Verfügbarkeit: Computational physics

Computational physics: with worked out examples in FORTRAN and MATLAB

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Bibliographische Detailangaben
1. Verfasser:	Bestehorn, Michael 1957- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin ; Boston De Gruyter [2018]
Schriftenreihe:	De Gruyter graduate
Schlagworte:	Computerphysik Lehrbuch
Online-Zugang:	Inhaltsverzeichnis Inhaltsverzeichnis
Beschreibung:	X, 320 Seiten Illustrationen, Diagramme 24 cm, 637 g
ISBN:	9783110515138 311051513X

Internformat

MARC


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245	1	0	\|a Computational physics \|b with worked out examples in FORTRAN and MATLAB \|c Michael Bestehorn
264		1	\|a Berlin ; Boston \|b De Gruyter \|c [2018]
300			\|a X, 320 Seiten \|b Illustrationen, Diagramme \|c 24 cm, 637 g
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
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776	0	8	\|i Erscheint auch als \|n Online-Ausgabe, PDF \|z 978-3-11-051514-5
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|a Bestehorn, Michael, 1957- \|t Computational Physics \|d Berlin/Boston : De Gruyter, 2018 \|h Online-Ressource, 330 Seiten
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Datensatz im Suchindex

_version_	1804178687122210816
adam_text	CONTENTS 1 INTRODUCTION * 1 1.1 GOAL, CONTENTS, AND OUTLINE * 1 1.2 THE ENVIRONMENT REQUIRED FOR PROGRAM DEVELOPMENT * 1.2.1 OPERATING SYSTEM * 4 1.2.2 SOFTWARE PACKAGES * 5 1.2.3 GRAPHICS ----- 5 1.2.4 PROGRAM DEVELOPMENT AND A SIMPLE SCRIPT* 6 1.3 A FIRST EXAMPLE - THE LOGISTIC MAP * 7 1.3.1 MAP * 7 1.3.2 FORTRAN ----- 8 1.3.3 PROBLEMS * 11 2 NONLINEAR MAPS * 12 2.1 FRENKEL-KOTOROVA MODEL * 12 2.1.1 CLASSICAL FORMULATION * 12 2.1.2 EQUILIBRIUM SOLUTIONS ----- 13 2.1.3 THE STANDARD MAP * 13 2.1.4 PROBLEMS ----- 14 2.2 CHAOS AND LYAPUNOV EXPONENTS * 15 2.2.1 STABILITY, BUTTERFLY EFFECT, AND CHAOS * 15 2.2.2 LYAPUNOV EXPONENT OF THE LOGISTIC MAP* 16 2.2.3 LYAPUNOV EXPONENTS FOR MULTIDIMENSIONAL MAPS * 17 2.3 AFFINE MAPS AND FRACTALS ----- 20 2.3.1 SIERPINSKI TRIANGLE * 22 2.3.2 ABOUT FERNS AND OTHER PLANTS * 23 2.3.3 PROBLEMS * 24 2.4 FRACTAL DIMENSION * 25 2.4.1 BOX-COUNTING ----- 25 2.4.2 APPLICATION: SIERPINSKI TRIANGLE ----- 26 2.4.3 PROBLEM ----- 27 2.5 NEURAL NETWORKS * 27 2.5.1 PERCEPTION ----- 28 2.5.2 SELF-ORGANIZED MAPS: KOHONENS MODEL 34 2.5.3 PROBLEMS ----- 39 3 DYNAMICAL SYSTEMS * 40 3.1 QUASILINEAR DIFFERENTIAL EQUATIONS * 40 3.1.1 EXAMPLE: LOGISTIC MAP AND LOGISTIC ODE * 41 3.1.2 PROBLEMS * 42 3.2 FIXED POINTS AND INSTABILITIES* 43 3.2.1 FIXED POINTS * 43 3.2.2 STABILITY* 43 3.2.3 TRAJECTORIES ----- 44 3.2.4 GRADIENT DYNAMICS * 45 3.2.5 SPECIAL CASE N = 1 * 45 3.2.6 SPECIAL CASE N = 2 * 45 3.2.7 SPECIAL CASE N = 3 * 47 3.3 HAMILTONIAN SYSTEMS * 50 3.3.1 HAMILTON FUNCTION AND CANONICAL EQUATIONS * 50 3.3.2 SYMPLECTIC INTEGRATORS * 51 3.3.3 POINCAR§ SECTION * 56 