Some Surprising Errors in Numerical Differentiation

• Autores: Sheldon P. Gordon
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 22, Nº. 5, 2012, págs. 437-450
• Idioma: inglés
• DOI: 10.1080/10511970.2010.536199
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• Resumen

  • Data analysis methods, both numerical and visual, are used to discover a variety of surprising patterns in the errors associated with successive approximations to the derivatives of sinusoidal and exponential functions based on the Newton difference-quotient. L'Hopital's rule and Taylor polynomial approximations are then used to explain why these surprising patterns occur.