1 citations · 1 across the 3 of their papers we have counts for
4 papers
Running error bounds in finite element kernels
Michal Habera, Paul T. Kühner, Matteo Croci +1
Rounding errors in finite element computations can lead to a complete loss of accuracy, stalled convergence, and incorrect results. Moreover, the effects of rounding errors accumul…
Automated dimensional analysis for PDEs
Michal Habera, Andreas Zilian
Physical units are fundamental to scientific computing. However, many finite element frameworks lack built-in support for dimensional analysis. In this work, we present a systemati…
Numerically stable evaluation of closed-form expressions for eigenvalues of matrices
Michal Habera, Andreas Zilian
Trigonometric formulas for eigenvalues of matrices that build on Cardano's and Viète's work on algebraic solutions of the cubic are numerically unstable for matrices w…
Symbolic spectral decomposition of 3x3 matrices
Michal Habera, Andreas Zilian
Spectral decomposition of matrices is a recurring and important task in applied mathematics, physics and engineering. Many application problems require the consideration of matrice…