4 ORDINARY DIFFERENTIAL EQUATIONS I * 58 4.1 NEWTONS MECHANICS 58 4.1.1 EQUATIONS OF MOTION * 58 4.1.2 THE MATHEMATICAL PENDULUM * 59 4.2 NUMERICAL METHODS OF THE LOWEST ORDER* 60 4.2.1 EULER METHOD * 60 4.2.2 NUMERICAL STABILITY OF THE EULER METHOD * 60 4.2.3 IMPLICIT AND EXPLICIT METHODS * 63 4.3 HIGHER ORDER METHODS * 64 4.3.1 HEUNS METHOD 64 4.3.2 PROBLEMS ----- 67 4.3.3 RUNGE-KUTTA METHOD ----- 67 4.4 RK4 APPLICATIONS: CELESTIAL MECHANICS * 73 4.4.1 KEPLER PROBLEM: CLOSED ORBITS * 73 4.4.2 QUASIPERIODIC ORBITS AND APSIDAL PRECESSION * 76 4.4.3 MULTIPLE PLANETS: IS OUR SOLAR SYSTEM STABLE? * 76 4.4.4 THE REDUCED THREE-BODY PROBLEM * 79 4.4.5 PROBLEMS* 86 4.5 MOLECULAR DYNAMICS (MD) * 86 4.5.1 CLASSICAL FORMULATION * 86 4.5.2 BOUNDARY CONDITIONS * 87 4.5.3 MICROCANONICAL AND CANONICAL ENSEMBLE * 88 4.5.4 A SYMPLECTIC ALGORITHM * 89 4.5.5 EVALUATION * 90 4.5.6 PROBLEMS* 94 4.6 CHAOS ----- 95 4.6.1 HARMONICALLY DRIVEN PENDULUM * 95 4.6.2 POINCARAE SECTION AND BIFURCATION DIAGRAMS * 97 4.6.3 LYAPUNOV EXPONENTS * 98 4.6.4 FRACTAL DIMENSION * 106 4.6.5 RECONSTRUCTION OF ATTRACTORS * 109 4.7 ODES WITH PERIODIC COEFFICIENTS * 111 4.7.1 FLOQUET THEOREM * 111 4.7.2 STABILITY OF LIMIT CYCLES ----- 112 4.7.3 PARAMETRIC INSTABILITY: PENDULUM WITH AN OSCILLATING SUPPORT * 112 4.7.4 MATHIEU EQUATION * 114 4.7.5 PROBLEMS ----- 116 5 ORDINARY DIFFERENTIAL EQUATIONS II * 117 5.1 PRELIMINARY REMARKS * 117 5.1.1 BOUNDARY CONDITIONS * 117 5.1.2 EXAMPLE: BALLISTIC FLIGHT * 118 5.2 FINITE DIFFERENCES * 118 5.2.1 DISCRETIZATION * 119 5.2.2 EXAMPLE: SCHROEDINGER EQUATION * 122 5.3 WEIGHTED RESIDUAL METHODS * 128 5.3.1 WEIGHT AND BASE FUNCTIONS * 128 5.3.2 EXAMPLE: STARK EFFECT ------ 130 5.4 NONLINEAR BOUNDARY VALUE PROBLEMS * 132 5.4.1 NONLINEAR SYSTEMS * 132 5.4.2 NEWTON-RAPHSON ----- 133 5.4.3 EXAMPLE: THE NONLINEAR SCHROEDINGER EQUATION * 134 5.4.4 EXAMPLE: A MOONSHOT ------ 136 5.5 SHOOTING ----- 140 5.5.1 THE METHOD ----- 140 5.5.2 EXAMPLE: FREE FALL WITH QUADRATIC FRICTION * 141 5.5.3 SYSTEMS OF EQUATIONS * 142 5.6 PROBLEMS ----- 143 6 PARTIAL DIFFERENTIAL EQUATIONS I, BASICS * 144 6.1 CLASSIFICATION ----- 144 6.1.1 PDES OF THE FIRST ORDER * 144 6.1.2 PDES OF THE SECOND ORDER* 147 6.1.3 BOUNDARY AND INITIAL CONDITIONS * 149 6.2 FINITE DIFFERENCES * 153 6.2.1 DISCRETIZATION * 153 6.2.2 ELLIPTIC PDES, EXAMPLE: POISSON EQUATION ----- 156 6.2.3 PARABOLIC PDES, EXAMPLE: HEAT EQUATION * 162 6.2.4 HYPERBOLIC PDES, EXAMPLE: CONVECTION EQUATION, WAVE EQUATION * 167 6.3 ALTERNATIVE DISCRETIZATION METHODS * 173 6.3.1 CHEBYSHEV SPECTRAL METHOD * 173 6.3.2 SPECTRAL METHOD BY FOURIER TRANSFORMATION * 178 6.3.3 FINITE-ELEMENT METHOD * 182 6.4 NONLINEAR PDFS ------ 186 6.4.1 REAL GINZBURG-LANDAU EQUATION * 186 6.4.2 NUMERICAL SOLUTION, EXPLICIT METHOD * 188 6.4.3 NUMERICAL SOLUTION, SEMI-IMPLICIT METHOD * 189 6.4.4 PROBLEMS* 190 7 PARTIAL DIFFERENTIAL EQUATIONS II, APPLICATIONS * 193 7.1 QUANTUM MECHANICS