| 2025 |
Tran-Duc, T., Bunder, J. E., & Roberts, A. J. (2025). Efficient prediction of static and dynamical responses of functional graded beams using sparse multiscale patches. Computational Mechanics, 76(3), 567-588.
DOI Scopus3 WoS3 |
| 2025 |
Bunder, J. E. (2025). EDITORIAL: SPECIAL ISSUE IN HONOUR OF PROFESSOR ANTHONY ROBERTS. Anziam Journal, 67, 3 pages.
DOI |
| 2024 |
Divahar, J., Roberts, A. J., Mattner, T. W., Bunder, J. E., & Kevrekidis, I. G. (2024). Staggered grids for multidimensional multiscale modelling. Computers and Fluids, 271(106167), 106167-1-106167-18.
DOI Scopus1 WoS1 |
| 2024 |
Tran-Duc, T., Bunder, J. E., & Roberts, A. J. (2024). Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme. International Journal of Solids and Structures, 292(112719), 112719-1-112719-15.
DOI Scopus5 WoS5 |
| 2023 |
Divahar, J., Roberts, A. J., Mattner, T. W., Bunder, J. E., & Kevrekidis, I. G. (2023). Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves. Computer Methods in Applied Mechanics and Engineering, 413(116133), 1-21.
DOI Scopus4 WoS4 |
| 2022 |
Roberts, A. J., Tran-Duc, T., Bunder, J. E., & Kevrekidis, Y. (2022). Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches. Proceedings of the 21st Biennial Computational Techniques and Applications Conference (CTAC2022), as published in ANZIAM Journal, 64, C161-C177.
DOI |
| 2022 |
Maclean, J., Bunder, J. E., Kevrekidis, I. G., & Roberts, A. J. (2022). Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation. SIAM Journal on Scientific Computing, 44(4), A2557-A2581.
DOI Scopus3 WoS3 |
| 2022 |
Bunder, J. E., & Roberts, A. J. (2022). Learning high-order spatial discretisations of PDEs with
symmetry-preserving iterative algorithms. |
| 2022 |
Bunder, J. E., & Roberts, A. J. (2022). High-order homogenisation by learning spatial discretisations of PDEs that provably preserve self-adjointness. Partial Differential Equations in Applied Mathematics, 6(100449), 1-16.
DOI Scopus1 |
| 2021 |
Maclean, J., Bunder, J. E., Kevrekidis, I. G., & Roberts, A. J. (2021). An Equation Free algorithm accurately simulates macroscale shocks arising from heterogeneous microscale systems. IEEE Journal on Multiscale and Multiphysics Computational Techniques, 6(9335051), 8-15.
DOI Scopus3 WoS3 |
| 2021 |
Bunder, J. E., Divahar, J., Kevrekidis, I. G., Mattner, T. W., & Roberts, A. J. (2021). Large‐scale simulation of shallow water waves via computation only on small staggered patches. International Journal for Numerical Methods in Fluids, 93(4), 953-977.
DOI Scopus5 WoS6 |
| 2021 |
Maclean, J., Bunder, J. E., & Roberts, A. J. (2021). A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation. Numerical Algorithms, 87(4), 1729-1748.
DOI Scopus10 WoS8 |
| 2021 |
Bunder, J. E., Kevrekidis, I. G., & Roberts, A. J. (2021). Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling. Numerische Mathematik, 149(2), 229-272.
DOI Scopus4 WoS4 |
| 2021 |
Bunder, J. E., & Roberts, A. J. (2021). Nonlinear emergent macroscale PDEs, with error bound, for nonlinear microscale systems. SN Applied Sciences, 3(7), 703-1-703-28.
DOI Scopus1 WoS2 |
| 2020 |
Arbabi, H., Bunder, J. E., Samaey, G., Roberts, A. J., & Kevrekidis, I. G. (2020). Linking machine learning with multiscale numerics: data-driven discovery of homogenized equations. JOM, 72(12), 4444-4457.
