By Konstantinos Anagnostopoulos
This booklet is an advent to the computational equipment utilized in physics and different similar clinical fields. it truly is addressed to an viewers that has already been uncovered to the introductory point of faculty physics, frequently taught in the course of the first years of an undergraduate application in technology and engineering. It assumes no previous wisdom of numerical research, programming or desktops and teaches no matter what is critical for the answer of the issues addressed within the textual content. C++ is used for programming the center courses and information research is played utilizing the robust instruments of the GNU/Linux surroundings. all of the valuable software program is open resource and freely available.
The e-book starts off with extremely simple difficulties in particle movement and ends with an in-depth dialogue of complicated ideas utilized in Monte Carlo simulations in statistical mechanics. the extent of guideline rises slowly, whereas discussing difficulties just like the diffusion equation, electrostatics at the aircraft, quantum mechanics and random walks.
The booklet is given with a CC and GNU Public License and can be to be had, including the accompanying software program from the book's website www.physics.ntua.gr/~konstant/ComputationalPhysics
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Extra info for Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++)
In order to plot data points (xi , yi ), we can read their values from ﬁles. 223 The ﬁrst line is taken by gnuplot as a comment line, since it begins with a #. In fact, gnuplot ignores everything after a #. In order to plot the second column as a function of the ﬁrst, type the command: gnuplot > p l o t ” data ” using 1 : 2 with points The name of the ﬁle is within double quotes. After the keyword using, we instruct gnuplot which columns to use as the x and y coordinates, respectively. The keywords with points instructs gnuplot to add each pair (xi , yi ) to the plot with points.
The switch -o deﬁnes the name of the executable ﬁle, which in our case is hello. If the compilation is successful, the program runs with the command: ³²g++ is a front end to the GNU collection of compilers gcc. By installing gcc, you obtain a collection of compilers for several languages, like C, C++, Fortran, Java and others. org/ 38 CHAPTER 1. THE COMPUTER > . / hello Hello world ! / is not a special symbol for running programs. /hello is the full path to the ﬁle hello. Now, we will try a simple calculation.
0 * PI * R [ i ] ; area = PI * R [ i ] * R [ i ] ; myfile << ( i +1) << ” ) R= ” << ” p e r i m e t e r= ” myfile << ( i +1) << ” ) R= ” << ” a r e a = ” } << << << << 41 R[i] perimeter << ’\n ’ ; R[i] area << ’\n ’ ; myfile . close ( ) ; } In the above program, the size of the array R is deﬁned by a const int. A const declares a variable to be a parameter whose value does not change during the execution of the program and, if it is of int type, it can be used to declare the size of an array. The array elements R[i] are read using the command: cin >> R [ i ] ; cin is the standard input stream, the same way that cout is the standard output stream³⁶.
Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++) by Konstantinos Anagnostopoulos