Computational Modeling and Visualization of Physical Systems with Python
AvJay Wang
Häftad, Engelska, 2024
1 579 kr
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Beskrivning
Computational Modeling, by Jay Wang introduces computational modeling and visualization of physical systems that are commonly found in physics and related areas. The authors begin with a framework that integrates model building, algorithm development, and data visualization for problem solving via scientific computing. Through carefully selected problems, methods, and projects, the reader is guided to learning and discovery by actively doing rather than just knowing physics.
Produktinformation
- Utgivningsdatum:2024-09-19
- Mått:201 x 254 x 18 mm
- Vikt:885 g
- Format:Häftad
- Språk:Engelska
- Antal sidor:492
- Förlag:John Wiley & Sons Inc
- ISBN:9781119239888
Utforska kategorier
Innehållsförteckning
- Preface ix1 Introduction 11.1 Computational modeling and visualization, 11.2 The science and art of numerics, 21.3 Fundamentals of programming and visualization, 61.4 Exercises and projects, 141.A Floating point representation, 151.B Python installation, 171.C The Matplotlib plot function, 201.D Basic NumPy array operations, 212 Free Fall and Ordinary Differential Equations 272.1 Free fall with Euler’s method, 272.2 The Runge-Kutta (RK) methods, 322.3 System of first-order ODEs, 372.4 The leapfrog method, 432.5 Exercises and projects, 482.A Area preservation of the leapfrog method, 522.B Program listings and descriptions, 543 Realistic Projectile Motion with Air Resistance 573.1 Visualization of ideal projectile motion, 573.2 Modeling air resistance, 583.3 Linear air resistance, 623.4 The Lambert 𝑊 function, 673.5 Quadratic air resistance and spin, 703.6 Physics of ball sports, 733.7 Shooting methods, 803.8 Exercises and projects, 833.A Bisection and Newton’s root finders, 873.B Program listings and descriptions, 894 Planetary Motion and Few-Body Problems 924.1 Motion of a planet, 924.2 Properties of planetary motion, 944.3 Precession of Mercury, 994.4 Star wobbles and exoplanets, 1074.5 Planar three-body problems, 1114.6 The restricted three-body problem, 1164.7 Exercises and projects, 1254.A Rotating frames and rate of change of vectors, 1304.B Rotation matrices, 1324.C Radial velocity transformation, 1334.D Program listings and descriptions, 1355 Nonlinear Dynamics and Chaos 1445.1 A first model: the logistic map, 1445.2 Chaos, 1535.3 A non-linear driven oscillator, 1575.4 The Lorenz flow, 1635.5 Power spectrum and Fourier transform, 1685.6 Fractals, 1705.7 Exercises and projects, 1745.A Program listings and descriptions, 1796 Oscillations and Waves 1846.1 A damped harmonic oscillator, 1846.2 Vibrations of triatomic molecules, 1886.3 Displacement of a string under a load, 1946.4 Point source and finite element method, 1996.5 Waves on a string, 2046.6 Standing waves, 2106.7 Waves on a membrane, 2126.8 A falling tablecloth toward equilibrium, 2156.9 Exercises and projects, 2176.A Program listings and descriptions, 2227 Electromagnetic Fields 2267.1 The game of electric field hockey, 2267.2 Electric potentials and fields, 2287.3 Laplace equation and finite element method, 2337.4 Boundary value problems with FEM, 2427.5 Meshfree methods for potentials and fields, 2477.6 Visualization of electromagnetic fields, 2517.7 Exercises and projects, 2567.A Program listings and descriptions, 2618 Time-Dependent Quantum Mechanics 2728.1 Time-dependent Schrödinger equation, 2728.2 Direct simulation, 2748.3 Free fall, the quantum way, 2818.4 Two-state systems and Rabi flopping, 2898.5 Quantum waves in 2D, 2938.6 Exercises and projects, 2998.A Numerical integration, 3048.B Program listings and descriptions, 3079 Time-Independent Quantum Mechanics 3139.1 Bound states by shooting methods, 3139.2 Periodic potentials and energy bands, 3199.3 Eigenenergies by FDM and FEM methods, 3209.4 Basis expansion method, 3269.5 Central field potentials, 3319.6 Quantum dot, 3359.7 Exercises and projects, 3439.A Numerov’s method, 3489.B The linear potential and Airy function, 3499.C Program listings and descriptions, 35110 Simple Random Problems 36210.1 Random numbers and radioactive decay, 36210.2 Random walk, 36410.3 Brownian motion, 36710.4 Potential energy by Monte Carlo integration, 36910.5 Exercises and projects, 37210.A Statistical theory of Brownian motion, 37610.B Nonuniform distributions, 37710.C Program listings and descriptions, 37811 Thermal Systems 38211.1 Thermodynamics of equilibrium, 38211.2 The Ising model, 39211.3 Thermal relaxation by simulated annealing, 40411.4 Molecular dynamics, 40611.5 Exercises and projects, 41411.A Boltzmann factor and entropy, 42111.B Exact solutions of the 2D Ising model, 42211.C Program listings and descriptions, 42412 Classical and Quantum Scattering 42812.1 Scattering and cross sections, 42812.2 Rainbow and glory scattering, 43212.3 Quantum scattering amplitude, 43712.4 Partial waves, 43912.5 Exercises and projects, 45012.A Derivation of the deflection function, 45612.B Partial wave analysis, 45712.C Program listings and descriptions, 459List of Programs 463Bibliography 467Index 471