Dr Judith Bunder

Senior Lecturer

School of Computer and Mathematical Sciences

Faculty of Sciences, Engineering and Technology

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

Many systems of interest in science and engineering exist over multiple scales, and the disparate scales of these systems are a significant challenge in numerical simulations. The fine-scale detail is essential to the accurate modelling of a multiscale system, but simulating at the finest scale is not only prohibitively inefficient and severely constrained by memory limitations, it is also an arduous task to analyse simulation data generated at a scale which may be significantly smaller than the scale of interest.

My research investigates different ways of managing the complexities of multiscale systems. For example, patch dynamics is an 'on the fly' numerical scheme which aims to quickly and accurately simulate a multiscale system at the desired scale of interest. I also look at analytic methods for extracting the slow evolution of multiscale models, thus providing a simplified model for more efficient simulation.

Career
Publications
Grants and Funding
Supervision
Contact

Education

Date Institution name Country Title
University of New South Wales Australia PhD
Research Interests

Applied Discrete Mathematics Mathematical Aspects of Condensed Matter Mathematical Sciences Mathematical Software Numerical and Computational Mathematics

Date	Institution name	Country	Title
	University of New South Wales	Australia	PhD

Journals

Year	Citation
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
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. DOI
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
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, 8-15. DOI Scopus2
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
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 Scopus2 WoS3
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 Scopus2 WoS3
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 Scopus14 WoS14
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 Scopus8 WoS7
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 Scopus2 WoS2
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 Scopus9 WoS9
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 Scopus3 WoS2
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 Scopus4 WoS4
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 Scopus13 WoS13
2012	Bunder, J., & Hill, J. (2012). Modelling the diffusive growth of carbon fullerenes. Materials Science Forum, 700, 100-103. DOI Scopus1 WoS1
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
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 Scopus48 WoS45
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 WoS3
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 Scopus2 WoS2
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 Scopus6 WoS4
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
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 Scopus10 WoS10
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 Scopus6 WoS6
2007	Bunder, J. (2007). Spin-polarized transport in dilute magnetic semiconductor tunnel junctions. Applied Physics Letters, 91(9), 1-3. DOI Scopus3 WoS2
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 Scopus21 WoS20
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
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 Scopus84 WoS86
-	Bunder, J. E., Roberts, A. J., & Kevrekidis, I. G. (n.d.). Better buffers for patches in macroscale simulation of systems with microscale randomness.
-	Sharples, J., & Bunder, J. (n.d.). Proceedings of the 17th Computational Techniques and Applications Conference. ANZIAM Journal, 55. DOI
-	McCue, S. W., Moroney, T., Mallett, D., & Bunder, J. (n.d.). Proceedings of the 16th Computational Techniques and Applications Conference. ANZIAM Journal, 54. DOI
-	Bunder, J. E., & Lin, H. -H. (n.d.). Magnetism, spin-wave relaxation and spiral exchange in a trilayer magnetic junction.
-	Roberts, A. J., MacKenzie, T., & Bunder, J. E. (n.d.). Accurate macroscale modelling of spatial dynamics in multiple dimensions.
-	Maclean, J., Bunder, J. E., Roberts, A. J., & Kevrekidis, I. G. (n.d.). A multiscale scheme accurately simulates macroscale shocks in an equation-free framework.
-	Tisdell, C. C., Jovanoski, Z., Guo, W., & Bunder, J. (n.d.). Proceedings of the 14th Engineering Mathematics and Applications Conference. ANZIAM Journal, 61. DOI
-	Divahar, J., Roberts, A. J., Mattner, T. W., Bunder, J. E., & Kevrekidis, I. G. (n.d.). Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves.
-	Bunder, J. E., & Roberts, A. J. (n.d.). Learning high-order spatial discretisations of PDEs with symmetry-preserving iterative algorithms.
-	Divahar, J., Roberts, A. J., Mattner, T. W., Bunder, J. E., & Kevrekidis, I. G. (n.d.). Staggered grids for multidimensional multiscale modelling.

