This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
Cosmic rays are high-energy particles that constantly bombard Earth from space and are influenced by the sun's magnetic ...
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 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 ...
Mathematics of Computation, Vol. 80, No. 275 (JULY 2011), pp. 1525-1556 (32 pages) We investigate Riesz bases of wavelets in Sobolev spaces and their applications to numerical solutions of the ...
Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...
Description: Potential theory and Green's function. Method of characteristics and solution in the large of Cauchy's initial value problem for first and second order equations. Numerical methods.
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