Titlebook: Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws; Philipp ?ffner Book 2023 The Editor(s) (if a

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書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws影響因子(影響力)




書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws影響因子(影響力)學(xué)科排名




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書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws被引頻次




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書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws年度引用學(xué)科排名




書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws讀者反饋




書目名稱Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws讀者反饋學(xué)科排名

Clinch

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隱語

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.

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模范

昏暗

Analysis, Re-interpretation and Extension of Entropy Correction Terms. In this following part, we focus on these correction terms and their suggested modification as presented in [267] deeper. We characterize them as solutions of certain optimization problems and adapt them to the SBP-SAT framework including discontinuous Galerkin and (multi-block) finite difference

Glaci冰

CREEK

Arbitrary High-order, Conservative and Positivity Preserving Patankar-type Deferred Correction Schem Chapter 6, the applied time integration method has also a big influence on the performance of the fully discrete scheme. Therefore, classical time integrations methods like RK and DeC have to be studied with respect to the desired properties.

Myelin

Summary & Outlookular, 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