Development of a generalized Riemann problem for aerodynamic applications by Phua, Xi Kun.

“…The purpose of this paper is to explore the development of a numerical scheme which employs a more general Riemann Problem (generalized Riemann Problem, or GRP). …”
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Investigation of soil-structure interaction for deep excavations by Hensman, P

“…</p> <p>The field monitoring program is complemented by numerical analyses to evaluate the capability of numerical models to capture observed behaviour in the field. …”

Spreadsheet applications in partial differential equations in Nanyang Technological University by Tan, Chiang Hoong.

“…Apart from providing numerical solutions, the spreadsheet also produces graphical data to enable the user to see a clearer picture of the solution. …”
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Fast alternating direction implicit method for efficient transient thermal simulation of integrated circuits by Heh, Ding Yu, Tan, Eng Leong, Tay, Wei Choon

“…Numerical results further ascertain the cooling effect of the microchannels.…”
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A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials by Ang, Whye-Teong

“…A boundary element method is proposed for the numerical solution of an important class of boundary value problems governed by plane elastostatic equations of anisotropic functionally graded materials. …”
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Modeling and optimization of thermoelectric generator for waste heat recovery by Ji, Dongxu

“…To address this issue, the first part of this thesis proposes a numerical model to simulate the TEM and its heat transfer system. …”
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Lattice Green’s Functions for High-Order Finite Difference Stencils by Gabbard, James, van Rees, Wim M.

“…The majority of existing numerical solvers that make use of LGFs rely on a second-order discretization and operate on domains with free-space boundary conditions in all directions. …”
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Using density dependent approach for simulation and control of seawater intrusion into coastal aquifers by Saad Nusari, Mohammed Saleh

“…These experimental datasets were compared with the numerical results generated from the SEAWAT-2000 simulation. …”
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A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties by Ang, Whye Teong

“…A numerical method based on boundary integral equation formulation and radial basis function approximation is presented for the numerical solution of the Cattaneo–Vernotte hyperbolic equation in anisotropic media with spatially varying and temperature dependent properties. …”
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Structural behaviour of press-braked austenitic stainless steel slender channel section beam-columns by Li, Shuai, Su, Andi, Zhao, Ou

“…The experimental programme was accompanied by a numerical modelling programme, including a validation study, where finite element models were developed and validated against the test results, and a series of parametric studies, where the validated finite element models were used to generate further numerical data. …”
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On solving singular interface problems using the enriched partition-of-unity finite element methods by Lee, Chi King, Liu, X., Fan, Sau Cheong

“…It has been well recognized that interface problems often contain strong singularities which make conventional numerical approaches such as uniform h- or p-version of finite element methods inefficient. …”
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What can palaeoclimate modelling do for you? by Haywood, A, Valdes, P, Aze, T, Barlow, N, Burke, A, Dolan, A, Von Der Heydt, A, Hill, D, Jamieson, S, Otto-Bliesner, B, Salzmann, U, Saupe, E, Voss, J

“…In modern environmental and climate science it is necessary to assimilate observational datasets collected over decades with outputs from numerical models, to enable a full understanding of natural systems and their sensitivities. …”

Non-nested adaptive timesteps in multilevel Monte Carlo computations by Giles, MB, Lester, C, Whittle, J

“…Numerical experiments are given for each, with the full code available for those who are interested in seeing the implementation details.…”

Effect of hysteresis on the stability of residual soil slope by Kristo, Christofer, Rahardjo, Harianto, Satyanaga, Alfrendo

“…The soil mechanical behaviour under wetting is crucial since numerous rainfall-induced slope failures occur during the wetting process. …”
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Automatic adaptive FE analysis of thin-walled structures using 3D solid elements by Lee, Chi King, Xu, Q. X.

“…For the refinement strategy, different procedures are employed for the estimation of new element sizes in the shell and the junction parts. Numerical examples are given to validate the effectiveness of the suggested procedure. …”
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Enhancing accuracy and efficiency in stiff ode integration using variable step diagonal bbdf approaches by Ibrahim, Zarina Bibi, Mohd Ijam, Hazizah, Aksah, Saufianim Jana, Abd Rasid, Norshakila

“…Recent advancements in mathematical modelling have uncovered a growing number of systems exhibiting stiffness, a phenomenon that challenges the effectiveness of traditional numerical methods. Motivated by the need for more robust numerical techniques to address this issue, this paper presents an enhanced version of the Diagonally Block Backward Differentiation Formula (BBDF) that incorporates intermediate points, known as off-step points, to improve the accuracy and efficiency of solutions for stiff ordinary differential equations (ODEs). …”

Flexural-torsional buckling behaviour and resistances of fixed-ended press-braked S690 high strength steel angle section columns by Zhang, Lulu, Liang, Yating, Zhao, Ou

“…This was followed by a numerical modelling programme, where finite element models were initially developed to simulate the experimental responses and then adopted to perform parametric studies to generate further numerical data over a wide range of cross-section dimensions and member lengths. …”
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Testing, modelling and design of high strength concrete-filled high strength steel tube (HCFHST) stub columns under combined compression and bending by Zhong, Yukai, Sun, Yao, Tan, Kang Hai, Zhao, Ou

“…The experimental programme was followed by a numerical modelling programme, where finite element models were initially developed and validated against the test results and then used to conduct parametric studies to generate further numerical data. …”
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Net section fracture of aluminium alloy angle-to-plate connections: testing, modelling and design by Jiang, Ke, Li, Shuai, Guo, Tong, Liang, Yating, Zhao, Ou

“…This paper presents experimental and numerical investigations into the net section fracture behaviour and resistances of aluminium alloy angle-to-plate connections. …”
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Mathematical modelling of seepage through dam by Ting, Huong Yun.

“…The result for each case study is plotted by using MATLAB program. Numerical results obtained show satisfactory agreement with those published in the literature. …”
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