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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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Mathematical Models of Plasma Acceleration and Compression in Coaxial Channels,nd plasma compressors. The paper presents a short review of the theoretical, experimental, and numerical investigations in this area. A special attention is focused on the additional presence of a longitudinal magnetic field in the channel. Mathematical models of plasma acceleration and compression
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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.
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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 th
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Exponential Stability of Solutions to Delay Difference Equations with Periodic Coefficients,ic 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.
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Integral Operators at Settings and Investigations of Tensor Tomography Problems, 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
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On Numerical Methods for Hyperbolic PDE with Curl Involutions,tions 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
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