49. Mathematical Sciences


Title49. Mathematical Sciences
ParentANZSRC Field of Research

Latest research outputs

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Artificial Intelligence and Copula-Probabilistic Models for Early Flood Warning and Community Risk Management: Case Studies in Fiji Islands
Chand, Ravinesh. 2024. Artificial Intelligence and Copula-Probabilistic Models for Early Flood Warning and Community Risk Management: Case Studies in Fiji Islands. Masters Thesis Master of Research. University of Southern Queensland. https://doi.org/10.26192/z9y7z

Masters Thesis

The effect of laparoscopic vertical sleeve gastrectomy and laparoscopic roux-en-Y gastric bypass on gastroesophageal reflux disease: An updated meta-analysis and systematic review of 5-year post-operative data from randomized controlled trials.
Memon, Muhammed Ashraf, Osland, Emma, Yunus, Rossita Mohamad, Hoque, Zahirul, Alam, Khorshed and Khan, Shahjahan. 2024. "The effect of laparoscopic vertical sleeve gastrectomy and laparoscopic roux-en-Y gastric bypass on gastroesophageal reflux disease: An updated meta-analysis and systematic review of 5-year post-operative data from randomized controlled trials." Surgical Endoscopy: surgical and interventional techniques. https://doi.org/10.1007/s00464-024-11303-x

Article

Prediction of Sea Level Using Double Data Decomposition and Hybrid Deep Learning Model for Northern Territory, Australia
Raj, Nawin, Murali, Jaishukh, Singh-Peterson, Lila and Downs, Nathan. 2024. "Prediction of Sea Level Using Double Data Decomposition and Hybrid Deep Learning Model for Northern Territory, Australia." Mathematics. 12 (15). https://doi.org/10.3390/math12152376

Article

Highly localized horseshoe ripplons and solitons in positive dispersion media
Zhang, Zhao, Guo, Qi and Stepanyants, Yury. 2024. "Highly localized horseshoe ripplons and solitons in positive dispersion media." Wave Motion. 128. https://doi.org/10.1016/j.wavemoti.2024.103326

Article

Integrating rainfall index-based insurance with optimal crop management strategies can reduce financial risks for Australian dryland cotton farmers
Nguyen-Huy, Thong, Kath, Jarrod, Kouadio, Louis, King, Rachel, Mushtaq, Shahbaz and Barratt, Jonathan. 2024. "Integrating rainfall index-based insurance with optimal crop management strategies can reduce financial risks for Australian dryland cotton farmers." Sustainable Futures. 8. https://doi.org/10.1016/j.sftr.2024.100249

Article

Long wave propagation in canals with spatially varying cross-sections and currents
Churilov, Semyon and Stepanyants, Yury. 2024. "Long wave propagation in canals with spatially varying cross-sections and currents." Nonlinear and Modern Mathematical Physics (NMMP 2022). Tallahassee, United States 17 - 19 Jun 2022 United States. Springer. pp. 19-79 https://doi.org/10.1007/978-3-031-59539-4_2

Paper

Localized wave structures: Solitons and beyond
Ostrovsky, L., Pelinovsky, E., Shrira, V. and Stepanyants, Y.. 2024. "Localized wave structures: Solitons and beyond." Chaos: an interdisciplinary journal of nonlinear science. 34. https://doi.org/10.1063/5.0210903

Article

Frequency downshifting in decaying wavetrains on the ocean surface covered by ice floes
Slunyaev, A. V. and Stepanyants, Y. A.. 2024. "Frequency downshifting in decaying wavetrains on the ocean surface covered by ice floes." Physics of Fluids. 36 (3). https://doi.org/10.1063/5.0200538

Article

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions
Zhang, Zhao, Hu, Wencheng, Guo, Qi and Stepanyants, Yury. 2024. "Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions." Chaos: an interdisciplinary journal of nonlinear science. 34 (1). https://doi.org/10.1063/5.0175716

