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Titlebook: Continuum Mechanics, Applied Mathematics and Scientific Computing:Godunov‘s Legacy; A Liber Amicorum to Gennadii V. Demidenko,Evgeniy Rome

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楼主: 固执已见
发表于 2025-3-26 23:15:04 | 显示全部楼层
Pseudospectrum and Different Quality of Stability Parameters, it allows to solve Hurwitz and Schur stability problems, but do not give information about their correctness. The paper gives a view of the quality of stability parameters for Hurwitz and Schur problems. These parameters one can use as the condition numbers for corresponds problems.
发表于 2025-3-27 04:54:53 | 显示全部楼层
Well-Balanced High-Order Methods for Systems of Balance Laws,tor, i.e., an operator that, given the cell averages of a function, provides high-order approximations of the function at the cells. The key concept of well-balanced reconstruction operator is discussed. Burgers’ equation with a nonlinear source term is considered to illustrate the application of the methods.
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发表于 2025-3-27 11:28:06 | 显示全部楼层
Andrea De Vincenti,Michael Geisss of a rather general shape. The distinctive feature of this algorithm is the absence of the leading error term, which, as a result, enables us to automatically adjust to arbitrary extra (extraordinary) supplies of smoothness of the sought solutions. In the case of .-smoothness, the solutions are constructed with exponential estimate for error.
发表于 2025-3-27 15:22:44 | 显示全部楼层
Andrea De Vincenti,Michael Geiss general, very difficult to obtain. In the present work, we present a suitable control of the numerical artificial viscosity in order to recover the expected discrete entropy inequalities. Moreover, the artificial viscosity control turns out to be very easy and the resulting numerical implementation is very convenient.
发表于 2025-3-27 18:21:07 | 显示全部楼层
https://doi.org/10.1007/978-3-531-19530-8 it allows to solve Hurwitz and Schur stability problems, but do not give information about their correctness. The paper gives a view of the quality of stability parameters for Hurwitz and Schur problems. These parameters one can use as the condition numbers for corresponds problems.
发表于 2025-3-27 23:27:28 | 显示全部楼层
发表于 2025-3-28 03:59:38 | 显示全部楼层
https://doi.org/10.1007/978-3-531-19592-6ic stability of the zero solution to the systems and obtain estimates of the stabilization rate of solutions at infinity. When obtaining the results we use a discrete analog of Lyapunov–Krasovskii functional.
发表于 2025-3-28 06:17:31 | 显示全部楼层
发表于 2025-3-28 10:39:42 | 显示全部楼层
https://doi.org/10.1007/978-3-531-19619-0eld, (c) multidimensional Riemann solvers, (d) higher order timestepping to match the spatial accuracy. A few representative test problems are presented here to highlight the utility of our present approach.
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