Operator-Splitting Methods Respecting Eigenvalue Problems for Nonlinear Equations and Applications for Burgers Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Operator-Splitting Methods Respecting Eigenvalue Problems for Nonlinear Equations and Applications for Burgers Equations by : Jürgen Geiser

Download or read book Operator-Splitting Methods Respecting Eigenvalue Problems for Nonlinear Equations and Applications for Burgers 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:

Operator-splitting Methods Respecting Eigenvalue Problems for Convection-diffusion and Wave Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Operator-splitting Methods Respecting Eigenvalue Problems for Convection-diffusion and Wave Equations by : Jürgen Geiser

Download or read book Operator-splitting Methods Respecting Eigenvalue Problems for Convection-diffusion and Wave 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:

Operator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Operator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag by : Reinhard Calov

Download or read book Operator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag written by Reinhard Calov and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Iterative Operator-splitting Methods for Nonlinear Differential Equations and Applications of Deposition Processes

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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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:

Splitting Methods in Communication, Imaging, Science, and Engineering

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Publisher : Springer
ISBN 13 : 3319415891
Total Pages : 822 pages
Book Rating : 4.3/5 (194 download)

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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.

Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (951 download)

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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:

Operator Splittings and Their Applications

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ISBN 13 : 9781607417767
Total Pages : 0 pages
Book Rating : 4.4/5 (177 download)

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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.

Operator Splitting Methods for Systems of Convection-diffusion Equations: Nonlinear Error Mechanisms and Correction Strategies

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ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Operator Splitting Methods for Systems of Convection-diffusion Equations: Nonlinear Error Mechanisms and Correction Strategies by : Kenneth H. Karlsen

Download or read book Operator Splitting Methods for Systems of Convection-diffusion Equations: Nonlinear Error Mechanisms and Correction Strategies written by Kenneth H. Karlsen and published by . This book was released on 2000 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Splitting Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations

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ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Splitting Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations by : R. Glowinski

Download or read book Splitting Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations written by R. Glowinski and published by . This book was released on 1984 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: Splitting methods provide efficient tools for solving linear and nonlinear time dependent problems modelled by partial differential equations. In this report we discuss the numerical solution of the Navier-Stokes equations for incompressible viscous fluids by such methods. The splitting permits decoupling the two main difficulties in the problem, namely the nonlinearity and the incompressibility. Actually these splitting methods have a broad range of applicability and can be applied for example, to the solution of eigenvalue problems. Originator supplied keywords include: operator splitting methods, nonlinear least squares, preconditioned conjugate gradient algorithms, finite element approximations, eigenvalue calculation, and variational methods.

Iterative Splitting Methods for Differential Equations

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Publisher : CRC Press
ISBN 13 : 1439869839
Total Pages : 325 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Iterative Splitting Methods for Differential Equations by : Juergen Geiser

Download or read book Iterative Splitting Methods for Differential Equations written by Juergen Geiser and published by CRC Press. This book was released on 2011-06-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations.In th

Overlapping Operator-Splitting Methods with Higher-Order Splitting Methods and Applications in Stiff Differential Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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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:

Multicomponent and Multiscale Systems

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Publisher : Springer
ISBN 13 : 3319151177
Total Pages : 343 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Multicomponent and Multiscale Systems by : Juergen Geiser

Download or read book Multicomponent and Multiscale Systems written by Juergen Geiser and published by Springer. This book was released on 2015-08-21 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the latest research results from combined multi-component and multi-scale explorations. It provides theory, considers underlying numerical methods and presents brilliant computational experimentation. Engineering computations featured in this monograph further offer particular interest to many researchers, engineers and computational scientists working in frontier modeling and applications of multicomponent and multiscale problems. Professor Geiser gives specific attention to the aspects of decomposing and splitting delicate structures and controlling decomposition and the rationale behind many important applications of multi-component and multi-scale analysis. Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems. The book is ideal for engineers and scientists working in theoretical and applied areas.

Numerical Methods for Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441964126
Total Pages : 527 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Numerical Methods for Fluid Dynamics by : Dale R. Durran

Download or read book Numerical Methods for Fluid Dynamics written by Dale R. Durran and published by Springer Science & Business Media. This book was released on 2010-09-14 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Chebyshev and Fourier Spectral Methods

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Publisher : Courier Corporation
ISBN 13 : 0486411834
Total Pages : 690 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Chebyshev and Fourier Spectral Methods by : John P. Boyd

Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Numerical Models for Differential Problems

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Publisher : Springer Science & Business
ISBN 13 : 8847055229
Total Pages : 668 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Numerical Models for Differential Problems by : Alfio Quarteroni

Download or read book Numerical Models for Differential Problems written by Alfio Quarteroni and published by Springer Science & Business. This book was released on 2014-04-25 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

Introduction to Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3319020994
Total Pages : 636 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Partial Differential Equations by : Peter J. Olver

Download or read book Introduction to Partial Differential Equations written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

A Course on Rough Paths

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Publisher : Springer Nature
ISBN 13 : 3030415562
Total Pages : 346 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Course on Rough Paths by : Peter K. Friz

Download or read book A Course on Rough Paths written by Peter K. Friz and published by Springer Nature. This book was released on 2020-05-27 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property. Essentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text. From the reviews of the first edition: "Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory" - Fabrice Baudouin in the Mathematical Reviews "It is easy to base a graduate course on rough paths on this ... A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art" - Nicolas Perkowski in Zentralblatt MATH