Determinism, well-posedness, and applications of the ultrahyperbolic wave equation in spacekime
Partial Differential Equations in Applied Mathematics, 2022 Spatiotemporal dynamics of many natural processes, such as elasticity, heat propagation, sound waves, and fluid flows are often modeled using partial differential equations (PDEs).
Yuxin Wang +3 more
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
Discrete and Continuous Models and Applied Computational Science, 2021 In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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Plane problem of discrete environment mechanics
Проблеми трибології, 2022 Many engineering problems related to the design of structures and machines, the mathematical description of technological processes, etc., are reduced to the need to solve a plane problem for materials with a significant effect of internal friction on ...
O.V. Bagrii
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On eigenvalues of third order composite type equations with regular boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the paper the question about distribution of eigenvalues of third - order composite type equations with regular, more precisely, with periodic boundary value conditions is studied.
N.S. Imanbaev, M.N. Ospanov
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Two-point boundary value problems for linear evolution equations [PDF]
, 2001 We study boundary value problems for a linear evolution equation with spatial derivatives of arbitrary order, on the domain 0 < x < L, 0 < t < T, with L and T positive nite constants.
Fokas, A. S., Pelloni, B.
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Elastic Equilibrium of Porous Cosserat Media with Double Porosity
Advances in Mathematical Physics, 2016 The static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived.
Roman Janjgava
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Riemann-Hilbert problems for monogenic functions in axially symmetric domains [PDF]
, 2016 We consider Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric domains.
AS Fokas +32 more
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Boundary element method application to numerical solving of linear boundary-value problems in domains with strongly segmented boundary [PDF]
, 2019 В настоящей работе метод граничных элементов был применен к решению краевых задач для уравнения Лапласа в плоской области с сильно сегментированной границей. Особое внимание было уделено точности численного решения, которая исследовалась путем численного
Бразалук, Юлия Владимировна
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Traces and Quasi-traces on the Boutet de Monvel Algebra [PDF]
, 2004 We construct an analogue of Kontsevich and Vishik's canonical trace for a class of pseudodifferential boundary value problems in Boutet de Monvel's calculus on compact manifolds with boundary.
Grubb, Gerd, Schrohe, Elmar
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Wave diffraction by wedges having arbitrary aperture angle [PDF]
, 2015 The problem of plane wave diffraction by a wedge sector having arbitrary aperture angle has a very long and interesting research background. In fact, we may recognize significant research on this topic for more than one century.
Adams +73 more
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