Anthony J. Roberts

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General Tooth Boundary Conditions for Equation Free Modeling

Ioannis G. Kevrekidis, Anthony J. Roberts, I. Kevrekidis, 2006, SIAM J. Sci. Comput..

On the low-dimensional modelling of Stratonovich stochastic differential equations

Chao Xu, Anthony J. Roberts, Chao-Jiang Xu, 1996, chao-dyn/9705002.

Jiuyong Li, Anthony J. Roberts, A. J. Roberts, 2005 .

Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations

Anthony J. Roberts, J. E. Bunder, A. Roberts, 2013, Appl. Math. Comput..

Mathematical and numerical analysis of Falk-Konopka-type models for shape-memory alloys

Roderick Melnik, Anthony J. Roberts, K. A. Thomas, 2000 .

Wei Wang, Anthony J. Roberts, A. Roberts, 2011, SIAM J. Appl. Dyn. Syst..

Modelling the Dynamics of Turbulent Floods

Zhenquan Li, Anthony J. Roberts, Z. Mei, 1999, SIAM J. Appl. Math..

A holistic finite difference approach models linear dynamics consistently

Anthony J. Roberts, A. Roberts, 2000, Math. Comput..

Good coupling for the multiscale patch scheme on systems with microscale heterogeneity

Ioannis G. Kevrekidis, Anthony J. Roberts, J. E. Bunder, 2017, J. Comput. Phys..

Shear Dispersion along Circular Pipes Is Affected by Bends, but the Torsion of the Pipe Is Negligible

Anthony J. Roberts, A. Roberts, 2003, SIAM J. Appl. Dyn. Syst..

Model Dynamics across Multiple Length and Time Scales on a Spatial Multigrid

Anthony J. Roberts, 2009, Multiscale Model. Simul..

Numerical integration of ordinary differential equations with rapidly oscillatory factors

Anthony J. Roberts, J. E. Bunder, A. Roberts, 2013, J. Comput. Appl. Math..

The Accurate Dynamic Modelling of Contaminant Dispersion in Channels

Anthony J. Roberts, Simon D. Watt, 1995, SIAM J. Appl. Math..

Modeling dynamics of multilayered SMA actuators

Anthony J. Roberts, Roderick Melnik, 2001, SPIE Micro + Nano Materials, Devices, and Applications.

Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations

Ioannis G. Kevrekidis, Anthony J. Roberts, J. E. Bunder, 2016, SIAM J. Sci. Comput..

Modeling dynamics of shape memory alloys via computer algebra

Anthony J. Roberts, Roderick V. N. Melnik, Kerryn A. Thomas, 1999, Smart Structures.

Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena

Roderick V. N. Melnik, Anthony J. Roberts, A. Roberts, 2002, International Conference on Computational Science.

Low-dimensional modelling of dynamics via computer algebra

Anthony J. Roberts, A. Roberts, 1996, chao-dyn/9604012.

Image Processing of Finite Size Rat Retinal Ganglion Cells Using Multifractal and Local Connected Fractal Analysis

Herbert F. Jelinek, David Cornforth, Anthony J. Roberts, 2004, Australian Conference on Artificial Intelligence.

Accurately Model the Kuramoto-Sivashinsky Dynamics with Holistic Discretization

Anthony J. Roberts, T. MacKenzie, 2006, SIAM J. Appl. Dyn. Syst..

Equation-free computation: an overview of patch dynamics

Giovanni Samaey, Ioannis G. Kevrekidis, Anthony J. Roberts, 2009 .

Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach

Jinqiao Duan, Ioannis G. Kevrekidis, Anthony J. Roberts, 2012, SIAM J. Appl. Dyn. Syst..

Standing waves in deep water: Their stability and extreme form

Anthony J. Roberts, Geoffry N. Mercer, A. Roberts, 1992 .

Low-dimensional models of thin film fluid dynamics

Anthony J. Roberts, A. Roberts, 1996 .

Holistic discretization ensures fidelity to Burgers' equation

Anthony J. Roberts, A. Roberts, 2001 .

