An introduction, at a basic level, to the conformal differential geometry of surfaces and
submanifolds is given. That is, the book discusses those aspects of the geometry of surfaces …

Motivated by the classical studies on transformations of conjugate nets, we develop the
general geometric theory of transformations of their discrete analogs: the multidimensional …

Circular meshes are quadrilateral meshes all of whose faces possess a circumcircle,
whereas conical meshes are planar quadrilateral meshes where the faces which meet in a …

Geometric problems originating in architecture can lead to interesting research and results
in geometry processing, computer aided geometric design, and discrete differential …

A Lagrangian multiform structure is established for a generalisation of the Darboux system
describing orthogonal curvilinear coordinate systems. It has been shown in the past that this …

The Cholesky factorization of the moment matrix is applied to discrete orthogonal
polynomials on the homogeneous lattice. In particular, semiclassical discrete orthogonal …

In this paper, the authors investigate the case of discrete multiple orthogonal polynomials
with two weights on the step line, which satisfy Pearson equations. The discrete multiple …

A new scheme, deduced from He's homotopy perturbation method (HPM), is presented for
solving nonlinear differential-difference equations (DDEs). A simple but typical example is …

Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are
described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus …

The Cholesky factorization of the moment matrix is considered for discrete orthogonal
polynomials of hypergeometric type. We derive the Laguerre–Freud equations when the first …