Publication detail

Reduced Piecewise Bivariate Hermite Interpolations

MELKES, F.

English title

Reduced Piecewise Bivariate Hermite Interpolations

Type

journal article - other

Language

en

Original abstract

The paper presents two methods for a piecewise Hermite interpolation of a sufficiently smooth function. The interpolation function is on each elementary rectangle, into which the given region is divided, determined by all the derivatives of the function under consideration up to a certain predetermined order. The results obtained are utilized in the solution of a general quasi-linear equation and the solution of a nonlinear integral equation.

English abstract

The paper presents two methods for a piecewise Hermite interpolation of a sufficiently smooth function. The interpolation function is on each elementary rectangle, into which the given region is divided, determined by all the derivatives of the function under consideration up to a certain predetermined order. The results obtained are utilized in the solution of a general quasi-linear equation and the solution of a nonlinear integral equation.

Keywords in English

piecewise Hermite interpolation

Released

01.01.1972

Journal

Numerische Mathematik

Volume

1972

Number

2

Pages count

15

BIBTEX


@article{BUT40236,
  author="František {Melkes},
  title="Reduced Piecewise Bivariate Hermite Interpolations",
  journal="Numerische Mathematik",
  year="1972",
  volume="1972",
  number="2",
  month="January"
}