Tao Pang's An Introduction to Computational Physics PDF

By Tao Pang

ISBN-10: 0521532760

ISBN-13: 9780521532761

Completely up-to-date and revised for its moment version, this complicated textbook offers an advent to the fundamental equipment of computational physics, and an outline of modern development in numerous components of clinical computing. Tao Pang provides many step by step examples, together with software listings in JavaTM, of useful numerical equipment from smooth physics and similar parts. Now together with many extra workouts, the quantity can be utilized as a textbook for both undergraduate or first-year graduate classes on computational physics or medical computation. it is going to even be an invaluable reference for someone focused on computational examine.

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0)) { j0--; f += dp[i][j0]; dx = -dx; } else { f += dm[i][j0]; dx = -dx; k0++; } } return f; } We can replace the Aitken method in the earlier example program with this method. 807 473, as expected. 2 Least-squares approximation As we have pointed out, interpolation is mainly used to find the local approximation of a given discrete set of data. In many situations in physics we need to know the global behavior of a set of data in order to understand the trend in a specific measurement or observation.

Now if we use three points for the interpolation, we can always construct a quadratic function that passes through all the three points. The error is now given by a term on the order of h 3 , where h is the larger interval between any two nearest points, because an x 3 term could be added to modify the curve to pass through the function point if it were actually known. In order to obtain the generalized interpolation formula passing through n + 1 data points, we rewrite the linear interpolation of Eq.

Write a Java application that simulates a Chinese abacus. Test your application by performing the four basic math operations (addition, subtraction, multiplication, and division) on your abacus. 15 Chapter 2 Approximation of a function This chapter and the next examine the most commonly used methods in computational science. Here we concentrate on some basic aspects associated with numerical approximation of a function, interpolation, least-squares and spline approximations of a curve, and numerical representations of uniform and other distribution functions.

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An Introduction to Computational Physics by Tao Pang

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