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ORCIDAnthony J. Roberts
Person information
- affiliation: University of Adelaide, Australia
- affiliation (former): University of Southern Queensland, Toowoomba, QLD, Australia
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2020 – today
- 2023
[i10]Anthony J. Roberts, Thien Tran-Duc, Judith E. Bunder, Yannis G. Kevrekidis:
Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches. CoRR abs/2301.13145 (2023)- [i9]Thien Tran-Duc, J. E. Bunder, Anthony J. Roberts:
Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme. CoRR abs/2308.09226 (2023) - 2022
- [j18]John Maclean
, J. E. Bunder, Ioannis G. Kevrekidis, Anthony J. Roberts:
Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation. SIAM J. Sci. Comput. 44(4): 2557- (2022) - [i8]J. Divahar, Anthony J. Roberts, Trent W. Mattner, Judith E. Bunder, Ioannis G. Kevrekidis:
Staggered grids for multidimensional multiscale modelling. CoRR abs/2207.12623 (2022) - [i7]J. Divahar, Anthony J. Roberts, Trent W. Mattner, Judith E. Bunder, Ioannis G. Kevrekidis:
Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves. CoRR abs/2210.15823 (2022) - 2021
- [j17]John Maclean, Judith E. Bunder, Anthony J. Roberts:
A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation. Numer. Algorithms 87(4): 1729-1748 (2021) - [j16]J. E. Bunder, Ioannis G. Kevrekidis, Anthony J. Roberts:
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling. Numerische Mathematik 149(2): 229-272 (2021) - [i6]John Maclean, J. E. Bunder, Ioannis G. Kevrekidis, Anthony J. Roberts:
Adaptively detect and accurately resolve macro-scale shocks in an efficient Equation-Free multiscale simulation. CoRR abs/2108.11568 (2021) - 2020
- [i5]Anthony J. Roberts:
Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE. CoRR abs/2001.07338 (2020) - [i4]John Maclean, J. E. Bunder, Anthony J. Roberts:
A toolbox of Equation-Free functions in Matlab\Octave for efficient system level simulation. CoRR abs/2002.01895 (2020) - [i3]John Maclean, J. E. Bunder, Anthony J. Roberts:
A multiscale scheme accurately simulates macroscale shocks in an equation-free framework. CoRR abs/2002.11852 (2020) - [i2]Hassan Arbabi, Judith E. Bunder, Giovanni Samaey, Anthony J. Roberts, Ioannis G. Kevrekidis:
Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations. CoRR abs/2008.11276 (2020)
2010 – 2019
- 2019
- [i1]J. E. Bunder, J. Divahar, Ioannis G. Kevrekidis, Trent W. Mattner, Anthony J. Roberts:
Large-scale simulation of shallow water waves with computation only on small staggered patches. CoRR abs/1912.07815 (2019) - 2017
- [j15]J. E. Bunder, Anthony J. Roberts:
Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations. Appl. Math. Comput. 304: 164-179 (2017) - [j14]J. E. Bunder, Anthony J. Roberts, Ioannis G. Kevrekidis:
Good coupling for the multiscale patch scheme on systems with microscale heterogeneity. J. Comput. Phys. 337: 154-174 (2017) - 2016
- [j13]S. Borazjani, Anthony J. Roberts, Pavel G. Bedrikovetsky:
Splitting in systems of PDEs for two-phase multicomponent flow in porous media. Appl. Math. Lett. 53: 25-32 (2016) - [j12]J. E. Bunder, Anthony J. Roberts, Ioannis G. Kevrekidis:
Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations. SIAM J. Sci. Comput. 38(4) (2016) - 2015
- [b1]Anthony J. Roberts:
Model Emergent Dynamics in Complex Systems. Mathematical modeling and computation 20, SIAM 2015, ISBN 978-1-611-97355-6, pp. I-XII, 1-748 - [j11]J. E. Bunder, Anthony J. Roberts:
Numerical integration of ordinary differential equations with rapidly oscillatory factors. J. Comput. Appl. Math. 282: 54-70 (2015) - 2013
- [j10]Wei Wang, Anthony J. Roberts:
Self-Similarity and Attraction in Stochastic Nonlinear Reaction-Diffusion Systems. SIAM J. Appl. Dyn. Syst. 12(1): 450-486 (2013) - [j9]Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis, Anthony J. Roberts:
Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach. SIAM J. Appl. Dyn. Syst. 12(1): 487-514 (2013)
2000 – 2009
- 2009
- [j8]Anthony J. Roberts:
Model Dynamics across Multiple Length and Time Scales on a Spatial Multigrid. Multiscale Model. Simul. 7(4): 1525-1548 (2009) - 2007
- [j7]Anthony J. Roberts, Ioannis G. Kevrekidis:
General Tooth Boundary Conditions for Equation Free Modeling. SIAM J. Sci. Comput. 29(4): 1495-1510 (2007) - 2006
- [j6]Anthony J. Roberts:
Resolving the Multitude of Microscale Interactions Accurately Models Stochastic Partial Differential Equations. LMS J. Comput. Math. 9: 193-221 (2006) - [j5]T. MacKenzie, Anthony J. Roberts:
Accurately Model the Kuramoto-Sivashinsky Dynamics with Holistic Discretization. SIAM J. Appl. Dyn. Syst. 5(3): 365-402 (2006) - 2004
- [j4]Anthony J. Roberts:
Shear Dispersion along Circular Pipes Is Affected by Bends, but the Torsion of the Pipe Is Negligible. SIAM J. Appl. Dyn. Syst. 3(4): 433-462 (2004) - [c2]Herbert F. Jelinek, David Cornforth, Anthony J. Roberts, Gabriel Landini, Paul David Bourke, Antony W. Iorio:
Image Processing of Finite Size Rat Retinal Ganglion Cells Using Multifractal and Local Connected Fractal Analysis. Australian Conference on Artificial Intelligence 2004: 961-966 - 2003
- [j3]Anthony J. Roberts:
A holistic finite difference approach models linear dynamics consistently. Math. Comput. 72(241): 247-262 (2003) - [j2]Anthony J. Roberts, Z. Mei, Zhenquan Li:
Modelling the Dynamics of Turbulent Floods. SIAM J. Appl. Math. 63(2): 423-458 (2003) - 2002
- [c1]Roderick V. N. Melnik, Anthony J. Roberts:
Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena. International Conference on Computational Science (2) 2002: 490-499
1990 – 1999
- 1995
- [j1]Simon D. Watt, Anthony J. Roberts:
The Accurate Dynamic Modelling of Contaminant Dispersion in Channels. SIAM J. Appl. Math. 55(4): 1016-1038 (1995)
Coauthor Index
aka: Judith E. Bunder
aka: Yannis G. Kevrekidis
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