Results 41 to 50 of about 122,957 (282)
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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The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
, 2018 This paper extends, to a class of systems of semi-linear hyperbolic second order PDEs in three variables, the geometric study of a single nonlinear hyperbolic PDE in the plane as presented in [Anderson I.M., Kamran N., Duke Math. J.
Froehlich, Sara
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Blow-up of the hyperbolic Burgers equation
, 2007 The memory effects on microscopic kinetic systems have been sometimes modelled by means of the introduction of second order time derivatives in the macroscopic hydrodynamic equations. One prototypical example is the hyperbolic modification of the Burgers
A. D. Khonkin +7 more
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The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies [PDF]
, 2017 A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein-Euler
Alho, Artur +2 more
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A New (G'/G)-Expansion Method and Its Application to the Burgers Equation
Walailak Journal of Science and Technology, 2013 In this article, a new (G'/G)-expansion method is proposed, where G = G(S) satisfies a second order nonlinear ordinary differential equation to seek the travelling wave solutions of nonlinear evolution equations.
Md. Nur ALAM, M. Ali AKBAR
doaj +1 more source
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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Blow-up for solutions of hyperbolic PDE and spacetime singularities [PDF]
, 2000 An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is ...
Rendall, Alan D.
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source
Journal of Taibah University for Science, 2020 In this study, we consider the third order nonlinear Schrödinger equation (TONSE) that models the wave pulse transmission in a time period less than one-trillionth of a second.
Yeşim Sağlam Özkan +2 more
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Hyperbolicity and Constrained Evolution in Linearized Gravity
, 2004 Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second order evolution equations.
Heinz-O. Kreiss +3 more
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