DOI Scopus38 WoS35 |
| 2020 |
Maclean, J., Bunder, J. E., Roberts, A. J., & Kevrekidis, I. G. (2020). A multiscale scheme accurately simulates macroscale shocks in an
equation-free framework. |
| 2019 |
Edson, R. A., Bunder, J. E., Mattner, T. W., & Roberts, A. J. (2019). Lyapunov exponents of the Kuramoto-Sivashinksy PDE. The ANZIAM Journal, 61(3), 270-285.
DOI Scopus32 WoS29 |
| 2018 |
Chen, C., Roberts, A. J., & Bunder, J. E. (2018). Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity. IMA Journal of Applied Mathematics, 83(3), 347-379.
DOI Scopus3 WoS3 |
| 2017 |
Bunder, J., Roberts, A., & Kevrekidis, I. (2017). Good coupling for the multiscale patch scheme on systems with microscale heterogeneity. Journal of Computational Physics, 337, 154-174.
DOI Scopus14 WoS14 |
| 2017 |
Roberts, A., & Bunder, J. (2017). Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains. IMA Journal of Applied Mathematics, 82(5), 971-1012.
DOI Scopus7 WoS6 |
| 2017 |
Bunder, J., & Roberts, A. (2017). Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations. Applied Mathematics and Computation, 304, 164-179.
DOI Scopus5 WoS5 |
| 2016 |
Bunder, J., Roberts, A., & Kevrekidis, I. (2016). Accuracy of patch dynamics with mesoscale temporal coupling for efficient massively parallel simulations. SIAM Journal on Scientific Computing, 38(4), C335-C371.
DOI Scopus5 WoS5 |
| 2015 |
Bunder, J., & Hill, J. (2015). General model for diffusive growth of nanostructures. IMA Journal of Applied Mathematics, 80(2), 235-254.
DOI |
| 2015 |
Bunder, J., & Roberts, A. (2015). Numerical integration of ordinary differential equations with rapidly oscillatory factors. Journal of Computational and Applied Mathematics, 282, 54-70.
DOI Scopus2 WoS2 |
| 2014 |
Roberts, A., MacKenzie, T., & Bunder, J. (2014). A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions. Journal of Engineering Mathematics, 86(1), 175-207.
DOI Scopus18 WoS18 |
| 2013 |
Bunder, J. E., Roberts, A. J., & Kevrekidis, I. G. (2013). Better buffers for patches in macroscale simulation of systems with
microscale randomness. |
| 2012 |
Bunder, J., & Hill, J. (2012). Geometric influence on Ruderman-Kittel-Kasuya-Yosida interactions in zigzag carbon nanotubes. Journal of Chemical Physics, 136(15), 154504-1-154504-6.
DOI Scopus7 WoS5 |
| 2011 |
Roberts, A. J., MacKenzie, T., & Bunder, J. E. (2011). Accurate macroscale modelling of spatial dynamics in multiple dimensions. |
| 2010 |
Bunder, J., & Hill, J. (2010). Electronic properties of carbon nanotubes with distinct bond lengths. Journal of Applied Physics, 107(2), 023511-1-023511-5.
DOI Scopus2 WoS3 |
| 2009 |
Bunder, J., & Lin, H. (2009). Ruderman-Kittel-Kasuya-Yosida interactions on a bipartite lattice. Physical Review B (Condensed Matter and Materials Physics), 80(15), 1-4.
DOI Scopus50 WoS47 |
| 2009 |
Yeo, S., Bunder, J., Lin, H., Jung, M., & Lee, S. (2009). Concurrent magnetic and metal-insulator transitions in Eu₁₋ₓSmₓB₆ single crystals. Applied Physics Letters, 94(4), 042509-1-042509-3.
DOI Scopus3 WoS3 |
| 2009 |
Bunder, J., & Hill, J. (2009). Diffusive growth of fullerenes and carbon nanotubes. Journal of Chemical Physics, 131(24), 244703-1-244703-5.
