Modern Solution Methods For Nonlinear Multidimensional Problems
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Constructive Modeling Of Structural Turbulence And Hydrodynamic Instabilities
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Author : Oleg Mikha?lovich Belot?serkovski?
language : en
Publisher: World Scientific
Release Date : 2009
Constructive Modeling Of Structural Turbulence And Hydrodynamic Instabilities written by Oleg Mikha?lovich Belot?serkovski? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
The book provides an original approach in the research of structural analysis of free developed shear compressible turbulence at high Reynolds number on the base of direct numerical simulation (DNS) and instability evolution for ideal medium (integral conservation laws) with approximate mechanism of dissipation (FLUX dissipative monotone ?upwind? difference schemes) and does not use any explicit sub-grid approximation and semi-empirical models of turbulence. Convective mixing is considered as a principal part of conservation law.Appropriate hydrodynamic instabilities (free developed shear turbulence) are investigated from unique point of view. It is based on the concept of large ordered structures with stochastic core of small scale developed turbulence (?turbulent spot?). Decay of ?turbulent spot? are simulated by Monte Carlo method. Proposed approach is based on two hypotheses: statistical independence of the characteristic of large ordered structures (LOS) and small-scale turbulence (ST) ?and? weak influence of molecular viscosity (or more generally, dissipative mechanism) on properties of large ordered structures.Two versions of instabilities, due to Rayleigh-Taylor and Richtmyer-Meshkov are studied detail by the three-dimensional calculations, extended to the large temporal intervals, up to turbulent stage and investigation turbulent mixing zone (TMZ).The book covers both the fundamental and practical aspects of turbulence and instability and summarizes the result of numerical experiments conducted over 30 years period with direct participation of the author.In the book are cited the opinions of the leading scientists in this area of research: Acad. A S Monin (Russia), Prof. Y Nakamura (Japan, Nagoya University) and Prof. F Harlow (USA, Los-Alamos).
Parallel Computational Fluid Dynamics 2003
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Author : Boris Chetverushkin
language : en
Publisher: Elsevier
Release Date : 2004-05-06
Parallel Computational Fluid Dynamics 2003 written by Boris Chetverushkin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-06 with Mathematics categories.
The book is devoted to using of parallel multiprocessor computer systems for numerical simulation of the problems which can be described by the equations of continuum mechanics. Parallel algorithms and software, the problems of meta-computing are discussed in details, some results of high performance simulation of modern gas dynamic problems, combustion phenomena, plasma physics etc are presented.·Parallel Algorithms for Multidisciplinary Studies
Modern Solution Methods For Nonlinear Multidimensional Problems
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Author : O.M. Belotserkovskii
language : en
Publisher:
Release Date : 2000
Modern Solution Methods For Nonlinear Multidimensional Problems written by O.M. Belotserkovskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Preparing the English translation the author has completely revised the Russian edition of 1994. The new versions and generalizations of computational algorithms which were intensively developed by the method of splitting with respect to physical processes are described.
Iterative Methods For Solving Nonlinear Equations And Systems
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Author : Juan R. Torregrosa
language : en
Publisher: MDPI
Release Date : 2019-12-06
Iterative Methods For Solving Nonlinear Equations And Systems written by Juan R. Torregrosa and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.
Lie And Non Lie Symmetries Theory And Applications For Solving Nonlinear Models
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Author : Roman M. Cherniha
language : en
Publisher: MDPI
Release Date : 2018-07-06
Lie And Non Lie Symmetries Theory And Applications For Solving Nonlinear Models written by Roman M. Cherniha and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Mathematics categories.
This book is a printed edition of the Special Issue "Lie Theory and Its Applications" that was published in Symmetry
Turbulence And Instabilities
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Author : Oleg Mikhaĭlovich Belot︠s︡erkovskiĭ
language : en
Publisher:
Release Date : 2000
Turbulence And Instabilities written by Oleg Mikhaĭlovich Belot︠s︡erkovskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
Monograph presents the newest results in the numerical modeling and computer simulation of turbulence.
Finite Difference Computing With Pdes
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Author : Hans Petter Langtangen
language : en
Publisher: Springer
Release Date : 2017-06-21
Finite Difference Computing With Pdes written by Hans Petter Langtangen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-21 with Computers categories.
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
Integral Geometry Radon Transforms And Complex Analysis
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Author : Carlos A. Berenstein
language : en
Publisher: Springer
Release Date : 2006-11-14
Integral Geometry Radon Transforms And Complex Analysis written by Carlos A. Berenstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.
Advances In Intelligent Systems And Computing Iv
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Author : Natalya Shakhovska
language : en
Publisher: Springer Nature
Release Date : 2019-11-01
Advances In Intelligent Systems And Computing Iv written by Natalya Shakhovska and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Technology & Engineering categories.
This book reports on new theories and applications in the field of intelligent systems and computing. It covers computational and artificial intelligence methods, as well as advances in computer vision, current issues in big data and cloud computing, computation linguistics, and cyber-physical systems. It also reports on important topics in intelligent information management. Written by active researchers, the respective chapters are based on selected papers presented at the XIV International Scientific and Technical Conference on Computer Science and Information Technologies (CSIT 2019), held on September 17–20, 2019, in Lviv, Ukraine. The conference was jointly organized by the Lviv Polytechnic National University, Ukraine, the Kharkiv National University of Radio Electronics, Ukraine, and the Technical University of Lodz, Poland, under patronage of Ministry of Education and Science of Ukraine. Given its breadth of coverage, the book provides academics and professionals with extensive information and a timely snapshot of the field of intelligent systems, and is sure to foster new discussions and collaborations among different groups.
Asymptotic Methods In Resonance Analytical Dynamics
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Author : Eugeniu Grebenikov
language : en
Publisher: CRC Press
Release Date : 2004-03-02
Asymptotic Methods In Resonance Analytical Dynamics written by Eugeniu Grebenikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-02 with Mathematics categories.
Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincaré. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.