IN ONE DIMENSION * 193 7.1.1 STATIONARY TWO-PARTICLE EQUATION * 193 7.1.2 TIME-DEPENDENT SCHROEDINGER EQUATION * 196 7.2 QUANTUM MECHANICS IN TWO DIMENSIONS * 202 7.2.1 SCHROEDINGER EQUATION * 202 7.2.2 ALGORITHM ----- 202 7.2.3 EVALUATION * 203 7.3 FLUID MECHANICS: FLOW OF AN INCOMPRESSIBLE LIQUID * 204 7.3.1 HYDRODYNAMIC BASIC EQUATIONS * 204 7.3.2 EXAMPLE: DRIVEN CAVITY ----- 206 7.3.3 THERMAL CONVECTION: (A) SQUARE GEOMETRY ----- 211 7.3.4 THERMAL CONVECTION: (B) RAYLEIGH-BENARD CONVECTION ----- 218 7.4 PATTERN FORMATION OUT OF EQUILIBRIUM * 225 7.4.1 REACTION-DIFFUSION SYSTEMS * 225 7.4.2 SWIFT-HOHENBERG EQUATION ----- 234 7.4.3 PROBLEMS ----- 238 8 MONTE CARLO METHODS (MC) * 240 8.1 RANDOM NUMBERS AND DISTRIBUTIONS * 240 8.1.1 RANDOM NUMBER GENERATOR * 240 8.1.2 DISTRIBUTION FUNCTION, PROBABILITY DENSITY, MEAN VALUES * 241 8.1.3 OTHER DISTRIBUTION FUNCTIONS * 242 8.2 MONTE CARLO INTEGRATION * 245 8.2.1 INTEGRALS IN ONE DIMENSION * 245 8.2.2 INTEGRALS IN HIGHER DIMENSIONS * 247 8.3 APPLICATIONS FROM STATISTICAL PHYSICS * 250 8.3.1 TWO-DIMENSIONAL CLASSICAL GAS * 250 8.3.2 THE ISING MODEL ----- 255 8.4 DIFFERENTIAL EQUATIONS DERIVED FROM VARIATIONAL PROBLEMS * 265 8.4.1 DIFFUSION EQUATION * 265 8.4.2 SWIFT-HOHENBERG EQUATION * 267 A MATRICES AND SYSTEMS OF LINEAR EQUATIONS * 270 A .L REAL MATRICES ------ 270 A.1.1 EIGENVALUES AND EIGENVECTORS * 270 A .L.2 CHARACTERISTIC POLYNOMIAL * 270 A.1.3 NOTATIONS * 271 A.1.4 NORMAL MATRICES * 271 A.2 COMPLEX MATRICES * 272 A.2.1 NOTATIONS ------ 272 A.2.2 JORDAN CANONICAL FORM * 273 A.3 INHOMOGENEOUS SYSTEMS OF LINEAR EQUATIONS * 274 A.3.1 REGULAR AND SINGULAR SYSTEM MATRICES * 274 A.3.2 FREDHOLM ALTERNATIVE * 275 A.3.3 REGULAR MATRICES * 275 A.3.4 LU DECOMPOSITION ------ 276 A.3.5 THOMAS ALGORITHM ------ 278 A.4 HOMOGENEOUS SYSTEMS OF LINEAR EQUATIONS * 279 A.4.1 EIGENVALUE PROBLEMS * 279 A.4.2 DIAGONALIZATION * 279 A.4.3 APPLICATION: ZEROS OF A POLYNOMIAL * 282 B PROGRAM LIBRARY * 284 8.1 ROUTINES ----- 284 8.2 GRAPHICS ----- 285 8.2.1 INIT ------ 285 8.2.2 CONTUR ------ 285 8.2.3 CONTURL ----- 285 8.2.4 CCONTU ------ 286 8.2.5 IMAGE * 286 8.2.6 CCIRCL ------ 286 8.3 RUNGE-KUTTA * 286 8.3.1 RKG ------ 286 8.3.2 DRKG ------ 287 8.3.3 DRKADT ------ 287 8.4 MISCELLANEOUS ------ 287 8.4.1 TRIDAG - THOMAS ALGORITHM * 287 8.4.2 CTRIDA ------ 287 8.4.3 DLYAP_EXP - LYAPUNOV EXPONENTS * 288 8.4.4 SCHMID - ORTHOGONALIZATION ----- 288 8.4.5 FUNCTION VOLUM - VOLUME IN N DIMENSIONS ----- 288 8.4.6 FUNCTION DETER - DETERMINANT * 289 8.4.7 RANDOMJNIT - RANDOM NUMBERS * 289 C C .L C.2 C.3 C.4 C.5 C.6 C. 7 D D. L D.2 0.2.1 D.2.2 D.2.3 INDEX SOLUTIONS OF THE PROBLEMS * 290 CHAPTER 1 * 290 CHAPTER 2 * 291 CHAPTER 3 ----- 292 CHAPTER 4 * 292 CHAPTER 5 * 301 CHAPTER 6 * 303 CHAPTER 7 * 306 README AND A SHORT GUIDE TO FE-TOOLS * 310 README ----- 310 SHORT GUIDE TO FINITE-ELEMENT TOOLS FROM CHAPTER 6 * 313 MESH_GENERATOR * 313 LAPLACE_SOLVER * 315 GRID_CONTUR* 315 - 3 1 7
