05147nam 22007335 450 991025463560332120251116150247.03-319-27265-910.1007/978-3-319-27265-8(CKB)3710000000627467(SSID)ssj0001656869(PQKBManifestationID)16438111(PQKBTitleCode)TC0001656869(PQKBWorkID)14988498(PQKB)11770551(DE-He213)978-3-319-27265-8(MiAaPQ)EBC6310511(MiAaPQ)EBC5594679(Au-PeEL)EBL5594679(OCoLC)945632196(PPN)192774158(EXLCZ)99371000000062746720160321d2016 u| 0engurnn|008mamaatxtccrBasic Concepts in Computational Physics /by Benjamin A. Stickler, Ewald Schachinger2nd ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XVI, 409 p. 95 illus.) Includes Index.3-319-27263-2 Some Basic Remarks -- Part I Deterministic Methods -- Numerical Differentiation -- Numerical Integration -- The KEPLER Problem -- Ordinary Differential Equations – Initial Value Problems -- The Double Pendulum -- Molecular Dynamics -- Numerics of Ordinary Differential Equations - Boundary Value Problems -- The One-Dimensional Stationary Heat Equation -- The One-Dimensional Stationary SCHRÖDINGER Equation -- Partial Differential Equations -- Part II Stochastic Methods -- Pseudo Random Number Generators -- Random Sampling Methods -- A Brief Introduction to Monte-Carlo Methods -- The ISING Model -- Some Basics of Stochastic Processes -- The Random Walk and Diffusion Theory -- MARKOV-Chain Monte Carlo and the POTTS Model -- Data Analysis -- Stochastic Optimization -- Appendix: The Two-Body Problem -- Solving Non-Linear Equations. The NEWTON Method -- Numerical Solution of Systems of Equations -- Fast Fourier Transform -- Basics of Probability Theory -- Phase Transitions -- Fractional Integrals and Derivatives in 1D -- Least Squares Fit -- Deterministic Optimization.This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes. The book is divided into two main parts: Deterministic methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial differential equations. The second part deals with the generation of random numbers, summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic optimization. All this is again motivated and augmented by applications from physics. In addition, the book offers a number of appendices to provide the reader with information on topics not discussed in the main text. Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear and application-oriented style support the reader. Ready to use C++ codes are provided online.PhysicsApplied mathematicsEngineering mathematicsComputer scienceMathematicsChemistry, Physical and theoreticalNumerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XTheoretical and Computational Chemistryhttps://scigraph.springernature.com/ontologies/product-market-codes/C25007Physics.Applied mathematics.Engineering mathematics.Computer scienceMathematics.Chemistry, Physical and theoretical.Numerical and Computational Physics, Simulation.Mathematical and Computational Engineering.Computational Mathematics and Numerical Analysis.Theoretical and Computational Chemistry.530.1Stickler Benjamin A.authttp://id.loc.gov/vocabulary/relators/aut791786Schachinger Ewaldauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254635603321Basic Concepts in Computational Physics2527079UNINA05448nam 22007214a 450 991102008830332120251116150652.09786610519972978128051997012805199759783527603701352760370097835276047393527604731(CKB)1000000000328769(EBL)482384(OCoLC)68666267(SSID)ssj0000211943(PQKBManifestationID)11201946(PQKBTitleCode)TC0000211943(PQKBWorkID)10136317(PQKB)11453808(MiAaPQ)EBC482384(Perlego)2772355(EXLCZ)99100000000032876920040720d2004 uy 0engur|n|---|||||txtccrNonlinear physics of DNA /Ludmila V. Yakushevich2nd, rev. ed.Weinheim Wiley-VCHc20041 online resource (208 p.)Description based upon print version of record.9783527404179 3527404171 Includes bibliographical references (p. [175]-187) and index.Nonlinear