Anthony J. Roberts

31 papers Misc 1Journal 28Unranked 1

Year	Rank	Type	Title / Venue / Authors
2023	J	`jnl`	Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches. CoRR Anthony J. Roberts, Thien Tran-Duc, Judith E. Bunder, Yannis G. Kevrekidis
2023	J	`jnl`	Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme. CoRR Thien Tran-Duc, J. E. Bunder, Anthony J. Roberts
2022	J	`jnl`	Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation. SIAM J. Sci. Comput. John Maclean, J. E. Bunder, Ioannis G. Kevrekidis, Anthony J. Roberts
2022	J	`jnl`	Staggered grids for multidimensional multiscale modelling. CoRR J. Divahar, Anthony J. Roberts, Trent W. Mattner, Judith E. Bunder, Ioannis G. Kevrekidis
2022	J	`jnl`	Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves. CoRR J. Divahar, Anthony J. Roberts, Trent W. Mattner, Judith E. Bunder, Ioannis G. Kevrekidis
2021	J	`jnl`	A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation. Numer. Algorithms John Maclean, Judith E. Bunder, Anthony J. Roberts
2021	J	`jnl`	Adaptively detect and accurately resolve macro-scale shocks in an efficient Equation-Free multiscale simulation. CoRR John Maclean, J. E. Bunder, Ioannis G. Kevrekidis, Anthony J. Roberts
2021	J	`jnl`	Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling. Numerische Mathematik J. E. Bunder, Ioannis G. Kevrekidis, Anthony J. Roberts
2020	J	`jnl`	A multiscale scheme accurately simulates macroscale shocks in an equation-free framework. CoRR John Maclean, J. E. Bunder, Anthony J. Roberts
2020	J	`jnl`	A toolbox of Equation-Free functions in Matlab\Octave for efficient system level simulation. CoRR John Maclean, J. E. Bunder, Anthony J. Roberts
2020	J	`jnl`	Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations. CoRR Hassan Arbabi, Judith E. Bunder, Giovanni Samaey, Anthony J. Roberts, Ioannis G. Kevrekidis
2020	J	`jnl`	Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE. CoRR Anthony J. Roberts
2019	J	`jnl`	Large-scale simulation of shallow water waves with computation only on small staggered patches. CoRR J. E. Bunder, J. Divahar, Ioannis G. Kevrekidis, Trent W. Mattner, Anthony J. Roberts
2017	J	`jnl`	Good coupling for the multiscale patch scheme on systems with microscale heterogeneity. J. Comput. Phys. J. E. Bunder, Anthony J. Roberts, Ioannis G. Kevrekidis
2017	J	`jnl`	Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations. Appl. Math. Comput. J. E. Bunder, Anthony J. Roberts
2016	J	`jnl`	Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations. SIAM J. Sci. Comput. J. E. Bunder, Anthony J. Roberts, Ioannis G. Kevrekidis
2016	J	`jnl`	Splitting in systems of PDEs for two-phase multicomponent flow in porous media. Appl. Math. Lett. S. Borazjani, Anthony J. Roberts, Pavel G. Bedrikovetsky
2015	—	`book`	Model Emergent Dynamics in Complex Systems. Anthony J. Roberts
2015	J	`jnl`	Numerical integration of ordinary differential equations with rapidly oscillatory factors. J. Comput. Appl. Math. J. E. Bunder, Anthony J. Roberts
2013	J	`jnl`	Self-Similarity and Attraction in Stochastic Nonlinear Reaction-Diffusion Systems. SIAM J. Appl. Dyn. Syst. Wei Wang, Anthony J. Roberts
2013	J	`jnl`	Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach. SIAM J. Appl. Dyn. Syst. Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis, Anthony J. Roberts
2009	J	`jnl`	Model Dynamics across Multiple Length and Time Scales on a Spatial Multigrid. Multiscale Model. Simul. Anthony J. Roberts
2007	J	`jnl`	General Tooth Boundary Conditions for Equation Free Modeling. SIAM J. Sci. Comput. Anthony J. Roberts, Ioannis G. Kevrekidis
2006	J	`jnl`	Accurately Model the Kuramoto-Sivashinsky Dynamics with Holistic Discretization. SIAM J. Appl. Dyn. Syst. T. MacKenzie, Anthony J. Roberts
2006	J	`jnl`	Resolving the Multitude of Microscale Interactions Accurately Models Stochastic Partial Differential Equations. LMS J. Comput. Math. Anthony J. Roberts
2004	—	`conf`	Image Processing of Finite Size Rat Retinal Ganglion Cells Using Multifractal and Local Connected Fractal Analysis. Australian Conference on Artificial Intelligence Herbert F. Jelinek, David Cornforth, Anthony J. Roberts, Gabriel Landini, Paul David Bourke, Antony W. Iorio
2004	J	`jnl`	Shear Dispersion along Circular Pipes Is Affected by Bends, but the Torsion of the Pipe Is Negligible. SIAM J. Appl. Dyn. Syst. Anthony J. Roberts
2003	J	`jnl`	A holistic finite difference approach models linear dynamics consistently. Math. Comput. Anthony J. Roberts
2003	J	`jnl`	Modelling the Dynamics of Turbulent Floods. SIAM J. Appl. Math. Anthony J. Roberts, Z. Mei, Zhenquan Li
2002	Misc	`conf`	Computational Models for Materials with Shape Memory: Towards a Systematic Description of Coupled Phenomena. International Conference on Computational Science (2) Roderick V. N. Melnik, Anthony J. Roberts
1995	J	`jnl`	The Accurate Dynamic Modelling of Contaminant Dispersion in Channels. SIAM J. Appl. Math. Simon D. Watt, Anthony J. Roberts