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Relevant bibliographies by topics / Mollifiers

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Academic literature on the topic 'Mollifiers'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Mollifiers"

1

Korzyuk, V. I., and E. S. Cheb. "CAUCHY PROBLEM FOR A LINEAR HYPERBOLIC EQUATION OF THE SECOND ORDER." Mathematical Modelling and Analysis 11, no. 3 (2006): 275–94. http://dx.doi.org/10.3846/13926292.2006.9637318.

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The definition of hyperbolic equation by a prescribed vector field is introduced for linear differential equation of the second order. The Cauchy problem with prescribed boundary conditions is considered for such equations. The theorems of existence and uniqueness of a strong solution to the given problem are proved by the method of energy inequalities and mollifiers with variable step. Key words: hyperbolic equation, Cauchy problem, strong solution, energy inequality, mollifiers.

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Hielscher, Ralf, and Michael Quellmalz. "Optimal mollifiers for spherical deconvolution." Inverse Problems 31, no. 8 (2015): 085001. http://dx.doi.org/10.1088/0266-5611/31/8/085001.

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Farmer, David W. "Long mollifiers of the Riemann Zeta‐function." Mathematika 40, no. 1 (1993): 71–87. http://dx.doi.org/10.1112/s0025579300013723.

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Jongen, Hubertus Th, and Oliver Stein. "Smoothing by mollifiers. Part II: nonlinear optimization." Journal of Global Optimization 41, no. 3 (2007): 335–50. http://dx.doi.org/10.1007/s10898-007-9231-4.

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Bai, Yuzhen, and Lei Wu. "New Properties of Complex Functions with Mean Value Conditions." Abstract and Applied Analysis 2011 (2011): 1–10. http://dx.doi.org/10.1155/2011/167160.

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We apply mollifiers to study the properties of real functions which satisfy mean value conditions and present new equivalent conditions for complex analytic functions. New properties of complex functions with mean value conditions are given.

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Mironescu, Petru, and Xavier Lamy. "Characterization of function spaces via low regularity mollifiers." Discrete and Continuous Dynamical Systems 35, no. 12 (2015): 6015–30. http://dx.doi.org/10.3934/dcds.2015.35.6015.

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Riachy, Samer, Denis Efimov, and Mamadou Mboup. "Universal Integral Control: An Approach Based on Mollifiers." IEEE Transactions on Automatic Control 61, no. 1 (2016): 204–9. http://dx.doi.org/10.1109/tac.2015.2427631.

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Jongen, Hubertus Th, and Oliver Stein. "Smoothing by mollifiers. Part I: semi-infinite optimization." Journal of Global Optimization 41, no. 3 (2007): 319–34. http://dx.doi.org/10.1007/s10898-007-9232-3.

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Tadmor, Eitan. "Filters, mollifiers and the computation of the Gibbs phenomenon." Acta Numerica 16 (April 24, 2007): 305–78. http://dx.doi.org/10.1017/s0962492906320016.

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We are concerned here with processing discontinuous functions from their spectral information. We focus on two main aspects of processing such piecewise smooth data: detecting the edges of a piecewise smooth f, namely, the location and amplitudes of its discontinuities; and recovering with high accuracy the underlying function in between those edges. If f is a smooth function, say analytic, then classical Fourier projections recover f with exponential accuracy. However, if f contains one or more discontinuities, its global Fourier projections produce spurious Gibbs oscillations which spread th

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Cochran, Doug, Anne Gelb, and Yang Wang. "Edge detection from truncated Fourier data using spectral mollifiers." Advances in Computational Mathematics 38, no. 4 (2011): 737–62. http://dx.doi.org/10.1007/s10444-011-9258-4.

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Dissertations / Theses on the topic "Mollifiers"

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Liu, Shenhui. "Automorphic L-Functions and Their Derivatives." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1499965951825371.

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Wang, Xiaojun. "Well-posedness results for a class of complex flow problems in the high Weissenberg number limit." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/27669.

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For simple fluids, or Newtonian fluids, the study of the Navier-Stokes equations in the high Reynolds number limit brings about two fundamental research subjects, the Euler equations and the Prandtl's system. The consideration of infinite Reynolds number reduces the Navier-Stokes equations to the Euler equations, both of which are dealing with the entire flow region. Prandtl's system consists of the governing equations of the boundary layer, a thin layer formed at the wall boundary where viscosity cannot be neglected. In this dissertation, we investigate the upper convected Maxwell(UCM) mod

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Böckmann, Christine, Jens Biele, Roland Neuber, and Jenny Niebsch. "Retrieval of multimodal aerosol size distribution by inversion of multiwavelength data." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2007/1436/.

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The ill-posed problem of aerosol size distribution determination from a small number of backscatter and extinction measurements was solved successfully with a mollifier method which is advantageous since the ill-posed part is performed on exactly given quantities, the points r where n(r) is evaluated may be freely selected. A new twodimensional model for the troposphere is proposed.

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Farias, Marcos Alves de. "O problema de Cauchy para a equação da onda cúbica." Universidade Federal de São Carlos, 2011. https://repositorio.ufscar.br/handle/ufscar/5878.

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Made available in DSpace on 2016-06-02T20:28:26Z (GMT). No. of bitstreams: 1 3788.pdf: 684718 bytes, checksum: 743ac325dfb93fd96a6cc9b15d66467d (MD5) Previous issue date: 2011-05-27<br>Financiadora de Estudos e Projetos<br>In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u&#56256;&#56320;_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs&#56256;&#56320;1(R3) with 13 18 < s < 1. The proof is based on the work of T. Roy, [23], in this paper Roy propose a almost conservation law for the energy and from this he get a inequality

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Bernard, Damien. "Statistique des zéros non-triviaux de fonctions L de formes modulaires." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2013. http://tel.archives-ouvertes.fr/tel-00922713.

