Academic literature on the topic 'Haar waves'

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Journal articles on the topic "Haar waves"

1

Pandit, Sapna, Manoj Kumar, R. N. Mohapatra, and Ali Saleh Alshomrani. "Shock waves analysis of planar and non planar nonlinear Burgers’ equation using Scale-2 Haar wavelets." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 8 (2017): 1814–50. http://dx.doi.org/10.1108/hff-05-2016-0188.

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Purpose This paper aims to find the numerical solution of planar and non-planar Burgers’ equation and analysis of the shock behave. Design/methodology/approach First, the authors discritize the time-dependent term using Crank–Nicholson finite difference approximation and use quasilinearization to linearize the nonlinear term then apply Scale-2 Haar wavelets for space integration. After applying this scheme on partial differential, the equation transforms into a system of algebraic equation. Then, the system of equation is solved using Gauss elimination method. Findings Present method is the ex
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Kudreyko, Aleksey, and Nail Migranov. "A New Solution for the Director Relaxation Problem in Twisted Nematic Film Based on Wavelet Analysis." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–8. http://dx.doi.org/10.1155/2011/746918.

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The present research considers and explains the application of the Haar wavelets as basis functions in solution of the propagation of perturbations in low-dimensional anisotropic media. The computations of the relaxation problem in the form of traveling waves have shown that the present approach possesses several advantages over regular methods.
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Rajaguru, Harikumar, and Vijayakumar Thangavel. "Wavelets and Morphological Operators Based Classification of Epilepsy Risk Levels." Mathematical Problems in Engineering 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/813197.

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The objective of this paper is to compare the performance of Singular Value Decomposition (SVD), Expectation Maximization (EM), and Modified Expectation Maximization (MEM) as the postclassifiers for classifications of the epilepsy risk levels obtained from extracted features through wavelet transforms and morphological filters from EEG signals. The code converter acts as a level one classifier. The seven features such as energy, variance, positive and negative peaks, spike and sharp waves, events, average duration, and covariance are extracted from EEG signals, out of which four parameters lik
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Fenyvesi, Edit, József Molnár, and Sándor Czellár. "Investigation of Infrasound Background Noise at Mátra Gravitational and Geophysical Laboratory (MGGL)." Universe 6, no. 1 (2020): 10. http://dx.doi.org/10.3390/universe6010010.

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Infrasound and seismic waves are supposed to be the main contributors to the gravity-gradient noise (Newtonian noise) of the third-generation subterranean gravitational wave detectors. This noise will limit the sensitivity of the instrument at frequencies below 20 Hz. Investigation of its origin and the possible methods of mitigation have top priority during the designing period of the detectors. Therefore, long-term site characterizing measurements are needed at several subterranean sites. However, at some sites, mining activities can occur. These activities can cause sudden changes (transien
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Zahmatkesh, Homayoon, and Abbas Abedeni. "Non-Parametric Wavelet Functional Analysis for Horizontal and Vertical displacements Derived from GPS Stations in Western Alaska during the Year 2012." Earth Science Research 6, no. 2 (2017): 112. http://dx.doi.org/10.5539/esr.v6n2p112.

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In order to analyze the dynamic processes of the Earth interior and the effect of the propagation of the seismic waves to the surface, a comprehensive study of the Earth crust kinematics is necessary. Although the Global Positing System (GPS) is a powerful method to measure ground displacements and velocities both horizontally and vertically as well as to infer the tectonic stress regime generated by the subsurface processes (from local fault systems to huge tectonic plate movements and active volcanoes), the complexity of the deformation pattern generated during such movements is not always e
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Ratas, Mart, and Andrus Salupere. "APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS." Mathematical Modelling and Analysis 25, no. 2 (2020): 271–88. http://dx.doi.org/10.3846/mma.2020.11112.

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The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the Korteweg-de Vries equation are considered as model problems. The detailed analysis of the accuracy of the Haar wavelet method and the higher order Haar wavelet method is performed. The obtained results are validated against the exact solutions.
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Bernhardt, P. A., C. A. Selcher, R. H. Lehmberg, et al. "Determination of the electron temperature in the modified ionosphere over HAARP using the HF pumped Stimulated Brillouin Scatter (SBS) emission lines." Annales Geophysicae 27, no. 12 (2009): 4409–27. http://dx.doi.org/10.5194/angeo-27-4409-2009.

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Abstract. An ordinary mode electromagnetic wave can decay into an ion acoustic wave and a scattered electromagnetic wave by a process called stimulated Brillouin scatter (SBS). The first detection of this process during ionospheric modification with high power radio waves was reported by Norin et al. (2009) using the HAARP transmitter in Alaska. Subsequent experiments have provided additional verification of this process and quantitative interpretation of the scattered wave frequency offsets to yield measurements of the electron temperatures in the heated ionosphere. Using the SBS technique, e
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Platino, M., U. S. Inan, T. F. Bell, et al. "Cluster observations of ELF/VLF signals generated by modulated heating of the lower ionosphere with the HAARP HF transmitter." Annales Geophysicae 22, no. 7 (2004): 2643–53. http://dx.doi.org/10.5194/angeo-22-2643-2004.

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Abstract. It is now well known that amplitude modulated HF transmissions into the ionosphere can be used to generate ELF/VLF signals using the so-called "electrojet antenna". Although most observations of the generated ELF/VLF signals have been made on the ground, several low and high-altitude satellite observations have also been reported (James et al., 1990). One of the important unknowns in the physics of ELF/VLF wave generation by ionospheric heating is the volume of the magnetosphere illuminated by the ELF/VLF waves. In an attempt to investigate this question further, ground-satellite con
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Tsuda, Yuichi, and Yoshihiro Nomura. "Direct Observation of Hair Components Involved in Formation of Permanent Waves." Sen'i Gakkaishi 69, no. 4 (2013): 65–72. http://dx.doi.org/10.2115/fiber.69.65.

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10

Gopalakrishnan, Hariharan, R. Rajaraman Raman, and K. Kannan Kirthivasan. "Haar wavelets approach of traveling wave equation- A plausible solution of lightning stroke model." International Journal of Engineering & Technology 2, no. 2 (2013): 149. http://dx.doi.org/10.14419/ijet.v2i2.869.

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This paper describes a traveling wave model for describing the lightning stroke by the Haar wavelet method (HWM) is proposed. Numerical example is included and illustrated for applicability and validity of the proposed method. The fundamental idea of Haar wavelet method is to convert the differential equations into a group of algebraic equations that involves a finite number of variables. The power of the manageable method is confirmed. The results show that the proposed way is quite reasonable when compared to exact solution. Moreover the use of Haar wavelets is found to be accurate, simple,
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