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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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11#
發(fā)表于 2025-3-23 12:13:47 | 只看該作者
12#
發(fā)表于 2025-3-23 17:06:27 | 只看該作者
https://doi.org/10.1007/978-3-531-19592-6e motion of a finite mass of an ideal self-gravitating gas limited by a free boundary. A theorem of existence and uniqueness of the solution of the problem of motion of a rarefied gas in the space of infinitely differentiable functions is formulated and proved. The solution is constructed as a serie
13#
發(fā)表于 2025-3-23 18:10:55 | 只看該作者
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.
14#
發(fā)表于 2025-3-23 22:55:47 | 只看該作者
https://doi.org/10.1007/978-3-531-19619-0 complex-valued absorption, the weights of more general form, and the internal sources depending on time. Connections between ART of various orders are established, and corresponding differential equations and uniqueness theorems are obtained. We define the angular moments of ART of order ., represe
15#
發(fā)表于 2025-3-24 04:52:18 | 只看該作者
16#
發(fā)表于 2025-3-24 08:39:04 | 只看該作者
https://doi.org/10.1007/978-3-531-19619-0tions for continuum physics. All approaches have a direct analogy to existing and well-known divergence-preserving schemes for the Maxwell and MHD equations. The first method consists in a generalization of the Godunov–Powell terms, which means adding suitable multiples of the involution constraints
17#
發(fā)表于 2025-3-24 11:06:07 | 只看該作者
18#
發(fā)表于 2025-3-24 15:27:20 | 只看該作者
https://doi.org/10.1007/978-3-531-19619-0such systems suffer from a few major deficiencies such as nonuniform coverage of space, loss of accuracy close to the pole, and severe limitation on time stepping. Additionally, it becomes increasingly important to have higher orders of accuracy in order to reduce the dissipation and dispersion. In
19#
發(fā)表于 2025-3-24 19:30:34 | 只看該作者
https://doi.org/10.1007/978-3-531-19469-1The transport equation in an inhomogeneous medium is considered. The coefficients of this equation undergo a gap at the boundaries of inhomogeneities. To search for discontinuity surfaces of these coefficients, it is proposed to consider a function that will be unbounded on them.
20#
發(fā)表于 2025-3-25 02:26:21 | 只看該作者
Andrea De Vincenti,Michael GeissFor the Mathieu–Hill equations ., where . is a small parameter and .(.,?.) is a polynomial in the variable . with almost periodic coefficients by ., we propose a modification of the asymptotic averaging method leading to .-independent autonomous systems.
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