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Multigrid Solution Of The Debye Huckel Equation
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Book Synopsis Multigrid Solution of the Debye-Hückel Equation by : Benjamin Quanah Parker
Download or read book Multigrid Solution of the Debye-Hückel Equation written by Benjamin Quanah Parker and published by . This book was released on 2013 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Multigrid algorithms are fast solvers for elliptic partial differential equations. In this thesis, we apply multigrid methods to the model of protein charge-regulation of Hollenbeck, et al. The model of protein charge-regulation requires computing work of charging matrices for two low dielectric spheres in a salt solution, which in turn requires many solutions of the linearized Poisson-Boltzmann equation, or the Debye-Hückel equation. We use multigrid methods to reduce the run time of computing solutions to the Debye-Hückel equation, and compare the results of some simple and more complicated examples. Using the work of Brandt and others, we also construct an interpolation scheme that takes the potentially complicated behavior of the coefficient into account."--Abstract.
Book Synopsis Multigrid Solution of the Poisson-Boltzmann Equation by : Michael Holst
Download or read book Multigrid Solution of the Poisson-Boltzmann Equation written by Michael Holst and published by . This book was released on 1992 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A multigrid method is presented for the numerical solution of the linearized Poisson-Boltzmann equation arising in molecular biophysics. The equation is discretized with the finite volume method, and the numerical solution of the discrete equations is accomplished with multiple grid techniques originally developed for two-dimensional interface problems occurring in reactor physics. A detailed analysis of the resulting method is presented for several computer architectures, including comparisons to diagonally scaled CG, ICCG, vectorized ICCG and MICCG, and to SOR provided with an optimal relaxation parameter. Our results indicate that the multigrid method is superior to the preconditioned CG methods and SOR, and that the advantage of multigrid grows with the problem size."
Book Synopsis Encyclopedia of Microfluidics and Nanofluidics by : Dongqing Li
Download or read book Encyclopedia of Microfluidics and Nanofluidics written by Dongqing Li and published by Springer Science & Business Media. This book was released on 2008-08-06 with total page 2242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering all aspects of transport phenomena on the nano- and micro-scale, this encyclopedia features over 750 entries in three alphabetically-arranged volumes including the most up-to-date research, insights, and applied techniques across all areas. Coverage includes electrical double-layers, optofluidics, DNC lab-on-a-chip, nanosensors, and more.
Book Synopsis Multigrid Method for the Equilibrium Equations of Elasticity Using a Compact Scheme by :
Download or read book Multigrid Method for the Equilibrium Equations of Elasticity Using a Compact Scheme written by and published by . This book was released on 1986 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multigrid Solution of the Complex Helmholtz Equation by : Kenneth Brackenridge
Download or read book Multigrid Solution of the Complex Helmholtz Equation written by Kenneth Brackenridge and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Multigrid Solution of a System of Nonlinear Differential Equations by : Emanuel Reyzer
Download or read book Parallel Multigrid Solution of a System of Nonlinear Differential Equations written by Emanuel Reyzer and published by . This book was released on 1997 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Gāuṃ pañcāyata kārya vyavasthā niyamāvalī 2020 by :
Download or read book Gāuṃ pañcāyata kārya vyavasthā niyamāvalī 2020 written by and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Experiences with a multiblock multigrid solution technique for the Euler equations on several parallel computers by :
Download or read book Experiences with a multiblock multigrid solution technique for the Euler equations on several parallel computers written by and published by . This book was released on 1994 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel multigrid solution of the navier stokes equations on general 2D-domains by : Johannes Linden
Download or read book Parallel multigrid solution of the navier stokes equations on general 2D-domains written by Johannes Linden and published by . This book was released on 1988 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Approaches to Biochemical Reactivity by : Gábor Náray-Szabó
Download or read book Computational Approaches to Biochemical Reactivity written by Gábor Náray-Szabó and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: A quantitative description of the action of enzymes and other biological systems is both a challenge and a fundamental requirement for further progress in our und- standing of biochemical processes. This can help in practical design of new drugs and in the development of artificial enzymes as well as in fundamental understanding of the factors that control the activity of biological systems. Structural and biochemical st- ies have yielded major insights about the action of biological molecules and the mechanism of enzymatic reactions. However it is not entirely clear how to use this - portant information in a consistent and quantitative analysis of the factors that are - sponsible for rate acceleration in enzyme active sites. The problem is associated with the fact that reaction rates are determined by energetics (i. e. activation energies) and the available experimental methods by themselves cannot provide a correlation - tween structure and energy. Even mutations of specific active site residues, which are extremely useful, cannot tell us about the totality of the interaction between the active site and the substrate. In fact, short of inventing experiments that allow one to measure the forces in enzyme active sites it is hard to see how can one use a direct experimental approach to unambiguously correlate the structure and function of enzymes. In fact, in view of the complexity of biological systems it seems that only computers can handle the task of providing a quantitative structure-function correlation.
