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Mathematical Modeling And Simulation

Author : Kai Velten
ISBN : 9783527627615
Genre : Science
File Size : 59.29 MB
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This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
Category: Science

Mathematical Modeling And Computer Simulation

Author : Daniel P. Maki
ISBN : UOM:39015062842094
Genre : Mathematics
File Size : 22.6 MB
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Learn to build and use mathematical models with MATHEMATICAL MODELING AND COMPUTER SIMULATION! Through the description of mathematical and computer models in a variety of situations, this mathematics text helps you learn that model building is a dynamic process involving simplification, approximation, abstraction, analysis, computation, and comparison. Case studies illustrate how the model building process is applied to real life situations arising in a variety of settings, including business, genetics, population biology, and social science. An appendix on student projects provides you with a selection of classroom-tested projects with hints and suggestions for organizing project work and communicating results.
Category: Mathematics

Mathematical Modeling And Simulation In Enteric Neurobiology

Author : Roustem Miftahof
ISBN : 9789812834805
Genre : Mathematics
File Size : 21.85 MB
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The lack of scientists equally trained and prepared to understand both mathematics and biology/medicine hampers the development and application of computer simulation methods in biology and neurogastrobiology. Currently, there are no texts for navigating the extensive and intricate field of mathematical and computational modeling in neurogastrobiology. This book bridges the gap between mathematicians, computer scientists and biologists, and thus assists in the study and analysis of complex biological phenomena that cannot be done through traditional in vivo and in vitro experimental approaches.The book recognizes the complexity of biological phenomena under investigation and treats the subject matter with a degree of mathematical rigor. Special attention is given to computer simulations for interpolation and extrapolation of electromechanical and chemoelectrical phenomena, nonlinear self-sustained electromechanical wave activity, pharmacological effects including co-localization and co-transmission by multiple neurotransmitters, receptor polymodality, and drug interactions.Mathematical Modeling and Simulation in Enteric Neurobiology is an interdisciplinary book and is an essential source of information for biologists and doctors who are interested in knowing about the role and advantages of numerical experimentation in their subjects, as well as for mathematicians who are interested in exploring new areas of applications.
Category: Mathematics

Introduction To Mathematical Modeling And Computer Simulations

Author : Vladimir Mityushev
ISBN : 9781351998758
Genre : Mathematics
File Size : 45.92 MB
Format : PDF
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Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.
Category: Mathematics

Mathematical Modeling And Simulation In Hydrodynamic Stability

Author : D N Riahi
ISBN : 9789814500258
Genre : Science
File Size : 27.14 MB
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Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and open questions in the mathematical modeling and computational aspects of hydrodynamic stability. Review chapters on the mathematical modeling and numerical simulation aspects of hydrodynamic stability, the physical background, and the limitations of the modeling and simulation procedures, due to particular mathematical or computational methods used, are included. This book will be appropriate for use in research and in research-related courses on the subject. It includes chapters on bifurcations in fluid systems, flow patterns, channel flows, non-parallel shear flows, thin-film flows, strong viscous shear flows, Gortler vortices, bifurcations in convection, wavy film flows and boundary layers. Contents:The Linear Stability of Görtler Vortices Revisited (A Bottaro & P Luchini)The Sequence-of-Bifurcations Approach Towards an Understanding of Complex Flows (F H Busse & R M Clever)Derivation and Simulations of Evolution Equations of Wary Film Flows (A L Frenkel & K Indireshkumar)Instabilities Due to Soret Diffusion Coupled to the Morphology of a Solid-Liquid Interface (L Hadji)The Instability of Finite Amplitude Waves in Strong Viscid and Inviscid Shear (W R C Phillips)Nonlinear Stability Analysis and Modeling for Convective Flows (D N Riahi)Modeling and Simulation for Primary Instabilities in Shear Flows (D N Riahi)Görtler Vortices with System Rotation (A Zebib et al.) Readership: Scientists, engineers and students in mechanics, physics and mathematics. keywords:Stability;Hydrodynamic Stability;Flow Stability;Flow Instability;Stability Modeling;Stability Simulation;Nonlinear Hydrodynamics;Modeling in Stability;Simulation in Stability
Category: Science

