Fitted Numerical Methods For Singular Perturbation Problems Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions Revised Edition

Author : Miller John J H,O'riordan Eugene,Shishkin G I
Publisher : World Scientific
Page : 192 pages
File Size : 42,6 Mb
Release : 2012-02-29
Category : Mathematics
ISBN : 9789814452779

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Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition) by Miller John J H,O'riordan Eugene,Shishkin G I Pdf

Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.

Author : Robert E. O'Malley
Publisher : Springer
Page : 256 pages
File Size : 40,9 Mb
Release : 2014-11-19
Category : Mathematics
ISBN : 9783319119243

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Historical Developments in Singular Perturbations by Robert E. O'Malley Pdf

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley has written a number of books on singular perturbations. This book has developed from many of his works in the field of perturbation theory.

Author : Svetozar Margenov,Lubin Georgiev Vulkov
Publisher : Springer Science & Business Media
Page : 646 pages
File Size : 52,6 Mb
Release : 2009-03-09
Category : Computers
ISBN : 9783642004636

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Numerical Analysis and Its Applications by Svetozar Margenov,Lubin Georgiev Vulkov Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.

Author : P. N. Agrawal,R. N. Mohapatra,Uaday Singh,H. M. Srivastava
Publisher : Springer
Page : 764 pages
File Size : 42,5 Mb
Release : 2015-08-22
Category : Mathematics
ISBN : 9788132224853

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Mathematical Analysis and its Applications by P. N. Agrawal,R. N. Mohapatra,Uaday Singh,H. M. Srivastava Pdf

This book discusses recent developments in and the latest research on mathematics, statistics and their applications. All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. The book presents roughly 60 unpublished, high-quality and peer-reviewed research papers that cover a broad range of areas including approximation theory, harmonic analysis, operator theory, fixed-point theory, functional differential equations, dynamical and control systems, complex analysis, special functions, function spaces, summability theory, Fourier and wavelet analysis, and numerical analysis – all of which are topics of great interest to the research community – while further papers highlight important applications of mathematical analysis in science, engineering and related areas. This conference aims at bringing together experts and young researchers in mathematics from all over the world to discuss the latest advances in mathematical analysis and at promoting the exchange of ideas in various applications of mathematics in engineering, physics and biology. This conference encourages international collaboration and provides young researchers an opportunity to learn about the current state of the research in their respective fields.

Author : Petr Knobloch
Publisher : Springer
Page : 313 pages
File Size : 52,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9783319257273

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Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 by Petr Knobloch Pdf

This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic. These are devoted to the theoretical and/or numerical analysis of problems involving boundary and interior layers and methods for solving these problems numerically. The authors are both mathematicians (pure and applied) and engineers, and bring together a large number of interesting ideas. The wide variety of topics treated in the contributions provides an excellent overview of current research into the theory and numerical solution of problems involving boundary and interior layers.

Author : Lubin Vulkov,Jerzy Wasniewski,Plamen Yalamov
Publisher : Springer
Page : 790 pages
File Size : 51,6 Mb
Release : 2003-07-31
Category : Mathematics
ISBN : 9783540452621

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Numerical Analysis and Its Applications by Lubin Vulkov,Jerzy Wasniewski,Plamen Yalamov Pdf

This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Numerical Analysis and Its Applications, NAA 2000, held in Rousse, Bulgaria in June 2000.The 90 revised papers presented were carefully selected for inclusion in the book during the two rounds of inspection and reviewing. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, etc.

Author : Ivan Dimov,István Faragó,Lubin Vulkov
Publisher : Springer
Page : 688 pages
File Size : 54,9 Mb
Release : 2019-01-28
Category : Computers
ISBN : 9783030115395

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Finite Difference Methods. Theory and Applications by Ivan Dimov,István Faragó,Lubin Vulkov Pdf

This book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were carefully reviewed and selected from 94 submissions. They deal with many modern and new numerical techniques like splitting techniques, Green’s function method, multigrid methods, and immersed interface method.

Author : Lubin Vulkov,John James Henry Miller
Publisher : Nova Publishers
Page : 298 pages
File Size : 52,8 Mb
Release : 2000
Category : Mathematics
ISBN : 1560728485

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Analytical and Numerical Methods for Convection-dominated and Singularly Perturbed Problems by Lubin Vulkov,John James Henry Miller Pdf

This volume is the Proceedings of the Workshop on Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems, which took place in Lozenetz, Bulgaria, 27-31 August 1998. The workshop attracted about 50 participants from 12 countries. The volume includes 13 invited lectures and 19 contributed papers presented at the workshop and thus gives an overview of the latest developments in both the theory and applications of advanced numerical methods to problems having boundary and interior layers. There was an emphasis on experiences from the numerical analysis of such problems and on theoretical developments. The aim of the workshop was to provide an opportunity for scientists from the East and the West, who develop robust methods for singularly perturbed and related problems and also who apply these methods to real-life problems, to discuss recent achievements in this area and to exchange ideas with a view of possible research co-operation.

