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.

“…The spreadsheet program developed by this project serves as a learning tool for solving various types of partial differential equations (namely the elliptic, parabolic, and hyperbolic equations) using numerical methods. With extensive macro programming in host program Microsoft Excel, the spreadsheet has been tailored for use by someone with no Excel experience. …”
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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 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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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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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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Using density dependent approach for simulation and control of seawater intrusion into coastal aquifers by Saad Nusari, Mohammed Saleh

“…In addition availability of benchmark problems used for testing numerical seawater intrusion model is limited, and agreeable solutions on existing benchmark test problems are still subject to debate and remained unresolved. …”
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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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Structural behaviour of press-braked austenitic stainless steel slender channel section beam-columns by Li, Shuai, Su, Andi, Zhao, Ou

“…The present paper reports experimental and numerical studies of the structural behaviour and resistances of press-braked austenitic stainless steel slender channel section beam-columns under combined compression and minor-axis bending. …”
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Cluster-based information fusion for probabilistic risk analysis in complex projects under uncertainty by Zhang, Limao, Wang, Ying, Wu, Xianguo

“…Risk factors are quantified into a continuous numeric scale for risk level classification and each factor value is turned into a basic probability assignment (BPA). …”
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Non-nested adaptive timesteps in multilevel Monte Carlo computations by Giles, MB, Lester, C, Whittle, J

“…This paper shows that it is relatively easy to incorporate adaptive timesteps into multilevel Monte Carlo simulations without violating the telescoping sum on which multilevel Monte Carlo is based. The numerical approach is presented for both SDEs and continuous-time Markov processes. …”

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. …”

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). …”

Effects of rainfall infiltration and hysteresis on the settlement of shallow foundations in unsaturated soil by Jeong, Sangseom, Kim, Yongmin, Park, Hyundo, Kim, Jaehong

“…The effects of rainfall infiltration and hysteresis on the settlement of shallow foundations in unsaturated soil were numerically investigated. Numerical solutions were verified against experimental data. …”
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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

“…This paper presents comprehensive experimental and numerical investigations into the structural behaviour and resistances of high strength concrete-filled high strength steel tube (HCFHST) stub columns under combined compression and bending. …”
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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

“…The flexural-torsional buckling behaviour and resistances of fixed-ended press-braked S690 high strength steel angle section columns have been studied based on testing and numerical modelling, and reported in this paper. A testing programme, employing four different equal-leg angle section sizes, was firstly conducted, and comprised material tensile coupon tests, initial global and torsional geometric imperfection measurements and twelve fixed-ended column tests. …”
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