Mathematical Modeling And Numerical Methods In Chemical Physics And Mechanics

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Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics

Ali V. Aliev,Olga V. Mishchenkova,Alexey M. Lipanov
Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics Book PDF

Author : Ali V. Aliev,Olga V. Mishchenkova,Alexey M. Lipanov
Publisher : CRC Press
Page : 410 pages
File Size : 54,5 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9781771882903

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Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics by Ali V. Aliev,Olga V. Mishchenkova,Alexey M. Lipanov Pdf

The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by proven reliable computational approach using computer and software applications during the solution of a particular problem. This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (Maple, MathLab, Mathematica) or compilers (С, С++, Visual Basic) for code is equally acceptable in the solution of the problems given in the book. Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving of nonmathematical problems as mathematical problems.

Mathematical Fluid Mechanics

Jiri Neustupa,Patrick Penel
Mathematical Fluid Mechanics Book PDF

Author : Jiri Neustupa,Patrick Penel
Publisher : Birkhäuser
Page : 271 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882439

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Mathematical Fluid Mechanics by Jiri Neustupa,Patrick Penel Pdf

Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.

An Introduction to Mathematical Modeling

J. Tinsley Oden
An Introduction to Mathematical Modeling Book PDF

Author : J. Tinsley Oden
Publisher : John Wiley & Sons
Page : 348 pages
File Size : 45,9 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9781118105740

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An Introduction to Mathematical Modeling by J. Tinsley Oden Pdf

A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

Applied Numerical Methods for Chemical Engineers

Navid Mostoufi,Alkis Constantinides
Applied Numerical Methods for Chemical Engineers Book PDF

Author : Navid Mostoufi,Alkis Constantinides
Publisher : Academic Press
Page : 503 pages
File Size : 40,6 Mb
Release : 2022-05-22
Category : Technology & Engineering
ISBN : 9780128229347

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Applied Numerical Methods for Chemical Engineers by Navid Mostoufi,Alkis Constantinides Pdf

Applied Numerical Methods for Chemical Engineers emphasizes the derivation of a variety of numerical methods and their application to the solution of engineering problems, with special attention to problems in the chemical engineering field. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, differentiation and integration, ordinary differential equations, boundary value problems, partial differential equations, and linear and nonlinear regression analysis. MATLAB is adopted as the calculation environment throughout the book because of its ability to perform all the calculations in matrix form, its large library of built-in functions, its strong structural language, and its rich graphical visualization tools. Through this book, students and other users will learn about the basic features, advantages and disadvantages of various numerical methods, learn and practice many useful m-files developed for different numerical methods in addition to the MATLAB built-in solvers, develop and set up mathematical models for problems commonly encountered in chemical engineering, and solve chemical engineering related problems through examples and after-chapter problems with MATLAB by creating application m-files. Clearly and concisely develops a variety of numerical methods and applies them to the solution of chemical engineering problems. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, linear and nonlinear regression analysis, differentiation and integration, ordinary differential equations, boundary value problems, and partial differential equations Includes systematic development of the calculus of finite differences and its application to the integration of differential equations, and a detailed discussion of nonlinear regression analysis, with powerful programs for implementing multivariable nonlinear regression and statistical analysis of the results Makes extensive use of MATLAB and Excel, with most of the methods discussed implemented into general MATLAB functions. All the MATLAB-language scripts developed are listed in the text and included in the book’s companion website Includes numerous real-world examples and homework problems drawn from the field of chemical and biochemical engineering

Numerical Modeling of Coupled Phenomena in Science and Engineering

Mario César Suárez Arriaga,Jochen Bundschuh,Francisco Javier Dominguez-Mota
Numerical Modeling of Coupled Phenomena in Science and Engineering Book PDF

Author : Mario César Suárez Arriaga,Jochen Bundschuh,Francisco Javier Dominguez-Mota
Publisher : CRC Press
Page : 496 pages
File Size : 55,7 Mb
Release : 2008-12-01
Category : Technology & Engineering
ISBN : 9780203886229

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Numerical Modeling of Coupled Phenomena in Science and Engineering by Mario César Suárez Arriaga,Jochen Bundschuh,Francisco Javier Dominguez-Mota Pdf

Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont

Mathematical Modeling and Simulation

Kai Velten
Mathematical Modeling and Simulation Book PDF

Author : Kai Velten
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 40,7 Mb
Release : 2009-06-01
Category : Science
ISBN : 9783527627615

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Mathematical Modeling and Simulation by Kai Velten Pdf

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).

