Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++), Vol. II, Τόμος 2
Lulu.com, 6 Δεκ 2016 - 394 σελίδες
This book is an introduction to the computational methods used in physics and other related scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. It assumes no prior knowledge of numerical analysis, programming or computers and teaches whatever is necessary for the solution of the problems addressed in the text. C++ is used for programming the core programs and data analysis is performed using the powerful tools of the GNU/Linux environment. All the necessary software is open source and freely available. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks.
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When a line starts with the prompt
The Anharmonic Oscillator
Time Independent Schrödinger Equation
The Random Walker
Monte Carlo Simulations
anharmonic anharmonic oscillator argc argv array autocorrelation beta boundary conditions calculate cerr cluster command compute configuration const double& convergence cout critical exponent critical temperature defined distribution double eigenvalues electric field eline endl energy epsilon equation error bars title exit expectation value field lines finite size effects flip fstream gnuplot X plot grep Hamiltonian imatch include fstream include io stream initial integrate iomanip Ising model jackknife method line cin locerr magnetic susceptibility matrix measurements Metropolis algorithm MIXMAX mxmx myfile ndat nearest neighbors number of charges obtain ºk ºk ºk parameters particle phase transition potential problem pseudorandom psip psixmax psixmin random numbers replot 3 rep rmax rmin sample scaling seed shown in figure simulation solution spin square lattice sweeps thermalization thermodynamic limit variable void wave functions Wolff xmax xmin