Results 21 to 30 of about 88,453 (147)
Numerical solution of special ultra-relativistic Euler equations using central upwind scheme
Results in Physics, 2018 This article is concerned with the numerical approximation of one and two-dimensional special ultra-relativistic Euler equations. The governing equations are coupled first-order nonlinear hyperbolic partial differential equations.
Tayabia Ghaffar +2 more
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On the many-body problem with short-range interaction
Discrete and Continuous Models and Applied Computational Science, 2022 The classical problem of the interaction of charged particles is considered in the framework of the concept of short-range interaction. Difficulties in the mathematical description of short-range interaction are discussed, for which it is necessary to ...
Mark M. Gambaryan, Mikhail D. Malykh
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A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model [PDF]
, 2010 The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution.
Alvarez-Samaniego +42 more
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ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement [PDF]
, 2015 We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained through a WENO reconstruction, while a high order one-step time ...
Balsara, Dinshaw S. +3 more
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, 2012 In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
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Structural stability of Supersonic solutions to the Euler-Poisson system
, 2019 The well-posedness for the supersonic solutions of the Euler-Poisson system for hydrodynamical model in semiconductor devices and plasmas is studied in this paper. We first reformulate the Euler-Poisson system in the supersonic region into a second order
Bae, Myoungjean +3 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions.
T. V. Red'kina, O. V. Novikova
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On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 2. Numerical examples [PDF]
Компьютерные исследования и моделирование, 2016 WENO schemes (weighted, essentially non oscillating) are currently having a wide range of applications as approximate high order schemes for discontinuous solutions of partial differential equations. These schemes are used for direct numerical simulation
Nikolay Mikhaylovitch Evstigneev
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BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including solitonic ...
T. V. Red'kina, O. V. Novikova
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On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction [PDF]
Results in Nonlinear Analysis, 2018 The present paper is devoted to the investigation of lossless transmission lines with Josephson junction. Such lines are described by first order nonlinear hyperbolic system partial differential equations.
Ljubomir P. Georgiev
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