الصفحة 11
الصفحة 11
Domain Decomposition Methods in Science and Engineering
Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry.This book special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included.
Discrete Element Analysis Methods of Generic Differential Quadratures
This book presents numerical differential quadrature (DQ) - based methods recently developed by the author. Their ability for solving generic scientific and engineering problems is demonstrated. These methods are the generic differential quadrature, the extended differential quadrature and the related discrete element analysis methods. These novel numerical techniques are both efficient and reliable. They are suitable for developing solution algorithms for various computational mechanics problems with arbitrarily complex geometry. This is shown for several comprehensive examples such as bars and beams, trusses, frames, general field problems, elasticity problems or bending of plates.
Discontinuous Galerkin Methods for Viscous Incompressible Flow
Guido Kanschat reviews several discontinuous Galerkin schemes for elliptic and viscous flow problems. Setting out from Nitsche's method for weak boundary conditions, he studies the interior penalty and LDG methods. Combined with a stable advection discretization, they yield stable DG methods for linear flow problems of Stokes and Oseen type which are applied to the Navier-Stokes problem. The author not only presents the analytical techniques used to study these methods but also devotes a major discussion to the efficient numerical solution of discrete problems.
Direct and Large-Eddy Simulation VI ; Proceedings of the Sixth International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, held at the University of Poitiers, September 12-14, 2005
this workshop addressed numerous theoretical and physical aspects of transitional and turbulent flows. At an applied level it contributed to the solution of problems related to energy production, transportation and the environment. Since the prediction and analysis of fluid turbulence and transition continues to challenge engineers, mathematicians and physicists, DLES-6 covered a large range of topics, from the more technical ones like numerical methods, initial and inflow conditions, the coupling of RANS and LES zones, subgrid and wall modelling to topics with a stronger focus on flow physics such as aero-acoustics, compressible and geophysical flows, flow control, multiphase flow and turbulent combustion, to quote only a few.
Direct and inverse Sturm-Liouville problems : A method of solution
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems.
Dimension Reduction of Large-Scale Systems ; Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003
In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas.
Digital synthesizers and transmitters for software radio
By programming the digital synthesizers and transmitters, adaptive channel bandwidths, modulation formats, frequency hopping and data rates are easily achieved. Techniques such as digital predistortion for power amplifier linearization, digital compensation methods for analog I/Q modulator nonlinearities and digital power control and ramping are presented in this book
Digital Simulation in Electrochemistry
The book shows how to numerically solve the parabolic partial differential equations (pdes) encountered in electroanalytical chemistry. It does this in a didactic manner, by first introducing the basic equations to be solved and some model systems as text cases, for which solutions exist. Then it treats basic numerical approximation for derivatives and techniques for the numerical solution of ordinary differential equations, from which the more complicated methods for pdes can be derived. The major implicit methods are described in detail, and the handling of homogeneous chemical reactions, including coupled and nonlinear cases, is detailed. More advanced techniques are presented briefly, as well as some commercially available program packages.
Digital Holography : Digital Hologram Recording, Numerical Reconstruction, and Related Techniques
This book presents a self-contained treatment of the principles and major applications of digital hologram recording and numerical reconstruction (Digital Holography). The first part deals with optical foundations and the theory of holography. The next section describes how to record holograms directly with an electronic sensor (CCD) and describes the various reconstruction techniques. A special chapter is designated to digital holographic interferometry with applications in deformation and shape measurement and refractive index determination. Applications in imaging and microscopy are also described. The next part discusses special techniques such as digital light-in-flight holography, holographic endoscopy, information encrypting and comparative holography. In the last chapter related techniques of speckle metrology are treated briefly.
Digital Communications Using Chaos and Nonlinear Dynamics
This book introduces readers to a new and exciting cross-disciplinary field of digital communications with chaos. This field was born around 15 years ago, when it was first demonstrated that nonlinear systems which produce complex non-periodic noise-like chaotic signals, can be synchronized and modulated to carry useful information. Thus, chaotic signals can be used instead of pseudo-random digital sequences for spread-spectrum and private communication applications. This deceptively simple idea spun hundreds of research papers, and many novel communication schemes based on chaotic signals have been proposed. However, only very recently researchers have begun to make a transition from academic studies toward practical implementation issues, and many "promising" schemes had to be discarded or re-formulated. This book describes the state of the art (both theoretical and experimental) of this novel field.
