| Exponential time differencing for stiff systems SM Cox, PC Matthews Journal of Computational Physics 176 (2), 430-455, 2002 | 1024 | 2002 |
| Phase diagram for the collective behavior of limit-cycle oscillators PC Matthews, SH Strogatz Physical review letters 65 (14), 1701, 1990 | 298 | 1990 |
| Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping SH Strogatz, RE Mirollo, PC Matthews Physical review letters 68 (18), 2730, 1992 | 294 | 1992 |
| Dynamics of a large system of coupled nonlinear oscillators PC Matthews, RE Mirollo, SH Strogatz Physica D: Nonlinear Phenomena 52 (2-3), 293-331, 1991 | 264 | 1991 |
| Pattern formation with a conservation law PC Matthews, SM Cox Nonlinearity 13 (4), 1293, 2000 | 123 | 2000 |
| Photospheric convection in strong magnetic fields NO Weiss, DP Brownjohn, PC Matthews, MRE Proctor Monthly Notices of the Royal Astronomical Society 283 (4), 1153-1164, 1996 | 97 | 1996 |
| Nonlinear compressible convection in oblique magnetic fields NE Hurlburt, PC Matthews, MRE Proctor The Astrophysical Journal 457, 933, 1996 | 82 | 1996 |
| Compressible magnetoconvection in three dimensions: planforms and nonlinear behaviour PC Matthews, MRE Proctor, NO Weiss Journal of Fluid Mechanics 305, 281-305, 1995 | 77 | 1995 |
| Magnetic buoyancy, vorticity, and three-dimensional flux-tube formation PC Matthews, DW Hughes, MRE Proctor The Astrophysical Journal 448, 938, 1995 | 76 | 1995 |
| Dynamic instabilities in scalar neural field equations with space-dependent delays NA Venkov, S Coombes, PC Matthews Physica D: Nonlinear Phenomena 232 (1), 1-15, 2007 | 75 | 2007 |
| Vector calculus PC Matthews Springer Science & Business Media, 2012 | 72 | 2012 |
| Solar heating and its influence on mixing in ice‐covered lakes PC Matthews, SI Heaney Freshwater Biology 18 (1), 135-149, 1987 | 67 | 1987 |
| A model for the onset of penetrative convection PC Matthews Journal of Fluid Mechanics 188, 571-583, 1988 | 65 | 1988 |
| New instabilities in two-dimensional rotating convection and magnetoconvection SM Cox, PC Matthews Physica D: Nonlinear Phenomena 149 (3), 210-229, 2001 | 58 | 2001 |
| One-dimensional pattern formation with Galilean invariance near a stationary bifurcation PC Matthews, SM Cox Physical Review E 62 (2), R1473, 2000 | 54 | 2000 |
| Solar Magnetoconvection–(invited review) NE Hurlburt, PC Matthews, AM Rucklidge Solar Physics 192 (1-2), 109-118, 2000 | 52 | 2000 |
| Analysis of the shearing instability in nonlinear convection and magnetoconvection AM Rucklidge, PC Matthews Nonlinearity 9 (2), 311, 1996 | 50 | 1996 |
| Compressible magnetoconvection in three dimensions: pattern formation in a strongly stratified layer AM Rucklidge, NO Weiss, DP Brownjohn, PC Matthews, MRE Proctor Journal of Fluid Mechanics 419, 283-323, 2000 | 49 | 2000 |
| Compressible magnetoconvection in oblique fields: linearized theory and simple nonlinear models PC Matthews, NE Hurlburt, MRE Proctor, DP Brownjohn Journal of Fluid Mechanics 240, 559-569, 1992 | 47 | 1992 |
| Pattern formation on a sphere PC Matthews Physical Review E 67 (3), 036206, 2003 | 44 | 2003 |
