Abstract The deviation of the tool center point (TCP) a machine from its desired location needs to be assessed correctly ensure an accurate and safe operation machine. A major source TCP are thermal loads, which constantly changing during operation. Numerical simulation models help predicting these but typically large expensive solve. Especially in (real-time feedback) control settings, also ef...

We present a new family of high-order shock-capturing finite difference numerical methods for systems conservation laws. These methods, called Adaptive Compact Approximation Taylor (ACAT) schemes, use centered $(2p + 1)$-point stencils, where $p$ may take values in $\{1, 2, \dots, P\}$ according to smoothness indicators the stencils. The are based on combination robust first order scheme and Ap...