Mathematical Modelling And Scientific Computing With Applications

Author : Santanu Manna,Biswa Nath Datta,Sk. Safique Ahmad
Publisher : Springer Nature
Page : 467 pages
File Size : 44,7 Mb
Release : 2020-02-14
Category : Mathematics
ISBN : 9789811513381

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Mathematical Modelling and Scientific Computing with Applications by Santanu Manna,Biswa Nath Datta,Sk. Safique Ahmad Pdf

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.

Author : Anne Bourlioux,Martin Gander
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401005104

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Modern Methods in Scientific Computing and Applications by Anne Bourlioux,Martin Gander Pdf

When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote. More immediate things were on our minds: one of us was about to go on leave to the Courant Institute, the other preparing for a research summer in Paris. But the more we learned about the possibilities of such a seminar, the support for the organization and also the great history of the SMS, the more we grew attached to the project. The topics we planned to cover were intended to span a wide range of theoretical and practical tools for solving problems in image processing, thin films, mathematical finance, electrical engineering, moving interfaces, and combustion. These applications alone show how wide the influence of scientific computing has become over the last two decades: almost any area of science and engineering is greatly influenced by simulations, and the SMS workshop in this field came very timely. We decided to organize the workshop in pairs of speakers for each of the eight topics we had chosen, and we invited the leading experts worldwide in these fields. We were very fortunate that every speaker we invited accepted to come, so the program could be realized as planned.

Author : Deuflhard
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468467543

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Large Scale Scientific Computing by Deuflhard Pdf

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.

Author : Bertil Gustafsson
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 50,8 Mb
Release : 2011-06-11
Category : Mathematics
ISBN : 9783642194955

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Fundamentals of Scientific Computing by Bertil Gustafsson Pdf

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

Author : Hans Georg Bock,Xuan Phu Hoang,Rolf Rannacher,Johannes P. Schlöder
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 52,8 Mb
Release : 2012-02-03
Category : Computers
ISBN : 9783642257070

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Modeling, Simulation and Optimization of Complex Processes by Hans Georg Bock,Xuan Phu Hoang,Rolf Rannacher,Johannes P. Schlöder Pdf

This proceedings volume contains a selection of papers presented at the Fourth International Conference on High Performance Scientific Computing held at the Hanoi Institute of Mathematics, Vietnamese Academy of Science and Technology (VAST), March 2-6, 2009. The conference was organized by the Hanoi Institute of Mathematics, the Interdisciplinary Center for Scientific Computing (IWR), Heidelberg, and its Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences, and Ho Chi Minh City University of Technology. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and applications in practice. Subjects covered are mathematical modelling, numerical simulation, methods for optimization and control, parallel computing, software development, applications of scientific computing in physics, mechanics, biology and medicine, engineering, hydrology problems, transport, communication networks, production scheduling, industrial and commercial problems.

Author : Daniela Calvetti,Erkki Somersalo
Publisher : SIAM
Page : 229 pages
File Size : 48,5 Mb
Release : 2013-03-21
Category : Mathematics
ISBN : 9781611972474

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Computational Mathematical Modeling by Daniela Calvetti,Erkki Somersalo Pdf

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.

Author : Dianne P. O'Leary
Publisher : SIAM
Page : 377 pages
File Size : 52,6 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9780898717723

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Scientific Computing with Case Studies by Dianne P. O'Leary Pdf

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.

Author : Vinai K. Singh,David Gao,Andreas Fischer
Publisher : Springer
Page : 503 pages
File Size : 49,7 Mb
Release : 2019-02-14
Category : Computers
ISBN : 9783030024871

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Advances in Mathematical Methods and High Performance Computing by Vinai K. Singh,David Gao,Andreas Fischer Pdf

This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.

Author : Hans Georg Bock,Ekaterina Kostina,Xuan Phu Hoang,Rolf Rannacher
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 50,7 Mb
Release : 2005-12-05
Category : Computers
ISBN : 9783540271703

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Modeling, Simulation and Optimization of Complex Processes by Hans Georg Bock,Ekaterina Kostina,Xuan Phu Hoang,Rolf Rannacher Pdf

This proceedings volume contains a selection of papers presented at the symposium "International Conference on High Performance Scientific Computing'' held at the Hanoi Institute of Mathematics of the Vietnam National Center for Natural Science and Technology (NCST), March 10-14, 2003. The conference has been organized by the Hanoi Institute of Mathematics, SFB 359 ''Reactive Flows, Transport and Diffusion'', Heidelberg, Ho Chi Minh City University of Technology and Interdisciplinary Center for Scientific Computing (IWR), Heidelberg. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and applications in practice. Subjects covered are mathematical modelling, numerical simulation, methods for optimization and optimal control, parallel computing, symbolic computing, software development, applications of scientific computing in physics, chemistry, biology and mechanics, environmental and hydrology problems, transport, logistics and site location, communication networks, production scheduling, industrial and commercial problems.