Books

Year	Citation
2015	Nelson, M., Mallet, D., Pincombe, B., & Bunder, J. (Eds.) (2015). Proceedings of the 12th Engineering Mathematics and Applications Conference, (EMAC2015), Adelaide, December 2015 (Vol. 57). Australian Mathematical Society. DOI
2015	Nelson, M., Mallet, D., Pincombe, B., & Bunder, J. (Eds.) (2015). Proceedings of the 12th Engineering Mathematics and Applications Conference, (EMAC2015), Adelaide, December 2015 (Vol. 57). Australian Mathematical Society. DOI
2014	Sharples, J., & Bunder, J. (Eds.) (2014). Proceedings of 17th Computational Techniques and Applications Conference (CTAC2014), Canberra, 1-3 December, 2014. Australian Mathematical Society.
2013	Nelson, M., Bunder, J., Hamilton, T., & Jennings, M. (Eds.) (2013). Proceedings of the 11th Engineering Mathematics and Applications Conference, (EMAC2013), Brisbane, December 2013. Australian Mathematical Society.
2013	McCue, S., Moroney, T., Mallett, D., & Bunder, J. (Eds.) (2013). Proceedings of 16th Computational Techniques and Applications Conference, ANZIAM J. (CTAC2012), Queensland, 23-26 September, 2012 (Vol. 54). Australian Mathematical Society.

Conference Papers

Year	Citation
2015	Chen, C., Roberts, A., & Bunder, J. (2015). Macroscale boundary conditions for a non-linear heat exchanger. In Proceedings of 17th Computational Techniques and Applications Conference (CTAC2014), as published in ANZIAM Journal Vol. 56 (pp. C16-C31). Canberra, A.C.T.: Cambridge University Press. DOI
2014	Chen, C., Roberts, A., & Bunder, J. (2014). The macroscale boundary conditions for diffusion in a material with microscale varying diffusivities. In A. Roberts, A. Bassom, G. Hocking, M. Nelson, T. Popiel, J. Bunder, . . . AustMS (Eds.), Proceedings of 11th Engineering Mathematics and Applications Conference (EMAC2013), as published in ANZIAM Journal Vol. 55 (pp. C218-C234). Brisbane, Qld.: Cambridge University Press. DOI
2012	Bunder, J., & Roberts, A. (2012). Patch dynamics for macroscale modelling in one dimension. In ANZIAM Journal Vol. 53 (pp. 280-295). Australia: Cambridge University Press. DOI Scopus3 WoS3
1996	Dytlewski, N., Evans, P. J., Noorman, J. T., Wielunski, L. S., & Bunder, J. (1996). Heavy ion time-of-flight ERDA of high dose metal implanted germanium. In Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms Vol. 118 (pp. 278-282). ARIZONA STATE UNIV CAMPUS, TEMPE, AZ: ELSEVIER. DOI Scopus4 WoS3

2022 Australian Research Council Discovery Project, DP220103156 with Em. Prof. Tony Roberts (Adelaide) and Prof. Yannis Kevrekidis (Johns Hopkins).

2018 Australian Research Council Discovery Project, DP180100050 with Prof. Tony Roberts (Adelaide) and Prof. Yannis Kevrekidis (Johns Hopkins).

Past Higher Degree by Research Supervision (University of Adelaide)

Date	Role	Research Topic	Program	Degree Type	Student Load	Student Name
2018 - 2022	Co-Supervisor	Accurate multiscale simulation of wave-like systems	Doctor of Philosophy	Doctorate	Full Time	Mr Divahar Jayaraman
2012 - 2015	Co-Supervisor	Multiscale Modelling of Continuum and Discrete Dynamics in Materials with Complicated Microstructure	Doctor of Philosophy	Doctorate	Full Time	Dr Chen Chen

Position: Senior Lecturer
Phone: 83134846
Email: judith.bunder@adelaide.edu.au
Fax: 83133696
Campus: North Terrace
Building: Ingkarni Wardli, floor 6
Org Unit: Mathematical Sciences

Dr Judith Bunder

Education

Research Interests

Journals

Books

Conference Papers

Past Higher Degree by Research Supervision (University of Adelaide)

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