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AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6...

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Numerical Methods for Computational Science and Engineering Autumn Semester 2018, Week 6 Prof. Rima Alaifari, SAM, ETH Zurich

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Page 1: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Numerical Methods for

Computational Science and Engineering

Autumn Semester 2018, Week 6

Prof. Rima Alaifari, SAM, ETH Zurich

Page 2: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 3: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 4: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 5: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 6: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 7: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 8: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 9: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 10: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 11: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 12: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 13: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 14: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 15: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 16: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 17: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 18: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 19: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

Page 20: AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich · AutumnSemester2018,Week6 Prof.RimaAlaifari,SAM,ETHZurich. 2 n,n . Theorem 4.2.1 (Convolution theorem). The discrete periodic

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