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In PYTHON write two functions that implement the Fourier spectral first and second derivatives as discussed in class: [DA] [DO jm jm j= m (modN) [(-1) mcot (m) otherwise. 2 32-1 -(-1); mesc² (im)h) otherwise. 2 Using your code, verify that when N = 4, j = m (modN) The function headers for each of these should be of the following form: def CreateDmat (N): ... return Dmat; def CreateD2mat (N): ... return D2mat; In each case, the matrix to be returned is of size N X N. 2 (DN) (DN)² + D²).

In PYTHON write two functions that implement the Fourier spectral first and second derivatives as discussed in class: [DA] [DO jm jm j= m (modN) [(-1) mcot (m) otherwise. 2 32-1 -(-1); mesc² (im)h) otherwise. 2 Using your code, verify that when N = 4, j = m (modN) The function headers for each of these should be of the following form: def CreateDmat (N): ... return Dmat; def CreateD2mat (N): ... return D2mat; In each case, the matrix to be returned is of size N X N. 2 (DN) (DN)² + D²).

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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In PYTHON write two functions that implement the Fourier spectral first and second derivatives as discussed in class: j = m (modN) [D]{(-1) esot (4) otherwise. mcot m)h) DN = jm D2 jm j = m (modN) 3h² 2 -(-1)³ mesc² (im)h) otherwise. The function headers for each of these should be of the following form: • def CreateDmat (N): ... return Dmat; def CreateD2mat (N): ... return D2mat; In each case, the matrix to be returned is of size N X N. 2 (DN)² + D²). Using your code, verify that when N = 4, (DN
Transcribed Image Text:In PYTHON write two functions that implement the Fourier spectral first and second derivatives as discussed in class: j = m (modN) [D]{(-1) esot (4) otherwise. mcot m)h) DN = jm D2 jm j = m (modN) 3h² 2 -(-1)³ mesc² (im)h) otherwise. The function headers for each of these should be of the following form: • def CreateDmat (N): ... return Dmat; def CreateD2mat (N): ... return D2mat; In each case, the matrix to be returned is of size N X N. 2 (DN)² + D²). Using your code, verify that when N = 4, (DN
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