Article

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. I. Axisymmetric solitons and their stability
Hu, Wencheng, Zhang, Zhao, Guo, Qi and Stepanyants, Yury. 2024. "Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. I. Axisymmetric solitons and their stability." Chaos: an interdisciplinary journal of nonlinear science. 34 (1). https://doi.org/10.1063/5.0175696

Article

Scattering of gravity-capillary waves on a bottom step
Meylan, M.H. and Stepanyants, Y.A.. 2024. "Scattering of gravity-capillary waves on a bottom step." Physics of Fluids. 36 (1). https://doi.org/10.1063/5.0181237

Article

Hybrid Deep Learning Model for Wave Height Prediction in Australia's Wave Energy Region
Ahmed, Abul Abrar Masrur, Jui, S Janifer Jabin, AL-Musaylh, Mohanad S., Raj, Nawin, Saha, Reepa, Deo, Ravinesh C and Saha, Sanjoy Kumar. 2024. "Hybrid Deep Learning Model for Wave Height Prediction in Australia's Wave Energy Region." Applied Soft Computing. 150. https://doi.org/10.1016/j.asoc.2023.111003

Article

Finding exact solutions for selected nonlinear evolution differential equations
Bhanot, Rajeev P., Mohammed, Mayada G.. and Strunin, Dmitry V.. 2023. "Finding exact solutions for selected nonlinear evolution differential equations." Journal of Interdisciplinary Mathematics. 26 (7), pp. 1461-1470. https://doi.org/10.47974/JIM-1566

Article

Smoothed particle hydrodynamics simulations of microstructure induced stress overshoot in structured fluids
Le-Cao, K., Tran-Duc, T., Mai-Duy, N., Quoc Nguyen, Y., Khoo, B. C. and Phan-Thien, N.. 2023. "Smoothed particle hydrodynamics simulations of microstructure induced stress overshoot in structured fluids." Physics of Fluids. 35 (12). https://doi.org/10.1063/5.0179269

Article

Symmetry-breaking transitions in quiescent and moving solitons in fractional couplers
Strunin, Dmitry V. and Malomed, Boris A.. 2023. "Symmetry-breaking transitions in quiescent and moving solitons in fractional couplers." Physical Review E. 107 (6). https://doi.org/10.1103/PhysRevE.107.064203

Article

Numerical study of electrohydrodynamic atomization considering liquid wetting and corona discharge effects
Mai, Luan Ngoc, Vu, Trung-Hieu, Dinh, Thien Xuan, Vu, Hoai Duc, Tran, Canh-Dung, Dau, Van Thanh and Ngo, Hieu Khanh. 2023. "Numerical study of electrohydrodynamic atomization considering liquid wetting and corona discharge effects." Physics of Fluids. 35 (6). https://doi.org/10.1063/5.0151085

Article

Spatial modelling of agro-ecologically significant grassland species using the INLA-SPDE approach
Fichera, Andrew, King, Rachel, Kath, Jarrod, Cobon, David and Reardon-Smith, Kathryn. 2023. "Spatial modelling of agro-ecologically significant grassland species using the INLA-SPDE approach." Scientific Reports. 13. https://doi.org/10.1038/s41598-023-32077-7

Article

A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains
Mai-Duy, N. and Gu, Y. T.. 2023. "A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains." Engineering Analysis with Boundary Elements. 154, pp. 223-237. https://doi.org/10.1016/j.enganabound.2023.05.038

Article

Sensory methods and machine learning based damage identification of fibre-reinforced composite structures: An introductory review
Bandara, Senaka, Herath, Madhubhashitha and Epaarachchi, Jayantha. 2023. "Sensory methods and machine learning based damage identification of fibre-reinforced composite structures: An introductory review." Journal of Reinforced Plastics and Composites. 42 (21-22), pp. 1119-1146. https://doi.org/10.1177/07316844221145972

Article

Dynamics of Benjamin-Ono Solitons in a Two-Layer Ocean with a Shear Flow
Negi, Pawan, Sahoo, Trilochan, Singh, Niharika and Stepanyants, Yury. 2023. "Dynamics of Benjamin-Ono Solitons in a Two-Layer Ocean with a Shear Flow." Mathematics. 11 (15). https://doi.org/10.3390/math11153399

