Dr Robert Grundy

Honorary Reader

Researcher profile

Email

reg@st-andrews.ac.uk

Location

Mathematical Institute

 

Research areas

I have worked in a number of fields including porous media flows; blow up phenomena in nonlinear systems;theory and application of Hermite type approximation theory and currently on paradigms of internal resonance phenomena. This has specifically  involved externally forced pendula in two and three dimensions.

Selected publications

• The behaviour of a forced spherical pendulum operating in a weightless environment

  Grundy, R. E., 12 Aug 2023, In: Quarterly Journal of Mechanics & Applied Mathematics. 76, 3, p. 349-369 21 p.

  Research output: Contribution to journal › Article › peer-review

• A two-scale analysis for a spherical pendulum with a vertically vibrating pivot

  Grundy, R. E., 1 May 2021, In: Quarterly Journal of Mechanics & Applied Mathematics. 74, 2, p. 137-157 21 p.

  Research output: Contribution to journal › Article › peer-review

• The Kapitza equation for the inverted pendulum

  Grundy, R. E., May 2019, In: Quarterly Journal of Mechanics & Applied Mathematics. 72, 2, p. 261–272

  Research output: Contribution to journal › Article › peer-review

• Uniformly valid polynomial representations for boundary layer problems

  Grundy, R. E., 2009, In: Journal of Engineering Mathematics. 63, p. 339-354 15 p.

  Research output: Contribution to journal › Article › peer-review

• Hermite interpolation visits ordinary two-point boundary value problems

  Grundy, R. E., Apr 2007, In: ANZIAM Journal. 48, p. 533-552 20 p.

  Research output: Contribution to journal › Article › peer-review

• Polynomial representations for initial-boundary value problems involving the inviscid Proudman-Johnson equation

  Grundy, R. E., Nov 2006, In: Quarterly Journal of Mechanics & Applied Mathematics. 59, 4, p. 631-650 20 p.

  Research output: Contribution to journal › Article › peer-review

• The application of Hermite interpolation to the analysis of non-linear diffusive initial-boundary value problems

  Grundy, R. E., Dec 2005, In: IMA Journal of Applied Mathematics. 70, 6, p. 814-838 25 p.

  Research output: Contribution to journal › Article › peer-review

• The analysis of initial-boundary-value problems using Hermite interpolation

  Grundy, R. E., 1 May 2003, In: Journal of Computational and Applied Mathematics. 154, 1, p. 63-95 33 p.

  Research output: Contribution to journal › Article › peer-review

• The asymptotics of blow-up in inviscid Boussinesq flow and related systems

  Grundy, R. E. & Kay, A., Feb 2003, In: IMA Journal of Applied Mathematics. 68, 1, p. 47-81 35 p.

  Research output: Contribution to journal › Article › peer-review

• Exact solutions for reconnective magnetic annihilation.

  Priest, E. R., Titov, V., Grundy, R. E. & Hood, A. W., 8 Aug 2000, In: Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences. 456, 2000, p. 1821-1849 29 p.

  Research output: Contribution to journal › Article › peer-review

 

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