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 #  AuthorTitleAccn#YearItem Type Claims
1 Liseikin, Vladimir D Grid Generation Methods I10185 2017 eBook  
2 Liseikin, Vladimir D A Computational Differential Geometry Approach to Grid Generation I11320 2004 eBook  
3 Liseikin, Vladimir D A Computational Differential Geometry Approach to Grid Generation I08014 2007 eBook  
4 Liseikin, Vladimir D Grid Generation Methods I06127 2010 eBook  
5 Liseikin, Vladimir D Grid Generation Methods I03698 1999 eBook  
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1.    
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TitleGrid Generation Methods
Author(s)Liseikin, Vladimir D
PublicationCham, Springer International Publishing, 2017.
DescriptionXX, 530 p. 151 illus., 14 illus. in color : online resource
Abstract NoteThis new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems. Grid generation methods are indispensable for the numerical solution of differential equations. Adaptive grid-mapping techniques, in particular, are the main focus and represent a promising tool to deal with systems with singularities. This 3rd edition includes three new chapters on numerical implementations (10), control of grid properties (11), and applications to mechanical, fluid, and plasma related problems (13). Also the other chapters have been updated including new topics, such as curvatures of discrete surfaces (3). Concise descriptions of hybrid mesh generation, drag and sweeping methods, parallel algorithms for mesh generation have been included too. This new edition addresses a broad range of readers: students, researchers, and practitioners in applied mathematics, mechanics, engineering, physics and other areas of applications
ISBN,Price9783319578460
Keyword(s)1. APPLIED MATHEMATICS 2. Computational Science and Engineering 3. Computer mathematics 4. Computer science???Mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematics of Computing 10. Numerical and Computational Physics, Simulation 11. PHYSICS
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I10185     On Shelf    

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TitleA Computational Differential Geometry Approach to Grid Generation
Author(s)Liseikin, Vladimir D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXIV, 264 p : online resource
Abstract NoteGrid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics. New achievements are being added by the creation of more sophisticated techniques, modification of the available methods, and implementation of more subtle tools as well as the results of the theories of differential equations, calculas of variations, and Riemannian geometry being applied to the formulation of grid models and analysis of grid properties. The development of comprehensive differential and variational grid gen?? eration techniques reviewed in the monographs of J. F. Thompson, Z. U. A. Warsi, C. W. Mastin, P. Knupp, S. Steinberg, V. D. Liseikin has been largely based on a popular concept in accordance with which a grid model realizing the required grid properties should be formulated through a linear combina?? tion of basic and control grid operators with weights. A typical basic grid operator is the operator responsible for the well-posedness of the grid model and construction of unfolding grids, e. g. the Laplace equations (generalized Laplace equations for surfaces) or the functional of grid smoothness which produces fixed nonfolding grids while grid clustering is controlled by source terms in differential grid formulations or by an adaptation functional in vari?? ational models. However, such a formulation does not obey the fundamental invariance laws with respect to parameterizations of physical geometries. It frequently results in cumbersome governing grid equations whose choice of weight and control functions provide conflicting grid requirements
ISBN,Price9783662054154
Keyword(s)1. Classical and Continuum Physics 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Continuum physics 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Methods in Physics 9. Numerical and Computational Physics, Simulation 10. PHYSICS
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3.     
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TitleA Computational Differential Geometry Approach to Grid Generation
Author(s)Liseikin, Vladimir D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2007.
DescriptionXIV, 294 p. 81 illus., 3 illus. in color : online resource
Abstract NoteThe process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by: Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the generation of adaptive, field-aligned, and balanced grids, to the solutions of CFD and magnetized plasmas problems. The book addresses both scientists and practitioners in applied mathematics and numerical solution of field problems
ISBN,Price9783540342366
Keyword(s)1. Classical and Continuum Physics 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Computer science???Mathematics 5. Continuum physics 6. DIFFERENTIAL GEOMETRY 7. EBOOK 8. EBOOK - SPRINGER 9. Math Applications in Computer Science 10. Mathematical Methods in Physics 11. Numerical and Computational Physics, Simulation 12. PHYSICS
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I08014     On Shelf    

4.     
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TitleGrid Generation Methods
Author(s)Liseikin, Vladimir D
PublicationDordrecht, Springer Netherlands, 2010.
DescriptionXVIII, 390 p. 48 illus : online resource
Abstract NoteThis book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami???s partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods
ISBN,Price9789048129126
Keyword(s)1. APPLIED MATHEMATICS 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Computer science???Mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. MATHEMATICAL PHYSICS 10. Mathematics of Computing 11. Theoretical, Mathematical and Computational Physics
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I06127     On Shelf    

5.    
No image available
TitleGrid Generation Methods
Author(s)Liseikin, Vladimir D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1999.
DescriptionXVI, 363 p. 1 illus : online resource
Abstract NoteThis book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami???s partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods
ISBN,Price9783662039496
Keyword(s)1. APPLIED MATHEMATICS 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Computer science???Mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. MATHEMATICAL PHYSICS 10. Mathematics of Computing 11. Theoretical, Mathematical and Computational Physics
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I03698     On Shelf    

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