Additive Operator-Difference Schemes : Splitting Schemes
Boundary value problems Differential operators Initial value problems Mathematical models sähkökirjat Differenzenverfahren Operator-Splitting-Verfahren Partielle Differentialgleichung Mathematik
De Gruyter
2013
EISBN 9783110321463
Applied mathematical modeling isconcerned with solving unsteady problems. This bookshows how toconstruct additive difference schemes to solve approximately unsteady multi-dimensional problems for PDEs. Two classes of schemes are highlighted: methods of splitting with respect to spatial variables (alternating direction methods) and schemes of splitting into physical processes. Also regionally additive schemes (domain decomposition methods)and unconditionally stable additive schemes of multi-component splitting are considered for evolutionary equations of first and second order as well as for systems of equations. The book iswritten for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner.