Applied Mathematics And Modeling For Chemical Engineers

Richard G. Rice,Duong D. Do
Applied Mathematics And Modeling For Chemical Engineers Book PDF

Author : Richard G. Rice,Duong D. Do
Publisher : John Wiley & Sons
Page : 60 pages
File Size : 50,8 Mb
Release : 2012-10-16
Category : Technology & Engineering
ISBN : 9781118024720

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Applied Mathematics And Modeling For Chemical Engineers by Richard G. Rice,Duong D. Do Pdf

This Second Edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering. Like the first edition, there are many examples provided as homework and worked examples.

Computational Multiscale Modeling of Fluids and Solids

Martin Oliver Steinhauser
Computational Multiscale Modeling of Fluids and Solids Book PDF

Author : Martin Oliver Steinhauser
Publisher : Springer
Page : 405 pages
File Size : 43,9 Mb
Release : 2016-11-29
Category : Science
ISBN : 9783662532249

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Computational Multiscale Modeling of Fluids and Solids by Martin Oliver Steinhauser Pdf

The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the basic physical principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale, and the chapters follow this classification. The book explains in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. The second edition has been expanded by new sections in computational models on meso/macroscopic scales for ocean and atmosphere dynamics. Numerous applications in environmental physics and geophysics had been added.

Mathematical Models and Methods for Ab Initio Quantum Chemistry

M. Defranceschi,C. Le Bris
Mathematical Models and Methods for Ab Initio Quantum Chemistry Book PDF

Author : M. Defranceschi,C. Le Bris
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642572371

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Mathematical Models and Methods for Ab Initio Quantum Chemistry by M. Defranceschi,C. Le Bris Pdf

On the occasion of the fourth International Conference on Industrial and Applied Mathematics!, we decided to organize a sequence of 4 minisymposia devoted to the mathematical aspects and the numerical aspects of Quantum Chemistry. Our goal was to bring together scientists from different communities, namely mathematicians, experts at numerical analysis and computer science, chemists, just to see whether this heterogeneous set of lecturers can produce a rather homogeneous presentation of the domain to an uninitiated audience. To the best of our knowledgde, nothing of this kind had never been tempted so far. It seemed to us that it was the good time for doing it, both . because the interest of applied mathematicians into the world of computational chemistry has exponentially increased in the past few years, and because the community of chemists feels more and more concerned with the numerical issues. Indeed, in the early years of Quantum Chemistry, the pioneers (Coulson, Mac Weeny, just to quote two of them) used to solve fundamental equations modelling toy systems which could be simply numerically handled in view of their very limited size. The true difficulty arose with the need to model larger systems while possibly taking into account their interaction with their environment. Hand calculations were no longer possible, and computing science came into the picture.

Computational Methods in Chemical Engineering with Maple

Ralph E. White,Venkat R. Subramanian
Computational Methods in Chemical Engineering with Maple Book PDF

Author : Ralph E. White,Venkat R. Subramanian
Publisher : Springer Science & Business Media
Page : 860 pages
File Size : 43,5 Mb
Release : 2010-02-06
Category : Science
ISBN : 3642043119

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Computational Methods in Chemical Engineering with Maple by Ralph E. White,Venkat R. Subramanian Pdf

This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple’s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, ‘do loop,’ and ‘while loop. ’ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple’s ‘dsolve’ command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.

Stochastic Numerical Methods

Raúl Toral,Pere Colet
Stochastic Numerical Methods Book PDF

Author : Raúl Toral,Pere Colet
Publisher : John Wiley & Sons
Page : 416 pages
File Size : 42,6 Mb
Release : 2014-06-26
Category : Science
ISBN : 9783527683123

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Stochastic Numerical Methods by Raúl Toral,Pere Colet Pdf

Stochastic Numerical Methods introduces at Master level the numerical methods that use probability or stochastic concepts to analyze random processes. The book aims at being rather general and is addressed at students of natural sciences (Physics, Chemistry, Mathematics, Biology, etc.) and Engineering, but also social sciences (Economy, Sociology, etc.) where some of the techniques have been used recently to numerically simulate different agent-based models. Examples included in the book range from phase-transitions and critical phenomena, including details of data analysis (extraction of critical exponents, finite-size effects, etc.), to population dynamics, interfacial growth, chemical reactions, etc. Program listings are integrated in the discussion of numerical algorithms to facilitate their understanding. From the contents: Review of Probability Concepts Monte Carlo Integration Generation of Uniform and Non-uniform Random Numbers: Non-correlated Values Dynamical Methods Applications to Statistical Mechanics Introduction to Stochastic Processes Numerical Simulation of Ordinary and Partial Stochastic Differential Equations Introduction to Master Equations Numerical Simulations of Master Equations Hybrid Monte Carlo Generation of n-Dimensional Correlated Gaussian Variables Collective Algorithms for Spin Systems Histogram Extrapolation Multicanonical Simulations

