Advances In Mathematical Modeling And Analysis

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Advances in Mathematical Modeling and Analysis

Casper Geller
Advances in Mathematical Modeling and Analysis Book PDF

Author : Casper Geller
Publisher : NY Research Press
Page : 230 pages
File Size : 55,5 Mb
Release : 2021-11-16
Category : Mathematics
ISBN : 1632388758

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Advances in Mathematical Modeling and Analysis by Casper Geller Pdf

The process of developing a mathematical model is known as mathematical modeling. It is characterization of system that uses mathematical concepts and languages. Mathematical models are used in natural science such as physics, chemistry, earth science and biology. They are also used in social sciences such as political science, sociology, economics and psychology. Dynamical systems, statistical models, differential equations or game theoretic models are some forms of mathematical models. There are two primary mathematical modeling problems which are classified as black box models or white box models. A black-box model is a system of model in which there is no priori information available, whereas a white-box model is a system where all necessary information is available. This book contains some path-breaking studies in the field of mathematical modeling. The various advancements in mathematical modeling and analysis are glanced at and their applications as well as ramifications are looked at in detail. For all those who are interested in this discipline, this book can prove to be an essential guide.

Advanced Mathematical Modeling with Technology

William P. Fox,Robert E. Burks
Advanced Mathematical Modeling with Technology Book PDF

Author : William P. Fox,Robert E. Burks
Publisher : CRC Press
Page : 448 pages
File Size : 41,7 Mb
Release : 2021-05-20
Category : Mathematics
ISBN : 9781000388862

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Advanced Mathematical Modeling with Technology by William P. Fox,Robert E. Burks Pdf

Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. Though the topics covered in this book are the typical topics of most mathematical modeling courses, this book is best used for individuals or groups who have already taken an introductory mathematical modeling course. Advanced Mathematical Modeling with Technology will be of interest to instructors and students offering courses focused on discrete modeling or modeling for decision making. Each chapter begins with a problem to motivate the reader. The problem tells "what" the issue is or problem that needs to be solved. In each chapter, the authors apply the principles of mathematical modeling to that problem and present the steps in obtaining a model. The key focus is the mathematical model and the technology is presented as a method to solve that model or perform sensitivity analysis. We have selected , where applicable to the content because of their wide accessibility. The authors utilize technology to build, compute, or implement the model and then analyze the it. Features: MAPLE©, Excel©, and R© to support the mathematical modeling process. Excel templates, macros, and programs are available upon request from authors. Maple templates and example solution are also available. Includes coverage of mathematical programming. The power and limitations of simulations is covered. Introduces multi-attribute decision making (MADM) and game theory for solving problems. The book provides an overview to the decision maker of the wide range of applications of quantitative approaches to aid in the decision making process, and present a framework for decision making. Table of Contents 1. Perfect Partners: Mathematical Modeling and Technology 2. Review of Modeling with Discrete Dynamical Systems and Modeling Systems of DDS 3. Modeling with Differential Equations 4. Modeling System of Ordinary Differential Equation 5. Regression and Advanced Regression Methods and Models 6. Linear, Integer and Mixed Integer Programming 7. Nonlinear Optimization Methods 8. Multivariable Optimization 9. Simulation Models 10. Modeling Decision Making with Multi-Attribute Decision Modeling with Technology 11. Modeling with Game Theory 12. Appendix Using R Index Biographies Dr. William P. Fox is currently a visiting professor of Computational Operations Research at the College of William and Mary. He is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School and teaches a three-course sequence in mathematical modeling for decision making. He received his Ph.D. in Industrial Engineering from Clemson University. He has taught at the United States Military Academy for twelve years until retiring and at Francis Marion University where he was the chair of mathematics for eight years. He has many publications and scholarly activities including twenty plus books and one hundred and fifty journal articles. Colonel (R) Robert E. Burks, Jr., Ph.D. is an Associate Professor in the Defense Analysis Department of the Naval Postgraduate School (NPS) and the Director of the NPS’ Wargaming Center. He holds a Ph.D. in Operations Research form the Air Force Institute of Technology. He is a retired logistics Army Colonel with more than thirty years of military experience in leadership, advanced analytics, decision modeling, and logistics operations who served as an Army Operations Research analyst at the Naval Postgraduate School, TRADOC Analysis Center, United States Military Academy, and the United States Army Recruiting Command.

Progress in Applied Mathematical Modeling

Fengshan Yang
Progress in Applied Mathematical Modeling Book PDF

Author : Fengshan Yang
Publisher : Nova Publishers
Page : 386 pages
File Size : 46,7 Mb
Release : 2008
Category : Mathematics
ISBN : 1600219764

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Progress in Applied Mathematical Modeling by Fengshan Yang Pdf

This book presents new research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimisation; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.

