Abstract
| Language | English |
|---|---|
| Pages | 30-48 |
| Number of pages | 18 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 42 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2004 |
Fingerprint
Keywords
- pseudospectral
- differentiation matrices
- Chebyshev
Cite this
}
On the norms of inverses of pseudospectral differentiation matrices. / Sloan, D.M.
In: SIAM Journal on Numerical Analysis, Vol. 42, No. 1, 2004, p. 30-48.Research output: Contribution to journal › Article
TY - JOUR
T1 - On the norms of inverses of pseudospectral differentiation matrices
AU - Sloan, D.M.
PY - 2004
Y1 - 2004
N2 - In this paper we give integral expressions for the elements of the inverses of second-order pseudospectral differentiation matrices. Simple upper bounds are given for the maximum norms of these inverse matrices when Chebyshev collocation points are used. Comment is made on the failure to obtain upper bounds that are uniform in the number of collocation points when the points are evenly spaced. We also give integral expressions for inverses of first-order Chebyshev pseudospectral differentiation matrices.
AB - In this paper we give integral expressions for the elements of the inverses of second-order pseudospectral differentiation matrices. Simple upper bounds are given for the maximum norms of these inverse matrices when Chebyshev collocation points are used. Comment is made on the failure to obtain upper bounds that are uniform in the number of collocation points when the points are evenly spaced. We also give integral expressions for inverses of first-order Chebyshev pseudospectral differentiation matrices.
KW - pseudospectral
KW - differentiation matrices
KW - Chebyshev
UR - http://dx.doi.org/10.1137/S0036142902414542
U2 - 10.1137/S0036142902414542
DO - 10.1137/S0036142902414542
M3 - Article
VL - 42
SP - 30
EP - 48
JO - SIAM Journal on Numerical Analysis
T2 - SIAM Journal on Numerical Analysis
JF - SIAM Journal on Numerical Analysis
SN - 0036-1429
IS - 1
ER -