Zobrazeno 1 - 10
of 250
pro vyhledávání: '"SONAR, THOMAS"'
Autor:
Klein, Simon-Christian, Sonar, Thomas
Finite volume methods are popular tools for solving time-dependent partial differential equations, especially hyperbolic conservation laws. Over the past 40 years a popular way of enlarging their robustness was the enforcement of global or local entr
Externí odkaz:
http://arxiv.org/abs/2302.08971
The conflict of priorities over the discovery of differential and integral calculus between Leibniz and Newton is one of the most violent and far-reaching conflicts in the history of science. It developed slowly - and interestingly- not as a result o
Externí odkaz:
http://library.oapen.org/handle/20.500.12657/27628
A recently introduced framework of semidiscretisations for hyperbolic conservation laws known as correction procedure via reconstruction (CPR, also known as flux reconstruction) is considered in the extended setting of summation-by-parts (SBP) operat
Externí odkaz:
http://arxiv.org/abs/1606.01056
The correction procedure via reconstruction (CPR, also known as flux reconstruction) is a framework of high order semidiscretisations used for the numerical solution of hyperbolic conservation laws. Using a reformulation of these schemes relying on s
Externí odkaz:
http://arxiv.org/abs/1606.00995
Publikováno v:
Math. Comp. 87 (2018), 175-207
We adapt the spectral viscosity (SV) formulation implemented as a modal filter to a Spectral Difference Method (SD) solving hyperbolic conservation laws. In the SD Method we use selections of different orthogonal polynomials (APK polynomials). Furthe
Externí odkaz:
http://arxiv.org/abs/1604.00929
Publikováno v:
Journal of Computational Physics, August 2017, Volume 342, pp 13-28
A generalised analytical notion of summation-by-parts (SBP) methods is proposed, extending the concept of SBP operators in the correction procedure via reconstruction (CPR), a framework of high-order methods for conservation laws. For the first time,
Externí odkaz:
http://arxiv.org/abs/1511.08408
Publikováno v:
Journal of Computational Physics, April 2016, Volume 311, pp. 299-328
The correction procedure via reconstruction (CPR, formerly known as flux reconstruction) is a framework of high order methods for conservation laws, unifying some discontinuous Galerkin, spectral difference and spectral volume methods. Linearly stabl
Externí odkaz:
http://arxiv.org/abs/1511.02052