N C Freeman & R E Grundy, 'On the solution of the Boltzmann Equation for an unsteady cylindrically symmetric expansion of a monatomic gas into vacuum', J F M, 31, pp 723-736 (1968).
R E Grundy & D R Thomas, 'Spherically symmetric expansions of a fixed mass of gas into vacuum', A I A A Journal 7, pp 967-970 (1969).
R E Grundy, 'Axially symmetric expansion of a monatomic gas from an orifice into a vacuum', Phys of Fluids, 12, pp 2011-2018 (1969).
R E Grundy, 'Unsteady expansions into vacuum with spherical symmetry', J F M, 39, pp 529-546 (1969).
R E Grundy, 'Steady expansions into vacuum', Proceedings of the Euromech 19 Conference on the dynamics of Rarefied Gases, Paris (1969).
R E Grundy, 'Steady cylindrically symmetric expansion of a monatomic gas into vacuum', A I A A Journal, 7, pp 2349-2352 (1970).
R E Grundy, 'Comments on Method-of-Characteristics solution of a rarefied monatomic gaseous jet expansion into vacuum', A I A A Journal, 9, p 2302 (1970).
R E Grundy, 'On the local role of the limit line in the well posing of steady state problems in gas dynamics. Part I : One Dimensional Problems', Acta Mechanica, 16, pp 199-214 (1971).
R E Grundy, 'On the local role of the limit line in the well posing of steady state problems in gas dynamics. Part II : Two dimensional plane flow', Acta Mechanica, 17, pp 25-42 (1971).
R E Grundy, 'On the unsteady expansion of a gas into a near vacuum', J F M, 56, pp 97-100 (1972).
R E Grundy, 'Nonlinear radial wave propagation in low density expanding flows with application to the free jet', Phys. Fluids, 16, pp 801-813 (1972).
R E Grundy, 'Nonlinear wave propagation in low density expanding flows', Proceedings of the Euromech 28 Conference on the dynamics of Rarefied Gases, Brussels (1972).
R E Grundy, 'A new shock locus for similarity solutions in one dimensional unsteady gas dynamics', Solar Physics, 40, pp 227-230 (1979).
R E Grundy, 'Laplace Transform Inversion using Two-point Rational Approximants', J Inst Math Applics, 20, pp 229-306 (1977).
R E Grundy, 'Solution of Volterra integral equations of the Convolution Type using Two-point Rational Approximants', J Inst Math Applics, 22, pp 147-158 (1978).
R E Grundy, 'On the solution of Nonlinear Volterra Integral equations using Two-point Rational Approximants', J Inst Math Applics, 22, pp 317-320 (1978).
R E Grundy & R McLaughlin, 'The unsteady expansion of a gas into a non-uniform near vacuum', J F M, 81, pp 775-792 (1977).
R E Grundy, 'Borel Type sums using two-point rational approximants', J Comp Phys, 33 pp 290-293 (1979).
R E Grundy, 'Similarity solutions of the nonlinear diffusion equation', Quart App Maths, 37, pp 259-281 (1979).
R E Grundy & G M Phillips, 'Application of Hermite Approximation to a boundary value problem', J Comp Phys, 38 (1980).
R E Grundy & R McLaughlin, 'Large time solution of a nonlinear diffusion equation', Proc Roy Soc A381, pp 395-406 (1982).
R E Grundy & R McLaughlin, 'Eigenvalues of the Barenblatt-Pattle similarity solution in nonlinear diffusion', Proc Roy Soc A383, 89-100 (1982).
R E Grundy, 'The small time evolution of a nonlinear diffusion equation', IMA Journal of Applied Maths, 29, pp 1-11 (1982).
R E Grundy, 'Large time solution of an inhomogeneous nonlinear diffusion equation', Proc Roy Soc A385 pp 1-26 (1983).
Invited Review article on nonlinear diffusion in Zentralblatt fur Mathematik (Dec 1982).
R E Grundy, 'Local similarity solutions for the initial value problem in nonlinear diffusion', IMA Journal of Applied Mathematics, 30, 209-214 (1983).
R E Grundy, 'Asymptotic solution of a model nonlinear convection- diffusion equation', IMA Journal of Applied Mathematics, 31, 121-137 (1983).
R E Grundy & J W Rottman, 'The approach to self similarity of the solutions of the shallow water equations representing gravity current releases, Journal of Fluid Mechanics, 156, 39-53 (1985).
R E Grundy & J W Rottman, 'Self-similar solutions of the shallow- water equations representing gravity currents with variable inflow', Journal of Fluid Mechanics, 169, 337-351 (1986).
R E Grundy & L A Peletier, 'Short time behaviour of a singular solution to the heat equation with absorption', Proc. Roy. Soc. Edin., 107A, 271-288 (1987).
