宠爱
发表于 2025-3-26 23:01:10
https://doi.org/10.1007/978-3-642-95087-2r, in the following chapter, we have an another topic in mind. In the DGSEM, the used quadrature rules have an enormous influence on the performance of the schemes, and, in general, Gauss-Lobatto or Gauss-Legendre quadratures are nowadays applied in the DGSEM by default.
短程旅游
发表于 2025-3-27 04:12:50
https://doi.org/10.1007/978-3-642-95087-2n 3.3 and investigated their approximation properties later in Chapter 4, especially for the one-parameter family of Vincent et al., where linear stability of the methods has already been used. What one has maybe noticed that we have not spoken about entropy conservation of FR methods (except the FR
影响深远
发表于 2025-3-27 06:50:53
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Offbeat
发表于 2025-3-27 13:07:34
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Aggressive
发表于 2025-3-27 16:33:04
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说明
发表于 2025-3-27 21:35:22
,Über Vitamine und Avitaminosen,ular, I have presented novel results concerning approximation and stability properties of several high-order schemes and have constructed new methods with desirable properties for both conservation laws and production – destruction systems. With the progress made here, I was able to close some gaps
excrete
发表于 2025-3-27 22:08:37
Numerical Schemes for Hyperbolic Problemsenty of various methods and studies in the literature cf. . However, most of them are either based on finite difference (FD) or finite element approaches (FE), and we focus also here on these.
自恋
发表于 2025-3-28 05:23:12
Long-time Error Behavior of Discontinuous Galerkin and Flux Reconstructione literature . In some of the mentioned papers stable approximation of hyperbolic conservation laws exhibit a linear (or nearly linear) error growth in time, even though stability of the numerical schemes should prohibit this whereas in the error remains bounded.
concise
发表于 2025-3-28 06:28:45
Uncertainty Quantification for Burgers’ Equationdata and, in general, one distinguishes between numerical errors which we already investigated and these uncertainties. The errors are strictly deterministic quantities, whereas the uncertainties are stochastic quantities.
definition
发表于 2025-3-28 10:41:00
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