434 citations
- Hunan UniversityCN8 papers
- State University of New YorkUS7 papers
- National Supercomputing Changsha CenterCN6 papers
- COMSATS University IslamabadPK5 papers
- University of Illinois ChicagoUS5 papers
- Courant Institute of Mathematical SciencesUS4 papers
- Universidade de São PauloBR4 papers
- Central South UniversityCN3 papers
- Central South University of Forestry and TechnologyCN3 papers
- Columbia UniversityUS3 papers
- Consejo Nacional de Investigaciones Científicas y TécnicasAR3 papers
- Instituto de Matemática de Bahía Blanca3 papers
4 papers · 1 filter
Symmetry-preserving numerical schemes
Alexander Bihlo, Francis Valiquette
In these lectures we review two procedures for constructing finite difference numerical schemes that preserve symmetries of differential equations. The first approach is based on L…
Competitive binding of transcription factors drives Mendelian dominance in regulatory genetic pathways
Adam H. Porter, Norman A. Johnson, Alexander Y. Tulchinsky
We report a new mechanism for allelic dominance in regulatory genetic interactions that we call binding dominance. We investigated a biophysical model of gene regulation, where the…
Differential operators on the superline, Berezinians, and Darboux transformations
Simon Li, Ekaterina Shemyakova, Theodore Voronov
We consider differential operators on a supermanifold of dimension . We define non-degenerate operators as those with an invertible top coefficient in the expansion in the "su…
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
David Hobby, Ekaterina Shemyakova
We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and…