Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...
In this talk we present few instances of multilevel approximation methods involving PDEs with random parameters and associated scalar output quantities of interest (QoI). Multilevel methods aim at ...
This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational ...
Can the single-loss approximation method compete with the standard monte carlo simulation technique?
In this paper we evaluate the single-loss approximation method for high-quantile loss estimation on the basis of SAS OpRisk Global Data. Due to its simplicity, the single-loss approximation method has ...
A new study provides a rigorous theoretical and numerical analysis of the accuracy of the method of characteristics (MoC), a ...
A critical issue in the credit risk industry is the accurate, efficient and robust pricing of collateralized debt obligations (CDOs) in a variety of mathematical models. These and many similar basket ...
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