Results 211 to 220 of about 27,771,751 (275)

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, Omar Ghattas, Leszek Demkowicz   +2 more
openaire   +2 more sources

A posteriori error estimates in finite element methods for general Friedrichs' systems

Computer Methods in Applied Mechanics and Engineering, 2000
Abstract In this paper we develop and analyse a new a posteriori error estimator for general Friedrichs' systems valid for most classical finite element approximations. This error estimator is based on comparison between an appropriate norm of the exact error, and the L 2 -norm of the residuals of the approximate solution.
Jacques Baranger, Jean-François Maitre, Abdellatif Agouzal, Boujemaa Achchab   +3 more
openaire   +2 more sources

A new FDTD algorithm based on alternating-direction implicit method

, 1999
In this paper, a new finite-difference time-domain (FDTD) algorithm is proposed in order to eliminate the Courant-Friedrich-Levy (CFL) condition restraint. The new algorithm is based on an alternating-direction implicit method.
T. Namiki
semanticscholar   +1 more source

Protonated Titanates and TiO2 Nanostructured Materials: Synthesis, Properties, and Applications

, 2006
Tubular and fibrous nanostructures of titanates have recently been synthesized and characterized. Three general approaches (template assisted, anodic oxidation, and alkaline hydrothermal) for the preparation of nanostructured titanate and TiO2 are ...
D. Bavykin, J. Friedrich, F. Walsh
semanticscholar   +1 more source

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

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, Chiu-Yen Kao, Ching-Shan Chou   +2 more
openaire   +1 more source

Beyond the Courant-Friedrichs-Lewy condition: Numerical methods for the wave problem using deep learning

Journal of Computational Physics, 2021
Abstract We investigate a numerical method for approximating the solution of the one dimensional acoustic wave problem, when violating the numerical stability condition. We use deep learning to create an explicit non-linear scheme that remains stable for larger time steps and produces better accuracy than the reference implicit method.
Shai Dekel, Adar Kahana, Eli Turkel, Oded Ovadia   +3 more
openaire   +2 more sources

Tracking cancer drugs in living cells by thermal profiling of the proteome

Science, 2014
INTRODUCTION Understanding drug mechanism poses the daunting challenge of determining the affinity of the drug for all potential targets. Drug target engagement can be assessed by means of a cellular thermal shift assay (CETSA) based on ligand-induced ...
M. Savitski, Friedrich B M Reinhard, H. Franken, Thilo Werner, Maria Fälth Savitski, D. Eberhard, D. M. Molina, R. Jafari, R. Dovega, Susan Klaeger, B. Kuster, P. Nordlund, M. Bantscheff, G. Drewes   +13 more
semanticscholar   +1 more source

Hybrid functionals and GW approximation in the FLAPW method

Journal of Physics: Condensed Matter, 2012
We present recent advances in numerical implementations of hybrid functionals and the GW approximation within the full-potential linearized augmented-plane-wave (FLAPW) method.
C. Friedrich, Markus Betzinger, M. Schlipf, S. Blügel, A. Schindlmayr   +4 more
semanticscholar   +1 more source

Efficient PML Implementation for Approximate CN-FDTD Method

IEEE Antennas and Wireless Propagation Letters, 2019
Instead of applying the standard Crank–Nicolson (CN) method, an efficient perfectly matched layer (PML) based on the CN approximate-factorization-splitting (CNAFS) scheme is proposed to terminate three-dimensional (3-D) finite-difference time-domain ...
H. Jiang, T. Cui
semanticscholar   +1 more source

In Defense of Multiplicative Terms In Multiple Regression Equations

, 1982
Though the inclusion of multiplicative terms in multiple regression equations is often prescribed as a method for assessing interaction in multivariate relationships, the technique has been criticized for yielding results that are hard to interpret ...
R. Friedrich
semanticscholar   +1 more source