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Finite Differencing: Differentiation and Integration

  • Maurice H.P.M. van Putten
Chapter
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Abstract

A number of problems of physics and astronomy appear as Ordinary Differential Equations (ODEs). A practical approach to their solution starts with an approximation to the derivative operator. Broadly, this can be approached by finite differencing or by exact differentiation following a spectral representation. Here, we focus on the first, motivated by an elementary consideration of the problem of estimating velocities and accelerations from particle trajectories. The methods discussed here will be applied to numerical solutions of some illustrative ODEs.

Keywords

Angular Momentum Circular Orbit Cosmological Horizon Spin Angular Momentum Midpoint Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Department of Physics and AstronomySejong UniversitySeoulRepublic of Korea (South Korea)

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