any_adam_object	1
author	Bestehorn, Michael 1957-
author_GND	(DE-588)112842763
author_facet	Bestehorn, Michael 1957-
author_role	aut
author_sort	Bestehorn, Michael 1957-
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building	Verbundindex
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dewey-ones	530 - Physics
dewey-raw	530.0285
dewey-search	530.0285
dewey-sort	3530.0285
dewey-tens	530 - Physics
discipline	Physik Mathematik
format	Book
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isbn	9783110515138 311051513X
language	English
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owner	DE-634 DE-19 DE-BY-UBM DE-20
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spelling	Bestehorn, Michael 1957- Verfasser (DE-588)112842763 aut Computational physics with worked out examples in FORTRAN and MATLAB Michael Bestehorn Berlin ; Boston De Gruyter [2018] X, 320 Seiten Illustrationen, Diagramme 24 cm, 637 g txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Computerphysik (DE-588)4273564-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Computerphysik (DE-588)4273564-6 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, EPUB 978-3-11-051521-3 Erscheint auch als Online-Ausgabe, PDF 978-3-11-051514-5 Erscheint auch als Online-Ausgabe Bestehorn, Michael, 1957- Computational Physics Berlin/Boston : De Gruyter, 2018 Online-Ressource, 330 Seiten B:DE-101 application/pdf http://d-nb.info/1118519442/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030467069&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Bestehorn, Michael 1957- Computational physics with worked out examples in FORTRAN and MATLAB Computerphysik (DE-588)4273564-6 gnd
subject_GND	(DE-588)4273564-6 (DE-588)4123623-3
title	Computational physics with worked out examples in FORTRAN and MATLAB
title_auth	Computational physics with worked out examples in FORTRAN and MATLAB
title_exact_search	Computational physics with worked out examples in FORTRAN and MATLAB
title_full	Computational physics with worked out examples in FORTRAN and MATLAB Michael Bestehorn
title_fullStr	Computational physics with worked out examples in FORTRAN and MATLAB Michael Bestehorn
title_full_unstemmed	Computational physics with worked out examples in FORTRAN and MATLAB Michael Bestehorn
title_short	Computational physics
title_sort	computational physics with worked out examples in fortran and matlab
title_sub	with worked out examples in FORTRAN and MATLAB
topic	Computerphysik (DE-588)4273564-6 gnd
topic_facet	Computerphysik Lehrbuch
url	http://d-nb.info/1118519442/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030467069&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT bestehornmichael computationalphysicswithworkedoutexamplesinfortranandmatlab AT walterdegruytergmbhcokg computationalphysicswithworkedoutexamplesinfortranandmatlab

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