Book Synopsis Surfaces of Nanoparticles and Porous Materials by : James A. Schwarz
Download or read book Surfaces of Nanoparticles and Porous Materials written by James A. Schwarz and published by CRC Press. This book was released on 1999-01-21 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative reference collects state-of-the-art procedures for the construction and design of nanoparticles and porous material while suggesting appropriate areas of application. Presenting both synthesis and characterization protocols, Surfaces of Nanoparticles and Porous Materials contains over 3000 references, tables, equations, drawings, and photographs. It examines the thermodynamics and kinetics of adsorption involving organic and inorganic liquids, solids, and gaseous media.. Topics include characterization, transport processes, diffusion, and the adsorption of heavy metals, ions, proteins, and pharmaceutical organics.
Book Synopsis Reviews in Computational Chemistry, Volume 19 by : Kenny B. Lipkowitz
Download or read book Reviews in Computational Chemistry, Volume 19 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2003-10-21 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Auch Band 19 dieser seit Jahren bewährten und erfolgreichen Reihe führt Neueinsteiger in moderne Forschungsgebiete der Computerchemie ein und hilft Fachleuten, auf dem Laufenden zu bleiben. - international renommierte Fachleute diskutieren Themen aus den Bereichen Molecular modeling, Quantenchemie, computergestütztes Moleküldesign (CAMD), Molekülmechanik und -dynamik sowie QSAR (Quantitative Struktur-Reaktivitäts-Beziehungen) - ausführliche Autoren- und Sachregister erleichtern die Orientierung - Beiträge sind allgemein verständlich geschrieben und enthalten nur das notwendige Minimum an mathematischen Formalismen; dadurch ist die Reihe auch geeignet für Leser, die sich nicht hauptsächlich mit den genannten Fachgebieten beschäftigen
Book Synopsis Colloquium on Differential and Difference Equations by : Miroslav Bartušek
Download or read book Colloquium on Differential and Difference Equations written by Miroslav Bartušek and published by . This book was released on 2003 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Molecular Biophysics Technical Report by :
Download or read book Molecular Biophysics Technical Report written by and published by . This book was released on 1993 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reviews in Computational Chemistry, Volume 26 by : Kenny B. Lipkowitz
Download or read book Reviews in Computational Chemistry, Volume 26 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2008-11-19 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational chemistry is increasingly used in conjunction with organic, inorganic, medicinal, biological, physical, and analytical chemistry, biotechnology, materials science, and chemical physics. This series is essential in keeping those individuals involved in these fields abreast of recent developments in computational chemistry.
Book Synopsis Reduced Basis Methods for Partial Differential Equations by : Alfio Quarteroni
Download or read book Reduced Basis Methods for Partial Differential Equations written by Alfio Quarteroni and published by Springer. This book was released on 2015-08-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. All these pseudocodes are in fact implemented in a MATLAB package that is freely available at https://github.com/redbkit
Book Synopsis Physics of Particles and Nuclei Letters by :
Download or read book Physics of Particles and Nuclei Letters written by and published by . This book was released on 2005 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
