close
1.

図書

図書
Jan Cnops
出版情報: Boston : Birkhäuser, c2002  x, 211 p. ; 24 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 24
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Clifford Algebras
Manifolds
Dirac Operators
Conformal Maps
Unique Continuation and the Cauchy Kernel
Boundary Values
Appendix
General Manifolds
The Additional Canterbury Tales
List of Symbols
Bibliography
Index
Introduction
Clifford Algebras
Manifolds
2.

図書

図書
Franz J. Vesely
出版情報: New York : Kluwer Academic/Plenum Publishers, c2001  xvi, 259 p. ; 26 cm
所蔵情報: loading…
目次情報: 続きを見る
The Three Pillars of Computational Physics / I:
Finite Differences / 1:
Interpolation Formulae / 1.1:
NGF Interpolation / 1.1.1:
NGB Interpolation / 1.1.2:
ST Interpolation / 1.1.3:
Difference Quotients / 1.2:
DNGF Formulae / 1.2.1:
DNGB Formulae / 1.2.2:
DST Formulae / 1.2.3:
Finite Differences in Two Dimensions / 1.3:
Sample Applications / 1.4:
Classical Point Mechanics / 1.4.1:
Diffusion and Thermal Conduction / 1.4.2:
Linear Algebra / 2:
Exact Methods / 2.1:
Gauss Elimination and Back Substitution / 2.1.1:
Simplifying Matrices: The Householder Transformation / 2.1.2:
LU Decomposition / 2.1.3:
Tridiagonal Matrices: Recursion Method / 2.1.4:
Iterative Methods / 2.2:
Jacobi Relaxation / 2.2.1:
Gauss-Seidel Relaxation (GSR) / 2.2.2:
Successive Over-Relaxation (SOR) / 2.2.3:
Alternating Direction Implicit Method (ADI) / 2.2.4:
Conjugate Gradient Method (CG) / 2.2.5:
Eigenvalues and Eigenvectors / 2.3:
Largest Eigenvalue and Related Eigenvector / 2.3.1:
Arbitrary Eigenvalue/-vector: Inverse Iteration / 2.3.2:
Potential Equation / 2.4:
Electronic Orbitals / 2.4.3:
Stochastics / 3:
Equidistributed Random Variates / 3.1:
Linear Congruential Generators / 3.1.1:
Shift Register Generators / 3.1.2:
Other Distributions / 3.2:
Fundamentals / 3.2.1:
Transformation Method / 3.2.2:
Generalized Transformation Method / 3.2.3:
Rejection Method / 3.2.4:
Multivariate Gaussian Distribution / 3.2.5:
Equidistribution in Orientation Space / 3.2.6:
Random Sequences / 3.3:
Markov Processes / 3.3.1:
Autoregressive Processes / 3.3.3:
Wiener-Levy Process / 3.3.4:
Markov Chains and the Monte Carlo method / 3.3.5:
Stochastic Optimization / 3.4:
Simulated Annealing / 3.4.1:
Genetic Algorithms / 3.4.2:
Everything Flows / II:
Ordinary Differential Equations / 4:
Initial Value Problems of First Order / 4.1:
Euler-Cauchy Algorithm / 4.1.1:
Stability and Accuracy of Difference Schemes / 4.1.2:
Explicit Methods / 4.1.3:
Implicit Methods / 4.1.4:
Predictor-Corrector Method / 4.1.5:
Runge-Kutta Method / 4.1.6:
Extrapolation Method / 4.1.7:
Initial Value Problems of Second Order / 4.2:
Verlet Method / 4.2.1:
Nordsieck Formulation of the PC Method / 4.2.2:
Symplectic Algorithms / 4.2.4:
Numerov's Method / 4.2.6:
Boundary Value Problems / 4.3:
Shooting Method / 4.3.1:
Relaxation Method / 4.3.2:
Partial Differential Equations / 5:
Initial Value Problems I (Hyperbolic) / 5.1:
FTCS Scheme; Stability Analysis / 5.1.1:
Lax Scheme / 5.1.2:
Leapfrog Scheme (LF) / 5.1.3:
Lax-Wendroff Scheme (LW) / 5.1.4:
Lax and Lax-Wendroff in Two Dimensions / 5.1.5:
Initial Value Problems II (Parabolic) / 5.2:
FTCS Scheme / 5.2.1:
Implicit Scheme of First Order / 5.2.2:
Crank-Nicholson Scheme (CN) / 5.2.3:
Dufort-Frankel Scheme (DF) / 5.2.4:
Boundary Value Problems: Elliptic DE / 5.3:
Relaxation and Multigrid Techniques / 5.3.1:
ADI Method for the Potential Equation / 5.3.2:
Fourier Transform Method (FT) / 5.3.3:
Cyclic Reduction (CR) / 5.3.4:
Anchors Aweigh / III:
Simulation and Statistical Mechanics / 6:
Model Systems of Statistical Mechanics / 6.1:
A Nutshellfull of Fluids and Solids / 6.1.1:
Tricks of the Trade / 6.1.2:
Monte Carlo Method / 6.2:
Molecular Dynamics Simulation / 6.3:
Hard Spheres / 6.3.1:
Continuous Potentials / 6.3.2:
Beyond Basic Molecular Dynamics / 6.3.3:
Evaluation of Simulation Experiments / 6.4:
Pair Correlation Function / 6.4.1:
Autocorrelation Functions / 6.4.2:
Particles and Fields / 6.5:
Ewald summation / 6.5.1:
Particle-Mesh Methods (PM and P3M) / 6.5.2:
Stochastic Dynamics / 6.6:
Quantum Mechanical Simulation / 7:
Diffusion Monte Carlo (DMC) / 7.1:
Path Integral Monte Carlo (PIMC) / 7.2:
Wave Packet Dynamics (WPD) / 7.3:
Density Functional Molecular Dynamics (DFMD) / 7.4:
Hydrodynamics / 8:
Compressible Flow without Viscosity / 8.1:
Explicit Eulerian Methods / 8.1.1:
Particle-in-Cell Method (PIC) / 8.1.2:
Smoothed Particle Hydrodynamics (SPH) / 8.1.3:
Incompressible Flow with Viscosity / 8.2:
Vorticity Method / 8.2.1:
Pressure Method / 8.2.2:
Free Surfaces: Marker-and-Cell Method (MAC) / 8.2.3:
Lattice Gas Models for Hydrodynamics / 8.3:
Lattice Gas Cellular Automata / 8.3.1:
The Lattice Boltzmann Method / 8.3.2:
Direct Simulation Monte Carlo / Bird method / 8.4:
Appendixes
Machine Errors / A:
Discrete Fourier Transformation / B:
Fast Fourier Transform (FFT) / B.1:
Bibliography
Index
The Three Pillars of Computational Physics / I:
Finite Differences / 1:
Interpolation Formulae / 1.1:
3.

