Recent trends in deep-submicron very large-scale integration (VLSI) circuit technology have resulted in new requirements for algorithms in integrated circuit layout. Much of my work centers on new formulations that capture performance and density criteria in the physical layout phases of computer-aided design (CAD). Our results include near-optimal approximation algorithms for such computationally difficult problems as minimum-cost Steiner tree routing, low-skew clock networks, cost-radius tradeoffs, bounded-density trees, circuit probe testing, high-performing Elmore-based constructions, layout density control, and improved manufacturability.

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Interests

  • Fluid Dynamics
  • Mathematical Modelling
  • Numerical Methods
  • Partial Differential Equations
  • Applied Mathematics

Research Project

  • Mathematical Model Boundary Flow in Viscoelastic Fluid and Williamson Nanofluid

    Fluid flow and heat transfer play a significant factor in industrial processes, manufacturing and engineering applications. del is needed to enhance the process of fluid flow.

    Fluid flow and heat transfer play a significant factor in industrial processes, manufacturing
    and engineering applications. Therefore, a model is needed to enhance the process of fluid
    flow, heat transfer and the quality both, as the final products are heavily reliant upon the
    kinematics of the flow and the simultaneous heating or cooling. However, the mathematical
    description of fluid flow and heat transfer specifically in geometry, as in a horizontal circular
    cylinder are very complex to solve due to the nonlinearity existence and coupled equations.
    Indeed, obtaining an analytical solution requires additional effort and time meanwhile to setup
    an experiment is costly. In such a case, numerical methods provide a means to solve the
    problem. Therefore, the governing equation of fluid flow and heat transfer together with the
    boundary condition are solved numerically. Normally when modelling convection flow, many
    researchers incorporated constant wall temperature or constant heat flux in the boundary
    conditions. Nevertheless, these types of boundary conditions appear insufficient to adequately
    describe the heating process for some cases. Another type of boundary condition has been
    introduced where convection heats the bottom surface of the cylinder known as a convective
    boundary condition.

  • Development of Mathematical Model for Enzymatic Hydrolysis of Cellulose in a Stirred Tank

    This could be a full decription about the project. Development of Mathematical Model and Simulation for Enzymatic Hydrolysis of Cellulose in a Stirred Tank

    This could be a full decription about the project. Development of Mathematical Model and Simulation for Enzymatic Hydrolysis of Cellulose in a Stirred Tank

  • DEVELOPMENT OF FIFTH-STAGE STOCHASTIC RUNGE-KUTTA (SRK5) METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS

    this research is aimed to propose a newly develop of SRK5 method for SDEs. The SRK5 method is expected to be a more efficient tools in approximating the solution of SDEs.

    This could be a full decription about the project

Research Students

Siti Norfatihah Zulkifli

Siti Norfatihah Zulkifli

Master Student

Numerical Solution of a Convection Flow over Stretching/Shrinking
Surface in a Nanofluid: A Revised Model
Yap Bing Kho

Yap Bing Kho

Master Student

Numerical Solutions for Casson and Williamson Nanofluids Past over a Strectching Sheet
  •    Completed

Yap Bing Kho

MSE15003

Numerical Solutions for Casson and Williamson Nanofluids Past over a Stretching Sheet

  •    Ongoing

Siti Norfatihah Zulkifli

MSE18002

Numerical Solution of a Convection Flow over Stretching/Shrinking Surface in a Nanofluid: A Revised Model