By Konstantinos Anagnostopoulos
This booklet is an advent to the computational equipment utilized in physics and different similar medical fields. it really is addressed to an viewers that has already been uncovered to the introductory point of school physics, frequently taught through the first years of an undergraduate application in technology and engineering. It assumes no previous wisdom of numerical research, programming or pcs and teaches no matter what is critical for the answer of the issues addressed within the textual content. C++ is used for programming the middle courses and knowledge research is played utilizing the robust instruments of the GNU/Linux setting. all of the worthy software program is open resource and freely available.
The ebook begins with extremely simple difficulties in particle movement and ends with an in-depth dialogue of complicated options utilized in Monte Carlo simulations in statistical mechanics. the extent of guide rises slowly, whereas discussing difficulties just like the diffusion equation, electrostatics at the airplane, quantum mechanics and random walks.
The booklet is given with a CC and GNU Public License and can also be to be had, including the accompanying software program from the book's web site 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++)
GNUPLOT 49 gnuplot > p l o t ” data ” using 1 : 3 with lines plots the third column as a function of the ﬁrst, and the keywords with lines instruct gnuplot to connect each pair (xi , yi ) with a straight line segment. 5* x ) gnuplot > r e p l o t ” data ” using 1 : 2 gnuplot > r e p l o t 2* x The ﬁrst line plots the 1st and 3rd columns in the ﬁle data together with the function e−x/2 . The second line adds the plot of the 1st and 2nd columns in the ﬁle data and the third line adds the plot of the function 2x.
There are many mathematical functions built in gnuplot and a fit command for non linear ﬁtting of data. There exist interactive terminals where the user can transform a plot by using the mouse and keyboard commands. This section is brief and only the features, necessary for the following chapters, are discussed. info. info/screenshots/, where you can ﬁnd the type of graph that you want to create and obtain an easy to use recipe for it. The book  is an excellent place to look for many of gnuplot’s secrets³⁸.
The last statement, i++, is evaluated each time after the last statement in the loop has been executed. The operator ++ is the increment operator, and its eﬀect is equivalent to the statement: i = i + 1; The value of i is increased by one. The command: R [ i ] = R [ i−1] + 1 . 0 ; deﬁnes the i-th radius from the value R[i-1]. 0. The second loop uses the deﬁned R-values in order to do the computation and print of the results. Now we will write an interactive version of the program. Instead of hard coding the values of the radii, we will interact with the user asking her to give her own values.