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Generalized extrapolation methods based on compositions of a basic 2nd-order scheme
Sergio Blanes, Fernando Casas, Luke Shaw
We propose new linear combinations of compositions of a basic second-order scheme with appropriately chosen coefficients to construct higher order numerical integrators for differe…
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
Sergio Blanes, Fernando Casas, Cesáreo González +1
The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial diffe…
Symmetric-conjugate splitting methods for linear unitary problems
Joackim Bernier, Sergio Blanes, Fernando Casas +1
We analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined…