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math.NA2021
Stochastic Modelling of Symmetric Positive Definite Material Tensors
Sharana Kumar Shivanand, Bojana Rosić, Hermann G. Matthies
Spatial symmetries and invariances play an important role in the behaviour of materials and should be respected in the description and modelling of material properties. The focus h…
math.NA2021
Scale-invariant Monte Carlo and multilevel Monte Carlo estimation of mean and variance: An application to simulation of linear elastic bone tissue
Sharana Kumar Shivanand, Bojana Rosić
We propose novel scale-invariant error estimators for the Monte Carlo and multilevel Monte Carlo estimation of mean and variance. For any linear transformation of the distribution…