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Cette thèse se propose d'obtenir des résultats statistiques sur les zéros non-triviaux de fonctions L. Dans le cas des fonctions L de formes modulaires, on prouve qu'une proportion positive explicite de zéros non-triviaux se situe sur la droite critique. Afin d'arriver à ce résultat, il nous faut préalablement étendre un théorème sur les problèmes de convolution avec décalage additif en moyenne de manière à déterminer le comportement asymptotique du second moment intégral ramolli d'une fonction L de forme modulaire au voisinage de la droite critique. Une autre partie de cette thèse, indépendan

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Zhang, Liangliang. "Essays on numerical solutions to forward-backward stochastic differential equations and their applications in finance." Thesis, 2017. https://hdl.handle.net/2144/26430.

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In this thesis, we provide convergent numerical solutions to non-linear forward-BSDEs (Backward Stochastic Differential Equations). Applications in mathematical finance, financial economics and financial econometrics are discussed. Numerical examples show the effectiveness of our methods.

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Thompson, William. "Analysis of a mollified kinetic equation for granular media." Thesis, 2016. http://hdl.handle.net/1828/7438.

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We study a nonlinear kinetic model describing the interactions of particles in a granular medium, i.e. inelastic systems where kinetic energy is not conserved due to internal friction. Examples of particles that fall into this category are sand, ground coffee and many others. Originally studied by Benedetto, Caglioti and Pulvirenti in the one-dimensional setting (RAIRO Model. Math. Anal. Numer, 31(5): 615-641, (1997)) the original model contained inconsistencies later accounted for and corrected by invoking a mollifier (Modelisation Mathematique et Analyse Numerique, M2AN, Vol. 33, No 2, pp.

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Books on the topic "Mollifiers"

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Freeden, Willi. Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3.

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Isett, Philip. Preparatory Lemmas. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0014.

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This chapter prepares for the proof by introducing a method concerning the general rate of convergence of mollifiers. The lemma takes into account the multi-index, the moment vanishing conditions, and smooth functions. An explanation for reducing the number of minus signs appearing in the proof is offered. The case N = 2 of the above lemma suffices for the proof of the main theorem. The chapter considers another way to work out the details relating to the lemma, which will be repeatedly used in the remainder of the proof. In particular, it describes functions whose integrals are not normalized

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Isett, Philip. Mollification along the Coarse Scale Flow. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0018.

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This chapter shows how to construct the appropriate mollification of the Reynolds stress along the coarse scale flow. Unlike the velocity field, which was only mollified in the spatial variables and which earned its time-regularity through the Euler-Reynolds equation, the Reynolds stress must be mollified in both space and time. Mollification along the flow is consistent with the Galilean invariance of the equations. After considering the problem of mollifying the stress in time, the chapter explains how the stress can be mollified in both space and time. It then chooses the mollification para

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Book chapters on the topic "Mollifiers"

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Otero, Daniel, Davide La Torre, and Edward R. Vrscay. "Structural Similarity-Based Optimization Problems with $$L^1$$ -Regularization: Smoothing Using Mollifiers." In Lecture Notes in Computer Science. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20801-5_4.

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Iwaniec, H. "Attaching a mollifier." In Lectures on the Riemann Zeta Function. American Mathematical Society, 2014. http://dx.doi.org/10.1090/ulect/062/20.

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Schuster, Thomas. "Design of a mollifier." In The Method of Approximate Inverse: Theory and Applications. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-71227-5_12.

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Freeden, Willi. "Concluding Remarks." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_16.

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Freeden, Willi. "Decorrelative Acoustic Potential-Based Exploration." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_14.

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Freeden, Willi. "Volume Methodology." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_10.

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Freeden, Willi. "Decorrelative Elastic Potential-Based Exploration." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_15.

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Freeden, Willi. "Decorrelative Monopole Potential-Based Gravimetry." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_12.

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Freeden, Willi. "Space versus Frequency Surface Modeling." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_7.

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Freeden, Willi. "Gravitation." In Decorrelative Mollifier Gravimetry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69909-3_2.

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Conference papers on the topic "Mollifiers"

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Léandre, Rémi. "Stochastic mollifier and Nash inequality." In Proceedings of the First Sino-German Conference on Stochastic Analysis (A Satellite Conference of ICM 2002). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702241_0016.

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Noo, F., K. Schmitt, K. Stierstorfer, and H. Schondube. "Image representation using mollified pixels for iterative reconstruction in x-ray CT." In 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (2012 NSS/MIC). IEEE, 2012. http://dx.doi.org/10.1109/nssmic.2012.6551787.

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Li, Jiazhi, Sunghyon Jang, and Akira Yamaguchi. "Enhancement of Pressure and Curvature Calculation for the Moving Particle Semi-Implicit Method." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-82205.

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This paper aims at illustrating a number of methods for stabilizing pressure solution and improving surface curvature calculation for the simulation using the moving particle semi-implicit (MPS) method. The unphysical numerical oscillation of pressure originated from the original MPS method can be suppressed by adjusting the collision coefficient in the collision model and using a specific weight function for avoiding the occurrence of excessive pressure value when particles get closer. The pressure gradient solver and the poison pressure equations (PPE) are also modified by implementing a mix

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