図書

図書
Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily
出版情報: Singapore : World Scientific, c2011  xi, 392 p. ; 24 cm
所蔵情報: loading…
4.

図書

図書
James J. Callahan
出版情報: New York : Springer, c2000  xvi, 451 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
Arbitrary frames
Surfaces and curvatures
Intrinsic geometry
General relativity
Consequences
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
5.

図書

図書
Ioannis P. Stavroulakis, Stepan A. Tersian
出版情報: Singapore ; River Edge, N.J. : World Scientific, c1999  x, 297 p. ; 23 cm
所蔵情報: loading…
目次情報: 続きを見る
First-order Partial Differential Equations / 1.:
Introduction
Linear First-order Equations / 2.:
The Cauchy Problem for First-order Quasi-linear Equations / 3.:
General Solutions of Quasi-linear Equations / 4.:
Fully-nonlinear First-order Equations / 5.:
Second-order Partial Differential Equations
Linear equations / 6.:
Classification and Canonical Forms of Equations in Two Independent Variables / 7.:
Classification of Almost-linear Equations in R[superscript n] / 8.:
One-Dimensional Wave Equation
The Wave Equation on the Whole Line. D'Alembert Formula / 9.:
The Wave Equation on the Half-line. Reflection Method / 10.:
Mixed Problem for the Wave Equation / 11.:
Inhomogeneous Wave Equation / 12.:
Conservation of the Energy / 13.:
Weak Derivatives and Weak Solutions / 14.:
One-Dimensional Diffusion Equation
Maximum-minimum Principle for the Diffusion Equation / 15.:
The Diffusion Equation on the Whole Line / 16.:
Diffusion on the Half-line / 17.:
Inhomogeneous Diffusion Equation on the Whole Line / 18.:
Shock Waves and Conservation Laws
Conservation laws / 19.:
Burgers' Equation / 20.:
Weak Solutions. Riemann Problem / 21.:
Discontinuous Solutions of Conservation Laws. Rankine-Hugoniot Condition / 22.:
The Laplace Equation
Harmonic functions. Maximum-minimum Principle / 23.:
Green's Identities / 24.:
Green's Functions / 25.:
Green's Functions for a Half-space and Sphere / 26.:
Harnack's Inequalities and Theorems / 27.:
Fourier Series and Fourier Method for PDEs
Fourier Series / 28.:
Orthonormal Systems. General Fourier series / 29.:
Fourier Method for the Diffusion Equation / 30.:
Fourier Method for the Wave Equation / 31.:
Fourier Method for the Laplace Equation / 32.:
Diffusion and Wave Equations in Higher Dimensions
Diffusion Equation in Three Dimensional Space / 33.:
Fourier Method for the Diffusion Equation in Higher Dimensions / 34.:
Kirchoff's Formula for the Wave Equation. Huygens' Principle / 35.:
Fourier Method for the Wave Equation on the Plane. Nodal Sets / 36.:
References
Answers and Hints to Selected Exercises
Index
First-order Partial Differential Equations / 1.:
Introduction
Linear First-order Equations / 2.:
6.

図書

図書
Claude Kipnis, Claudio Landim
出版情報: Berlin : Springer-Verlag, c1999  xvi, 442 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 320
所蔵情報: loading…
7.

