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Overlapping Operator Splitting Methods With Higher Order Splitting Methods And Applications In Stiff Differential Equations
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Book Synopsis Overlapping Operator-Splitting Methods with Higher-Order Splitting Methods and Applications in Stiff Differential Equations by : Jürgen Geiser
Download or read book Overlapping Operator-Splitting Methods with Higher-Order Splitting Methods and Applications in Stiff Differential Equations written by Jürgen Geiser and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Overlapping Operator Splitting Methods Andapplications in Stiff Differential Equations by : Jürgen Geiser
Download or read book Overlapping Operator Splitting Methods Andapplications in Stiff Differential Equations written by Jürgen Geiser and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Overlapping Operator Splitting Methods and Applications in Stiff Differential Equations by : Jürgen Geiser
Download or read book Overlapping Operator Splitting Methods and Applications in Stiff Differential Equations written by Jürgen Geiser and published by . This book was released on 2006 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Decomposition Methods for Differential Equations by : Juergen Geiser
Download or read book Decomposition Methods for Differential Equations written by Juergen Geiser and published by CRC Press. This book was released on 2009-05-20 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and consistency analysis of the decomposition methods, and num
Book Synopsis Splitting Methods in Communication, Imaging, Science, and Engineering by : Roland Glowinski
Download or read book Splitting Methods in Communication, Imaging, Science, and Engineering written by Roland Glowinski and published by Springer. This book was released on 2017-01-05 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas.
Book Synopsis Iterative Operator-splitting Methods for Nonlinear Differential Equations and Applications of Deposition Processes by : Jürgen Geiser
Download or read book Iterative Operator-splitting Methods for Nonlinear Differential Equations and Applications of Deposition Processes written by Jürgen Geiser and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations by : Jürgen Geiser
Download or read book Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations written by Jürgen Geiser and published by . This book was released on 2006 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Iterative Operator Splitting Methods with Higher Order Time Integration Methods and Applications for Parabolic Partial Differential Equations by : Jürgen Geiser
Download or read book Iterative Operator Splitting Methods with Higher Order Time Integration Methods and Applications for Parabolic Partial Differential Equations written by Jürgen Geiser and published by . This book was released on 2006 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Iterative Operator Splitting Methods for Differential Equations by : Jürgen Geiser
Download or read book Iterative Operator Splitting Methods for Differential Equations written by Jürgen Geiser and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Note on Operator Splitting in a Stiff Linear Case by : Jan G. Verwer
Download or read book A Note on Operator Splitting in a Stiff Linear Case written by Jan G. Verwer and published by . This book was released on 1998 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This note is concerned with the numerical technique of operator splitting for initial value problems. Using a stiff linear ODE system as model problem, error bounds are derived for standard 1st- and 2nd-order splitting methods. The analysis focuses on deriving bounds independent of stiffness. The aim is to study the influence of stiffness on accuracy. Attention is paid to the influence of the splitting sequence on the splitting error and to the order reduction phenomenon."
Book Synopsis Operator Splitting Method for Parabolic Partial Differential Equations by : Nurcan Gücüyenen
Download or read book Operator Splitting Method for Parabolic Partial Differential Equations written by Nurcan Gücüyenen and published by . This book was released on 2013 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Operator Splittings and Their Applications by : István Faragó
Download or read book Operator Splittings and Their Applications written by István Faragó and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical modelling of several real-life phenomena is mostly based on systems of time-dependent partial differential equations. The high complexity of these systems requires the application of numerical solution techniques. However, if some "off-the-shelf" solver is applied directly to the system, accuracy and efficiency of the numerical solution can hardly be satisfied at the same time. Therefore, procedures that allow us to lead the solution of the system back to the solution of simpler systems for which sufficiently accurate as well as efficient methods exist, are of great significance. This is exactly what operator splitting attains. The different sub-processes of the described phenomenon are treated separately during operator splitting, by coupling the corresponding mathematical problems through their initial conditions. In the treatment of large scientific and engineering problems splitting procedures are an excellent tool (and, very often, the only tool) by which huge computational tasks can be made tractable on the available computers. This is the reason why in the last period splitting techniques have been widely used in many fields of real-life numerical modelling, and the number of the publications in this topic is exponentially growing. At the same time, there does not exist a well-based, systematic work on the different theoretical and practical aspects of this approach. The major aim of this work is to help scientists dealing with numerical modelling of real-life problems in understanding and applying different splitting methods. We recommend our work to numerical modellers and engineers as well as to graduate students who would like to become familiar with a very efficient computational method, applicable to a wide class of problems.
