Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems [PDF]
, 2021 The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved.
Grigorian, Gevorg A. +1 more
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WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions [PDF]
, 2010 The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-
Tsoutsanis, Panagiotis +2 more
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On second-order differential equations with highly oscillatory forcing terms [PDF]
, 2010 We present a method to compute efficiently solutions of systems of ordinary differential equations that possess highly oscillatory forcing terms. This approach is based on asymptotic expansions in inverse powers of the oscillatory parameter,and features ...
Deaño Cabrera, Alfredo +3 more
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Construction of convergent adaptive weighted essentially non-oscillatory schemes for Hamilton-Jacobi equations on triangular meshes [PDF]
, 2021 summary:We propose a method of constructing convergent high order schemes for Hamilton-Jacobi equations on triangular meshes, which is based on combining a high order scheme with a first order monotone scheme.
Hong, Unhyok +3 more
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Results in Physics, 2023 Introduction:: The chemical oscillators are identified as open system that demonstrate periodic changes in the concentration of some reaction species as a result of intricate physico-chemical mechanisms which can lead to bi-stability, the occurrence of ...
Ebrahem A. Algehyne +4 more
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Exact and approximate solutions of Riemann problems in non-linear elasticity [PDF]
, 2009 Eulerian shock-capturing schemes have advantages for modelling problems involving complex non-linear wave structures and large deformations in solid media.
Barton, Philip Trevor +7 more
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Oscillations of differential equations generated by several deviating arguments
Advances in Difference Equations, 2017 Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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A revisit on the characteristics of Yao-Cheng non-linear oscillator
Journal of Low Frequency Noise, Vibration and Active Control, 2023 We revisited the characteristic features of Yao-Cheng non-linear oscillator by employing both analytical as well as numerical approaches. Our study indicates that the solution of the non-linear oscillator shows oscillatory behaviour.
Biswanath Rath +8 more
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Study of Solutions for a Degenerate Reaction Equation with a High Order Operator and Advection
Mathematics, 2022 The goal of the present study is to characterize solutions under a travelling wave formulation to a degenerate Fisher-KPP problem. With the degenerate problem, we refer to the following: a heterogeneous diffusion that is formulated with a high order ...
José Luis Díaz Palencia +2 more
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Discontinuity Preserving Scheme [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 Non-linear schemes are widely used in high-speed flows to capture the discontinuities present in the solution. Limiters and weighted essentially non-oscillatory schemes (WENO) are the most common non-linear numerical schemes.
Arun Govind Neelan, Manoj T. Nair
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