Differential Equation Models In Applied Mathematics

Download Differential Equation Models In Applied Mathematics full books in PDF, epub, and Kindle. Read online Differential Equation Models In Applied Mathematics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Differential Equation Models

Author : Martin Braun
Publisher : Springer Science & Business Media
ISBN 13 : 1461254272
Total Pages : 390 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Differential Equation Models by : Martin Braun

Download or read book Differential Equation Models written by Martin Braun and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises are included in most chapters. Some units can be covered in one class, whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.

Differential Equation Models in Applied Mathematics

Author : Fasma Diele
Publisher : Mdpi AG
ISBN 13 : 9783036530109
Total Pages : 152 pages
Book Rating : 4.5/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Differential Equation Models in Applied Mathematics by : Fasma Diele

Download or read book Differential Equation Models in Applied Mathematics written by Fasma Diele and published by Mdpi AG. This book was released on 2022-01-29 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book contains the articles published in the Special Issue "Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges" of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding, and interpretation of models of differential equations (DEs) in different real world applications. The technical topics covered in the seven articles published in this book include: asymptotic properties of high order nonlinear DEs, analysis of backward bifurcation, and stability analysis of fractional-order differential systems. Models oriented to real applications consider the chemotactic between cell species, the mechanism of on-off intermittency in food chain models, and the occurrence of hysteresis in marketing. Numerical aspects deal with the preservation of mass and positivity and the efficient solution of Boundary Value Problems (BVPs) for optimal control problems. I hope that this collection will be useful for those working in the area of modelling real-word applications through differential equations and those who care about an accurate numerical approximation of their solutions. The reading is also addressed to those willing to become familiar with differential equations which, due to their predictive abilities, represent the main mathematical tool for applying scenario analysis to our changing world.

An Invitation to Applied Mathematics

Author : Carmen Chicone
Publisher : Academic Press
ISBN 13 : 0128041544
Total Pages : 878 pages
Book Rating : 4.1/5 (28 download)

DOWNLOAD NOW!

Book Synopsis An Invitation to Applied Mathematics by : Carmen Chicone

Download or read book An Invitation to Applied Mathematics written by Carmen Chicone and published by Academic Press. This book was released on 2016-09-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. Presents an integrated wealth of modeling, analysis, and numerical methods in one volume Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM Includes a rich set of applications, with more appealing problems and projects suggested

Differential Equation Models in Applied Mathematics

Author : Fasma Diele
Publisher :
ISBN 13 : 9783036530116
Total Pages : 152 pages
Book Rating : 4.5/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Differential Equation Models in Applied Mathematics by : Fasma Diele

Download or read book Differential Equation Models in Applied Mathematics written by Fasma Diele and published by . This book was released on 2022 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book contains the articles published in the Special Issue “Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges” of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding, and interpretation of models of differential equations (DEs) in different real world applications. The technical topics covered in the seven articles published in this book include: asymptotic properties of high order nonlinear DEs, analysis of backward bifurcation, and stability analysis of fractional-order differential systems. Models oriented to real applications consider the chemotactic between cell species, the mechanism of on-off intermittency in food chain models, and the occurrence of hysteresis in marketing. Numerical aspects deal with the preservation of mass and positivity and the efficient solution of Boundary Value Problems (BVPs) for optimal control problems. I hope that this collection will be useful for those working in the area of modelling real-word applications through differential equations and those who care about an accurate numerical approximation of their solutions. The reading is also addressed to those willing to become familiar with differential equations which, due to their predictive abilities, represent the main mathematical tool for applying scenario analysis to our changing world.

Methods of Mathematical Modelling

Author : Thomas Witelski
Publisher : Springer
ISBN 13 : 3319230425
Total Pages : 305 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Methods of Mathematical Modelling by : Thomas Witelski

Download or read book Methods of Mathematical Modelling written by Thomas Witelski and published by Springer. This book was released on 2015-09-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

Applied Analysis of Ordinary Differential Equations

Author : Sanjeeva Balasuriya
Publisher : MDPI
ISBN 13 : 3039217267
Total Pages : 62 pages
Book Rating : 4.0/5 (392 download)

DOWNLOAD NOW!

Book Synopsis Applied Analysis of Ordinary Differential Equations by : Sanjeeva Balasuriya

Download or read book Applied Analysis of Ordinary Differential Equations written by Sanjeeva Balasuriya and published by MDPI. This book was released on 2019-11-14 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models—for example, when considering the evolution of a probability density function—and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications.

Applied Partial Differential Equations:

Author : Peter Markowich
Publisher : Springer Science & Business Media
ISBN 13 : 3540346465
Total Pages : 210 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Applied Partial Differential Equations: by : Peter Markowich

Download or read book Applied Partial Differential Equations: written by Peter Markowich and published by Springer Science & Business Media. This book was released on 2007-08-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.

