4901. Applied mathematics
| Title | 4901. Applied mathematics |
|---|---|
| Parent | 49. Mathematical Sciences |
Latest research outputs
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Symmetry restoration in collisions of solitons in fractional couplers
Strunin, Dmitry V., Malomed, Boris A. and McKeiver, Joshua L.. 2024. "Symmetry restoration in collisions of solitons in fractional couplers." Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. https://doi.org/10.1017/S1446181124000245Article
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/math12152376Article
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.2024.103326Article
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_2Paper
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/10.1063/5.0210903Article
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/10.1063/5.0200538Article
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/10.1063/5.0175716Article
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/10.1063/5.0175696Article
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/10.1063/5.0181237Article
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.2023.111003Article
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-1566Article
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.107.064203Article
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/math11153399Article
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.2023.06.014Article
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.2023.113398Article
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/sym15020413Article
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/math11020442Article
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.2021.132867Article
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/s11071-022-07903-8Article
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/s13540-022-00096-2Article
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/ac99aaArticle
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.2022.100255Article
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. 63-78Edited 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/s11141-022-10169-0Article
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/10.1063/5.0100179Article
Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile
Boral, Susam, Sahoo, Trilochan and Stepanyants, Yury. 2021. "Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile." Fluids. 6 (12), pp. 1-18. https://doi.org/10.3390/fluids6120458Article
Dynamics of internal envelope solitons in a rotating fluid of a variable depth
Stepanyants, Yury. 2019. "Dynamics of internal envelope solitons in a rotating fluid of a variable depth." Fluids. 4 (1), pp. 1-12. https://doi.org/10.3390/fluids4010056Article
Application of Bi-Directional Grid Constrained Stochastic Processes to Algorithmic Trading
Taranto, Aldo and Khan, Shahjahan. 2021. "Application of Bi-Directional Grid Constrained Stochastic Processes to Algorithmic Trading." Journal of Mathematics and Statistics. 17 (1), pp. 22-29. https://doi.org/10.3844/jmssp.2021.22.29Article
Neutrosophic Recommender System for Medical Diagnosis Based on Algebraic Similarity Measure and Clustering
Thanh, Nguyen Dang, Son, Le Hoang and Ali, Mumtaz. 2017. "Neutrosophic Recommender System for Medical Diagnosis Based on Algebraic Similarity Measure and Clustering." 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). Naples, Italy 09 - 12 Jul 2017 Piscataway, United States. https://doi.org/10.1109/FUZZ-IEEE.2017.8015387Paper
Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method
Ho, Phuc L. H., Le, Canh V. and Tran-Cong, T.. 2018. "Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 53, pp. 1-11. https://doi.org/10.1016/j.apm.2017.08.006Article
Symmetric interactions of plane solitons in two-dimensional nonlinear lattices
Nikitenkova, Svetlana and Stepanyants, Yury. 2022. "Symmetric interactions of plane solitons in two-dimensional nonlinear lattices." Communications in Nonlinear Science and Numerical Simulation. 114, pp. 1-10. https://doi.org/10.1016/j.cnsns.2022.106602Article
Degenerate lump interactions within the Kadomtsev-Petviashvili equation
Zhang, Zhao, Li, Biao, Chen, Junchao, Guo, Qi and Stepanyants, Yury. 2022. "Degenerate lump interactions within the Kadomtsev-Petviashvili equation." Communications in Nonlinear Science and Numerical Simulation. 112, pp. 1-14. https://doi.org/10.1016/j.cnsns.2022.106555Article
Elastic scattering based on integral equation theory for potentials including the Coulomb potential
Jayasinghe, W. J. M. L. P.. 2015. "Elastic scattering based on integral equation theory for potentials including the Coulomb potential." 7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015). Sri Lanka 05 Aug 2015 Sri Lanka.Paper
Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2
Churilov, Semyon M. and Stepanyants, Yury A.. 2022. "Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2." Journal of Fluid Mechanics. 939, pp. 1-12. https://doi.org/10.1017/jfm.2022.208Article
Multiscale simulation of coupled length-scales via meshless method and molecular dynamics
Wang, Q. X., Ng, T. Y., Li, Hua and Lam, K. Y.. 2009. "Multiscale simulation of coupled length-scales via meshless method and molecular dynamics." Mechanics of Advanced Materials and Structures. 16 (1), pp. 1-11. https://doi.org/10.1080/15376490802540242Article
A new data-driven topology optimization framework for structural optimization
Zhou, Ying, Zhan, Haifei, Zhang, Weihong, Zhu, Jihong, Bai, Jinshuai, Wang, Qingxia and Gu, Yuantong. 2020. "A new data-driven topology optimization framework for structural optimization." Computers and Structures. 239, pp. 1-16. https://doi.org/10.1016/j.compstruc.2020.106310Article
Reflectionless wave propagation on shallow water with variable bathymetry and current
Churilov, Semyon M. and Stepanyants, Yury A.. 2021. "Reflectionless wave propagation on shallow water with variable bathymetry and current." Journal of Fluid Mechanics. 931, pp. 1-25. https://doi.org/10.1017/jfm.2021.935Article
An innovative clustering technique to generate hybrid modeling of cooling coils for energy analysis: A case study for control performance in HVAC systems
Homod, Raad Z., Togun, Hussein, Ateeq, Adnan A., Al-Mousawi, Fadhel Noraldeen, Yaseen, Zaher Mundher, Al-Kouz, Wael, Hussein, Ahmed Kadhim, Alawi, Omer A., Goodarzi, Marjan and Ahmadi, Goodarz. 2022. "An innovative clustering technique to generate hybrid modeling of cooling coils for energy analysis: A case study for control performance in HVAC systems." Renewable and Sustainable Energy Reviews. 166. https://doi.org/10.1016/j.rser.2022.112676Article
Application of the ANOVA method in the optimization of a thermoelectric cooler-based dehumidification system
Eltaweel, Mahmoud, Heggy, Aya H., Yaseen, Zaher Mundher, Alawi, Omer A., Falah, Mayadah W., Hussein, Omar A., Ahmed, Waqar, Homod, Raad Z. and Abdelrazek, Ali H.. 2022. "Application of the ANOVA method in the optimization of a thermoelectric cooler-based dehumidification system." Energy Reports. 8, pp. 10533-10545. https://doi.org/10.1016/j.egyr.2022.08.193Article
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490101. Approximation theory and asymptotic methods
490102. Biological mathematics
490103. Calculus of variations, mathematical aspects of systems theory and control theory
490105. Dynamical systems in applications
490107. Mathematical methods and special functions