Results 181 to 190 of about 365,910 (236)

The Theological Method of Friedrich Schleiermacher

Eleutheria: John W. Rawlings School of Divinity Academic Journal, 2022
What Friedrich Schleiermacher is most known for is his theological method of deriving doctrine from religious experience. He believed that religious piety is to be found in the “feeling of absolute dependence”, and all subsequent doctrines must be discovered through reflection upon religious experience.
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Discontinuous Galerkin Methods for Friedrichs’ Systems

2007
This work presents a unified analysis of Discontinuous Galerkin methods to approximate Friedrichs’ systems. A general set of boundary conditions is identified to guarantee existence and uniqueness of solutions to these systems. A formulation enforcing the boundary conditions weakly is proposed.
Alexandre Ern, Jean-Luc Guermond
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Friedrichs Method in a Lyapunov Problem

Applicable Analysis, 2002
By using the well-known Friedrichs extension and some a priori inequality, we obtain weak solutions of a Lyapunov equation. In particular, we show that the Lyapunov functions satisfying necessary and sufficient conditions in the domain of asymptotic stability of a singular point some dynamical system must be absolutely continuous.
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A posteriori error estimates in finite element methods for general Friedrichs' systems

Computer Methods in Applied Mechanics and Engineering, 2000
The authors give a new a posteriori error estimator for the general Friedrichs system based on a comparison of an appropriate norm of the exact error with an approximate solution. The estimate is independent of space dimension and the method of numerical approximation.
Achchab, B., Agouzal, A., Baranger, J., Maitre, J. F.   +3 more
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Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes

SIAM Journal on Numerical Analysis, 2020
The authors present discontinuous Galerkin methods with generalized local Lax-Friedrichs (GLLF) fluxes for one-dimensional scalar nonlinear hyperbolic conservation laws. Periodic boundary conditions are considered. GLLF is an extension of the local Lax-Friedrichs (LLF) flux, which is not even monotone and may be regarded as a generalization of upwind ...
Jia Li, Dazhi Zhang, Xiong Meng, Boying Wu, Qiang Zhang   +4 more
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Beyond the Courant-Friedrichs-Lewy condition: Numerical methods for the wave problem using deep learning

Journal of Computational Physics, 2021
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Ovadia, Oded, Kahana, Adar, Turkel, Eli, Dekel, Shai   +3 more
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A Unified Discontinuous Petrov--Galerkin Method and Its Analysis for Friedrichs' Systems

SIAM Journal on Numerical Analysis, 2013
We propose a unified discontinuous Petrov--Galerkin (DPG) framework with optimal test functions for Friedrichs-like systems, which embrace a large class of elliptic, parabolic, and hyperbolic partial differential equations (PDEs). The well-posedness, i.e., existence, uniqueness, and stability, of the DPG solution is established on a single abstract DPG
Tan Bui-Thanh, Leszek Demkowicz, Omar Ghattas   +2 more
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Lax–Friedrichs Multigrid Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws

Journal of Scientific Computing, 2015
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Chen, Weitao, Chou, Ching-Shan, Kao, Chiu-Yen   +2 more
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The Lax–Friedrichs sweeping method for optimal control problems in continuous and hybrid dynamics

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Kao, Chiu Yen, Navasca, Carmeliza, Osher, Stanley   +2 more
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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, Maci, Stefano, Albani, Matteo   +2 more
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