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1

Ervedoza, Sylvain. Numerical Approximation of Exact Controls for Waves. Springer New York, 2013.

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2

Armin, Iske, Levesley Jeremy 1964-, and SpringerLink (Online service), eds. Approximation Algorithms for Complex Systems: Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009. Springer-Verlag Berlin Heidelberg, 2011.

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3

Gunzburger, Max D. On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations. National Aeronautics and Space Administration, 1986.

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4

1953-, Valli A. (Alberto), ed. Eddy current approximation of Maxwell Equations: Theory, algorithms and applications. Springer, 2010.

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5

Diskin, Boris. Solving upwind-biased discretizations II: Multigrid solver using semicoarsening. National Aeronautics and Space Administration, Langley Research Center, 1999.

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6

Center, Langley Research, ed. Solving upwind-biased discretizations II: Multigrid solver using semicoarsening. National Aeronautics and Space Administration, Langley Research Center, 1999.

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7

Center, Langley Research, ed. Solving upwind-biased discretizations II: Multigrid solver using semicoarsening. National Aeronautics and Space Administration, Langley Research Center, 1999.

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8

Center, Langley Research, ed. Solving upwind-biased discretizations II: Multigrid solver using semicoarsening. National Aeronautics and Space Administration, Langley Research Center, 1999.

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9

Max-Planck-Institut. Combinatorics and physics: Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany. Edited by Ebrahimi-Fard Kurusch 1973-, Marcolli Matilde, Suijlekom, Walter D. van., 1978-, Max-Planck-Institut für Mathematik, and Conference on Combinatorics and Physics (2007 : Max Planck Institut für Mathematik). American Mathematical Society, 2011.

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10

International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (3rd 2000 Saarbrücken, Germany). Approximation algorithms for combinatorial optimization: Third international workshop, APPROX 2000, Saarbrucken, Germany, September 5-8, 2000 : proceedings. Springer, 2000.

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11

Erlebach, Thomas. Approximation and Online Algorithms: 10th International Workshop, WAOA 2012, Ljubljana, Slovenia, September 13-14, 2012, Revised Selected Papers. Springer Berlin Heidelberg, 2013.

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12

Nev.) International Conference on Scientific Computing and Applications (8th 2012 Las Vegas. Recent advances in scientific computing and applications: Eigth International Conference on Scientific Computing and Applications, April 1-4, 2012, University of Nevada, Las Vegas, Nevada. Edited by Li, Jichun, editor of compilation, Yang, Hongtao, 1962- editor of compilation, and Machorro, Eric A. (Eric Alexander), 1969- editor of compilation. American Mathematical Society, 2013.

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13

Zuazua, Enrique, and Sylvain Ervedoza. Numerical Approximation of Exact Controls for Waves. Springer, 2013.

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14

Numerical Approximation Of Exact Controls For Waves. Springer-Verlag New York Inc., 2012.

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15

On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations. National Aeronautics and Space Administration, 1986.

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16

Höllig, Klaus, and Jörg Hörner. Approximation and Modeling with B-Splines. SIAM-Society for Industrial and Applied Mathematics, 2013.

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17

Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005. Springer London, Limited, 2006.

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18

(Editor), A. Iske, and J. Levesley (Editor), eds. Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005. Springer, 2006.

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19

Numerical Algorithms for Number Theory: Using Pari/GP. American Mathematical Society, 2021.

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20

Solving upwind-biased discretizations II: Multigrid solver using semicoarsening. National Aeronautics and Space Administration, Langley Research Center, 1999.

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21

Fitting Smooth Functions to Data. American Mathematical Society, 2020.

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22

Gautschi, Walter. Orthogonal Polynomials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198506720.001.0001.

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This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics which are particularly relevant to computation are emphasized. The second chapter develops computational methods for generating the coefficients in the basic three-term recurrence relation. The methods are of two kinds: moment-based methods and discretization meth
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23

Chen, Chuchu, and Lihai Ji. Numerical Approximations of Stochastic Maxwell Equations: Via Structure-Preserving Algorithms. Springer, 2023.

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24

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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25

Gupta, Anupam, Klaus Jansen, José D. P. Rolim, and ROCCO SERVEDIO. Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques. Springer, 2012.

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26

Owhadi, Houman, and Clint Scovel. Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design. Cambridge University Press, 2019.

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27

Owhadi, Houman, and Clint Scovel. Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design. Cambridge University Press, 2019.

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28

Owhadi, Houman, and Clint Scovel. Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design. Cambridge University Press, 2019.

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29

Kaklamanis, Christos, and Martin Skutella. Approximation and Online Algorithms: 5th International Workshop, WAOA 2007, Eilat, Israel, October 11-12, 2007, Revised Papers. Springer London, Limited, 2008.

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30

Kaklamanis, Christos, and Kirk Pruhs. Approximation and Online Algorithms: 11th International Workshop, WAOA 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers. Springer London, Limited, 2014.

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31

Approximation and Online Algorithms: 11th International Workshop, WAOA 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers. Springer International Publishing AG, 2014.

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32

Boudreau, Joseph F., and Eric S. Swanson. Interpolation and extrapolation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0004.

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This chapter deals with two related problems occurring frequently in the physical sciences: first, the problem of estimating the value of a function from a limited number of data points; and second, the problem of calculating its value from a series approximation. Numerical methods for interpolating and extrapolating data are presented. The famous Lagrange interpolating polynomial is introduced and applied to one-dimensional and multidimensional problems. Cubic spline interpolation is introduced and an implementation in terms of Eigen classes is given. Several techniques for improving the conv
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33

Persiano, Giuseppe, and Thomas Erlebach. Approximation and Online Algorithms: 10th International Workshop, WAOA 2012, Ljubljana, Slovenia, September 13-14, 2012, Revised Selected Papers. Springer, 2013.

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34

Erlebach, Thomas, and Leah Epstein. Approximation and Online Algorithms: 16th International Workshop, WAOA 2018, Helsinki, Finland, August 23-24, 2018, Revised Selected Papers. Springer, 2018.

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35

Ridge Functions and Applications in Neural Networks. American Mathematical Society, 2021.

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