Understanding Lte With Matlab

Author : Houman Zarrinkoub
ISBN : 9781118443453
Genre : Technology & Engineering
File Size : 56.31 MB
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An introduction to technical details related to the Physical Layer of the LTE standard with MATLAB® The LTE (Long Term Evolution) and LTE-Advanced are among the latest mobile communications standards, designed to realize the dream of a truly global, fast, all-IP-based, secure broadband mobile access technology. This book examines the Physical Layer (PHY) of the LTE standards by incorporating three conceptual elements: an overview of the theory behind key enabling technologies; a concise discussion regarding standard specifications; and the MATLAB® algorithms needed to simulate the standard. The use of MATLAB®, a widely used technical computing language, is one of the distinguishing features of this book. Through a series of MATLAB® programs, the author explores each of the enabling technologies, pedagogically synthesizes an LTE PHY system model, and evaluates system performance at each stage. Following this step-by-step process, readers will achieve deeper understanding of LTE concepts and specifications through simulations. Key Features: • Accessible, intuitive, and progressive; one of the few books to focus primarily on the modeling, simulation, and implementation of the LTE PHY standard • Includes case studies and testbenches in MATLAB®, which build knowledge gradually and incrementally until a functional specification for the LTE PHY is attained • Accompanying Web site includes all MATLAB® programs, together with PowerPoint slides and other illustrative examples Dr Houman Zarrinkoub has served as a development manager and now as a senior product manager with MathWorks, based in Massachusetts, USA. Within his 12 years at MathWorks, he has been responsible for multiple signal processing and communications software tools. Prior to MathWorks, he was a research scientist in the Wireless Group at Nortel Networks, where he contributed to multiple standardization projects for 3G mobile technologies. He has been awarded multiple patents on topics related to computer simulations. He holds a BSc degree in Electrical Engineering from McGill University and MSc and PhD degrees in Telecommunications from the Institut Nationale de la Recherche Scientifique, in Canada.
Category: Technology & Engineering

Mathematical Modeling And Digital Simulation For Engineers And Scientists

Author : Jon M. Smith
ISBN : STANFORD:36105030443845
Genre : Computers
File Size : 89.10 MB
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An updated and expanded edition that now reflects the many recent developments in simulation and computer modeling theory and practice. Gives fast and accurate numerical methods that are ideally suited to simulating both linear and nonlinear systems for design and for ``real time'' training. Includes a new section on the use of modern numerical methods for generating chaos and simulating random processes, provides information on simulator verification, and integrates material on the personal computer throughout the text. Also gives examples of computer programs in BASIC, and new material on the development and application of numerical methods in both the time and frequency domains. Expanded references.
Category: Computers

Mathematical Modelling And Computer Simulation Of Activated Sludge Systems

Author : Jacek Makinia
ISBN : 9781843392385
Genre : Science
File Size : 63.8 MB
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This international, comprehensive guide to modeling and simulation studies in activated sludge systems leads the reader through the entire modeling process - from building a mechanistic model to applying the model in practice. Mathematical Modelling and Computer Simulation of Activated Sludge Systems will: * enhance the readers' understanding of different model concepts for several (most essential) biochemical processes in the advanced activated sludge systems, * provide extensive and up-to-date coverage of experimental methodologies of a complete model parameter estimation (longitudinal dispersion coefficient, influent wastewater fractions, kinetic and stoichiometric coefficients, settling velocity, etc.), * summarize and critically review the ranges of model parameters reported in literature, * compare the existing protocols aiming at a systematic organization of the simulation study, * outline the capabilities of the existing commercial simulators, * present documented, successful case studies of practical model applications as a guide while planning a simulation study. The book is organized to provide a general background and some basic definitions, then theoretical aspects of modeling and finally, the issues important for practical model applications. Mathematical Modelling and Computer Simulation of Activated Sludge Systems can be used as supplementary material for a graduate level wastewater engineering courses and is useful to a wide audience of researchers and practitioners. Experienced model users such as consultants, trained plant management staff may find the book useful as a reference and as a resource for self-guided study.
Category: Science

Mathematical Modelling And Computer Simulation Of Biomechanical Systems

Author : A. V. Zinkovsky
ISBN : 9810223951
Genre : Mathematics
File Size : 38.34 MB
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The book presents a new scientific approach to the problem of biomechanical systems description.This approach is based on development of a universal anthropomorphic model and employment of methodology of imitational dynamic modeling (IDM). The novelty of this approach is that there appears a possibility to operate with a whole class of models, derived from the universal model on the basis of motion separation principle. This is followed by utilization of iterational procedures realizing the method of successive approximations and resulting in description of the real motion with the pre-set accuracy level. By use of the IDM there has been for the first time ascertained certain laws governing human locomotions: presence of so-called controlling and stabilizing interlink moments, wavelike speeding of forces extremums along the kinematic chain, adaptation of control functions for astronauts motion coordination preservation. The book includes new theoretical conceptions explaining the deterioration of functional state of skeletal-muscular apparatus of astronauts due to zero-gravity influence.
Category: Mathematics