Dr Judy Bunder

Program Director UniSA STEM

Mawson Lakes Campus (OC1-43)

email Judy.Bunder@unisa.edu.au

Research Degree Supervisor

About me

Many complex systems are only accurately described by fine-scale models, but for scientific and engineering applications require simulations over a macroscale domain. Large-scale simulations of these systems using fine-scale models are prohibitive in computational time and infeasible in terms of data storage requirements. To overcome these issues, I develop systematic mathematical and computational methods for compact and accurate macroscale modelling of complex systems.

UniSA STEM

Harnessing connections across science, technology, engineering and mathematics, UniSA STEM creates innovative solutions and groundbreaking developments across teaching, learning and research.

Tweets by @UniversitySA

Orcid
Scopus

Research

Outputs

Research outputs for the last seven years are shown below. Some long-standing staff members may have older outputs included. To see earlier years visit ORCID or Scopus

Open access indicates that an output is open access.

Journal Articles

Year	Output
2025	Tran-Duc, T, Bunder, J & Roberts, A 2025, 'Efficient prediction of static and dynamical responses of functional graded beams using sparse multiscale patches', Computational Mechanics, online, pp. 1-22. Open access
2024	Divahar, J, Roberts, A, Mattner, TW, Bunder, J & Kevrekidis, IG 2024, 'Staggered grids for multidimensional multiscale modelling', Computers and Fluids, vol. 271, article no. 106167 , pp. 1-18. Open access
2024	Roberts, AJ, Tran-Duc, T, Bunder, JE & Kevrekidis, Y 2024, 'Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches', The ANZIAM Journal, vol. 64 (CTAC2022), pp. C161-C177. Open access
2024	Tran-Duc, T, Bunder, J & Roberts, A 2024, 'Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme', International Journal of Solids and Structures, vol. 292, article no. 112719, pp. 1-31. Open access 3 3
2023	Divahar, J, Roberts, A, Mattner, TW, Bunder, J & Kevrekidis, IG 2023, 'Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves', Computer Methods in Applied Mechanics and Engineering, vol. 413, article no. 116133 , pp. 1-21. Open access 3 3 1
2022	Bunder, J & Roberts, A 2022, 'High-order homogenisation by learning spatial discretisations of PDEs that provably preserve self-adjointness', Partial Differential Equations in Applied Mathematics, vol. 6, article no. 100449, pp. 1-16. Open access 1
2022	Maclean, J, Bunder, J, Kevrekidis, I & Roberts, AJ 2022, 'Adaptively detect and accurately resolve macro-scale shocks in an efficient equation-free multiscale simulation', SIAM Journal on Scientific Computing, vol. 44, no. 4, pp. 1-35. Open access 2 2 1
2021	Bunder, J & Roberts, A 2021, 'Nonlinear emergent macroscale PDEs, with error bound, for nonlinear microscale systems', SN Applied Sciences, vol. 3, no. 7, pp. 1-28. Open access 1 2 1
2021	Bunder, J, Kevrekidis, I & Roberts, A 2021, 'Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling', Numerische Mathematik, vol. 149, no. 2, pp. 229-275. Open access 3 3
2021	Bunder, JE, Divahar, J, Kevrekidis, IG, Mattner, TW & Roberts, AJ 2021, 'Large-scale simulation of shallow water waves via computation only on small staggered patches', International Journal for Numerical Methods in Fluids, vol. 93, no. 4, pp. 953-977. 5 6
2021	MacLean, J, Bunder, JE, Kevrekidis, IG & Roberts, AJ 2021, 'An equation free algorithm accurately simulates macroscale shocks arising from heterogeneous microscale systems', IEEE Journal on Multiscale and Multiphysics Computational Techniques, vol. 6, article no. 9335051, pp. 8-15. 3 3
2021	Maclean, J, Bunder, J & Roberts, A 2021, 'A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation', Numerical Algorithms, vol. 87, no. 4, pp. 1729-1748. 9 7
2020	Arbabi, H, Bunder, JE, Samaey, G, Roberts, AJ & Kevrekidis, IG 2020, 'Linking machine learning with multiscale numerics: data-driven discovery of homogenized equations', Journal of Metals, vol. 72, no. 12, pp. 4444-4457. 32 29 1
2019	Edson, RA, Bunder, J, Mattner, TW & Roberts, A 2019, 'Lyapunov exponents of the Kuramoto-sivashinsky PDE', The ANZIAM Journal, vol. 61, no. 3, pp. 270-285. 25 21
2018	Chen, C, Roberts, AJ & Bunder, JE 2018, 'Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity', IMA Journal of Applied Mathematics, vol. 83, no. 3, pp. 347-379. Open access 3 1
2017	Bunder, J & Roberts, A 2017, 'Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations', Applied Mathematics and Computation, vol. 304, pp. 164-179. 5 5
2017	Bunder, J, Roberts, A & Kevrekidis, I 2017, 'Good coupling for the multiscale patch scheme on systems with microscale heterogeneity', Journal of Computational Physics, vol. 337, pp. 154-174. 13 13 1
2017	Roberts, A & Bunder, J 2017, 'Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains', IMA Journal of Applied Mathematics, vol. 85, no. 5, pp. 971-1012. Open access 6 5

Other outputs

A major focus of my research is computational equation-free macroscale modelling. This methodology interpolates small-scale, isolated simulations to extract the macroscale dynamics. To learn how to implement equation-free modelling, or to just see some examples, see our Equation-free modelling Git Hub

External engagement & recognition

Collaborations

External engagement & recognition

Collaborations

Organisation	Country
Johns Hopkins University	UNITED STATES
Ku Leuven	BELGIUM
Massachusetts Institute of Technology	UNITED STATES
Princeton University	UNITED STATES
University of Adelaide	AUSTRALIA
University of South Australia	AUSTRALIA

External engagement & recognition

Engagement/recognition	Year
Conference organising committee member ANZIAM (Australian and New Zealand Industrial and Applied Mathematics)	2024
Editor of special issue in honour of Professor Anthony Roberts ANZIAM (Australian and New Zealand Industrial and Applied Mathematics) Journal	2024
Member of nominating committee ANZIAM (Australian and New Zealand Industrial and Applied Mathematics)	2024
Member representative (South Australia) ANZIAM (Australian and New Zealand Industrial and Applied Mathematics)	2024
Editor of special issue in honour of Professor Anthony Roberts ANZIAM (Australian and New Zealand Industrial and Applied Mathematics) Journal	2023
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2023
Member of nominating committee ANZIAM (Australian and New Zealand Industrial and Applied Mathematics)	2023
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2022
Member of nominating committee ANZIAM (Australian and New Zealand Industrial and Applied Mathematics)	2022
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2021
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2020
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2019
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2018
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2017
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2016
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2015
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2014
Editorial Board Member Australia and New Zealand Industrial and Applied Mathematics	2013

Teaching & student supervision

Research degree supervision

Supervisions from 2010 shown

Thesis title	Student status
208-Mathematical modelling and computation of biofilm growth and cell death	Current
213-Mathematical modelling of the extracellular actin scavenging system	Current

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Dr Judy Bunder

About me

About me

UniSA STEM

About me

Professional Associations

Experience

Qualifications

Work history

Research

Projects

Outputs

Journal Articles

Other outputs

External engagement & recognition

Collaborations

Collaborations

External engagement & recognition

Conference organising committee member

Editor of special issue in honour of Professor Anthony Roberts

Member of nominating committee

Member representative (South Australia)

Editor of special issue in honour of Professor Anthony Roberts

Editorial Board Member

Member of nominating committee

Editorial Board Member

Member of nominating committee

Editorial Board Member

Editorial Board Member

Editorial Board Member

Editorial Board Member

Editorial Board Member

Editorial Board Member

Editorial Board Member

Editorial Board Member

Editorial Board Member

Teaching & student supervision

Courses and programs

Courses I teach

Research degree supervision

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