05326nam 2200625 450 991046096570332120200520144314.03-527-68469-73-527-68466-2(OCoLC)918556558(JP-MeL)3000065401(MiAaPQ)EBC1977650(MiAaPQ)EBC4042562(Au-PeEL)EBL4042562(CaPaEBR)ebr11115100(CaONFJC)MIL802201(OCoLC)927509579(EXLCZ)99371000000043440920151106h20152015 uy 0engurcnu||||||||txtccrComputational physics problem solving with Python /Rubin H. Landau, Manuel J. Páez, Cristian C. Bordeianu3rd ed.Weinheim, Germany :Wiley-VCH,2015.©20151 online resource (647 p.)Description based upon print version of record.3-527-41315-4 Includes bibliographical references and index.Cover; Dedication; Copyright page; Contents; Preface; 1 Introduction; 1.1 Computational Physics and Computational Science; 1.2 This Book's Subjects; 1.3 This Book's Problems; 1.4 This Book's Language: The Python Ecosystem; 1.4.1 Python Packages (Libraries); 1.4.2 This Book's Packages; 1.4.3 The Easy Way: Python Distributions (Package Collections); 1.5 Python's Visualization Tools; 1.5.1 Visual (VPython)'s 2D Plots; 1.5.2 VPython's Animations; 1.5.3 Matplotlib's 2D Plots; 1.5.4 Matplotlib's 3D Surface Plots; 1.5.5 Matplotlib's Animations; 1.5.6 Mayavi's Visualizations Beyond Plotting1.6 Plotting Exercises 1.7 Python's Algebraic Tools; 2 Computing Software Basics; 2.1 Making Computers Obey; 2.2 Programming Warm up; 2.2.1 Structured and Reproducible Program Design; 2.2.2 Shells, Editors, and Execution; 2.3 Python I/O; 2.4 Computer Number Representations (Theory); 2.4.1 IEEE Floating-Point Numbers; 2.4.2 Python and the IEEE 754 Standard; 2.4.3 Over and Underflow Exercises; 2.4.4 Machine Precision (Model); 2.4.5 Experiment: Your Machine's Precision; 2.5 Problem: Summing Series; 2.5.1 Numerical Summation (Method); 2.5.2 Implementation and Assessment3 Errors and Uncertainties in Computations 3.1 Types of Errors (Theory); 3.1.1 Model for Disaster: Subtractive Cancellation; 3.1.2 Subtractive Cancellation Exercises; 3.1.3 Round-off Errors; 3.1.4 Round-off Error Accumulation; 3.2 Error in Bessel Functions (Problem); 3.2.1 Numerical Recursion (Method); 3.2.2 Implementation and Assessment: Recursion Relations; 3.3 Experimental Error Investigation; 3.3.1 Error Assessment; 4 Monte Carlo: Randomness, Walks, and Decays; 4.1 Deterministic Randomness; 4.2 Random Sequences (Theory); 4.2.1 Random-Number Generation (Algorithm)4.2.2 Implementation: Random Sequences 4.2.3 Assessing Randomness and Uniformity; 4.3 Random Walks (Problem); 4.3.1 Random-Walk Simulation; 4.3.2 Implementation: Random Walk; 4.4 Extension: Protein Folding and Self-Avoiding Random Walks; 4.5 Spontaneous Decay (Problem); 4.5.1 Discrete Decay (Model); 4.5.2 Continuous Decay (Model); 4.5.3 Decay Simulation with Geiger Counter Sound; 4.6 Decay Implementation and Visualization; 5 Differentiation and Integration; 5.1 Differentiation; 5.2 Forward Difference (Algorithm); 5.3 Central Difference (Algorithm); 5.4 Extrapolated Difference (Algorithm)5.5 Error Assessment 5.6 Second Derivatives (Problem); 5.6.1 Second-Derivative Assessment; 5.7 Integration; 5.8 Quadrature as Box Counting (Math); 5.9 Algorithm: Trapezoid Rule; 5.10 Algorithm: Simpson's Rule; 5.11 Integration Error (Assessment); 5.12 Algorithm: Gaussian Quadrature; 5.12.1 Mapping Integration Points; 5.12.2 Gaussian Points Derivation; 5.12.3 Integration Error Assessment; 5.13 Higher Order Rules (Algorithm); 5.14 Monte Carlo Integration by Stone Throwing (Problem); 5.14.1 Stone Throwing Implementation; 5.15 Mean Value Integration (Theory and Math); 5.16 Integration Exercises5.17 Multidimensional Monte Carlo Integration (Problem)The use of computation and simulation has become an essential part of the scientific process. Being able to transform a theory into an algorithm requires significant theoretical insight, detailed physical and mathematical understanding, and a working level of competency in programming. This upper-division text provides an unusually broad survey of the topics of modern computational physics from a multidisciplinary, computational science point of view. Its philosophy is rooted in learning by doing (assisted by many model programs), with new scientific materials as well as with the Python programPhysicsProblems, exercises, etcData processingPhysicsComputer simulationElectronic books.PhysicsData processing.PhysicsComputer simulation.530.02855133Landau Rubin H.60004Páez Manuel J.Bordeianu Cristian C.MiAaPQMiAaPQMiAaPQBOOK9910460965703321Computational physics263563UNINA