A Primer on Scientific Programming with Python by Hans Petter Langtangen

By Hans Petter Langtangen

The ebook serves as a primary advent to machine programming of clinical purposes, utilizing the high-level Python language. The exposition is instance- and problem-oriented, the place the purposes are taken from arithmetic, numerical calculus, records, physics, biology, and finance. The publication teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required historical past, and it really is useful to check classical and numerical one-variable calculus in parallel with analyzing this e-book. along with studying tips to application desktops, the reader also will the right way to clear up mathematical difficulties, coming up in a number of branches of technological know-how and engineering, due to numerical equipment and programming. by means of mixing programming, arithmetic and medical functions, the publication lays a superior beginning for practising computational technology.

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Org. 27 on page 86 estimates the size of the errors. 9 for an example. 2-0ubuntu4)] on linux2 Type "help", "copyright", "credits" or "license" for more information. 0 The text on a line after >>> is what we write (shell input) and the text without the >>> prompt is the result that Python calculates (shell output). It is easy, as explained below, to recover previous input and edit the text. This editing feature makes it convenient to experiment with statements and expressions. 2342 We can now easily calculate an y value corresponding to another (say) v0 value: hit the up arrow key23 to recover previous statements, repeat pressing this key until the v0 = 5 statement is displayed.

9 for an example. 2-0ubuntu4)] on linux2 Type "help", "copyright", "credits" or "license" for more information. 0 The text on a line after >>> is what we write (shell input) and the text without the >>> prompt is the result that Python calculates (shell output). It is easy, as explained below, to recover previous input and edit the text. This editing feature makes it convenient to experiment with statements and expressions. 2342 We can now easily calculate an y value corresponding to another (say) v0 value: hit the up arrow key23 to recover previous statements, repeat pressing this key until the v0 = 5 statement is displayed.

Implement the iterated Midpoint method; function . . . . . . . . . . . . . . . . . . Implement the iterated Midpoint method; class . Make an ODESolver subclass for the iterated Midpoint method . . . . . . . . . . . . . . Study convergence of numerical methods for ODEs . . . . . . . . . . . . . . . . . . . Solve an ODE specified on the command line . . Find the body’s position in Exer. 5 . . . . . . Add the effect of air resistance on a ball .

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