490303. Numerical solution of differential and integral equations
| Title | 490303. Numerical solution of differential and integral equations |
|---|---|
| Parent | 4903. Numerical and computational mathematics |
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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/10.1063/5.0179269Article
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.2023.05.038Article
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
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.2022.07.014Article
Probabilistic failure of a cracked submarine pipeline and subjected to the underwater shock
Lam, K. Y., Zong, Z. and Wang, Q. X.. 2001. "Probabilistic failure of a cracked submarine pipeline and subjected to the underwater shock." Journal of Offshore Mechanics and Arctic Engineering. 123 (3), pp. 134-140. https://doi.org/10.1115/1.1376715Article
Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method
Wang, Q. X., Li, Hua and Lam, K. Y.. 2007. "Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method." Computational Mechanics. 40, pp. 1-11. https://doi.org/10.1007/s00466-006-0077-2Article
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
New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils
Mai-Duy, Nam and Strunin, Dmitry. 2021. "New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils." Engineering Analysis with Boundary Elements. 125, pp. 12-22. https://doi.org/10.1016/j.enganabound.2021.01.001Article
A microstructure model for viscoelastic–thixotropic fluids
Le-Cao, K., Phan-Thien, N., Mai-Duy, N., Ooi, S. K., Lee, A. C. and Khoo, B. C.. 2020. "A microstructure model for viscoelastic–thixotropic fluids." Physics of Fluids. 32. https://doi.org/10.1063/5.0033199Article
Coarse-graining, compressibility, and thermal fluctuation scaling in dissipative particle dynamics employed with pre-determined input parameters
Mai-Duy, N., Phan-Thien, N., Nguyen, T. Y. N. and Tran-Cong, T.. 2020. "Coarse-graining, compressibility, and thermal fluctuation scaling in dissipative particle dynamics employed with pre-determined input parameters." Physics of Fluids. 32 (5). https://doi.org/10.1063/5.0010275Article
Numerical solution of a highly nonlinear and non-integrable equation using integrated radial basis function network method
Bhanot, Rajeev P., Strunin, Dmitry V. and Ngo-Cong, Duc. 2020. "Numerical solution of a highly nonlinear and non-integrable equation using integrated radial basis function network method." Chaos: an interdisciplinary journal of nonlinear science. 30 (8). https://doi.org/10.1063/5.0009215Article
Investigation of particulate suspensions in generalised hydrodynamic dissipative particle dynamics using a spring model
Mai-Duy, N., Nguyen, T. Y. N., Le-Cao, K. and Phan-Thien, N.. 2020. "Investigation of particulate suspensions in generalised hydrodynamic dissipative particle dynamics using a spring model." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 77 (1), pp. 652-662. https://doi.org/10.1016/j.apm.2019.07.065Article
Simulation of auto-pulses in channel flows between active elastic walls
Ahmed, Fatima Zain Alabdeen. 2019. Simulation of auto-pulses in channel flows between active elastic walls. PhD Thesis Doctor of Philosophy. University of Southern Queensland. https://doi.org/10.26192/y3c7-m146PhD Thesis
Compact non-symmetric and symmetric stencils based on integrated radial basis functions for differential problems
Le, Thi Thuy Van. 2019. Compact non-symmetric and symmetric stencils based on integrated radial basis functions for differential problems. PhD Thesis Doctor of Philosophy. University of Southern Queensland. https://doi.org/10.26192/9x2n-gb05PhD Thesis
Parameters and branching auto-pulses in a fluid channel with active walls
Strunin, Dmitry and Ahmed, Fatima. 2019. "Parameters and branching auto-pulses in a fluid channel with active walls." Fluids. 4 (3). https://doi.org/10.3390/fluids4030160Article
An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations
Osman, S. A and Langlands, T. A. M.. 2019. "An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations." Applied Mathematics and Computation. 348, pp. 609-626. https://doi.org/10.1016/j.amc.2018.12.015Article
A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems
Le, T. T. V., Mai-Duy, N., Le-Cao, K. and Tran-Cong, T.. 2018. "A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems." Numerical Heat Transfer Part B: Fundamentals. 74 (2), pp. 498-518. https://doi.org/10.1080/10407790.2018.1515329Article
Simulations of autonomous fluid pulses between active elastic walls using the 1D-IRBFN Method
Ahmed, Fatima Z., Mohammed, Mayada G., Strunin, Dmitry V. and Ngo-Cong, Duc. 2018. "Simulations of autonomous fluid pulses between active elastic walls using the 1D-IRBFN Method ." Mathematical Modelling of Natural Phenomena (MMNP). 13 (5), pp. 1-25. https://doi.org/10.1051/mmnp/2018058Article
Numerical solution methods for fractional partial differential equations
Osman, Sheelan Abdulkader. 2017. Numerical solution methods for fractional partial differential equations. PhD Thesis Doctor of Philosophy. University of Southern Queensland. https://doi.org/10.26192/5c075fc8baf89PhD Thesis
A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
Ngo-Cong, D., Tien, C.M.T., Nguyen-Ky, T., An-Vo, D.-A., Mai-Duy, N., Strunin, D. V. and Tran-Cong, T.. 2017. "A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils." International Journal for Numerical Methods in Fluids. 85 (7), pp. 404-429. https://doi.org/10.1002/fld.4386Article
A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
