Books on the topic 'Numerical analysis – Numerical methods in Fourier analysis – Wavelets'

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1

Michel, Volker. Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball. Boston: Birkhäuser Boston, 2013.

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2

Numerical analysis of wavelet methods. Amsterdam: Elsevier, 2003.

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3

Gasquet, Claude. Fourier analysis and applications: Filtering, numerical computation, wavelets. New York: Springer, 1999.

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4

Gasquet, C. Fourier analysis and applications: Filtering, numerical computation, wavelets. New York, N.Y: Springer, 1999.

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5

Applied functional analysis: Numerical methods, wavelet methods, and image processing. New York: M. Dekker, 2004.

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6

1950-, Joppich W., ed. Practical Fourier analysis for multigrid methods. Boca Raton, FL: Chapman & Hall/CRC, 2005.

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7

Mercier, Bertrand. An introduction to the numerical analysis of spectral methods. Berlin: Springer-Verlag, 1989.

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8

Hitzer, Eckhard. Quaternion and Clifford Fourier Transforms and Wavelets. Basel: Springer Basel, 2013.

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9

Nievergelt, Yves. Wavelets Made Easy. New York, NY: Springer New York, 2013.

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10

Imaging, multi-scale, and high-contrast partial differential equations: Seoul ICM 2014 Satellite Conference, August 7-9, 2014, Daejeon, Korea. Providence, Rhode Island: American Mathematical Society, 2016.

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11

Zhukova, Galina, and Margarita Rushaylo. The mathematical analysis. Volume 2. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072172.

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The aim of the tutorial is to help students to master the basic concepts and methods of the study of calculus. In volume 2 we study analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Taylor series and Maclaurin, and Fourier series; applications to the analysis and solution of applied problems. Great attention is paid to comparison of these methods, the proper choice of study design tasks, analyze complex situations that arise in the study of these branches of mathematical analysis. For self-training and quality control knowledge given test questions. For teachers, students and postgraduate students studying mathematical analysis.
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12

Bertoluzza, Silvia. Multiscale and Adaptivity: Modeling, Numerics and Applications: C.I.M.E. Summer School, Cetraro, Italy 2009

Editors: Giovanni Naldi, Giovanni Russo

. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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13

Zhukova, Galina, and Margarita Rushaylo. Mathematical analysis in examples and tasks. Part 2. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072162.

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The purpose of the textbook is to help students to master basic concepts and research methods used in mathematical analysis. In part 2 of the proposed cycle of workshops on the following topics: analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Fourier series; applications to the analysis and solution of applied problems. These topics are studied in universities, usually in the second semester in the discipline "Mathematical analysis" or the course "Higher mathematics", "Mathematics". For the development of each topic the necessary theoretical and background material, reviewed a large number of examples with detailed analysis and solutions, the options for independent work. For self-training and quality control of the acquired knowledge in each section designed exercises and tasks with answers and guidance. It is recommended that teachers, students and graduate students studying advanced mathematics.
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14

Lectures On Constructive Approximation Fourier Spline And Wavelet Methods On The Real Line The Sphere And The Ball. Birkhauser Boston Inc, 2012.

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15

A, Cohen. Numerical Analysis of Wavelet Methods. Elsevier Science & Technology Books, 2003.

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16

Gasquet, Claude, Patrick Witomski, and R. Ryan. Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets. Springer, 2014.

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17

Cohen, A. Numerical Analysis of Wavelet Methods. JAI Press, 2003.

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18

Gasquet, Claude, and Robert D. Ryan. Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics). Springer, 1998.

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19

Wienands, Roman, and Wolfgang Joppich. Practical Fourier Analysis for Multigrid Methods (Numerical Insights). Chapman & Hall/CRC, 2004.

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20

(Editor), John J. Benedetto, and Ahmed Zayed (Editor), eds. Sampling, Wavelets, and Tomography (Applied and Numerical Harmonic Analysis). Birkhäuser Boston, 2003.

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21

Wienands, Roman, and Wolfgang Joppich. Practical Fourier Analysis for Multigrid Methods. Taylor & Francis Group, 2004.

