Chebyshev U (second kind) Polynomials

Download

This page provides an overview of the rules of Chebyshev U (second kind) type. All rules listed below can be downloaded packed into a single file here:

csv files with nodes and weights
raw text files as output by the 'kes' software

The csv files contain row by row in this order:

real part of the values of the nodes
imaginary part of the values of the nodes (should be small)
real part of the values of the weights
imaginary part of the values of the weights (should be small)
real part of the maximal error of the nodes (should be tiny)
imaginary part of the maximal error of the nodes (should be tiny)
real part of the maximal error of the weights (should be tiny)
imaginary part of the maximal error of the weights (should be tiny)

Detailed Listing

Note: Rules printed in red have negative weights.

Base Polynomial Order 1

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 2

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 3

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 4

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 5

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 6

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 7

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 8

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 9

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 10

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 11

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 12

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 13

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 14

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 15

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 16

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 17

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 18

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 19

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 20

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 21

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 22

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 23

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 24

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 25

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 26

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 27

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 28

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 29

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 30

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 31

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 32

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 33

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 34

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 35

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 36

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 37

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 38

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 39

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 40

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 41

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 42

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 43

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 44

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 45

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 46

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 47

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 48

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 49

Maximal search order: 100
Maximal recursion depth: 6

Base Polynomial Order 50

Maximal search order: 100
Maximal recursion depth: 6