On the epistemological analysis of modeling and computational error in the mathematical sciences

DOI10.1007/s11229-013-0339-4zbMath1302.00053OpenAlexW2154023413MaRDI QIDQ484959

Nicolas Fillion, Robert M. Corless

Publication date: 8 January 2015

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-013-0339-4

zbMATH Keywords

mathematical modelingmodeling errorbackward error analysiscomputational errorrational reconstruction

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) General theory of mathematical modeling (00A71) Logic in the philosophy of science (03A10)

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Uses Software

• mctoolbox

Cites Work

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• The global solution of the n-body problem
• \textit{Ceteris paribus} lost
• Asymptotics and the Role of Minimal Models
• Accuracy and Stability of Numerical Algorithms
• A Graduate Introduction to Numerical Methods
• Modern Error Analysis
• Numerical inverting of matrices of high order

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