Physics of DNA; Contents; Preface to the First Edition; Preface to the Second Edition; Dedication; 1 DNA Structure; 1.1 Chemical Composition and Primary Structure; 1.2 Spatial Geometry and Secondary Structure; 1.3 Forces Stabilizing the Secondary DNA Structure; 1.3.1 Hydrogen Interactions; 1.3.2 Stacking Interactions; 1.3.3 Long-range Intra- and Inter-backbone Forces; 1.3.4 Electrostatic Field of DNA; 1.4 Polymorphism; 1.5 Tertiary Structure; 1.5.1 Superhelicity; 1.5.2 Structural Organization in Cells; 1.6 Approximate Models of DNA Structure; 1.6.1 General Comments1.6.2 Hierarchy of Structural Models1.7 Experimental Methods of Studying DNA Structure; 2 DNA Dynamics; 2.1 General Picture of the DNA Internal Mobility; 2.2 Twisting and Bending Motions; 2.3 Dynamics of the Bases; 2.3.1 Equilibrium State; 2.3.2 Possible Motions of the Bases; 2.4 Dynamics of the Sugar-Phosphate Backbone; 2.4.1 Equilibrium State; 2.4.2 Possible Motions of the Sugar-Phosphate Backbone; 2.5 Conformational Transitions; 2.5.1 B-->A Transition; 2.5.2 B-->Z Transition; 2.6 Motions Associated with Local Strands Separation; 2.6.1 Base-pair Opening Due to Rotations of Bases2.6.2 Transverse Displacements in Strands2.7 Approximate Models of DNA Dynamics; 2.7.1 The Main Principles of Modeling; 2.7.2 Hierarchy of Dynamical Models; 2.8 Experimental Methods for Studying DNA Dynamics; 2.8.1 Raman Scattering; 2.8.2 Neutron Scattering; 2.8.3 Infrared Spectroscopy; 2.8.4 Hydrogen-Deuterium (-Tritium) Exchange; 2.8.5 Microwave Absorption; 2.8.6 NMR; 2.8.7 Charge-transfer Experiments; 2.8.8 Single Molecule Experiments; 3 DNA Function; 3.1 Physical Aspects of DNA Function; 3.2 Intercalation; 3.3 DNA-Protein Recognition; 3.4 Gene Expression; 3.5 Regulation of Gene Expression3.6 Replication4 Linear Theory of DNA; 4.1 The Main Mathematical Models; 4.1.1 Linear Rod-like Model; 4.1.1.1 Longitudinal and Torsional Dynamics: Discrete Case; 4.1.1.2 Longitudinal and Torsional Dynamics: Continuous Case; 4.1.1.3 Bending Motions; 4.1.2 Linear Double Rod-like Model; 4.1.2.1 Discrete Case; 4.1.2.2 Continuous Case; 4.1.3 Linear Models of Higher Levels; 4.1.3.1 The Third-Level Models; 4.1.3.2 The Fourth-level (Lattice) Models; 4.2 Statistics of Linear Excitations; 4.2.1 Phonons in the Rod-like Model; 4.2.1.1 General Solution of the Model Equations4.2.1.2 Secondary Quantum Representation4.2.1.3 Correlation Functions; 4.2.2 Phonons in the Double Rod-like Model; 4.2.2.1 General Solution of the Model Equations; 4.2.2.2 Secondary Quantum Representation; 4.2.2.3 Correlation Functions; 4.2.3 Phonons in the Higher-level Models; 4.3 Scattering Problem; 4.3.1 Scattering by 'Frozen' DNA; 4.3.2 Elastic Scattering; 4.3.3 Inelastic Scattering; 4.4 Linear Theory and Experiment; 4.4.1 Fluorescence Depolarization; 4.4.2 Low-frequency Spectra: Neutron Scattering, Infrared scattering, Raman Scattering, Speed of Sound5 Nonlinear Theory of DNA: Ideal Dynamical ModelsThe first edition of this book was the first on the physics of DNA to go beyond the simple (simplified) 'linear' approach, and it has since been found that the inclusion of nonlinear effects leads to a significantly improved interpretation of experimental data. This new edition naturally retains this approach, but has been completely revised, updated and expanded to cover recent developments.Beginning with introductory chapters on DNA structure and dynamics, the book also includes a comparison between linear and nonlinear approaches to the DNA molecule, a chapter devoted to the statistics DNAStructureDNAConformationNonlinear mechanicsBiophysicsDNAStructure.DNAConformation.Nonlinear mechanics.Biophysics.572.8/633I︠A︡kushevich L. V(Li︠u︡dmila Vladimirovna)772177MiAaPQMiAaPQMiAaPQBOOK9911020088303321Nonlinear physics of DNA1576269UNINA