Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

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Publisher : Springer Nature
ISBN 13 : 303075653X
Total Pages : 479 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems by : Vasile Marinca

Download or read book Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems written by Vasile Marinca and published by Springer Nature. This book was released on 2021-07-14 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.

Image-Based Geometric Modeling and Mesh Generation

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Publisher : Springer Science & Business Media
ISBN 13 : 940074255X
Total Pages : 302 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Image-Based Geometric Modeling and Mesh Generation by : Yongjie (Jessica) Zhang

Download or read book Image-Based Geometric Modeling and Mesh Generation written by Yongjie (Jessica) Zhang and published by Springer Science & Business Media. This book was released on 2012-07-03 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a new interdisciplinary research area, “image-based geometric modeling and mesh generation” integrates image processing, geometric modeling and mesh generation with finite element method (FEM) to solve problems in computational biomedicine, materials sciences and engineering. It is well known that FEM is currently well-developed and efficient, but mesh generation for complex geometries (e.g., the human body) still takes about 80% of the total analysis time and is the major obstacle to reduce the total computation time. It is mainly because none of the traditional approaches is sufficient to effectively construct finite element meshes for arbitrarily complicated domains, and generally a great deal of manual interaction is involved in mesh generation. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications.

Science in China

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Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.8/5 (15 download)

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Book Synopsis Science in China by :

Download or read book Science in China written by and published by . This book was released on 2006 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

2001 International Conference on Modeling and Simulation of Microsystems

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Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis 2001 International Conference on Modeling and Simulation of Microsystems by : Matthew Laudon

Download or read book 2001 International Conference on Modeling and Simulation of Microsystems written by Matthew Laudon and published by . This book was released on 2001 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The worlds most comprehensive and up-to-date collection of Multidisciplinary Micro and Nano technical papers. Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems. Micro and Nano Fluidic Systems, MEMS, System Optimization, MEMS Applications and Characterization, Advanced Numerics, Process Modeling, Quantum Effects, Quantum Devices, Spintronics, Atomistic of Silicon Processing, Advanced Semiconductors, Circuit Modeling, Compact Modeling. Papers taken from the 2001 MSM, Hilton Head Island, USA, March. 2001.

Electrical & Electronics Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1860 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Electrical & Electronics Abstracts by :

Download or read book Electrical & Electronics Abstracts written by and published by . This book was released on 1997 with total page 1860 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Analysis of Composite Materials using AbaqusTM

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Publisher : CRC Press
ISBN 13 : 1466516631
Total Pages : 445 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Finite Element Analysis of Composite Materials using AbaqusTM by : Ever J. Barbero

Download or read book Finite Element Analysis of Composite Materials using AbaqusTM written by Ever J. Barbero and published by CRC Press. This book was released on 2013-04-18 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's graduate-level course on advanced mechanics of composite materials, Finite Element Analysis of Composite Materials with Abaqus shows how powerful finite element tools address practical problems in the structural analysis of composites. Unlike other texts, this one takes the theory to a hands-on level by actually solving

I do like CFD, VOL.1, Second Edition

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Publisher : Lulu.com
ISBN 13 : 1304827933
Total Pages : 306 pages
Book Rating : 4.3/5 (48 download)

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Book Synopsis I do like CFD, VOL.1, Second Edition by : Katate Masatsuka

Download or read book I do like CFD, VOL.1, Second Edition written by Katate Masatsuka and published by Lulu.com. This book was released on 2009-02-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Version 2.9 (May. 2024): This is a unique and highly technical book on Computational Fluid Dynamics (CFD). The first half talks about mathematical foundations and governing equations ranging from simple model equations (advection/diffusion, Euler-Tricomi, Cauchy-Riemann, Burgers, etc.) used for algorithm development to the incompressible/compressible Euler and Navier-Stokes equations in various forms with complete Jacobians and eigen-structures in 1, 2, and 3 dimensions. The other half talks about general methods for deriving exact solutions (separation of variables, transformation, superposition, etc.) and numerous exact solutions that can be readily used for accuracy verification of a CFD code (Ringleb's flow, Fraenkel's flow, boundary layer, viscous shock structure, etc.). This book can be a very useful resource for students studying basics of CFD as well as researchers/practitioners in CFD. - PDF version is available at cfdbooks.com. [Note: PDF does not contain some contents of the Printed version.]

