4904. Pure mathematics
| Title | 4904. Pure mathematics |
|---|---|
| Parent | 49. Mathematical Sciences |
Latest research outputs
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A fast convergent iterative boundary element method on PVM cluster
Mai-Duy, N., Nguyen-Hong, P. and Tran-Cong, T.. 1998. "A fast convergent iterative boundary element method on PVM cluster." Engineering Analysis with Boundary Elements. 22 (4), pp. 307-316. https://doi.org/10.1016/S0955-7997(98)00071-XArticle
Properties of lattice-limit of a sequence on x-lattice
Zhang, Guangquan, Zhang, Yanchuan and Lu, Jie. 1997. "Properties of lattice-limit of a sequence on x-lattice." Journal of Fuzzy Mathematics. 5 (1), pp. 201-211.Article
A boolean algebra approach for class hierarchy normalization
Zhang, Yanchun and Xiao, Jitian. 1997. "A boolean algebra approach for class hierarchy normalization." Topor, R. and Tanaka, K. (ed.) 5th International Conference on Database Systems for Advanced Applications. Melbourne, Australia 01 - 04 Apr 1997 Singapore. https://doi.org/10.1142/9789812819536_0032Paper
Coupled thermomechanical waves in hyperbolic thermoelasticity
Strunin, D. V., Melnik, R. V. N. and Roberts, A. J.. 2001. "Coupled thermomechanical waves in hyperbolic thermoelasticity." Journal of Thermal Stresses. 24 (2), pp. 121-140. https://doi.org/10.1080/01495730150500433Article
Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2002. "Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models." Computational Mechanics. 29 (1), pp. 16-26. https://doi.org/10.1007/s00466-002-0311-5Article
Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2001. "Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena." Mechanics Research Communications. 28 (6), pp. 637-651. https://doi.org/10.1016/S0093-6413(02)00216-1Article
A holistic finite difference approach models linear dynamics consistently
Roberts, A. J.. 2003. "A holistic finite difference approach models linear dynamics consistently." Mathematics of Computation. 72 (241), pp. 247-262. https://doi.org/10.1090/S0025-5718-02-01448-5Article
Holistic discretisation ensures fidelity to Burger's equation
Roberts, A. J.. 2001. "Holistic discretisation ensures fidelity to Burger's equation." Applied Numerical Mathematics. 37 (3), pp. 371-396. https://doi.org/10.1016/S0168-9274(00)00053-2Article
A new high-order time-kernel BIEM for the Burgers equation
Mai-Duy, N., Tran-Cong, T. and Tanner, R. I.. 2006. "A new high-order time-kernel BIEM for the Burgers equation." CMES Computer Modeling in Engineering and Sciences. 16 (3), pp. 177-186. https://doi.org/10.3970/cmes.2006.016.177Article
Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks
Mai-Duy, N. and Tran-Cong, T.. 2006. "Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks." Engineering Analysis with Boundary Elements. 30 (2), pp. 77-87. https://doi.org/10.1016/j.enganabound.2005.10.004Article
Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids
Roberts, A. J.. 2007. Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids . University of Southern Queensland.Technical report
Computer algebra derives normal forms of stochastic differential equations
Roberts, A. J.. 2007. Computer algebra derives normal forms of stochastic differential equations . Toowoomba, Australia. University of Southern Queensland.Technical report
Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation
Roberts, A. J.. 2006. Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation. Toowoomba, Australia. University of Southern Queensland.Technical report
Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations
Roberts, A. J.. 2005. Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations. Toowoomba, Australia. University of Southern Queensland.Technical report
Resolving the multitude of microscale interactions accurately models stochastic partial differential equations
Roberts, A. J.. 2006. "Resolving the multitude of microscale interactions accurately models stochastic partial differential equations." LMS Journal of Computation and Mathematics. 9, pp. 193-221. https://doi.org/10.1112/S146115700000125XArticle
Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation
Roberts, A. J.. 2006. Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation. Toowoomba, Australia. University of Southern Queensland.Technical report
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490401. Algebra and number theory
490402. Algebraic and differential geometry
490403. Category theory, k theory, homological algebra
490404. Combinatorics and discrete mathematics (excl. physical combinatorics)
490405. Group theory and generalisations
490406. Lie groups, harmonic and Fourier analysis
490407. Mathematical logic, set theory, lattices and universal algebra
490408. Operator algebras and functional analysis
490409. Ordinary differential equations, difference equations and dynamical systems
490410. Partial differential equations
490411. Real and complex functions (incl. several variables)