Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...
The complex-step method is a clever way of obtaining a numerical approximation to the first derivative of a function, avoiding the round-off error that plagues ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...
Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...
This application note presents a numerical algorithm for IGBTs that operate in switch mode power circuits in order to determine its losses. The design example uses a 600 W zero-current switching boost ...
Publishing in the International Journal of Extreme Manufacturing (IJEM), researchers from Harbin Institute of Technology, Huazhong University of Science and Technology, Guizhou University and ...
Our purpose in this paper is to study the convergence rate of some variants of the Schwarz alternating method for solving two types of singularly perturbed advection-diffusion equations, one in which ...
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