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You're reading from  Scientific Computing with Python - Second Edition

Product typeBook
Published inJul 2021
Reading LevelIntermediate
PublisherPackt
ISBN-139781838822323
Edition2nd Edition
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Authors (3):
Claus Führer
Claus Führer
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Claus Führer

Claus Führer is a professor of scientific computations at Lund University, Sweden. He has an extensive teaching record that includes intensive programming courses in numerical analysis and engineering mathematics across various levels in many different countries and teaching environments. Claus also develops numerical software in research collaboration with industry and received Lund University's Faculty of Engineering Best Teacher Award in 2016.
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19.3 Solving initial value problems

In this section, we will consider the mathematical task of numerically solving a system of ordinary equations for given initial values:

.

The solution to this problem is a function . A numerical method computes approximations,  at discrete  communications points, , within the interval of interest . We collect the data that describes the problem in a class as follows:

class IV_Problem:
    """
    Initial value problem (IVP) class
    """
    def __init__(self, rhs, y0, interval, name='IVP'):
        """
        rhs 'right hand side' function of the ordinary differential
                                                   equation f(t,y)
        y0 array with initial values
        interval start and end value of the interval of independent
        variables often initial and end time
        name descriptive name of the problem
        """
        self.rhs...
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Scientific Computing with Python - Second Edition
Published in: Jul 2021Publisher: PacktISBN-13: 9781838822323

Authors (3)

author image
Claus Führer

Claus Führer is a professor of scientific computations at Lund University, Sweden. He has an extensive teaching record that includes intensive programming courses in numerical analysis and engineering mathematics across various levels in many different countries and teaching environments. Claus also develops numerical software in research collaboration with industry and received Lund University's Faculty of Engineering Best Teacher Award in 2016.
Read more about Claus Führer