Advances in Mathematical and Statistical Modeling

Barry C. Arnold,N. Balakrishnan,Jose-Maria Sarabia Alegria,Roberto Minguez
Advances in Mathematical and Statistical Modeling Book PDF

Author : Barry C. Arnold,N. Balakrishnan,Jose-Maria Sarabia Alegria,Roberto Minguez
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 51,8 Mb
Release : 2009-04-09
Category : Mathematics
ISBN : 9780817646264

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Advances in Mathematical and Statistical Modeling by Barry C. Arnold,N. Balakrishnan,Jose-Maria Sarabia Alegria,Roberto Minguez Pdf

Enrique Castillo is a leading figure in several mathematical and engineering fields. Organized to honor Castillo’s significant contributions, this volume is an outgrowth of the "International Conference on Mathematical and Statistical Modeling," and covers recent advances in the field. Applications to safety, reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques are presented.

Mathematical Modeling

Sandip Banerjee
Mathematical Modeling Book PDF

Author : Sandip Banerjee
Publisher : CRC Press
Page : 419 pages
File Size : 53,9 Mb
Release : 2021-11-11
Category : Mathematics
ISBN : 9781351022934

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Mathematical Modeling by Sandip Banerjee Pdf

Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.

Advances in Mathematical Modeling and Experimental Methods for Materials and Structures

Rivka Gilat,Leslie Banks-Sills
Advances in Mathematical Modeling and Experimental Methods for Materials and Structures Book PDF

Author : Rivka Gilat,Leslie Banks-Sills
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 54,8 Mb
Release : 2009-12-18
Category : Science
ISBN : 9789048134670

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Advances in Mathematical Modeling and Experimental Methods for Materials and Structures by Rivka Gilat,Leslie Banks-Sills Pdf

This collection of cutting-edge papers, written by leading authors in honor of Professor Jacob Aboudi, covers a wide spectrum of topics in the field, presents both theoretical and experimental approaches, and suggests directions for possible future research.

Advances in Mathematical Finance

Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott
Advances in Mathematical Finance Book PDF

Author : Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 52,9 Mb
Release : 2007-06-22
Category : Business & Economics
ISBN : 9780817645458

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Advances in Mathematical Finance by Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott Pdf

This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

Mathematical Modeling

Sandip Banerjee
Mathematical Modeling Book PDF

Author : Sandip Banerjee
Publisher : CRC Press
Page : 276 pages
File Size : 55,6 Mb
Release : 2014-02-07
Category : Mathematics
ISBN : 9781482229165

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Mathematical Modeling by Sandip Banerjee Pdf

Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differe

Advances in Mathematical Modeling and Scientific Computing

Firuz Kamalov
Advances in Mathematical Modeling and Scientific Computing Book PDF

Author : Firuz Kamalov
Publisher : Springer Nature
Page : 933 pages
File Size : 42,9 Mb
Release : 2023
Category : Computer science
ISBN : 9783031414206

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Advances in Mathematical Modeling and Scientific Computing by Firuz Kamalov Pdf

This volume collects the proceedings of the International Conference on Recent Developments in Mathematics (ICRDM), held at Canadian University Dubai, UAE, in August 2022. This is the second of two volumes, with this volume focusing on more applied topics, particularly mathematical modeling and scientific computing, and the first covering recent advances in algebra and analysis. Each chapter identifies existing research problems, the techniques needed to solve them, and a thorough analysis of the obtained results. Advances in Mathematical Modeling and Scientific Computing will appeal to a range of postgraduate students, researchers, and industry professionals interested in exploring recent advancements in applied mathematics.

Advances in Decision Analysis

Nadine Meskens,M.R. Roubens
Advances in Decision Analysis Book PDF

Author : Nadine Meskens,M.R. Roubens
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 43,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401706476

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Advances in Decision Analysis by Nadine Meskens,M.R. Roubens Pdf

The present book fmds its roots in the International Conference on Methods and Applications of Multiple Criteria Decision Making held in Mons in May 1997. A small number of contributions to that conference were selected via a refereeing procedure and retained authors were requested to include in their final version their more recent results. This explains why some papers differ significantly from the original presentation. The introductory paper of Raynaud addresses the long range forecasts in Multiple Criteria Decision Making on the basis of a Delphi process that was run before and during the congress. In a second part, the French author explains how he and some of his partners could find the proof of an important conjecture : the iteration of a strongly monotonic choice function is not a strongly monotonic ranking function. The second part of the book covers methodological aspects of decision theory. The contribution of Bouyssou and Pirlot concerns the reformulation of classical conjoint measurement models that induce a complete and transitive preference binary relation on the set of alternatives which seem to be unrealistic when decision makers are asked to compare objects evaluated on several attributes. The authors propose to consider non transitive, non complete and non additive decomposable conjoint models. They define properties that characterize such models.

