Anthony J. Roberts

Publication Activity (10 Years)

Years Active: 1995-2023
Publications (10 Years): 18

Top Topics

Differential Equations

Wavelet Shrinkage

Ambrosio Tortorelli

Top Venues

SIAM J. Sci. Comput.

Appl. Math. Lett.

J. Comput. Phys.

Publications

Thien Tran-Duc, J. E. Bunder, Anthony J. Roberts
Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme. CoRR (2023)
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 (2023)
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 (2022)
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) (2022)
J. Divahar, Anthony J. Roberts, Trent W. Mattner, Judith E. Bunder, Ioannis G. Kevrekidis
Staggered grids for multidimensional multiscale modelling. CoRR (2022)
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) (2021)
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 (2021)
John Maclean, J. E. Bunder, Anthony J. Roberts
A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation. Numer. Algorithms 87 (4) (2021)
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 (2020)
Anthony J. Roberts
Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE. CoRR (2020)
John Maclean, J. E. Bunder, Anthony J. Roberts
A multiscale scheme accurately simulates macroscale shocks in an equation-free framework. CoRR (2020)
John Maclean, J. E. Bunder, Anthony J. Roberts
A toolbox of Equation-Free functions in Matlab\Octave for efficient system level simulation. CoRR (2020)
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 (2019)
J. E. Bunder, Anthony J. Roberts
Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations. Appl. Math. Comput. 304 (2017)
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 (2017)
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 (2016)
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)
J. E. Bunder, Anthony J. Roberts
Numerical integration of ordinary differential equations with rapidly oscillatory factors. J. Comput. Appl. Math. 282 (2015)
Wei Wang, Anthony J. Roberts
Self-Similarity and Attraction in Stochastic Nonlinear Reaction-Diffusion Systems. SIAM J. Appl. Dyn. Syst. 12 (1) (2013)
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) (2013)
Anthony J. Roberts
Model Dynamics across Multiple Length and Time Scales on a Spatial Multigrid. Multiscale Model. Simul. 7 (4) (2009)
Anthony J. Roberts, Ioannis G. Kevrekidis
General Tooth Boundary Conditions for Equation Free Modeling. SIAM J. Sci. Comput. 29 (4) (2007)
T. MacKenzie, Anthony J. Roberts
Accurately Model the Kuramoto-Sivashinsky Dynamics with Holistic Discretization. SIAM J. Appl. Dyn. Syst. 5 (3) (2006)
Anthony J. Roberts
Resolving the Multitude of Microscale Interactions Accurately Models Stochastic Partial Differential Equations. LMS J. Comput. Math. 9 (2006)
Herbert F. Jelinek, David Cornforth, Anthony J. Roberts, Gabriel Landini, Paul D. 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)
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) (2004)
Anthony J. Roberts
A holistic finite difference approach models linear dynamics consistently. Math. Comput. 72 (241) (2003)
Anthony J. Roberts, Z. Mei, Zhenquan Li
Modelling the Dynamics of Turbulent Floods. SIAM J. Appl. Math. 63 (2) (2003)
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)
Simon D. Watt, Anthony J. Roberts
The Accurate Dynamic Modelling of Contaminant Dispersion in Channels. SIAM J. Appl. Math. 55 (4) (1995)