図書

図書
Sergey N. Dorogovtsev
出版情報: Oxford ; New York : Oxford University Press, 2010  ix, 134 p. ; 25 cm
シリーズ名: Oxford master series in physics ; 20
Oxford master series in statistical, computational, and theoretical physics
所蔵情報: loading…
目次情報: 続きを見る
First steps towards networks / 1:
Euler's graph / 1.1:
Examples of graphs / 1.2:
Shortest path length / 1.3:
Lattices and fractals / 1.4:
Milgram's experiment / 1.5:
Directed networks / 1.6:
What are random networks? / 1.7:
Degree distribution / 1.8:
Clustering / 1.9:
Adjacency matrix / 1.10:
Classical random graphs / 2:
Two classical models / 2.1:
Loops in classical random graphs / 2.2:
Diameter of classical random graphs / 2.3:
The birth of a giant component / 2.4:
Finite components / 2.5:
Small and large worlds / 3:
The world of Paul Erdos / 3.1:
Diameter of the Web / 3.2:
Small-world networks / 3.3:
Equilibrium versus growing trees / 3.4:
Giant connected component at birth is fractal / 3.5:
Dimensionality of a brush / 3.6:
From the Internet to cellular nets / 4:
Levels of the Internet / 4.1:
The WWW / 4.2:
Cellular networks / 4.3:
Co-occurrence networks / 4.4:
Uncorrelated networks / 5:
The configuration model / 5.1:
Hidden variables / 5.2:
Neighbour degree distribution / 5.3:
Loops in uncorrelated networks / 5.4:
Statistics of shortest paths / 5.5:
Uncorrelated bipartite networks / 5.6:
Percolation and epidemics / 6:
Connected components in uncorrelated networks / 6.1:
Ultra-resilience phenomenon / 6.2:
Finite-size effects / 6.3:
k-cores / 6.4:
Epidemics in networks / 6.5:
Self-organization of networks / 7:
Random recursive trees / 7.1:
The Barabási-Albert model / 7.2:
General preferential attachment / 7.3:
Condensation phenomena / 7.4:
Accelerated growth / 7.5:
The BKT transition / 7.6:
Deterministic graphs / 7.7:
Correlations in networks / 8:
Degree-degree correlations / 8.1:
How to measure correlations / 8.2:
Assortative and disassortative mixing / 8.3:
Why are networks correlated? / 8.4:
Degree correlations and clustering / 8.5:
Weighted networks / 9:
The strength of weak ties / 9.1:
World-wide airport network / 9.2:
Modelling weighted networks / 9.3:
Motifs, cliques, communities / 10:
Cliques in networks / 10.1:
Statistics of motifs / 10.2:
Modularity / 10.3:
Detecting communities / 10.4:
Hierarchical architectures / 10.5:
Navigation and search / 11:
Random walks on networks / 11.1:
Biased random walks / 11.2:
Kleinberg's problem / 11.3:
Navigability / 11.4:
Google PageRank / 11.5:
Traffic / 12:
Traffic in the Internet / 12.1:
Congestion / 12.2:
Cascading failures / 12.3:
Interacting systems on networks / 13:
The Ising model on networks / 13.1:
Critical phenomena / 13.2:
Synchronization / 13.3:
Games on networks / 13.4:
Avalanches as branching processes / 13.5:
Optimization / 14:
Critique of preferential attachment / 14.1:
Optimized trade-offs / 14.2:
The power of choice / 14.3:
Outlook / 15:
Further reading
References
Index
From the Internet to cellular networks
First steps towards networks / 1:
Euler's graph / 1.1:
Examples of graphs / 1.2:
8.