DOI Scopus3 WoS3 |
| 2009 |
Bunder, J., & Hill, J. (2009). Zigzag carbon nanotubes with generic electron-electron interactions. Physical Review B (Condensed Matter and Materials Physics), 80(15), 1-4.
DOI Scopus7 WoS5 |
| 2009 |
Bunder, J., & Hill, J. (2009). Electronic properties of silicon nanotubes with distinct bond lengths. Physical Review B (Condensed Matter and Materials Physics), 79(23), online (4 pages).
DOI Scopus12 WoS12 |
| 2009 |
Bunder, J., & Lin, H. (2009). Generic short-range interactions in two-leg ladders. Physical Review B (Condensed Matter and Materials Physics), 79(4), 1-11.
DOI Scopus4 WoS4 |
| 2008 |
Bunder, J., & Lin, H. (2008). Phase diagrams of the metallic zigzag carbon nanotube. Physical Review B (Condensed Matter and Materials Physics), 78(3), 1-15.
DOI Scopus11 WoS11 |
| 2007 |
Bunder, J., & Lin, H. (2007). Dynamical symmetry enlargement in metallic zigzag carbon nanotubes. Physical Review B (Condensed Matter and Materials Physics), 75(7), 1-7.
DOI Scopus7 WoS7 |
| 2007 |
Bunder, J. (2007). Spin-polarized transport in dilute magnetic semiconductor tunnel junctions. Applied Physics Letters, 91(9), 1-3.
DOI Scopus4 WoS3 |
| 2007 |
Bunder, J., Efetov, K., Kravtsov, V., Yevtushenko, O., & Zirnbauer, M. (2007). Superbosonization formula and its application to random matrix theory. Journal of Statistical Physics, 129(5-6), 809-832.
DOI Scopus22 WoS21 |
| 2006 |
Bunder, J., Sun, S., & Lin, H. (2006). Spin-wave relaxation in diluted magnetic semiconductors within the self-consistent Green's function approach. Applied Physics Letters, 89(7), 1-3.
DOI Scopus6 WoS6 |
| 2006 |
Bunder, J. E., & Lin, H. -H. (2006). Magnetism, spin-wave relaxation and spiral exchange in a trilayer
magnetic junction. |
| 2004 |
Bunder, J., & Efetov, K. (2004). Nonlinear σ model for odd-frequency triplet superconductivity in superconductor/ferromagnet structures. Physical Review B (Condensed Matter and Materials Physics), 70(13), 1-7.
DOI Scopus1 WoS1 |
| 2001 |
Bunder, J. E., & McKenzie, R. H. (2001). Derivation of the probability distribution function for the local density of states of a disordered quantum wire via the replica trick and supersymmetry. Nuclear Physics B, 592(3), 445-478.
DOI Scopus7 WoS6 |
| 1999 |
Bunder, J. E., & Mc Kenzie, R. H. (1999). Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field. Physical Review B Condensed Matter and Materials Physics, 60(1), 344-358.
DOI Scopus97 WoS99 |
| - |
Sharples, J., & Bunder, J. (2015). Proceedings of the 17th Computational Techniques and Applications Conference. ANZIAM Journal, 55.
DOI |
| - |
McCue, S. W., Moroney, T., Mallett, D., & Bunder, J. (2013). Proceedings of the 16th Computational Techniques and Applications Conference. ANZIAM Journal, 54.
DOI |
| - |
Tisdell, C. C., Jovanoski, Z., Guo, W., & Bunder, J. (2020). Proceedings of the 14th Engineering Mathematics and Applications Conference. ANZIAM Journal, 61.
DOI |
| - |
Edson, R. A., Bunder, J. E., Mattner, T. W., & Roberts, A. J. (2019). Lyapunov exponents of the Kuramoto--Sivashinsky PDE. ANZIAM Journal, 61, 270-285.
DOI |
| - |
Moroney, T., Carr, E., Yang, Q., Challis, V., & Bunder, J. (2023). Proceedings of the 2022 Computational Techniques and Applications Conference. ANZIAM Journal, 64.
DOI |
