Bøker i Mathematical Engineering-serien

This book presents the various design methods of a state-feedback control law and of an observer. * Quadratic optimization methods: Linear Quadratic Control (LQC), optimal Kalman filtering, Linear Quadratic Gaussian (LQG) control;

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equations. It uses a unique teaching method which explains the analysis using exercises and detailed solutions.

This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

This monograph presents an introduction to the Ito calculus techniques used to handle stochastic differential equations. It covers a broad spectrum of techniques which are useful for working with stochastic equations.

This book outlines an analytical solution procedure of the pure nonlinear oscillator system, offering a solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter. Includes exercises.

The true steady state mean value of the heat transfer coefficient must be multiplied by a newly defined coupling factor, which is always smaller than one and depends on the coupling parameters Biot number, Fourier number as well as dimensionless geometry and oscillation parameters.

This book surveys topological methods in signal processing which address uncertainty in deterministic fashion. The author offers an efficient treatment of cellular sheaves, showing how their use is decisive in treating difficult problems in signal processing.

This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems.

Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework.

This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side.

The first part is devoted to the study of channel flows, in particularthe lateral flow of a viscous and viscous-plastic liquid in a ring channelformed by coaxial cylinders.

This monograph presents a systematic analysis of bubble system mathematics, using the mechanics of two-phase systems in non-equilibrium as the scope of analysis.

This book provides analytical solutions to a number of classical problems in transport processes, i.e. Furthermore, analytical solutions for transport processes provide a much deeper understanding of the physical phenomena involved in a given process than do corresponding numerical solutions.

This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations - the theory of hyper-random phenomena.

The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations.

This authored monograph provides a detailed discussion of the boundary layer flow due to a moving plate. The author derives a criterion for the self-similar and non-similar flow, and the turbulent flow due to a stretching or shrinking sheet is also discussed.

This monograph comprehensively describes phenomena of heat flow during phase change as well as the dynamics of liquid solidification, i.e. The target audience primarily comprises researchers and experts in the field of heat flow, but the book may also be beneficial for both practicing engineers and graduate students.