This paper is concerned with a posteriori error bounds for wide class of numerical schemes, $$n\times n$$ hyperbolic conservation laws in one space dimension. These estimates are achieved by “post-processing algorithm”, checking that the solution retains small total variation, and computing its oscillation on suitable subdomains. The results apply, particular, to solutions obtained Godunov or L...

A conservative 3-D discontinuous Galerkin (DG) baroclinic model has been developed in the NCAR High-Order Method Modeling Environment (HOMME) to investigate global atmospheric flows. The computational domain is a cubed-sphere free from coordinate singularities. The DG discretization uses a high-order nodal basis set of orthogonal Lagrange-Legendre polynomials and fluxes of inter-element boundar...

This paper is to study the decay rate for perturbations of stationary discrete shocks for the Lax-Friedrichs scheme approximating the scalar conservation laws by means of an elementary weighted energy method. If the summation of the initial perturbation over (−∞, j) is small and decays at the algebraic rate as |j| → ∞, then the solution approaches the stationary discrete shock profiles at the c...

In this work we present an extended version of the Friedrichs Model, which includes fermion-boson couplings. The set of fermion bound states is coupled to a boson field with discrete and continuous components. As a result of the coupling some of the fermion states may become resonant states. This feature suggests the existence of a formal link between the occurrence of Gamow Resonant States in ...

and Applied Analysis 3 for all f ∈ C∞ 0 Ω . Since Aμ A μI is positive for sufficiently large μ it has a positive self-adjoint Friedrichs extension Aμ F such that D (( Aμ ) F ) ⊂ ◦ W m 2 Ω . 1.9 We define the Friedrichs extension of A Aμ − μI to be AF Aμ F − μI such that D AF ⊂ ◦ W m 2 Ω . 1.10 The domain of AF is given by D AF { f ∈ ◦ W m 2 Ω | Af ∈ L2 Ω } . 1.11 It is also well known that this...

Friedemann Scheck, Interessen und Konflikte. Eine Untersuchung zur politischen Praxis im frühneuzeitlichen Württemberg am Beispiel von Herzog Friedrichs Weberwerk (1598 – 1608) (Schriften südwestdeutschen Landeskunde, Bd. 81). Ostfildern: Thorbecke 2020. 292 S. ISBN 978-3-7995-5281-3. € 39,–

A high resolution, second-order central difference method for incompressible flows is presented. The method is based on a recent second-order extension of the classic Lax-Friedrichs scheme introduced for hyperbolic conservation laws (Nessyahu H. & Tadmor E. (1990) J. Comp. Physics. 87, 408-463; Jiang G.-S. & Tadmor E. (1996) UCLA CAM Report 96-36, SIAM J. Sci. Comput., in press) and augmented b...

We consider the method-of-moments approach to solve Boltzmann equation of rarefied gas dynamics, which results in following moment-closure problem. Given a set moments, find underlying probability density function. The problem has infinitely many solutions and requires an additional optimality criterion single-out unique solution. Motivated from discontinuous Galerkin velocity discretization, w...