The application of centre-manifold theory to the evolution of system which vary slowly in space

Anthony J. Roberts, A. Roberts, 1988, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Dimensional reduction of a bushfire model

Anthony J. Roberts, R. O. Weber, S. D. Watt, 1995 .

Boundary conditions for approximate differential equations

Anthony J. Roberts, A. Roberts, 1992, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Unbiased estimation of multi-fractal dimensions of finite data sets

Anthony J. Roberts, A. Roberts, A. J. Roberts, 1996, chao-dyn/9601019.

Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics

Anthony J. Roberts, A. Roberts, 2003 .

Use the information dimension, not the Hausdorff

Anthony J. Roberts, A. Roberts, 2005, nlin/0512014.

Highly nonlinear short-crested water waves

Anthony J. Roberts, A. Roberts, 1983, Journal of Fluid Mechanics.

Nonlinear Analysis of Rubber-Based Polymeric Materials with Thermal Relaxation Models

Anthony J. Roberts, Dmitry V. Strunin, Roderick Melnik, 2005 .

On the observability of finite-depth short-crested water waves

Anthony J. Roberts, Mansour Ioualalen, Christian Kharif, 1996 .

Centre manifolds of forced dynamical systems

Stephen M. Cox, Anthony J. Roberts, 1991, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Stability Regimes of Finite Depth Short-Crested Water Waves

Anthony J. Roberts, Mansour Ioualalen, Christian Kharif, 1999 .

Computing dynamics of copper-based SMA via centre manifold reduction of 3D models

Anthony J. Roberts, Roderick Melnik, K. A. Thomas, 2000 .

Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems

Anthony J. Roberts, A. Roberts, 1989, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena

Anthony J. Roberts, Roderick Melnik, A. Roberts, 2001 .

Holistic discretisation ensures fidelity to Burger's equation

Anthony J. Roberts, 2001 .

The calculation of nonlinear short‐crested gravity waves

Anthony J. Roberts, Leonard W. Schwartz, 1983 .

The invariant manifold of beam deformations

Anthony J. Roberts, A. Roberts, 1993 .

Patch dynamics for macroscale modelling in one dimension

Anthony J. Roberts, J. E. Bunder, 2012 .

TRANSIENT FREE-SURFACE FLOWS GENERATED BY A MOVING VERTICAL PLATE

Anthony J. Roberts, A. Roberts, 1987 .

Coupled thermomechanical waves in hyperbolic thermoelasticity

Anthony J. Roberts, Dmitry V. Strunin, Roderick Melnik, 2001 .

A stable and accurate numerical method to calculate the motion of a sharp interface between fluids

Anthony J. Roberts, A. Roberts, 1983 .

The utility of an invariant manifold description of the evolution of a dynamical system

Anthony J. Roberts, A. Roberts, 1989 .

Thermomechanical behaviour of thermoelectric SMA actuators

Anthony J. Roberts, Roderick Melnik, 2001 .

Modelling nonlinear dynamics of shape‐memory‐alloys with approximate models of coupled thermoelasticity

Anthony J. Roberts, Roderick Melnik, A. Roberts, 2003 .

Computer algebra derives correct initial conditions for low-dimensional dynamical models

Anthony J. Roberts, 2000 .

The construction of zonal models of dispersion in channels via matched centre manifolds

Anthony J. Roberts, S. D. Watt, S. Watt, 1994, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Simple examples of the derivation of amplitude equations for systems of equations possessing bifurcations

Anthony J. Roberts, 1985, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Higher order accuracy in the gap-tooth scheme for large-scale dynamics using microscopic simulators

Ioannis G. Kevrekidis, Anthony J. Roberts, 2005 .

Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models

Anthony J. Roberts, Roderick Melnik, K. A. Thomas, 2002 .

A complete model of shear dispersion in pipes

Anthony J. Roberts, Geoffry N. Mercer, A. Roberts, 1994 .

An analysis of near-marginal, mildly penetrative convection with heat flux prescribed on the boundaries

Anthony J. Roberts, A. Roberts, 1985, Journal of Fluid Mechanics.