R E Grundy, 'Asymptotic solutions of a model diffusion reaction equation', IMA Journal of Appl Maths, 40, 53-72 (1988).
R E Grundy, 'The Cauchy problem for a nonlinear diffusion equation with absorption and convection'. IMA Journal of Applied Mathematics 40, 183-204, (1988).
R E Grundy & L A Peletier, 'The initial interface development for a diffusion reaction equation with power law initial data'. Q.Jl.Mech.Appl.Math.,43, Pt.4, 536-559 (1990).
R E Grundy, ' On a nonlinear diffusion equation arising in the modelling of Rock Blasting' Q. Jl. Mech. appl. Math., 43, 2, (1990).
R E Grundy & C J Van Duijn, ' The fresh-saltwater interface in a semi-pervious aquifer.' Accepted for publication in Applicable Analysis (1990).
R.E. Grundy, ' On an equation modelling flow in the Canal of Schlemm'. Math. Biosciences 98 ,2 (1990).
R.E.Grundy, with R.A.Cairns and A.W.Hood, ' The effect of clubhead weight distribution on ball-club impact' In Science and Golf, Proceedings of the First World Scientific Congress of Golf edited by A.J.Cochrane. (1990)
R.E.Grundy, 'The asymptotics of extinction in nonlinear diffusion reaction equations'J.Austral.Maths.Soc.Ser.B.33 (1992), 414-429.
R.E.Grundy, with M.Jardine, H.R.Allen & E.R.Priest ' A family of 2-D nonlinear solutions for magnetic field annihilation.' J. Geophys. Res- Space Physics. 97, 4199- 4207 (1992).
R.E.Grundy & V.A.Bell. 'Waiting time solutions of the shallow water equations.' Proc. Roy. Soc. London. Ser A. 441, 641-648. (1993).
R.E.Grundy, with M.Jardine & H.R.Allen. ' Three-Dimensional Magnetic field annihilation' Journal of Geophysical Research, 98, pp. 19409 - 19417. 1993.
R.E.Grundy, with M.Jardine & H.R.Allen. ' The role of vorticity in 3D Magnetic field annihilation.' Space Science Reviews 68 , 115-116, 1993.
R.E.Grundy, with C.J.Van Duijn & C.Dawson. 'Contaminant transport in fast reactions '. Q. Jl.Mech and Appl. Maths. 47, Pt 1,pp 69-106. 1994.
R.E.Grundy with P.L.Sachdev & C.N.Dawson. Large time solution of an initial value problem for a generalised Burgers equation. Proceedings of 'Nonlinear Diffusion Phenomena' Bangalore, India. In Nonlinear Diffusion Phenomena. Springer, New Delhi 1994.
R.E.Grundy & H.R.Allen. The asymptotic solution of a family of boundary value problems involving exponentially small terms. IMA Journal of Applied Maths, 53, pp 151-168. 1994.
R.E.Grundy, with C.J.Van Duijn & C.N.Dawson. Large time asymptotics for contaminant transport in porous media. SIAM Journal of Applied Math, 56, 965-993. 1996.
R.E.Grundy with M.Escobedo. Asymptotic profiles of a decaying contaminant in transport through a porous medium. European Jnl. of Applied Maths, 7, 395-416. 1996.
R.E.Grundy, with C.J. van Duijn. Large time profiles in reactive solute transport. Transport in Porous Media, 27, 57-84. 1997.
R.E.Grundy & R. McLaughlin. Global blow-up of separable solutions of thevorticity equation. IMA Jnl of Applied Maths, 60, 1-21. 1998.
R.E.Grundy & R. McLaughlin. Three dimensional blow-up solutions of the Navier-Stokes Equations. IMA Jnl. of Applied Maths, 63, 287-306. 1999.
R.E.Grundy & A Kay. The asymptotics of blow-up in inviscid Boussinesq flow and related systems. IMA Journal of Applied Mathematics, 68, 47-81. 2003.
R.E.Grundy. The analysis of initial-boundary-value problems using Hermite interpolation. J. Comp. Appl. Maths, 154, 63-95, 2003.
R.E.Grundy. The application of Hermite interpolation to the analysis of nonlinear diffusive initial-boundary value problems. IMA Journal of Applied Maths, 71, 814-838. 2005.
R.E.Grundy. Polynomial representations for initial-boundary value problems involving the inviscid Proudman-Johnson equation. QJMAM, 59, 630-650. 2006.
R E Grundy. Hermite interpolation visits two-point boundary value problems. ANZIAM Journal, 48(4), 533-552. 2007.
R.E. Grundy. Uniformly valid polynomial representations for boundary layer problems. J. Eng. Math., 63, 339-354. 2009.