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Lax–Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws

Journal of Computational Physics, 2013
Fast sweeping methods are efficient iterative numerical schemes originally designed for solving stationary Hamilton-Jacobi equations. Their efficiency relies on Gauss-Seidel type nonlinear iterations, and a finite number of sweeping directions. In this paper, we generalize the fast sweeping methods to hyperbolic conservation laws with source terms. The
Weitao Chen   +2 more
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Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity

SIAM Journal on Numerical Analysis, 2008
This paper is the third and last part of a work attempting to give a unified analysis of discontinuous Galerkin methods. The purpose of this paper is to extend the framework that has been developed in Part II for two-field Friedrichs' systems associated with second-order PDEs.
Alexandre Ern, Jean-Luc Guermond
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Lax–Friedrichs Multigrid Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws

Journal of Scientific Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weitao Chen   +2 more
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Simulation Analysis for Peak Pressure of Shock Wave Based on Lax-Friedrichs Method

2012 Fifth International Conference on Information and Computing Science, 2012
FEM software has been well-developed in shock wave simulation. As the software usually is huge and complicated, subdivision mesh needs lots of computation, and the precision is not assured, finite-difference methods are highly regarded. Difference schemes are related to the stability and precision.
Shijie Ye   +3 more
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Friedrich Schleiermacher’s Lecture “On the Different Methods of Translating” and the Notion of Authorship in Translation Studies

2015
In his lecture On the Different Methods of Translating Friedrich Schleiermacher distinguishes two different ways of translating: either the translator moves the reader to the author or the translator moves the author to the reader. Thus, for Schleiermacher the goal of translation lies in the approximation of two persons and in enabling interpersonal ...
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Analysis of GRIN Lens Antennas through the Lax-Friedrichs Sweeping Method

2024 IEEE International Symposium on Antennas and Propagation and INC/USNC‐URSI Radio Science Meeting (AP-S/INC-USNC-URSI)
The analysis of Graded-Index (GRIN) lenses involves employing ray tracing algorithms, which address the Eikonal equation to determine phase distribution. Subsequently, the transport equation is solved to retrieve the amplitude. In this paper, we introduce a novel analysis approach based on a numerical technique known as the Lax-Friedrichs Sweeping ...
Gashi, Ilir   +2 more
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Nonlinear friedrichs' extension of K-strongly stable operators and the error estimate for the Galerkin method

Nonlinear Analysis: Theory, Methods & Applications, 1992
The author continues his study of the solvable Friedrichs extension of a densely defined nonlinear, unbounded, and \(K\)-strongly stable operator initiated in [Ill. J. Math. 10, 255--274 (1966; Zbl 0139.31503)]. The abstract results are illustrated by applications to the diffusion equation \[ -\Delta u+g(x)\frac{\partial u}{\partial y}+f(u,y)=h(x,y ...
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Eclipse of the Sun: Mystical Terminology, Revolutionary Method and Esoteric Prose in Friedrich Schlegel

MLN, 1983
Friedrich Schlegel's novel Lucinde is not, so the author observed in entry 2071 of his Literary Notebooks, a true Romantic work. Earlier he had noted: "Eigentlich ist alle Poesie = Romantisch!"2 Paradox and contradiction are, of course, not considered unusual in Schlegel's writings. Examples are easy to find, and the principle itself defended.
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The double return of Friedrich Engels: Towards a dialectics of the trace

Human Geography(United Kingdom), 2021
Mark Justin Rainey
exaly  

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