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1

Deville, M. O. Fourier analysis of finite element preconditioned collocation schemes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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2

Deville, M. O. Fourier analysis of finite element preconditioned collocation schemes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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3

Boyd, J. P. Chebyshev & Fourier spectral methods. Berlin: Springer-Verlag, 1989.

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4

Chebyshev and Fourier spectral methods. 2nd ed. Mineola, N.Y: Dover Publications, 2001.

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5

Boyd, John Philip. Chebyshev & Fourier Spectral Methods. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83876-7.

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6

Cai, Wei. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1991.

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7

Cai, Wei. Non-oscillatory spectral Fourier methods for shock wave calculations. Hampton, Va: ICASE, 1988.

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8

Cai, Wei. Non-oscillatory spectral Fourier methods for shock wave calculations. Hampton, Va: ICASE, 1988.

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9

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

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10

Tadmor, Eitan. Spectral methods for time dependent problems. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1990.

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11

Ruotoistenmäki, Tapio. Estimation of depth to potential field sources using the Fourier amplitude spectrum. Espoo: Geologian tutkimuskeskus, 1987.

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12

Zanyar, Movasaghi, and Rehman Shazza, eds. Vibrational spectroscopy for tissue analysis. Boca Raton: CRC Press, 2013.

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13

Jakobson, Dmitry, Pierre Albin, and Frédéric Rochon. Geometric and spectral analysis. Providence, Rhode Island: American Mathematical Society, 2014.

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14

Semiclassical analysis. Providence, R.I: American Mathematical Society, 2012.

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15

N, Robson P., and Kendall P. C, eds. Rib waveguide theory by the spectral index method. Taunton, Somerset, England: Research Studies Press, 1990.

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16

S, Wong Peter, and Institute for Computer Applications in Science and Engineering., eds. A note on the accuracy of spectral method applied to nonlinear conservation laws. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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17

Boyd, John P. Chebyshev & Fourier Spectral Methods. Springer, 1989.

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18

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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19

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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20

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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21

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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22

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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23

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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24

Applied Mathematics Data Compression Spectral Methods Fourier Analysis Wavelets And Applications. Atlantis Press (Zeger Karssen), 2013.

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25

Lazzarini, Victor. Spectral Music Design. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780197524015.001.0001.

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This volume offers a complete guide to a computational approach to spectral music-making. It provides, in a stepwise manner, a [ ] to the signal processing techniques and their application to computer music. The book begins with a series of fundamental definitions, delineating the basic concepts of spectral audio. This includes both a technical and a historical appreciation of the ideas related to the spectrum. The core of the text is formed by six chapters on the techniques of spectral musical signal processing. These are thoroughly illustrated with examples and code excerpts using the Python and Csound languages. This section of the book traces a path from the Fourier theorem to the consideration of non-deterministic signals, also in a step-by-step way discussing the various elements of spectral audio. The final part of the book is dedicated to the aesthetics of spectral music, and methods of design and composition, which apply the ideas and techniques explored earlier in the volume.
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26

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

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27

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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28

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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29

Adams, Charles S., and Ifan G. Hughes. Optics f2f. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786788.001.0001.

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This book is primarily intended to be used in optics teaching from undergraduate to graduate level. It is assumed that an elementary course on optics has previously been studied, but all the key concepts of wave optics and light propagation are introduced where needed, and illustrated graphically. A recurring theme is that simple building blocks such as plane and spherical waves can be summed to construct useful solutions. Fourier methods and the angular-spectrum approach are used extensively, especially to provide a unified approach to Fraunhofer and Fresnel diffraction. Particular attention is paid to analysing topics in contemporary optics—propagation, dispersion, laser beams and waveguides, apodization, tightly focused vector fields, unconventional polarization states, and light–matter interactions. Throughout the text the principles are applied through worked examples and the book is copiously illustrated with more than 240 figures. The 200 end-of-chapter exercises offer further opportunities for testing the reader’s understanding.
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30

America, Optical Society of, ed. Fourier transform spectroscopy: February 10-12, 1997, Hilton Hotel, Santa Fe, New Mexico. Washington, DC: The Society, 1997.

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