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Below are lists of my publications and talks, with "< back" links to the pages on this site where they are located. The green download links next to each item allow you to download a pdf of the item.
 

(Click here if the lists do not appear)

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Journal Articles:

  • Moir, RHC, Corless, RM, Moreno Maza, M and Xie, N. (2019) “Symbolic-Numeric Integration of Rational Functions.” Numerical Algorithms. (forthcoming)

  • Asadi, M, Brandt, A, Moir, RHC and Moreno Maza, M. (2019) “Algorithms and Data Structures for Sparse Polynomial Arithmetic.” Mathematics, 7(5), 441 DOI: 10.3390/math7050441

  • Corless, RM, Kaya, CY and Moir, RHC. (2018) “Optimal residuals and the Dahlquist test problem.” Numerical Algorithms, DOI: 10.1007/s11075-018-0624-x, pp. 1–22.

  • Fillion, N and Moir, RHC. (2018) “Explanation and Abstraction from a Backward-Error Analytic Perspective.” European Journal for Philosophy of Science, v. 8, no. 3, pp. 735–759, DOI: 10.1007/s13194-018-0208-6.

  • Bangu, S and Moir RHC (2018). “The ‘Miracle’ of Applicability? The Curious Case of the Simple Harmonic Oscillator.” Foundations of Physics, v. 48, no. 5, pp. 507–525.

Contributed Volume Articles:

  • Moir, RHC. (2019) “Effective Validity: A Generalized Logic for Approximate Inference.” In: Fillion, Nicolas, Corless, Robert and Kotsireas, Ilias (Eds.), Algorithms and Complexity in Mathematics, Epistemology and Science, Fields Institute Communications, no. 82, pp. 225–268.

  • Moir, RHC (2018). “Feasible Computation: Methodological Contributions from Computational Science.” In: Cuffaro, M and Fletcher, S (Eds.), Physical Perspectives on Computation, Computational Perspectives on Physics, Cambridge University Press, pp. 172–194.

Proceedings:

  • Asadi, M, Brandt, A, Moir, RHC and Moreno Maza, M (2018). “Sparse Polynomial Arithmetic with the BPAS Library.” In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (Eds.) Computer Algebra in Scientific Computing. CASC 2018. Lecture Notes in Computer Science, vol 11077.

  • Moir, RHC. (2013). "Rational Discovery of the Natural World: An Algebro-Geometric Response to Steiner." In: A. Cupillari (Ed.), Proceedings of the Canadian Society for History and Philosophy of Mathematics, Hartford CT, July 2013, pp. 43-59.

  • Moir, RHC. (2009). "The Conversion of Phenomena to Theory: Lessons on Applicability from the Early Development of Electromagnetism." In: A. Cupillari (Ed.), Proceedings of the Canadian Society for History and Philosophy of Mathematics, St John’s NL, June 2009, pp. 68-91.

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PhD Applied Mathematics (with Scientific Computing):

PhD Philosophy:

MSc Applied Mathematics:

  • Moir, RHC (2010). Reconsidering Backward Error Analysis for Ordinary Differential Equations. University of Western Ontario..

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Mathematics:

Software:

  • Chen, C, Covanov, S, Mansouri, F, Moir, RHC, Moreno Maza, M, Xie, N and Xie, Y (2016). “The basic polynomial algebra subprograms.” ACM Communications in Computer Algebra, v. 50, no. 3, pp. 97-100.

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Conference Presentations:

  • (2013) "Feasible Epistemology: Contributions of Applied Mathematics to Scientific Inference. PGSA Colloquium Series, Department of Philosophy, The University of Western Ontario, 16 October.
  • (2013) “Rational Discovery of the Natural World: An Algebro-Geometric Response to Steiner” MathFest 2013/Canadian Society for the History and Philosophy of Mathematics (MathFest 2013/CSHPM) Conference, Hartford CT, 1-3 August.
  • (2011) with Corless, RM. “Computation for Confirmation.” Conference on The Plurality of Numerical Methods and their Philosophical Analysis. Université Paris—Panthéon-Sorbonne, Paris, 3-4 November.
  • (2010) with Fillion, N. “Computation in Scientific Explanation,” in the course Contemporary Philosophy of Science, Department of Philosophy, University of Guelph, 17 November.
  • (2010) with Fillion, N. “Explanation and Abstraction: The Case of Backward Error Analysis” Philosophy of Science Association Biennial Meeting, Montreal, Quebec, 4-6 November.
  • (2010) with Fillion, N. “Modeling and Explanation: Lessons from Modern Error Theory.” Canadian Society for the History and Philosophy of Science (CSHPS) Conference, Concordia University, Montreal, Quebec, 28-30 May.
  • (2010) with Fillion, N. “A Step Forward with Backward Error,” PGSA Colloquium Series, Department of Philosophy, The University of Western Ontario, 12 March.
  • (2009) “The Conversion of Phenomena to Theory: Lessons on Applicability from the Development of Electromagnetism.” Canadian Mathematical Society/Canadian Society for the History and Philosophy of Mathematics (CMS/CSHPM) Conference, Memorial University, St. John’s, Newfoundland, 6-8 June.
  • (2009) “From the World to Mathematics and Back Again: What We Can Understand About Applicability from the Development of Electromagnetism.” PGSA Collo- quium Series, Department of Philosophy, The University of Western Ontario, 25 March.
  • (2008) “Theories, Models and Representation: Lessons from Solid State Physics.” Canadian Society for the History and Philosophy of Science (CSHPS) Conference, University of British Columbia, Vancouver, British Columbia, 3-5 June.
  • (2008) “Theories, Models and Representation: Lessons from Solid State Physics.” PGSA Colloquium Series, Department of Philosophy, University of Western Ontario, 12 March.
  • (2005) “Interpretations of Probability in Quantum Mechanics.” PGSA Conference, Department of Philosophy, University of Waterloo, June.

Posters

  • images/download.png(2008) "Theories, Models and Representation: Lessons from Solid State Physics.” Western Research Day, 28 March, and Arts and Humanities Research Day, 2 April.

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Conference Presentations:

  • (2014) with Corless, RM, Jeffrey, DJ. "Unwinding Paths on the Riemann Sphere for Continuous Integrals of Rational Functions." 20th Conference on Applications of Computer Algebra, Fordham University, New York City, 9-12 July.

  • (2014) with Corless, RM, Jeffrey, DJ. "Unwinding Paths on the Riemann Sphere for Continuous Integrals of Rational Functions." Encuentro de Álgebra Computacional y Aplicaciones XIV (EACA--Meeting on Computer Algebra and Applications), Institut d'Estudis Catalans, Barcelona, 18-20 June.

Posters

  • images/download.png(2011) "Dynamics Backward: Backward Error Analysis for Ordinary Differential Equations." Epistemology of Modeling & Simulation National Conference, Pittsburgh, 1-3 April.