introduction to design sensitivity analysis theory as applied to electromagnetic systems.

This book presents a comprehensive introduction to design sensitivity analysis theory as applied to electromagnetic systems.

This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. The chaotic motion of bodies with variable mass is discussed too.

This book deals with solving mathematically the unsteady flame propagation equations. Premixed flames and filtration combustion have remarkable properties: the complex nonlinear integro-differential equations for these problems have exact analytical solutions described by the motion of poles in a complex plane.

Covering classical elasticity theory in an encyclopaedic fashion, this work has been written by one of the world's leading authorities in the field and reflects the particularly complex character of deformable solids, where computer modeling is rarely simple.

As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i.

This book examines the study of mechanical systems as well as its links to other sciences of nature. It presents the fundamentals behind how mechanical theories are constructed and details the solving methodology and mathematical tools used: vectors, tensors and notions of field theory.

The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established.

This book examines the study of mechanical systems as well as its links to other sciences of nature. It presents the fundamentals behind how mechanical theories are constructed and details the solving methodology and mathematical tools used: vectors, tensors and notions of field theory.

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems.

As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i.

This last title in a three-volume work studies analytical mechanics. Coverage includes such topics as Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables.

This is the first book to offer a comprehensive exploration of new methods in inverse problems in electromagnetics. The text provides a wealth of systematic descriptions of the most important practical inverse problems, and details new methods to solve them.

In particular, the reader will be provided with the backward SDE technique for use in research when considering financial problems in the market, and with the reflecting SDE technique to enable study of optimal stochastic population control problems.