BookDOI
Numerische Mathematik 1
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The article was published on 1989-01-01. It has received 2186 citations till now.read more
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Proceedings ArticleDOI
Error Estimation and Adaptation in Hybridized Discontinuous Galerkin Methods
TL;DR: Results for inviscid, laminar, and Reynolds-averaged turbulent compressible Navier-Stokes simulations in two and three dimensions demonstrate some of the potential gains of output-based adaptivity for hybridized discontinuous Galerkin discretizations.
Journal ArticleDOI
Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image
TL;DR: In this paper, a fractional partial differential equation-based denoising model for texture image is proposed, which applies a novel mathematical method to image processing from the view of system evolution.
Dissertation
Residual-based Discretization Error Estimation for Computational Fluid Dynamics
TL;DR: Burgers’ equation is used to investigate the formulation of Neumann boundary conditions within the context of discretization error estimation using error transport equations (a residual-based method which solves differential equations governing the transport of numerical error).
Spectral analysis of coupled PDEs and of their Schur complements via the notion of generalized locally Toeplitz sequences
TL;DR: Spectral analysis of coupled PDEs and of their Schur complements via the notion of generalized locally Toeplitz sequences is compared with a similar analysis of paired TSPs using the same assumptions as before.
Book ChapterDOI
On Reconstruction of Algebraic Numbers
Claus Fieker,Carsten Friedrichs +1 more
TL;DR: It is shown how to effectively reconstruct a number b if it exists such that b is smaller then the given bound and b ≡a mod \(\mathfrak{a}\).