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22

David, Gottlieb, Shu Chi-Wang, and Langley Research Center, eds. Non-oscillating spectral Fourier methods for shock wave calculations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1988.

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23

David, Gottlieb, Shu Chi-Wang, and Langley Research Center, eds. Non-oscillating spectral Fourier methods for shock wave calculations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1988.

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24

Gasquet, Claude, and Patrick Witomski. Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics). Springer, 2013.

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25

Yilmaz, Fatih, María Jesús Santos Sánchez, Araceli Queiruga-Dios, Jesús Martín-Vaquero, and Melek Sofyalioğlu, eds. International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020). Ediciones Universidad de Salamanca, 2020. http://dx.doi.org/10.14201/0aq0302.

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This abstract booklet includes the abstracts of the papers that have been presented at International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020) which is held in Ankara Hacı Bayram Veli University, Ankara, Turkey between 9-10 July, 2020, via Online because of Covid 19 pandemia. The aim of this conference is to exchange ideas, discuss developments in mathematics, develop collaborations and interact with professionals and researchers from all over the world in with some of the following interesting topics: Functional Analysis, Approximation Theory, Real Analysis, Complex Analysis, Harmonic and non-Harmonic Analysis, Applied Analysis, Numerical Analysis, Geometry, Topology and Algebra, Modern Methods in Summability and Approximation, Operator Theory, Fixed Point Theory and Applications, Sequence Spaces and Matrix Transformation, Modern Methods in Summability and Approximation, Spectral Theory and Diferantial Operators, Boundary Value Problems, Ordinary and Partial Differential Equations, Discontinuous Differential Equations, Convex Analysis and its Applications, Optimization and its Application, Mathematics Education, Application on Variable Exponent Lebesgue Spaces, Applications on Differential Equations and Partial Differential Equations, Fourier Analysis, Wavelet and Harmonic Analysis Methods in Function Spaces, Applications on Computer Engineering, Flow Dynamics. However, the talks are not restricted to these subjects only. I am pleased to tell that this conference is also organized as a final multiplier event of the Rules_Math Project, supported by the EU.
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26

Shearlets Multiscale Analysis For Multivariate Data. Birkh User, 2012.

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27

Hung, Chang, and Langley Research Center, eds. On waveform multigrid method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.

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28

Hitzer, Eckhard, and Stephen J. Sangwine. Quaternion and Clifford Fourier Transforms and Wavelets. Birkhäuser, 2015.

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29

Nievergelt, Yves. Wavelets Made Easy. Birkhäuser, 2012.

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30

Wavelets Made Easy. Birkhäuser, 2012.

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31

Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis (Applied and Numerical Harmonic Analysis). Birkhäuser, 2009.

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32

Center, Goddard Space Flight, ed. Spectral and spectral-element methods: Lecture notes in high performance computational physics. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1997.

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33

Spectral and spectral-element methods: Lecture notes in high performance computational physics. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1997.

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34

Center, Goddard Space Flight, ed. Spectral and spectral-element methods: Lecture notes in high performance computational physics. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1997.

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35

Center, Goddard Space Flight, ed. Spectral and spectral-element methods: Lecture notes in high performance computational physics. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1997.

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36

Chan, Tony, Robert Haimes, and Timothy J. Barth. Multiscale and Multiresolution Methods: Theory and Applications. Springer, 2011.

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37

(Editor), Timothy J. Barth, Tony Chan (Editor), and Robert Haimes (Editor), eds. Multiscale and Multiresolution Methods: Theory and Applications (Lecture Notes in Computational Science and Engineering). Springer, 2001.

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38

Quarteroni, Alfio, Silvia Bertoluzza, and Ricardo H. Nochetto. Multiscale and Adaptivity : Modeling, Numerics and Applications: C.I.M.E. Summer School, Cetraro, Italy 2009. Springer, 2012.

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39

C, Canuto, ed. Spectral methods: Evolution to complex geometries and applications to fluid dynamics. Berlin: Springer, 2007.

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40

Hussaini, M. Y., A. Quarteroni, T. A. Zang, and C. G. Canuto. Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation). Springer, 2007.

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