TY  - JOUR
ID  - Ciarski2008
LB  - Ciarski2008
AU  - Ciarski, Roman
TI  - Numerical methods for hyperbolic differential functional problems
ST  - Numerical methods for hyperbolic differential functional problems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 1
SP  - 29
EP  - 46
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.1.29
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.1.29
AB  - The paper deals with the initial boundary value problem for quasilinear first order partial differential functional systems. A general class of difference methods for the problem is constructed. Theorems on the error estimate of approximate solutions for difference functional systems are presented. The convergence results are proved by means of consistency and stability arguments. A numerical example is given.
KW  - functional differential equations
KW  - stability and convergence
SN  - 1232-9274
ER  -