quasi-monte carlo 1random fields 1reaction-diffusion equations 1tumor growth modeling 1uncertainty quantification 1
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math.NA2024
A complex-projected Rayleigh quotient iteration for targeting interior eigenvalues
Nils Friess, Alexander D. Gilbert, Robert Scheichl
We introduce a new Projected Rayleigh Quotient Iteration aimed at improving the convergence behaviour of classic Rayleigh Quotient iteration (RQI) by incorporating approximate info…
math.NA2024
Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods
Alexander D. Gilbert, Frances Y. Kuo, Abirami Srikumar
In this paper, we apply quasi-Monte Carlo (QMC) methods with an initial preintegration step to estimate cumulative distribution functions and probability density functions in uncer…