Author : K.W. Morton
Publisher : CRC Press
Page : 385 pages
File Size : 45,6 Mb
Release : 2019-02-25
Category : Mathematics
ISBN : 9781351359672

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Revival: Numerical Solution Of Convection-Diffusion Problems (1996) by K.W. Morton Pdf

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be very different in the two limiting cases of elliptic and hyperbolic equations. Many different ideas and approaches have been proposed in widely differing contexts to resolve the difficulties of exponential fitting, compact differencing, number upwinding, artificial viscosity, streamline diffusion, Petrov-Galerkin and evolution Galerkin being some examples from the main fields of finite difference and finite element methods. The main aim of this volume is to draw together all these ideas and see how they overlap and differ. The reader is provided with a useful and wide ranging source of algorithmic concepts and techniques of analysis. The material presented has been drawn both from theoretically oriented literature on finite differences, finite volume and finite element methods and also from accounts of practical, large-scale computing, particularly in the field of computational fluid dynamics.

Author : Martin Stynes,David Stynes
Publisher : American Mathematical Soc.
Page : 156 pages
File Size : 41,5 Mb
Release : 2018-11-21
Category : Differential equations
ISBN : 9781470448684

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Convection-Diffusion Problems: An Introduction to Their Analysis and Numerical Solution by Martin Stynes,David Stynes Pdf

Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading.

Author : Appanah Rao Appadu,Ramoshweu Solomon Lebelo,Hagos Hailu Gidey,Bilge Inan
Publisher : Frontiers Media SA
Page : 140 pages
File Size : 41,8 Mb
Release : 2023-04-05
Category : Science
ISBN : 9782832518250

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Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment by Appanah Rao Appadu,Ramoshweu Solomon Lebelo,Hagos Hailu Gidey,Bilge Inan Pdf

Author : Valarmathi Sigamani,John J. H. Miller,Shivaranjani Nagarajan,Parthiban Saminathan
Publisher : Springer Nature
Page : 218 pages
File Size : 45,9 Mb
Release : 2022-01-24
Category : Mathematics
ISBN : 9789811675461

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Differential Equations and Applications by Valarmathi Sigamani,John J. H. Miller,Shivaranjani Nagarajan,Parthiban Saminathan Pdf

This book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019. The book discusses topics on singular perturbation problems, differential equations, numerical analysis, fuzzy logics, fuzzy differential equations, and mathematical physics, and their interdisciplinary applications in all areas of basic sciences: mathematics, physics, chemistry, and biology. It will be useful to researchers and scientists in all disciplines of basic sciences. This book will be very useful to know the different scientific approaches for a single physical system.

Author : Ali R. Ansari
Publisher : Springer
Page : 274 pages
File Size : 51,5 Mb
Release : 2014-08-04
Category : Mathematics
ISBN : 9783319069234

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Advances in Applied Mathematics by Ali R. Ansari Pdf

This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The first of these was mathematical biology, including a keynote address by Professor Philip Maini. The second theme was computational science/numerical analysis, including a keynote address by Professor Grigorii Shishkin. The conference also addressed more general applications topics, with papers in business applications, fluid mechanics, optimization, scheduling problems and engineering applications, as well as a keynote by Professor Ali Nayfeh.

Author : Ivan Dimov,István Faragó,Lubin Vulkov
Publisher : Springer
Page : 785 pages
File Size : 43,6 Mb
Release : 2017-04-11
Category : Computers
ISBN : 9783319570990

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Numerical Analysis and Its Applications by Ivan Dimov,István Faragó,Lubin Vulkov Pdf

This book constitutes thoroughly revised selected papers of the 6th International Conference on Numerical Analysis and Its Applications, NAA 2016, held in Lozenetz, Bulgaria, in June 2016. The 90 revised papers presented were carefully reviewed and selected from 98 submissions. The conference offers a wide range of the following topics: Numerical Modeling; Numerical Stochastics; Numerical Approx-imation and Computational Geometry; Numerical Linear Algebra and Numer-ical Solution of Transcendental Equations; Numerical Methods for Differential Equations; High Performance Scientific Computing; and also special topics such as Novel methods in computational finance based on the FP7 Marie Curie Action,Project Multi-ITN STRIKE - Novel Methods in Compu-tational Finance, Grant Agreement Number 304617; Advanced numerical and applied studies of fractional differential equations.

Author : López de Silanes, M. C.,y otros
Publisher : Prensas de la Universidad de Zaragoza
Page : 242 pages
File Size : 54,7 Mb
Release : 2018-02-20
Category : Mathematics
ISBN : 9788417358006

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Fourteenth International Conference Zaragoza–Pau on Mathematics and its Applications by López de Silanes, M. C.,y otros Pdf

The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matemática Aplicada, the Departamento de Métodos Estadísticos and the Departamento de Matemáticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Mathématiques et de leurs Applications, from the Université de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Fourteenth Conference took place in Jaca (Spain) from 12nd to 15th September 2016. During those four days, 99 mathematicians, coming from di erent universities, research institutes or the industrial sector, attended 14 plenary lectures, 62 contributed talks and a poster session with 4 posters. We note that in this edition there were 11 mini-symposia, two of them co-organized by colleagues from the Universidad de Zaragoza and the Université de Pau et des Pays de l’Adour.