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Journal Articles
- 2022
[j7]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)- 2021
- [j6]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) - [j5]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) - 2017
- [j4]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) - [j3]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
- [j2]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
- [j1]J. E. Bunder, Anthony J. Roberts:
Numerical integration of ordinary differential equations with rapidly oscillatory factors. J. Comput. Appl. Math. 282: 54-70 (2015)
Informal and Other Publications
- 2023
- [i9]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) - [i8]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
- [i7]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) - [i6]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
- [i5]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
- [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) - 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)
Coauthor Index
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