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7 papers · 2 filters
Bayesian Parameter Estimation via Filtering and Functional Approximations
Hermann G. Matthies, Alexander Litvinenko, Bojana V. Rosic +1
The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use…
On a new kind of Ansatz Spaces for Matrix Polynomials
Heike Fassbender, Philip Saltenberger
In this paper, we introduce a new family of equations for matrix pencils that may be utilized for the construction of strong linearizations for any square or rectangluar matrix pol…
Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods
Hendrik Ranocha
For the first time, a general two-parameter family of entropy conservative numerical fluxes for the shallow water equations is developed and investigated. These are adapted to a va…
Symmetric and skew-symmetric block-Kronecker linearizations
Heike Faßbender, Javier Perez, Nikta Shayanfar
Many applications give rise to structured matrix polynomials. The problem of constructing structure-preserving strong linearizations of structured matrix polynomials is revisited i…
Application of Modal Filtering to a Spectral Difference Method
Jan Glaubitz, Philipp Öffner, Thomas Sonar
We adapt the spectral viscosity (SV) formulation implemented as a modal filter to a Spectral Difference Method (SD) solving hyperbolic conservation laws. In the SD Method we use se…
Finite strain FFT-based non-linear solvers made simple
T. W. J. de Geus, J. Vondrejc, J. Zeman +2
Computational micromechanics and homogenization require the solution of the mechanical equilibrium of a periodic cell that comprises a (generally complex) microstructure. Technique…