TY  - JOUR
ID  - Czernous2010
LB  - Czernous2010
AU  - Czernous, Wojciech
TI  - Pseudospectral method for semilinear partial functional differential equations
ST  - Pseudospectral method for semilinear partial functional differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 2
SP  - 133
EP  - 145
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.2.133
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.2.133
AB  - We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step \(\tau \) and the number \(N\) of collocation points. Stability statements and error estimates are written using continuous norms in weighted Jacobi spaces.
KW  - pseudospectral collocation
KW  - CFS condition
KW  - convergence
KW  - error estimates
SN  - 1232-9274
ER  -