Tien, C. M. T., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2016. "A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations." Computers and Mathematics with Applications. 72 (9), pp. 2364-2387. https://doi.org/10.1016/j.camwa.2016.09.001Article
High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications
Tien, C. M. T, Ngo-Cong, D., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2016. "High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications." Computers and Fluids. 131, pp. 151-168. https://doi.org/10.1016/j.compfluid.2016.03.021Article
From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations
Angstmann, C. N., Donnelly, I. C., Henry, B. I., Jacobs, B. A., Langlands, T. A. M. and Nichols, J. A.. 2016. "From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations." Journal of Computational Physics. 307, pp. 508-534. https://doi.org/10.1016/j.jcp.2015.11.053Article
Local stability of a plate with a circular inclusion under tensile stress
Bauer, Svetlana, Ermakov, Andrei, Kashtanova, Stanislava and Morozov, Nikita. 2018. "Local stability of a plate with a circular inclusion under tensile stress." Pietraszkiewicz, Wojciech and Witkowski, Wojciech (ed.) Shell structures: theory and applications, vol. 4. London, United Kingdom. CRC Press. pp. 199-202Edited book (chapter)
Compact approximation stencils based on integrated flat radial basis functions
Mai-Duy, N., Le, T. T. V., Tien, C. M. T., Ngo-Cong, D. and Tran-Cong, T.. 2017. "Compact approximation stencils based on integrated flat radial basis functions." Engineering Analysis with Boundary Elements. 74, pp. 79-87. https://doi.org/10.1016/j.enganabound.2016.11.002Article
Problem set 8
Yevdokimov, Oleksiy. 2011. "Problem set 8." Australian Senior Mathematics Journal. 25 (2), pp. 63-63.Article
Problem set 7
Yevdokimov, Oleksiy. 2011. "Problem set 7." Australian Senior Mathematics Journal. 25 (1), pp. 64-64.Article
Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base
Ermakov, A. M.. 2013. "Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base." Logg, Anders, Mardal, Kent-Andre and Massing, Andre (ed.) 26th Nordic Seminar on Computational Mechanics. Oslo, Norway 23 - 25 Oct 2013 Oslo, Norway.Paper
Numerical solution for the fluid flow between active elastic walls
Ahmed, F. Z., Strunin, D. V., Mohammed, M. G. and Bhanot, R. P.. 2016. "Numerical solution for the fluid flow between active elastic walls." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 57, pp. C221-C234. https://doi.org/10.21914/anziamj.v57i0.10453Article
A sub-catchment based approach for modelling nutrient dynamics and transport at a river basin scale
Alam, Md Jahangir and Dutta, Dushmanta. 2016. "A sub-catchment based approach for modelling nutrient dynamics and transport at a river basin scale." Water Resources Management. 30 (14), pp. 5455-5478. https://doi.org/10.1007/s11269-016-1500-xArticle
Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells
Ermakov, A. M.. 2008. "Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells." Russian Journal of Biomechanics. 13 (1), pp. 47-58.Article
Tonometric estimation of mechanical properties of a cornea and sclera
Voronkova, E., Bauer, S. and Ermakov, A.. 2009. "Tonometric estimation of mechanical properties of a cornea and sclera." 2009 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2009). Fort Lauderdale, United States of America 03 - 07 May 2009 United States. Association for Research in Vision and Ophthalmology (ARVO).Paper
Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye
Bauer, S. M., Ermakov, A. M., Kotliar, K. E. and Voronkova, E. B.. 2010. "Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye." 2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010). Fort Lauderdale, United States of America 02 - 06 May 2010 Association for Research in Vision and Ophthalmology (ARVO).Paper
The models of nonclassical anisotropic spherical shells
Ermakov, A.. 2012. "The models of nonclassical anisotropic spherical shells." Pecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr (ed.) 38th Solid Mechanics Conference. Warsaw, Poland 27 - 31 Aug 2012 Warsaw, Poland.Paper
Buckling of a spherical segment under the flat base load
Bauer, Svetlana and Ermakov, Andrei. 2013. "Buckling of a spherical segment under the flat base load." Lellep, J. and Puman, E. (ed.) 2nd International Conference on Optimization and Analysis of Structures (OAS 2013). Tartu, Estonia 25 - 27 Aug 2013 Tartu, Estonia.Paper
Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes
Bauer, S. M., Ermakov, A. M., Kashtanova, S. V. and Morozov, N. F.. 2011. "Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes." Vestnik: Mathematics (St. Petersburg University). 44 (1), p. Article 13. https://doi.org/10.3103/S1063454111010055Article
Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells." Altenbach, Holm and Eremeyev, Victor A. (ed.) Shell-like structures. Heidelberg, Germany. Springer. pp. 519-530Edited book (chapter)
Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells
Ermakov, Andrei M.. 2013. "Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells." Lecture Notes in Computer Science (Book series). 8236, pp. 279-286. https://doi.org/10.1007/978-3-642-41515-9_30Article
A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping
Angstmann, C. N., Donnelly, I. C., Henry, B. I. and Langlands, T. A. M.. 2016. "A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping." Mathematical Modelling of Natural Phenomena (MMNP). 11 (3), pp. 142-156. https://doi.org/10.1051/mmnp/20161139Article
Multiscale stochastic simulation of transient complex flows
Nguyen, Hung Quoc. 2016. Multiscale stochastic simulation of transient complex flows. PhD Thesis Doctor of Philosophy. University of Southern Queensland.PhD Thesis