A Graduate Introduction to Numerical Methods, From the Viewpoint of Backward Error Analysis RM Corless, N Fillion Springer, 2013 | 214* | 2013 |
On the epistemological analysis of modeling and computational error in the mathematical sciences N Fillion, RM Corless Synthese 191, 1451-1467, 2014 | 27 | 2014 |
Le her and other problems in probability discussed by Bernoulli, Montmort and Waldegrave DR Bellhouse, N Fillion Statistical Science, 26-39, 2015 | 22 | 2015 |
Explanation and abstraction from a backward-error analytic perspective N Fillion, RHC Moir European Journal for Philosophy of Science 8, 735-759, 2018 | 11 | 2018 |
The vindication of computer simulations N Fillion Mathematics as a tool: tracing new roles of mathematics in the sciences, 137-155, 2017 | 9 | 2017 |
Numerical methods, complexity, and epistemic hierarchies N Fillion, S Bangu Philosophy of science 82 (5), 941-955, 2015 | 9 | 2015 |
The reasonable effectiveness of mathematics in the natural sciences N Fillion University of Western Ontario, 2012 | 8 | 2012 |
Backward error analysis for perturbation methods RM Corless, N Fillion Algorithms and Complexity in Mathematics, Epistemology, and Science …, 2019 | 7 | 2019 |
Jean-Pierre Marquis. From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory M Kao, N Fillion, J Bell Philosophia Mathematica 18 (2), 227-234, 2010 | 7 | 2010 |
Conceptual and Computational Mathematics† N Fillion Philosophia Mathematica 27 (2), 199-218, 2018 | 6 | 2018 |
Overview of critical thinking in the BC K-12 curriculum revisions N Fillion, D Martelli Simon Fraser University, 2017 | 6 | 2017 |
The Content and Logic of Imperatives N Fillion, M Lynn Axiomathes 31, 419-436, 2021 | 5 | 2021 |
Clinical equipoise and adaptive clinical trials N Fillion Topoi 38 (2), 457-467, 2019 | 5 | 2019 |
Demystifying the applicability of mathematics N Fillion Trick or Truth? The Mysterious Connection Between Physics and Mathematics …, 2016 | 5 | 2016 |
Perturbation Methods using Backward Error RM Corless, N Fillion SIAM, Philadelphia (2025 (anticipated)), 2025 | 3 | 2025 |
Semantic layering and the success of mathematical sciences N Fillion European Journal for Philosophy of Science 11 (3), 91, 2021 | 3 | 2021 |
Developing core competencies with the Ethics Bowl N Fillion Detours: Social Science Education Research Journal 1 (1), 9-9, 2020 | 3* | 2020 |
Two accounts of Aristotle’s Logic N Fillion Seminar on Aristotlian Logic, Ph. D in, 2007 | 3 | 2007 |
Épistémologie et sociologie de la connaissance N Fillion Revue Phares 6 (3), 2006 | 3 | 2006 |
Perturbation Theory N Fillion, RM Corless arXiv preprint arXiv:2212.07380, 2022 | 2 | 2022 |