Probability and Partial Differential Equations in Modern Applied Mathematics

Author : Edward C. Waymire
Publisher : Springer Science & Business Media
ISBN 13 : 038729371X
Total Pages : 265 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Probability and Partial Differential Equations in Modern Applied Mathematics by : Edward C. Waymire

Download or read book Probability and Partial Differential Equations in Modern Applied Mathematics written by Edward C. Waymire and published by Springer Science & Business Media. This book was released on 2010-06-14 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Probability and Partial Differential Equations in Modern Applied Mathematics" is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in the sciences and engineering. A probabilistic representation of solutions to partial differential equations that arise as deterministic models allows one to exploit the power of stochastic calculus and probabilistic limit theory in the analysis of deterministic problems, as well as to offer new perspectives on the phenomena for modeling purposes. There is also a growing appreciation of the role for the inclusion of stochastic effects in the modeling of complex systems. This has led to interesting new mathematical problems at the interface of probability, dynamical systems, numerical analysis, and partial differential equations. This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical systems approaches and numerical analysis for mathematical modeling in the sciences and engineering.

Partial Differential Equations

Author : R. M. M. Mattheij
Publisher : SIAM
ISBN 13 : 0898715946
Total Pages : 689 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equations by : R. M. M. Mattheij

Download or read book Partial Differential Equations written by R. M. M. Mattheij and published by SIAM. This book was released on 2005-01-01 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems.

Differential Equation Models

Author : Martin Braun
Publisher : Springer
ISBN 13 : 9780387906959
Total Pages : 408 pages
Book Rating : 4.9/5 (69 download)

DOWNLOAD NOW!

Book Synopsis Differential Equation Models by : Martin Braun

Download or read book Differential Equation Models written by Martin Braun and published by Springer. This book was released on 1983-01-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises are included in most chapters. Some units can be covered in one class, whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.

Differential Equations

Author : Paul W. Davis
Publisher :
ISBN 13 : 9780558371562
Total Pages : 685 pages
Book Rating : 4.3/5 (715 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations by : Paul W. Davis

Download or read book Differential Equations written by Paul W. Davis and published by . This book was released on 2009 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Differential Equations

Author : Vladimir A. Dobrushkin
Publisher : CRC Press
ISBN 13 : 1498728359
Total Pages : 723 pages
Book Rating : 4.4/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Applied Differential Equations by : Vladimir A. Dobrushkin

Download or read book Applied Differential Equations written by Vladimir A. Dobrushkin and published by CRC Press. This book was released on 2014-12-16 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Contemporary Approach to Teaching Differential Equations Applied Differential Equations: An Introduction presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. Designed for a two-semester undergraduate course, the text offers a true alternative to books published for past generations of students. It enables students majoring in a range of fields to obtain a solid foundation in differential equations. The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.

A Compendium of Partial Differential Equation Models

Author :
Publisher :
ISBN 13 : 9780511507878
Total Pages : 474 pages
Book Rating : 4.5/5 (78 download)

DOWNLOAD NOW!

Book Synopsis A Compendium of Partial Differential Equation Models by :

Download or read book A Compendium of Partial Differential Equation Models written by and published by . This book was released on 2009 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model.

Partial Differential Equations

Author : Roland Glowinski
Publisher : Springer Science & Business Media
ISBN 13 : 1402087586
Total Pages : 294 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equations by : Roland Glowinski

Download or read book Partial Differential Equations written by Roland Glowinski and published by Springer Science & Business Media. This book was released on 2008-06-26 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 250 years partial di?erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at ?rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the ?rst to bene?t from the impact of partial di?erential equations on modeling and design, but a little less than a century ago the Schr ̈ odinger equation was the key opening the door to the application of partial di?erential equations to quantum chemistry, for small atomic and molecular systems at ?rst, but then for systems of fast growing complexity. The place of partial di?erential equations in mathematics is a very particular one: initially, the partial di?erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di?erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ‘constructively’ the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di?erential equations. On the other hand, several areas of mathematics such as di?erential ge- etry have bene?ted from their interactions with partial di?erential equations.

Mathematical Models

Author : Richard Haberman
Publisher : SIAM
ISBN 13 : 9781611971156
Total Pages : 419 pages
Book Rating : 4.9/5 (711 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Models by : Richard Haberman

Download or read book Mathematical Models written by Richard Haberman and published by SIAM. This book was released on 1998-12-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations.

Partial Differential Equations: Modeling, Analysis and Numerical Approximation

Author : Hervé Le Dret
Publisher : Birkhäuser
ISBN 13 : 3319270672
Total Pages : 395 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equations: Modeling, Analysis and Numerical Approximation by : Hervé Le Dret

Download or read book Partial Differential Equations: Modeling, Analysis and Numerical Approximation written by Hervé Le Dret and published by Birkhäuser. This book was released on 2016-02-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.

Modelling with Ordinary Differential Equations

Author : Alfio Borzì
Publisher : CRC Press
ISBN 13 : 1351190377
Total Pages : 339 pages
Book Rating : 4.3/5 (511 download)

DOWNLOAD NOW!

Book Synopsis Modelling with Ordinary Differential Equations by : Alfio Borzì

Download or read book Modelling with Ordinary Differential Equations written by Alfio Borzì and published by CRC Press. This book was released on 2020-04-13 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games. The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book. Features: Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.) Suitable for undergraduate and graduate students and as an introduction for researchers in engineering and the sciences Accompanied by codes which allow the reader to apply the numerical methods discussed in this book in those cases where analytical solutions are not available