3 papers
math.NA2026
Error control technique of quadrature-based algorithms for the action of real powers of a Hermitian positive-definite matrix
Motohiro Otsuka, Fuminori Tatsuoka, Tomohiro Sogabe +2
This study considers quadrature-based algorithms to compute , the action of a real power of a Hermitian positive-definite matrix on a vector $ \boldsymbol{b}…
math.NA2025
Error analysis of the projected PO method with additive inflation for the partially observed Lorenz 96 model
Kota Takeda
We consider the filtering problem with the partially observed Lorenz 96 model. Although the accuracy of the 3DVar filter in this problem has been established, the theoretical guara…
math.ST2024
Uniform error bounds of the ensemble transform Kalman filter for infinite-dimensional dynamics with multiplicative covariance inflation
Kota Takeda, Takashi Sakajo
Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a predict…