TY  - JOUR
ID  - Bujanda2006
LB  - Bujanda2006
AU  - Bujanda, Blanca
AU  - Jorge, Juan Carlos
TI  - New efficient time integrators for non-linear parabolic problems
ST  - New efficient time integrators for non-linear parabolic problems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 3
SP  - 407
EP  - 419
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.3.407
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.3.407
AB  - In this work a new numerical method is constructed for time-integrating multidimensional parabolic semilinear problems in a very efficient way. The method reaches the fourth order in time and it can be combined with standard spatial discretizations of any order to obtain unconditinally convergent numerical algorithms. The main theoretical results which guarantee this property are explained here, as well as the method characteristics which guarantee a very strong reduction of computational cost in comparison with classical discretization methods.
KW  - fractional step methods
KW  - non-linear parabolic problems
KW  - convergence
SN  - 1232-9274
ER  -