Article

Individual preferences, government policy, and COVID-19: A game-theoretic epidemiological analysis
Zhou, Yuxun, Rahman, Mohammad Mafizur, Khanam, Rasheda and Taylor, Brad R.. 2023. "Individual preferences, government policy, and COVID-19: A game-theoretic epidemiological analysis." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 122, pp. 401-416. https://doi.org/10.1016/j.apm.2023.06.014

Article

Numerical analysis of light transmission in dual-core waveguides
McKeiver, Joshua. 2023. Numerical analysis of light transmission in dual-core waveguides. Masters Thesis Master of Science. University of Southern Queensland. https://doi.org/10.26192/yyw1v

Masters Thesis

Creation of weakly interacting lumps by degeneration of lump chains in the KP1 equation
Zhang, Zhao, Guo, Qi and Stepanyants, Yury. 2023. "Creation of weakly interacting lumps by degeneration of lump chains in the KP1 equation." Chaos, Solitons and Fractals. 170, pp. 1-13. https://doi.org/10.1016/j.chaos.2023.113398

Article

Solitary waves and their interactions in the cylindrical Korteweg–de Vries equation
Hu, Wencheng, Ren, Jingli and Stepanyants, Y.. 2023. "Solitary waves and their interactions in the cylindrical Korteweg–de Vries equation." Symmetry. 15. https://doi.org/10.3390/sym15020413

Article

Alternative Method to Resolve the Principal–Principal Conflict—A New Perspective Based on Contract Theory and Negotiation
Zhou, Yuxun, Rahman, Mohammad Mafizur, Khanam, Rasheda and Taylor, Brad R.. 2023. "Alternative Method to Resolve the Principal–Principal Conflict—A New Perspective Based on Contract Theory and Negotiation." Mathematics. 11 (2), pp. 1-31. https://doi.org/10.3390/math11020442

Article

Estimation of papaya volume and surface area using a dual ellipsoid representation and image analysis
Scarmana, Gabriel. 2022. "Estimation of papaya volume and surface area using a dual ellipsoid representation and image analysis." Staiger, Rudolf (ed.) 27th International Federation of Surveyors International Congress (FIG 2022): Volunteering for the Future – Geospatial Excellence for a Better Living. Warsaw, Poland Warsaw, Poland.

Paper

Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation
Grimshaw, R. H. J., Smyth, N. F. and Stepanyants, Y. A.. 2021. "Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation." Physica D: Nonlinear Phenomena. 419, pp. 1-10. https://doi.org/10.1016/j.physd.2021.132867

Article

Multi-lump formations from lump chains and plane solitons in the KP1 equation
Zhang, Zhao, Yang, Xiangyu, Li, Biao, Guo, Qi and Stepanyants, Yury. 2023. "Multi-lump formations from lump chains and plane solitons in the KP1 equation." Nonlinear Dynamics. 111 (2), p. 1625–1642. https://doi.org/10.1007/s11071-022-07903-8

Article

Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations
Osman, Sheelan and Langlands, Trevor. 2022. "Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations." Fractional Calculus and Applied Analysis. 25 (6), pp. 2166-2192. https://doi.org/10.1007/s13540-022-00096-2

Article

Rules-Based and SVM-Q Methods With Multitapers and Convolution for Sleep EEG Stages Classification
Zapata, Ignacio A., Li, Yan and Wen, Peng. 2022. "Rules-Based and SVM-Q Methods With Multitapers and Convolution for Sleep EEG Stages Classification." IEEE Access. 10, pp. 71299-71310. https://doi.org/10.1109/ACCESS.2022.3188286

Article

A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation
Mai-Duy, N., Strunin, D. and Karunasena, W.. 2022. "A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation." Engineering Analysis with Boundary Elements. 143, pp. 687-699. https://doi.org/10.1016/j.enganabound.2022.07.014

