Numerical integration of ordinary differential equations with rapidly oscillatory factors. - J. E. Bunder; Anthony J. Roberts (J. Comput. Appl. Math., 2015)

Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations. - J. E. Bunder; Anthony J. Roberts; Ioannis G. Kevrekidis (SIAM J. Sci. Comput., 2016)

Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations. - J. E. Bunder; Anthony J. Roberts (Appl. Math. Comput., 2017)

Good coupling for the multiscale patch scheme on systems with microscale heterogeneity. - J. E. Bunder; Anthony J. Roberts; Ioannis G. Kevrekidis (J. Comput. Phys., 2017)

Large-scale simulation of shallow water waves with computation only on small staggered patches. - J. E. Bunder; J. Divahar; Ioannis G. Kevrekidis; Trent W. Mattner; Anthony J. Roberts (CoRR, 2019)

A multiscale scheme accurately simulates macroscale shocks in an equation-free framework. - John Maclean; J. E. Bunder; Anthony J. Roberts (CoRR, 2020)

Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations. - Hassan Arbabi; Judith E. Bunder; Giovanni Samaey; Anthony J. Roberts; Ioannis G. Kevrekidis (CoRR, 2020)

A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation. - John Maclean; Judith E. Bunder; Anthony J. Roberts (Numer. Algorithms, 2021)

Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling. - J. E. Bunder; Ioannis G. Kevrekidis; Anthony J. Roberts (Numerische Mathematik, 2021)

Staggered grids for multidimensional multiscale modelling. - J. Divahar; Anthony J. Roberts; Trent W. Mattner; Judith E. Bunder; Ioannis G. Kevrekidis (CoRR, 2022)

Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves. - J. Divahar; Anthony J. Roberts; Trent W. Mattner; Judith E. Bunder; Ioannis G. Kevrekidis (CoRR, 2022)

Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation. - John Maclean; J. E. Bunder; Ioannis G. Kevrekidis; Anthony J. Roberts (SIAM J. Sci. Comput., 2022)

Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches. - Anthony J. Roberts; Thien Tran-Duc; Judith E. Bunder; Yannis G. Kevrekidis (CoRR, 2023)

Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme. - Thien Tran-Duc; J. E. Bunder; Anthony J. Roberts (CoRR, 2023)