On the necessity of negative coefficients for operator splitting schemes of order higher than two
By Sergio Blanes, Fernando Casas. 2005
107 citations recorded by the source corpus.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/481479811c6fc24418859bc11ee4a9f2c6a35883
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Philippe Chartier
- Stéphane Descombes
- François Castella
- Gilles Vilmart
- Alexander Ostermann
- Ronnie Kosloff
- Marlis Hochbruck
- Uri M. Ascher
In Numerical Analysis
- Alexander Ostermann
- Eskil Hansen
- Philippe Chartier
- Stéphane Descombes
- François Castella
- Gilles Vilmart
- Ronnie Kosloff
- Marlis Hochbruck
Citations in the corpus
- High order splitting methods for analytic semigroups exist (2009, background): “This statement is motivated by the fact that splitting schemes with real coefficients γ j andδ j necessarily have at least one negative coefficient whenever p≥ 3; see [2].”
- Equivalence of Quantum Heat Machines, and Quantum-Thermodynamic Signatures (2015, background): “However, it turns out that these decompositions inherently involve negative coefficients [98].”
- Splitting methods with complex times for parabolic equations (2009, background): “An elegant geometric proof can also be found in [2].”