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management

Simone Göttlich,Michael Herty,Anja Milde
Mathematical Modeling Simulation and Optimization for Power Engineering and Management Book PDF

Author : Simone Göttlich,Michael Herty,Anja Milde
Publisher : Springer Nature
Page : 333 pages
File Size : 55,7 Mb
Release : 2021-02-02
Category : Technology & Engineering
ISBN : 9783030627324

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Mathematical Modeling, Simulation and Optimization for Power Engineering and Management by Simone Göttlich,Michael Herty,Anja Milde Pdf

This edited monograph offers a summary of future mathematical methods supporting the recent energy sector transformation. It collects current contributions on innovative methods and algorithms. Advances in mathematical techniques and scientific computing methods are presented centering around economic aspects, technical realization and large-scale networks. Over twenty authors focus on the mathematical modeling of such future systems with careful analysis of desired properties and arising scales. Numerical investigations include efficient methods for the simulation of possibly large-scale interconnected energy systems and modern techniques for optimization purposes to guarantee stable and reliable future operations. The target audience comprises research scientists, researchers in the R&D field, and practitioners. Since the book highlights possible future research directions, graduate students in the field of mathematical modeling or electrical engineering may also benefit strongly.

Mathematical Modeling of Random and Deterministic Phenomena

Solym Mawaki Manou-Abi,Sophie Dabo-Niang,Jean-Jacques Salone
Mathematical Modeling of Random and Deterministic Phenomena Book PDF

Author : Solym Mawaki Manou-Abi,Sophie Dabo-Niang,Jean-Jacques Salone
Publisher : John Wiley & Sons
Page : 308 pages
File Size : 50,6 Mb
Release : 2020-04-28
Category : Mathematics
ISBN : 9781786304544

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Mathematical Modeling of Random and Deterministic Phenomena by Solym Mawaki Manou-Abi,Sophie Dabo-Niang,Jean-Jacques Salone Pdf

This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.

Mathematical Modeling and Computation of Real-Time Problems

Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy
Mathematical Modeling and Computation of Real Time Problems Book PDF

Author : Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy
Publisher : CRC Press
Page : 172 pages
File Size : 43,7 Mb
Release : 2021-01-04
Category : Mathematics
ISBN : 9781000288674

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Mathematical Modeling and Computation of Real-Time Problems by Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy Pdf

This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.

Recent Trends in Mathematical Modeling and High Performance Computing

Vinai K. Singh,Yaroslav D. Sergeyev,Andreas Fischer
Recent Trends in Mathematical Modeling and High Performance Computing Book PDF

Author : Vinai K. Singh,Yaroslav D. Sergeyev,Andreas Fischer
Publisher : Springer Nature
Page : 441 pages
File Size : 55,8 Mb
Release : 2021-08-23
Category : Mathematics
ISBN : 9783030682811

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Recent Trends in Mathematical Modeling and High Performance Computing by Vinai K. Singh,Yaroslav D. Sergeyev,Andreas Fischer Pdf

This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering. The content of the book is based on talks and papers presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held at Inderprastha Engineering College in Ghaziabad, India in January 2020. A wide range of both theoretical and applied topics are covered in detail, including the conceptualization of infinity, efficient domain decomposition, high capacity wireless communication, infectious disease modeling, and more. These chapters are organized around the following areas: Partial and ordinary differential equations Optimization and optimal control High performance and scientific computing Stochastic models and statistics Recent Trends in Mathematical Modeling and High Performance Computing will be of interest to researchers in both mathematics and engineering, as well as to practitioners who face complex models and extensive computations.

Mathematical Modelling

Pramod Belkhode,Prashant Maheshwary,Kanchan Borkar,J.P. Modak
Mathematical Modelling Book PDF

Author : Pramod Belkhode,Prashant Maheshwary,Kanchan Borkar,J.P. Modak
Publisher : CRC Press
Page : 316 pages
File Size : 51,6 Mb
Release : 2023-05-16
Category : Technology & Engineering
ISBN : 9781000840155

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Mathematical Modelling by Pramod Belkhode,Prashant Maheshwary,Kanchan Borkar,J.P. Modak Pdf

This book investigates human–machine systems through the use of case studies such as crankshaft maintenance, liner piston maintenance, and biodiesel blend performance. Through mathematical modelling and using various case studies, the book provides an understanding of how a mathematical modelling approach can assist in working out problems in any industrial-oriented activity. Mathematical Modelling: Simulation Analysis and Industrial Applications details a data analysis approach using mathematical modelling sensitivity. This approach helps in the processing of any type of data and can predict the result so that based on the result, the activity can be controlled by knowing the most influencing variables or parameters involved in the phenomenon. This book helps to solve field and experimental problems of any research activity using a data-based modelling concept to assist in solving any type of problem. Students in manufacturing, mechanical, and industrial engineering programs will find this book very useful. This topic has continued to advance and incorporate new concepts so that the manufacturing field continues to be a dynamic and exciting field of study.