図書

図書
Albert Furrer, Joël Mesot, Thierry Strässle
出版情報: Hackensack : World Scientific, c2009  xiv, 301 p. ; 24 cm
シリーズ名: Series on neutron techniques and applications ; v. 4
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction / 1:
Why neutron scattering? / 1.1:
Basic properties of the neutron / 1.2:
Basic principles of Neutron Scattering / 2:
Aim of a neutron scattering experiment / 2.1:
Neutron scattering cross-section / 2.2:
Correlation functions / 2.3:
Coherent and incoherent scattering / 2.4:
Principle of detailed balance / 2.5:
Magnetic scattering / 2.6:
Polarized neutrons / 2.7:
Dynamical neutron scattering / 2.8:
Further reading / 2.9:
Instrumentation / 3:
Neutron sources / 3.1:
Historical evolution of neutron sources / 3.1.1:
Practical requirements for neutron sources / 3.1.2:
Fission sources / 3.1.3:
Spallation sources / 3.1.4:
Moderation of neutrons / 3.1.5:
Instrument component / 3.2:
Beam tubes and static collimators / 3.2.1:
Neutron guides / 3.2.2:
Time-of-flight monochromators / 3.2.3:
Monochromators (and analyzer) crystals / 3.2.4:
Neutron beam filters / 3.2.5:
Spin polarizers (and spin analyzers) / 3.2.6:
Guide fields and spin flippers / 3.2.7:
Detectors / 3.2.8:
Neutrons instruments / 3.3:
Introductory remarks / 3.3.1:
Powder diffractometers / 3.3.2:
Single-crystal diffractometers / 3.3.3:
Small-angle scattering instruments / 3.3.4:
Reflectometers / 3.3.5:
Time-of-flight spectrometers / 3.3.6:
Triple-axis spectrometers / 3.3.7:
Backscattering spectrometers / 3.3.8:
Spin-echo spectrometers / 3.3.9:
Sample environment / 3.4:
Temperature / 3.4.1:
Magnetic field / 3.4.2:
Pressure / 3.4.3:
Structure Determinations / 3.5:
Cross section / 4.1:
Examples of structure factors / 4.2:
Polycrystalline materials / 4.3:
Single crystals / 4.4:
Rotating crystal method / 4.4.1:
Laue method / 4.4.2:
Extinction and absorption / 4.5:
Characterization of residual stress / 4.6:
Exercises / 4.7:
Solutions / 4.9:
Lattice Dynamics / 5:
Cross section for one-phonon scattering / 5.1:
Phonon dispersion relations and polarization vectors / 5.2:
Linear chain with identical atoms / 5.2.1:
Linear chain with two different atoms / 5.2.2:
Experimental / 5.2.3:
Incoherent scattering phonon density of states / 5.3:
Multi-phonon processes: coherent scattering / 5.4:
Exercise / 5.5:
Liquids and Amorphous Materials / 5.7:
Static structure factor / 6.1:
Diffusion / 6.3:
Magnetic Structures / 6.4:
General cross section / 7.1:
Paramagnets / 7.2:
Ferromagnets / 7.3:
Antiferromagnets / 7.4:
Helical spin structures (magnetic spiral structures) / 7.5:
Magnetic ordering wavevector / 7.6:
Zero-field magnetization / 7.7:
Spin densities / 7.8:
Magnetic Excitations / 7.9:
Magnetic cluster excitations / 8.1:
Dimers / 8.1.1:
Trimers / 8.1.2:
Tetramers / 8.1.3:
N-mers / 8.1.4:
Spin waves / 8.2:
The random-phase approximation / 8.2.1:
Solitons / 8.3:
Solution / 8.4:
Crystal-Field Transitions / 9:
Elementary concept of crystal fields / 9.1:
Crystal-field interaction of f-election system / 9.2:
Neutron cross-section / 9.3:
Interaction of the crystal-field spilt ions / 9.4:
Intermultiplet crystal-field transitions / 9.5:
Calculation of thermodynamic magnetic properties / 9.6:
phase Transitions / 9.7:
Structural phase transitions / 10.1:
Phase transitions in ice / 10.3:
Magnetic Phase transitions / 10.4:
Quantum Phase transitions / 10.5:
Superconductivity / 10.6:
The flux-line lattice / 11.1:
Phonon density of states / 11.3:
Phonon energies and linewidths / 11.4:
Relaxation effects of crystal-field transitions / 11.5:
Spin fluctuations in high-temperature superconductors / 11.6:
Superfluidity / 11.7:
Liquid 4He / 12.1:
Phase diagram / 12.2.1:
Elementary excitations / 12.2.2:
The condensate fraction / 12.2.3:
Liquid 3He / 12.2.4:
Defects in Solids / 12.3.1:
Short-range order of point defects / 13.1:
Macro-defects / 13.3:
The triangulation method / 13.4:
Resonant and local modes / 13.5:
Surface and Interface / 13.6:
Specular reflection / 14.1:
Off-specular reflection / 14.3:
Grazing incidence scattering scattering / 14.4:
Hydrogen Dynamics / 14.5:
Dynamics of the hydrogen bond / 15.1:
Hydrogen tunneling / 15.3:
Dirac ?-function and Lattice Sims / 15.4:
Neutron Scattering Lengths and Cross Sections / Appendix B:
Paul Spin Operators / Appendix C:
Cross Section for Magnetic Neutron Scattering / Appendix D:
Crystal Lattice and reciporocal Lattice / Appendix E:
The 3-j and 6-j Symbols / Appendix F:
Impulse Approximation / Appendix G:
List of Symbols
Bibliography
Index
Preface
Introduction / 1:
Why neutron scattering? / 1.1:
9.

図書

図書
L.D. Faddeev, L.A. Takhtajan ; translated from the Russian by A.G. Reyman
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  ix, 592 p. ; 24 cm
シリーズ名: Springer series in Soviet mathematics
所蔵情報: loading…
10.

図書

図書
Siegfried Flügge
出版情報: Berlin ; New York : Springer-Verlag, 1971  2 v. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 177-178
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