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- Australian Standard Research Classification (4881)
- 230000 Mathematical Sciences (172)
- 230100 Mathematics (76)
**230113 Dynamical Systems**(21)

- 230100 Mathematics (76)

- 230000 Mathematical Sciences (172)

Group by: Authors Name | Item Type

Number of items at this level: **21**.

Georgiev, D. J. and Roberts, A. J. and Strunin, D. V.
(2009)
*Modelling turbulent flow from dam break using slow manifolds.*
Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50 (S).
C1033-C1051.
ISSN 1446-1811

Georgiev, Dian J. and Roberts, A. J. and Strunin, Dmitry V.
(2007)
*Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model.*
Discrete and Continuous Dynamical Systems Series A, 2007 (Specia).
pp. 419-428.
ISSN 1078-0947

Georgiev, Dian J. and Roberts, A. J. and Strunin, Dmitry V.
(2006)
*The dynamics of the vertical structure of turbulence in flood flows.*
ANZIAM Journal (Australian & New Zealand Industrial and Applied Mathematics Journal), 48 (CTAC-2).
C573-C590.
ISSN 1446-8735

Henry, B. I. and Langlands, Trevor and Straka, P.
(2010)
*An introduction to fractional diffusion.*
In: Proceedings of the 22nd Canberra International Physics Summer School, 8-19 Dec 2008, Canberra, Australia.

MacKenzie, T. and Roberts, A. J.
(2006)
*Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation.*
SIAM Journal on Applied Dynamical Systems, 5 (3).
pp. 365-402.

Mei, Z. and Roberts, A. J. and Li, Zhenquan
(2002)
*Modelling the dynamics of turbulent floods.*
SIAM Journal on Applied Mathematics, 63 (2).
pp. 423-458.
ISSN 0036-1399

Melnik, R. V. N. and Roberts, A. J. and Thomas, K. A.
(2001)
*Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena.*
Mechanics Research Communications, 28 (6).
pp. 637-651.
ISSN 0093-6413

Roberts, A. J.
(2003)
*A holistic finite difference approach models linear dynamics consistently.*
Mathematics of Computation, 72 (241).
pp. 247-262.
ISSN 0025-5718

Roberts, A. J.
(2006)
*Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation.*
Technical Report.
University of Southern Queensland, Faculty of Sciences, Department of Maths and Computing, Toowoomba, Australia.
(Unpublished)

Roberts, A. J.
(2008)
*Computer algebra derives discretisations via self-adjoint multiscale modelling.*
Unpublished.
(Unpublished)

Roberts, A. J.
(2007)
*Computer algebra derives normal forms of stochastic differential equations.*
Technical Report.
University of Southern Queensland, Faculty of Sciences, Department of Maths and Computing, Toowoomba, Australia.
(Unpublished)

Roberts, A. J.
(2008)
*Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure.*
Technical Report.
University of Southern Queensland, Toowoomba, Australia.
(Unpublished)

Roberts, A. J.
(2007)
*Computer algebra models dynamics on a multigrid across multiple length and time scales.*
Technical Report.
UNSPECIFIED.
(Unpublished)

Roberts, A. J.
(2007)
*Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids.*
Technical Report.
University of Southern Queensland.
(Unpublished)

Roberts, A. J.
(2005)
*Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations.*
Technical Report.
University of Southern Queensland, Faculty of Sciences, Department of Maths and Computing, Toowoomba, Australia.
(Unpublished)

Roberts, A. J.
(2008)
*Normal form transforms separate slow and fast modes in stochastic dynamical systems.*
Physica A: Statistical Mechanics and Its Applications, 387 (1).
pp. 12-38.
ISSN 0378-4371

Roberts, A. J.
(2006)
*Resolving the multitude of microscale interactions accurately models stochastic partial differential equations.*
LMS Journal of Computation and Mathematics, 9.
pp. 193-221.

Roberts, A. J.
(2008)
*The inertial dynamics of thin film flow of non-Newtonian fluids.*
Physics Letters Section A: General, Atomic and Solid State Physics, 372 (10).
pp. 1607-1611.
ISSN 0375-9601

Roberts, A. J. and Kevrekidis, I. G.
(2007)
*General tooth boundary conditions for equation free modeling.*
SIAM Journal on Scientific Computing, 29 (4).
pp. 1495-1510.
ISSN 1064-8275

Strunin, D. V.
(2008)
*Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet.*
Bulletin of the Belgian Mathematical Society: Simon Stevin, 15 (5).
pp. 935-946.
ISSN 1370-1444

Strunin, D. V.
(2009)
*Phase equation with nonlinear excitation for nonlocally coupled oscillators.*
Physica D: Nonlinear Phenomena, 238 (18).
pp. 1909-1916.
ISSN 0167-2789