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Hierarchical Interpolative Factorization for Elliptic Operators:Integral Equations
Hierarchical Interpolative Factorization Elliptic Operators Integral Equations
2015/7/14
This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions.This factorization takes the form of an...
Hierarchical Interpolative Factorization for Elliptic Operators:Differential Equations
Hierarchical Interpolative Factorization Elliptic Operators Differential Equations
2015/7/14
This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization takes the form of an a...
Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Linear differential equations nonlinear differential equations factorization
2011/9/20
Abstract: An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided.
In the particular case of second order linear and nonlinear PDEs and ...
On complements and the factorization problem for Hopf algebras
Normal Hopf subalgebras Semi-direct product
2011/1/20
Two new results concerning complements in a semisim-ple Hopf algebra are proved. They extend some well known results from group theory. The uniqueness of Krull Schmidt Remak type
decomposition is pro...