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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Mechanics in dehydration-induced leaf morphing behaviors by Guo, Kexin

“…While some typical shape changes in plants and their mechanical driving forces have been extensively studied, numerous unexplored behaviors and underlying mechanical principles still exist in nature. …”
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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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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 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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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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Growth and physical properties of organic semiconducting single crystals by Tan, Ke Jie

“…Organic light emitting diodes are in numerous displays of mobile phones or some TV sets. …”
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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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Thermal effects on particle deposition in microchannels by Yan, Zhibin

“…Particle deposition plays a crucial role in numerous practical applications, and is also of fundamental interest to the field of colloid science. …”
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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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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

“…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. …”

A physics-informed deep learning liquid crystal camera with data-driven diffractive guidance by Shi, Jiashuo, Liu, Taige, Zhou, Liang, Yan, Pei, Wang, Zhe, Zhang, Xinyu

“…Whether in the realms of computer vision, robotics, or environmental monitoring, the ability to monitor and follow specific targets amidst intricate surroundings is essential for numerous applications. However, achieving rapid and efficient target tracking remains a challenge. …”
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Health and disease phenotyping in old age using a cluster network analysis by Valenzuela, Jesus Felix, Monterola, Christopher, Tong, Victor Joo Chuan, Ng, Tze Pin, Larbi, Anis

“…Human ageing is a complex trait that involves the synergistic action of numerous biological processes that interact to form a complex network. …”
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Nearly total optical transmission of linearly polarized light through transparent electrode composed of GaSb monolithic high-contrast grating integrated with gold by Tobing, Landobasa Yosef Mario, Wasiak, Michal, Zhang, Dao Hua, Fan, Weijun, Czyszanowski, Tomasz

“…Achieving high transmission of light through a highly conductive structure implemented on a semiconductor remains a challenge in optoelectronics as the transmission is inevitably deteriorated by absorption and Fresnel reflection. There have been numerous efforts to design structures with near-unity transmission, yet they are typically constrained by a trade-off between conductivity and optical transmission. …”
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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). …”

Research Anthology on BIM and Digital Twins in Smart Cities / by Information Resources Management Association 496247, IGI Global Scientific Publishing (Online service) 655412

“…In recent years, smart cities have been an emerging area of interest across the world. Due to this, numerous technologies and tools, such as building information modeling (BIM) and digital twins, have been developed to help achieve smart cities. …”
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