The Finite Volume Method in Computational Fluid Dynamics

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Publisher : Springer
ISBN 13 : 3319168746
Total Pages : 799 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Finite Volume Method in Computational Fluid Dynamics by : F. Moukalled

Download or read book The Finite Volume Method in Computational Fluid Dynamics written by F. Moukalled and published by Springer. This book was released on 2015-08-13 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

Computational Contact Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 252 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Computational Contact Mechanics by : Peter Wriggers

Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Solving Nonlinear Equations with Newton's Method

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Publisher : SIAM
ISBN 13 : 9780898718898
Total Pages : 117 pages
Book Rating : 4.7/5 (188 download)

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Book Synopsis Solving Nonlinear Equations with Newton's Method by : C. T. Kelley

Download or read book Solving Nonlinear Equations with Newton's Method written by C. T. Kelley and published by SIAM. This book was released on 2003-01-01 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. It contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages.

The Nature of Mathematical Modeling

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Publisher : Cambridge University Press
ISBN 13 : 9780521570954
Total Pages : 268 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis The Nature of Mathematical Modeling by : Neil A. Gershenfeld

Download or read book The Nature of Mathematical Modeling written by Neil A. Gershenfeld and published by Cambridge University Press. This book was released on 1999 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.

Semiconductor Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3709169615
Total Pages : 261 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Semiconductor Equations by : Peter A. Markowich

Download or read book Semiconductor Equations written by Peter A. Markowich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.

Multiscale Problems: Theory, Numerical Approximation And Applications

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Publisher : World Scientific
ISBN 13 : 9814458120
Total Pages : 314 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Multiscale Problems: Theory, Numerical Approximation And Applications by : Alain Damlamian

Download or read book Multiscale Problems: Theory, Numerical Approximation And Applications written by Alain Damlamian and published by World Scientific. This book was released on 2011-10-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

Computational Fluid Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139493299
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Computational Fluid Dynamics by : T. J. Chung

Download or read book Computational Fluid Dynamics written by T. J. Chung and published by Cambridge University Press. This book was released on 2010-09-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Computational Fluid Dynamics represents a significant improvement from the first edition. However, the original idea of including all computational fluid dynamics methods (FDM, FEM, FVM); all mesh generation schemes; and physical applications to turbulence, combustion, acoustics, radiative heat transfer, multiphase flow, electromagnetic flow, and general relativity is still maintained. The second edition includes a new section on preconditioning for EBE-GMRES and a complete revision of the section on flowfield-dependent variation methods, which demonstrates more detailed computational processes and includes additional example problems. For those instructors desiring a textbook that contains homework assignments, a variety of problems for FDM, FEM and FVM are included in an appendix. To facilitate students and practitioners intending to develop a large-scale computer code, an example of FORTRAN code capable of solving compressible, incompressible, viscous, inviscid, 1D, 2D and 3D for all speed regimes using the flowfield-dependent variation method is made available.

Computational Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521567381
Total Pages : 558 pages
Book Rating : 4.5/5 (673 download)

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Book Synopsis Computational Differential Equations by : Kenneth Eriksson

Download or read book Computational Differential Equations written by Kenneth Eriksson and published by Cambridge University Press. This book was released on 1996-09-05 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.

An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

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Publisher : Cambridge University Press
ISBN 13 : 1108492436
Total Pages : 677 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis An Introduction to Reservoir Simulation Using MATLAB/GNU Octave by : Knut-Andreas Lie

Download or read book An Introduction to Reservoir Simulation Using MATLAB/GNU Octave written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2019-08-08 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.