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:

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:

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

Iterative Operator Splitting Methods with Higher Order Time Integration Methods and Applications for Parabolic Partial Differential Equations

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ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (18 download)

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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:

Operator Splitting Method for Parabolic Partial Differential Equations

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ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (879 download)

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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:

Decomposition Methods for Differential Equations

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Publisher : CRC Press
ISBN 13 : 1439810974
Total Pages : 320 pages
Book Rating : 4.4/5 (398 download)

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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

Operator Splitting Method and Applications for Semilinear Parabolic Partial Differential Equations

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ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (773 download)

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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:

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.

Coupled Systems

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Publisher : CRC Press
ISBN 13 : 1466578017
Total Pages : 317 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Coupled Systems by : Juergen Geiser

Download or read book Coupled Systems written by Juergen Geiser and published by CRC Press. This book was released on 2014-02-14 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient Methods to Solve Complex Coupled Systems Coupled Systems: Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and numerical methods. It presents splitting multiscale methods to solve multiscale and multiphysics problems and describes analytical and numerical methods in time and space for evolution equations arising in engineering problems. The book discusses the effectiveness, simplicity, stability, and consistency of the methods in solving problems that occur in real-life engineering tasks. It shows how MATLAB® and Simulink® are used to implement the methods. The author also covers the coupling of separate, multiple, and logical scales in applications, including microscale, macroscale, multiscale, and multiphysics problems. Covering mathematical, algorithmic, and practical aspects, this book brings together innovative ideas in coupled systems and extends standard engineering tools to coupled models in materials and flow problems with respect to their scale dependencies and their influence on each time and spatial scale.

Corrected Operator Splitting for Nonlinear Parabolic Equations

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Corrected Operator Splitting for Nonlinear Parabolic Equations by : K. H. Karlsen

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Wave Propagation in Materials for Modern Applications

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Publisher : BoD – Books on Demand
ISBN 13 : 9537619656
Total Pages : 555 pages
Book Rating : 4.5/5 (376 download)

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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.

Iterative Operator Splitting Methods for Differential Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (838 download)

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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:

G-Convergence and Homogenization of Nonlinear Partial Differential Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792347200
Total Pages : 276 pages
Book Rating : 4.3/5 (472 download)

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Book Synopsis G-Convergence and Homogenization of Nonlinear Partial Differential Operators by : A.A. Pankov

Download or read book G-Convergence and Homogenization of Nonlinear Partial Differential Operators written by A.A. Pankov and published by Springer Science & Business Media. This book was released on 1997-09-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields. In general, the theory deals with the following: Let Ak be a sequence of differential operators, linear or nonlinepr. We want to examine the asymptotic behaviour of solutions uk to the equation Auk = f, as k ~ =, provided coefficients of Ak contain rapid oscillations. This is the case, e. g. when the coefficients are of the form a(e/x), where the function a(y) is periodic and ek ~ 0 ask~=. Of course, of oscillation, like almost periodic or random homogeneous, are of many other kinds interest as well. It seems a good idea to find a differential operator A such that uk ~ u, where u is a solution of the limit equation Au = f Such a limit operator is usually called the homogenized operator for the sequence Ak . Sometimes, the term "averaged" is used instead of "homogenized". Let us look more closely what kind of convergence one can expect for uk. Usually, we have some a priori bound for the solutions. However, due to the rapid oscillations of the coefficients, such a bound may be uniform with respect to k in the corresponding energy norm only. Therefore, we may have convergence of solutions only in the weak topology of the energy space.

Finite Difference Methods,Theory and Applications

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Publisher : Springer
ISBN 13 : 3319202391
Total Pages : 443 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Finite Difference Methods,Theory and Applications by : Ivan Dimov

Download or read book Finite Difference Methods,Theory and Applications written by Ivan Dimov and published by Springer. This book was released on 2015-06-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.

Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM

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Publisher : Cambridge University Press
ISBN 13 : 0521877261
Total Pages : 657 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM by : John A. Trangenstein

Download or read book Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM written by John A. Trangenstein and published by Cambridge University Press. This book was released on 2013-04-18 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).

Group Explicit Methods for the Numerical Solution of Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 9789056990190
Total Pages : 478 pages
Book Rating : 4.9/5 (91 download)

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Book Synopsis Group Explicit Methods for the Numerical Solution of Partial Differential Equations by : David J. Evans

Download or read book Group Explicit Methods for the Numerical Solution of Partial Differential Equations written by David J. Evans and published by CRC Press. This book was released on 1997-05-22 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new class of methods, termed "group explicit methods," is introduced in this text. Their applications to solve parabolic, hyperbolic and elliptic equations are outlined, and the advantages for their implementation on parallel computers clearly portrayed. Also included are the introductory and fundamental concepts from which the new methods are derived, and on which they are dependent. With the increasing advent of parallel computing into all aspects of computational mathematics, there is no doubt that the new methods will be widely used.

Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications

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Publisher : CRC Press
ISBN 13 : 0203998065
Total Pages : 384 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications by : Victor A. Galaktionov

Download or read book Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications written by Victor A. Galaktionov and published by CRC Press. This book was released on 2004-05-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Plya in the 1930's and rediscovered in part several times since, it was not un