Applied Mathematical Models and Experimental Approaches in Chemical Science

Vladimir Ivanovitch Kodolov,Mikhail A. Korepanov
Applied Mathematical Models and Experimental Approaches in Chemical Science Book PDF

Author : Vladimir Ivanovitch Kodolov,Mikhail A. Korepanov
Publisher : CRC Press
Page : 428 pages
File Size : 41,6 Mb
Release : 2016-11-03
Category : Mathematics
ISBN : 9781771883832

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Applied Mathematical Models and Experimental Approaches in Chemical Science by Vladimir Ivanovitch Kodolov,Mikhail A. Korepanov Pdf

This new book focuses on nanomaterial development as well as investigations of combustion and explosion processes. It presents valuable information on the modeling of processes and on quantum chemical calculations and leading-edge research from around the world in this dynamic field, focusing on concepts above formal experimental techniques and theoretical methods of chemical physics for micro- and nanotechnologies. Also presented are non-linear kinetic appearances and their possible applications.

Mathematical Modelling of Physical Systems

Michel Cessenat
Mathematical Modelling of Physical Systems Book PDF

Author : Michel Cessenat
Publisher : Springer
Page : 505 pages
File Size : 50,6 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9783319947587

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Mathematical Modelling of Physical Systems by Michel Cessenat Pdf

Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Central focus is placed on specifying the agreement between the functional framework and its physical necessity and on making clear the intrinsic character of physical elements, independent from specific charts or frames. The book is divided into four sections, covering thermostructure, classical mechanics, fluid mechanics modelling, and behavior laws. An extensive appendix provides notations and definitions as well as brief explanation of integral manifolds, symplectic structure, and contact structure. Plenty of examples are provided throughout the book, and reviews of basic principles in differential geometry and convex analysis are presented as needed. This book is a useful resource for graduate students and researchers in the field.

Mathematical Modeling of Physical Systems

Diran Basmadjian
Mathematical Modeling of Physical Systems Book PDF

Author : Diran Basmadjian
Publisher : Oxford University Press on Demand
Page : 350 pages
File Size : 42,8 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 0195153146

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Mathematical Modeling of Physical Systems by Diran Basmadjian Pdf

Both analytical and numerical methods are explained in enough detail to function as learning tools for the beginner or as refreshers for the more informed reader. Ideal for third-year engineering, mathematics, physics, and chemistry students."--BOOK JACKET.

Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Ivo Babuska,Philippe G. Ciarlet,Tetsuhiko Miyoshi
Mathematical Modeling and Numerical Simulation in Continuum Mechanics Book PDF

Author : Ivo Babuska,Philippe G. Ciarlet,Tetsuhiko Miyoshi
Publisher : Springer
Page : 306 pages
File Size : 55,9 Mb
Release : 2024-06-16
Category : Computers
ISBN : 3642562892

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Mathematical Modeling and Numerical Simulation in Continuum Mechanics by Ivo Babuska,Philippe G. Ciarlet,Tetsuhiko Miyoshi Pdf

The first international symposium on mathematical foundations of the finite element method was held at the University of Maryland in 1973. During the last three decades there has been great progress in the theory and practice of solving partial differential equations, and research has extended in various directions. Full-scale nonlinear problems have come within the range of nu merical simulation. The importance of mathematical modeling and analysis in science and engineering is steadily increasing. In addition, new possibili ties of analysing the reliability of computations have appeared. Many other developments have occurred: these are only the most noteworthy. This book is the record of the proceedings of the International Sympo sium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, held in Yamaguchi, Japan from 29 September to 3 October 2000. The topics covered by the symposium ranged from solids to fluids, and in cluded both mathematical and computational analysis of phenomena and algorithms. Twenty-one invited talks were delivered at the symposium. This volume includes almost all of them, and expresses aspects of the progress mentioned above. All the papers were individually refereed. We hope that this volume will be a stepping-stone for further developments in this field.