Book Synopsis Weighted Iterative Operator Splitting Methods for Stiff Problems and Applications by : Jürgen Geiser
Download or read book Weighted Iterative Operator Splitting Methods for Stiff Problems and Applications written by Jürgen Geiser and published by . This book was released on 2006 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Splitting Methods for Second-order Initial Value Problems by : Pieter Jacobus Houwen
Download or read book Splitting Methods for Second-order Initial Value Problems written by Pieter Jacobus Houwen and published by . This book was released on 1998 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We consider stiff initial-value problems for second-order differential equations of the special form y"=f(y). Stiff initial-value problem solvers are necessarily implicit, hence, we are faced with the problem of solving systems of implicit relations. This paper focuses on the construction and analysis of iterative solution methods which are effective in cases where the Jacobian of the righthand side of the differential equation can be split into a sum of matrices with a simple structure. These iterative methods consist of the modified Newton method and an iterative linear solver to deal with the linear Newton systems. The linear solver is based on the approximate factorization of the system matrix associated with the linear Newton systems. A number of convergence results are derived for the linear solver in the case where the Jacobian matrix can be split into commuting matrices. Such often [sic] problems arise in the spatial discretization of time-dependent partial differential equations. Furthermore, the stability matrix and the order of accuracy of the integration process are derived in the case of a finite number of iterations."
Book Synopsis Operator Splitting Method and Applications for Semilinear Parabolic Partial Differential Equations by : Richard Corban Harwood
Download or read book Operator Splitting Method and Applications for Semilinear Parabolic Partial Differential Equations written by Richard Corban Harwood and published by . This book was released on 2011 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wave Propagation in Materials for Modern Applications by : Andrey Petrin
Download or read book Wave Propagation in Materials for Modern Applications written by Andrey Petrin and published by BoD – Books on Demand. This book was released on 2010-01-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent decades, there has been a growing interest in micro- and nanotechnology. The advances in nanotechnology give rise to new applications and new types of materials with unique electromagnetic and mechanical properties. This book is devoted to the modern methods in electrodynamics and acoustics, which have been developed to describe wave propagation in these modern materials and nanodevices. The book consists of original works of leading scientists in the field of wave propagation who produced new theoretical and experimental methods in the research field and obtained new and important results. The first part of the book consists of chapters with general mathematical methods and approaches to the problem of wave propagation. A special attention is attracted to the advanced numerical methods fruitfully applied in the field of wave propagation. The second part of the book is devoted to the problems of wave propagation in newly developed metamaterials, micro- and nanostructures and porous media. In this part the interested reader will find important and fundamental results on electromagnetic wave propagation in media with negative refraction index and electromagnetic imaging in devices based on the materials. The third part of the book is devoted to the problems of wave propagation in elastic and piezoelectric media. In the fourth part, the works on the problems of wave propagation in plasma are collected. The fifth, sixth and seventh parts are devoted to the problems of wave propagation in media with chemical reactions, in nonlinear and disperse media, respectively. And finally, in the eighth part of the book some experimental methods in wave propagations are considered. It is necessary to emphasize that this book is not a textbook. It is important that the results combined in it are taken “from the desks of researchers“. Therefore, I am sure that in this book the interested and actively working readers (scientists, engineers and students) will find many interesting results and new ideas.
Book Synopsis High-order Multistep Asynchronous Splitting Methods (MASM) for the Numerical Solution of Multiple-time-scale Ordinary Differential Equations by : Pradeep K. Gudla
Download or read book High-order Multistep Asynchronous Splitting Methods (MASM) for the Numerical Solution of Multiple-time-scale Ordinary Differential Equations written by Pradeep K. Gudla and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