Author : Thierry Goudon
Publisher : John Wiley & Sons
Page : 472 pages
File Size : 52,8 Mb
Release : 2016-10-14
Category : Mathematics
ISBN : 9781119371274

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Mathematics for Modeling and Scientific Computing by Thierry Goudon Pdf

This book provides the mathematical basis for investigating numerically equations from physics, life sciences or engineering. Tools for analysis and algorithms are confronted to a large set of relevant examples that show the difficulties and the limitations of the most naïve approaches. These examples not only provide the opportunity to put into practice mathematical statements, but modeling issues are also addressed in detail, through the mathematical perspective.

Author : Robert S. Stepleman
Publisher : North Holland
Page : 384 pages
File Size : 51,6 Mb
Release : 1983
Category : Computers
ISBN : STANFORD:36105031962413

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Scientific Computing by Robert S. Stepleman Pdf

Author : Hans Georg Bock,Ekaterina Kostina,Xuan Phu Hoang,Rolf Rannacher
Publisher : Springer Science & Business Media
Page : 665 pages
File Size : 43,9 Mb
Release : 2008-06-19
Category : Computers
ISBN : 9783540794097

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Modeling, Simulation and Optimization of Complex Processes by Hans Georg Bock,Ekaterina Kostina,Xuan Phu Hoang,Rolf Rannacher Pdf

This proceedings volume covers the broad interdisciplinary spectrum of scientific computing and presents recent advances in theory, development of methods, and applications in practice.

Author : Walter Krämer,Jürgen Wolff von Gudenberg
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 54,8 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9781475764840

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Scientific Computing, Validated Numerics, Interval Methods by Walter Krämer,Jürgen Wolff von Gudenberg Pdf

Scan 2000, the GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics and Interval 2000, the International Conference on Interval Methods in Science and Engineering were jointly held in Karlsruhe, September 19-22, 2000. The joint conference continued the series of 7 previous Scan-symposia under the joint sponsorship of GAMM and IMACS. These conferences have traditionally covered the numerical and algorithmic aspects of scientific computing, with a strong emphasis on validation and verification of computed results as well as on arithmetic, programming, and algorithmic tools for this purpose. The conference further continued the series of 4 former Interval conferences focusing on interval methods and their application in science and engineering. The objectives are to propagate current applications and research as well as to promote a greater understanding and increased awareness of the subject matters. The symposium was held in Karlsruhe the European cradle of interval arithmetic and self-validating numerics and attracted 193 researchers from 33 countries. 12 invited and 153 contributed talks were given. But not only the quantity was overwhelming we were deeply impressed by the emerging maturity of our discipline. There were many talks discussing a wide variety of serious applications stretching all parts of mathematical modelling. New efficient, publicly available or even commercial tools were proposed or presented, and also foundations of the theory of intervals and reliable computations were considerably strengthened.

Author : Peter Deuflhard
Publisher : Unknown
Page : 388 pages
File Size : 47,8 Mb
Release : 1987-01-01
Category : Computers
ISBN : 3764333553

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Large Scale Scientific Computing by Peter Deuflhard Pdf

Author : Zlatko Drmac
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 44,7 Mb
Release : 2003-01-31
Category : Computers
ISBN : 0306474263

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Applied Mathematics and Scientific Computing by Zlatko Drmac Pdf

Proceedings of the second conference on Applied Mathematics and Scientific Computing, held June 4-9, 2001 in Dubrovnik, Croatia. The main idea of the conference was to bring together applied mathematicians both from outside academia, as well as experts from other areas (engineering, applied sciences) whose work involves advanced mathematical techniques. During the meeting there were one complete mini-course, invited presentations, contributed talks and software presentations. A mini-course Schwarz Methods for Partial Differential Equations was given by Prof Marcus Sarkis (Worcester Polytechnic Institute, USA), and invited presentations were given by active researchers from the fields of numerical linear algebra, computational fluid dynamics , matrix theory and mathematical physics (fluid mechanics and elasticity). This volume contains the mini-course and review papers by invited speakers (Part I), as well as selected contributed presentations from the field of analysis, numerical mathematics, and engineering applications.