2 papers
math.NA2015
Reduced Basis Method for the Convected Helmholtz Equation
Myoungnyoun Kim, Imbo Sim
We present a reduced basis approach to solve the convected Helmholtz equation with several physical parameters. Physical parameters characterize the aeroacoustic wave propagation i…
math.NA2015
Projected Multilevel Monte Carlo Method for PDE with random input data
Myoungnyoun Kim, Imbo Sim
The order of convergence of the Monte Carlo method is 1/2 which means that we need quadruple samples to decrease the error in half in the numerical simulation. Multilevel Monte Car…