Article

Fast estimation and choice of confidence interval methods for step regression
Hua, Shuangcheng, Fong, Youyi and Kath, Jarrod. 2022. "Fast estimation and choice of confidence interval methods for step regression." Environmental and Ecological Statistics. 29 (4), pp. 779-799. https://doi.org/10.1007/s10651-022-00547-2

Article

Student Performance Predictions for Advanced Engineering Mathematics Course With New Multivariate Copula Models
Nguyen-Huy, Thong, Deo, Ravinesh C., Khan, Shahjahan, Devi, Aruna, Adeyinka, Adewuyi Ayodele, Apan, Armando A. and Yaseen, Zaher Mundher. 2022. "Student Performance Predictions for Advanced Engineering Mathematics Course With New Multivariate Copula Models." IEEE Access. 10, pp. 45112 -45136. https://doi.org/10.1109/ACCESS.2022.3168322

Article

Peculiarities of resonant interactions of lump chains within the KP1 equation
Zhang, Zhao, Li, Biao, Chen, Junchao, Guo, Qi and Stepanyants, Yury. 2022. "Peculiarities of resonant interactions of lump chains within the KP1 equation." Physica Scripta: an international journal for experimental and theoretical physics. 97 (11), pp. 1-14. https://doi.org/10.1088/1402-4896/ac99aa

Article

The impact of penalty and subsidy mechanisms on the decisions of the government, businesses, and consumers during COVID-19 — Tripartite evolutionary game theory analysis
Zhou, Yuxun, Rahman, Mohammad Mafizur, Khanam, Rasheda and Taylor, Brad R.. 2022. "The impact of penalty and subsidy mechanisms on the decisions of the government, businesses, and consumers during COVID-19 — Tripartite evolutionary game theory analysis." Operations Research Perspectives. 9, pp. 1-16. https://doi.org/10.1016/j.orp.2022.100255

Article

Complex Dynamics of Solitons in Rotating Fluids
Ostrovsky, Lev A. and Stepanyants, Yury A.. 2022. "Complex Dynamics of Solitons in Rotating Fluids." Volchenkov, Dimitri and Machado, J. A. Tenreiro (ed.) Mathematical Methods in Modern Complexity Science. Switzerland. Springer. pp. 63-78

Edited book (chapter)

Lump Interactions with Plane Solitons
Stepanyants, Yu. A., Zakharov, D. V. and Zakharov, V. E.. 2022. "Lump Interactions with Plane Solitons." Radiophysics and Quantum Electronics. 64 (10), pp. 665-680. https://doi.org/10.1007/s11141-022-10169-0

Article

Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet
Slunyaev, A. V. and Stepanyants, Y. A.. 2022. "Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet." Physics of Fluids. 34. https://doi.org/10.1063/5.0100179

Article

Results and Conclusions of “Five-Year Weight Loss Outcomes in Laparoscopic Vertical Sleeve Gastrectomy (LVSG) Versus Laparoscopic Roux-en-Y Gastric Bypass (LRYGB) Procedures: A Systematic Review and Meta-analysis of Randomized Controlled Trials” Unchanged by Omission of Retracted Ruiz-Tovar et al Article
Osland, Emma J., Yunus, Rossita M., Khan, Shahjahan and Memon, Muhammed A.. 2022. "Results and Conclusions of “Five-Year Weight Loss Outcomes in Laparoscopic Vertical Sleeve Gastrectomy (LVSG) Versus Laparoscopic Roux-en-Y Gastric Bypass (LRYGB) Procedures: A Systematic Review and Meta-analysis of Randomized Controlled Trials” Unchanged by Omission of Retracted Ruiz-Tovar et al Article." Surgical Laparoscopy, Endoscopy and Percutaneous Techniques. 32 (1). https://doi.org/10.1097/SLE.0000000000001017

Letter

Copula-based statistical modelling of synoptic-scale climate indices for quantifying and managing agricultural risks in Australia
Nguyen-Huy, Thong. 2020. "Copula-based statistical modelling of synoptic-scale climate indices for quantifying and managing agricultural risks in Australia." Bulletin of the Australian Mathematical Society. 101 (1), pp. 166-169. https://doi.org/10.1017/S0004972719001217

Article