Results 21 to 30 of about 5,593 (253)

CNN-Based Temporal Video Segmentation Using a Nonlinear Hyperbolic PDE-Based Multi-Scale Analysis

open access: yesMathematics, 2023
An automatic temporal video segmentation framework is introduced in this article. The proposed cut detection technique performs a high-level feature extraction on the video frames, by applying a multi-scale image analysis approach combining nonlinear ...
Tudor Barbu
doaj   +1 more source

On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]

open access: yes, 2012
30.10.12 KB.
Garetto, Claudia   +7 more
core   +1 more source

Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials

open access: yesAdvances in Mathematical Physics, 2018
The advantageous Green’s function method that originally has been developed for nonhomogeneous linear equations has been recently extended to nonlinear equations by Frasca.
Asatur Zh. Khurshudyan
doaj   +1 more source

Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]

open access: yes, 2006
Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
core   +1 more source

APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

Efficient explicit time integration for the simulation of acoustic and electromagnetic waves [PDF]

open access: yes, 2015
The efficient and accurate numerical simulation of time-dependent wave phenomena is of fundamental importance in acoustic, electromagnetic or seismic wave propagation.
Mehlin, Michaela
core   +1 more source

Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
doaj   +1 more source

An H1-Galerkin Expanded Mixed Finite Element Approximation of Second-Order Nonlinear Hyperbolic Equations

open access: yesAbstract and Applied Analysis, 2013
We investigate an H1-Galerkin expanded mixed finite element approximation of nonlinear second-order hyperbolic equations, which model a wide variety of phenomena that involve wave motion or convective transport process.
Zhaojie Zhou, Weiwei Wang, Huanzhen Chen
doaj   +1 more source

Relative entropy in diffusive relaxation [PDF]

open access: yes, 2012
We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum.
Tzavaras, Athanasios E.   +1 more
core   +1 more source

A New (G'/G)-Expansion Method and Its Application to the Burgers Equation

open access: yesWalailak 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

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