Computational Mathematical Modeling

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Publisher : SIAM
ISBN 13 : 1611972477
Total Pages : 229 pages
Book Rating : 4.74/5 ( download)

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Book Synopsis Computational Mathematical Modeling by : Daniela Calvetti

Download or read book Computational Mathematical Modeling written by Daniela Calvetti and published by SIAM. This book was released on 2013-03-21 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interesting real-world mathematical modelling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modelling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.

Modelling Mathematical Methods and Scientific Computation

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Publisher : CRC Press
ISBN 13 : 9780849383311
Total Pages : 516 pages
Book Rating : 4.15/5 ( download)

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Book Synopsis Modelling Mathematical Methods and Scientific Computation by : Nicola Bellomo

Download or read book Modelling Mathematical Methods and Scientific Computation written by Nicola Bellomo and published by CRC Press. This book was released on 1994-12-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.

Scientific Computing with Mathematica®

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201519
Total Pages : 278 pages
Book Rating : 4.19/5 ( download)

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Book Synopsis Scientific Computing with Mathematica® by : Addolorata Marasco

Download or read book Scientific Computing with Mathematica® written by Addolorata Marasco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE's problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-

Data-Driven Modeling & Scientific Computation

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Publisher :
ISBN 13 : 0199660336
Total Pages : 657 pages
Book Rating : 4.39/5 ( download)

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Book Synopsis Data-Driven Modeling & Scientific Computation by : Jose Nathan Kutz

Download or read book Data-Driven Modeling & Scientific Computation written by Jose Nathan Kutz and published by . This book was released on 2013-08-08 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.

Mathematical Modelling and Scientific Computing with Applications

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Publisher : Springer Nature
ISBN 13 : 9811513384
Total Pages : 467 pages
Book Rating : 4.81/5 ( download)

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Book Synopsis Mathematical Modelling and Scientific Computing with Applications by : Santanu Manna

Download or read book Mathematical Modelling and Scientific Computing with Applications written by Santanu Manna and published by Springer Nature. This book was released on 2020-02-14 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original research papers presented at the International Conference on Mathematical Modelling and Scientific Computing, held at the Indian Institute of Technology Indore, India, on 19–21 July 2018. Organized into 30 chapters, the book presents the recent progress and the most advanced innovations, trends, and real-world challenges encountered and solutions embraced in the applications of mathematics and scientific computing. The book will be of interests to a wide variety of researchers, students and the practicing engineers working in diverse areas of science and engineering, ranging from applied and computational mathematics, vibration problem, computer science, and numerical optimization to physics, chemistry, biology, electrical, civil, mechanical, chemical, seismology, aerospace, and medical sciences. The aim of the conference is to bring together leading academicians, scientists, researchers, engineers, and industry partners from all over the globe to exchange and share their experiences and research results on various aspects of applied mathematics and scientific computation, like, differential equation, modeling, simulation, dynamical systems, numerical analysis, matrix theory, inverse problems, and solid and fluid mechanics, computational engineering.

Large Scale Scientific Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 1468467549
Total Pages : 390 pages
Book Rating : 4.43/5 ( download)

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Book Synopsis Large Scale Scientific Computing by : Deuflhard

Download or read book Large Scale Scientific Computing written by Deuflhard 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: In this book, the new and rapidly expanding field of scientific computing is understood in a double sense: as computing for scientific and engineering problems and as the science of doing such computations. Thus scientific computing touches at one side mathematical modelling (in the various fields of applications) and at the other side computer science. As soon as the mathematical models de scribe the features of real life processes in sufficient detail, the associated computations tend to be large scale. As a consequence, interest more and more focusses on such numerical methods that can be expected to cope with large scale computational problems. Moreover, given the algorithms which are known to be efficient on a tradi tional computer, the question of implementation on modern supercomputers may get crucial. The present book is the proceedings of a meeting on "Large Scale Scientific Computing" , that was held a t the Oberwolfach Mathematical Institute (July 14-19, 1985) under the auspices of the Sonderforschungsbereich 123 of the University of Heidelberg. Participants included applied scientists with computational interests, numerical analysts, and experts on modern parallel computers. 'l'he purpose of the meeting was to establish a common under standing of recent issues in scientific computing, especially in view of large scale problems. Fields of applications, which have been covered, included semi-conductor design, chemical combustion, flow through porous media, climatology, seismology, fluid dynami. cs, tomography, rheology, hydro power plant optimization, subwil. y control, space technology.

Mathematical Modeling in Science and Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 1118207203
Total Pages : 259 pages
Book Rating : 4.08/5 ( download)

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Book Synopsis Mathematical Modeling in Science and Engineering by : Ismael Herrera

Download or read book Mathematical Modeling in Science and Engineering written by Ismael Herrera and published by John Wiley & Sons. This book was released on 2012-03-19 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

Scientific Computing with Case Studies

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Publisher : SIAM
ISBN 13 : 0898717728
Total Pages : 377 pages
Book Rating : 4.23/5 ( download)

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Book Synopsis Scientific Computing with Case Studies by : Dianne P. O'Leary

Download or read book Scientific Computing with Case Studies written by Dianne P. O'Leary and published by SIAM. This book was released on 2009-01-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.

Numerical Computing with MATLAB

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Publisher : SIAM
ISBN 13 : 0898716608
Total Pages : 340 pages
Book Rating : 4.03/5 ( download)

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Book Synopsis Numerical Computing with MATLAB by : Cleve B. Moler

Download or read book Numerical Computing with MATLAB written by Cleve B. Moler and published by SIAM. This book was released on 2010-08-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

An Introduction to Mathematical Modeling

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Publisher : Courier Corporation
ISBN 13 : 0486137120
Total Pages : 273 pages
Book Rating : 4.24/5 ( download)

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Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender

Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.