Differential Evolution : A Practical Approach to Global Optimization
Problems demanding globally optimal solutions are ubiquitous, yet many are intractable when they involve constrained functions having many local optima and interacting, mixed-type variables. The differential evolution (DE) algorithm is a practical approach to global numerical optimization which is easy to understand, simple to implement, reliable, and fast. Packed with illustrations, computer code, new insights, and practical advice, this volume explores DE in both principle and practice. It is a valuable resource for professionals needing a proven optimizer and for students wanting an evolutionary perspective on global numerical optimization.
Deterministic Numerical Modeling of Soil Structure Interaction
In order to describe soil–structure interaction in various situations (nonlinear, static, dynamic, hydro-mechanical couplings), this book gives an overview of the main modeling methods developed in geotechnical engineering. The chapters are centered around: the finite element method (FEM), the finite difference method (FDM), and the discrete element method (DEM). Deterministic Numerical Modeling of Soil–Structure Interaction allows the reader to explore the classical and well-known FEM and FDM, using interface and contact elements available for coupled hydro-mechanical problems.
Designing green landscapes
This book presents the latest thinking in adaptive management for forest ecosystems. Based on the ‘multiple path’ principle, this approach links species choice and silvicultural methods with changing demands and changing environmental conditions, to ensure continuous adaptation, often several times within the lifetime of a tree. The ‘multiple path’ principle at the core of this approach represents a robust theoretical framework for designing forested landscapes. It provides a logical basis both for coordinating spatial objectives and for integrating varied forms of expertise; it limits planning horizons to realistic timeframes; and it allows for forecasts based on current real attributes of spatially explicit land parcels. This is in stark contrast with traditional forestry practices which simply assess the forest resource at regular time intervals and prescribe standard management schedules for specific forest types.
Design of adaptive finite Element software : The finite element toolbox ALBERTA
During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Highly efficient numerical methods are based on adaptive methods, higher order discretizations, fast linear and non-linear iterative solvers, multi-level algorithms, etc. Such methods are integrated in the adaptive finite element software ALBERTA. It is a toolbox for the fast and flexible implementation of efficient software for real life applications, based on modern algorithms. ALBERTA also serves as an environment for improving existent, or developing new numerical methods in an interplay with mathematical analysis and it allows the direct integration of such new or improved methods in existing simulation software.
Design Automation Methods and Tools for Microfluidics-Based Biochips
Design Automation Methods and Tools for Microfluidics-Based Biochips deals with all aspects of design automation for microfluidics-based biochips. Experts have contributed chapters on many aspects of biochip design automation. Topics covered include: device modeling; numerical methods and simulation tools; physical design and module placement.
Current Trends in High Performance Computing and Its Applications ; Proceedings of the International Conference on High Performance Computing and Applications, August 8-10, 2004, Shanghai, P.R. China
This book contains variety of subjects in modern high performance computing and its applications, such as numerical and software algorithm design and analysis, grid computing advance, adaptive and par- lel algorithm development, distributing debugging tools, computational grid and network environment design, computer simulation and visualization, and computational language study and their applications to science, engineering, and medicine.
Cryptography and cryptanalysis in Java : Creating and programming advanced algorithms with Java SE 17 LTS and Jakarta EE 10
Includes challenging cryptographic solutions that are implemented in Java 17 and Jakarta EE 10. It provides a robust introduction to Java 17's new features and updates, a roadmap for Jakarta EE 10 security mechanisms, a unique presentation of the "hot points" (advantages and disadvantages) from the Java Cryptography Architecture (JCA), and more. You Will Learn : Develop programming skills for writing cryptography algorithms in Java / Dive into security schemes and modules using Java / Explore “good” vs “bad” cryptography based on processing execution times and reliability / Play with pseudo-random generators, hash functions, etc. / Leverage lattice-based cryptography methods, the NTRU framework library, and more
Cooperative stochastic differential games
Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises.
Cooperative Sourcing : Simulation Studies and Empirical Data on Outsourcing Coalitions in the Banking Industry
Based on the integration of relevant economic and organizational theories, Daniel Beimborn develops a formal model of cooperative sourcing. The model captures the different drivers and inhibitors like economies of scale, scope and skill, transaction costs, strategic constraints etc. and forms the basis for both game-theoretical analyses and agent-based simulations. Simulations help to handle the numerical complexity and allow for compound analyses of the causes and effects of cooperative sourcing. Empirical data from two large-scale surveys and case studies in the German credit business are used in order to feed the simulation model and to validate the results.
