-closed extensions of topological spaces
-anisotropic mesh adaptation technique based on interpolation error estimates
We present a completely new -anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic...
Hamiltonian systems with periodic nonlinearities
Hardy space methods for nonlinear partial differential equations
Harmonic analysis and topology
Harmonic majorization and thinness
Harmonic spinors on Riemann surfaces
Hartogs phenomena for Hermitian vector bundles
Hasse diagrams for parabolic geometries
The invariant differential operators on a manifold with a given parabolic structure come in two classes, standard and non-standard, and can be further subdivided into regular and singular ones. The standard regular operators come in repeated patterns, the Bernstein-Gelfand-Gelfand sequences, described by Hasse diagrams. In this paper, the authors present an alternative characterization of Hasse diagrams, which is quite efficient in the case of low gradings. Several examples are given.
Hasse graphs and parabolic subalgebras of exceptional Lie algebra
Henri Poincaré's “Science et méthode”
Hermite interpolation on simplexes in the finite element method
Heteroclinic cycles in ecological differential equations
High resolution schemes for open channel flow
One of the commonly used models for river flow modelling is based on the Saint-Venant equations - the system of hyperbolic equations with spatially varying flux function and a source term. We introduce finite volume methods that solve this type of balance laws efficiently and satisfy some important properties at the same time. The properties like consistency, stability and convergence are necessary for the mathematically correct solution. However, the schemes should be also positive semidefinite...
Higher monogenicity and residue theorem for Rarita-Schwinger operator
Higher order almost tangent geometry and non-autonomous Lagrangian dynamics
Higher order geodesic symmetries
Higher Reidemeister torsion and parametrized Morse theory
This paper constitutes a summary of the author’s Ph.D. thesis [The cell complex construction and higher -torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.The first section is devoted to outlining a means of passing in a continuous way from the space of pairs , where is a compact smooth manifold and is a Morse function on , into a moduli space for finite cell complexes.In section two the results of section one are...