#### Filter Results:

- Full text PDF available (1)

#### Publication Year

1989

1997

- This year (0)
- Last 5 years (0)
- Last 10 years (0)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Kai Diethelm, Guido Walz
- Numerical Algorithms
- 1997

We present an extrapolation type algorithm for the numerical solution of fractional order differential equations. It is based on the new result that the sequence of approximate solutions of these equations, computed by means of a recently published algorithm by Diethelm [6], possesses an asymptotic expansion with respect to the stepsize. From this we… (More)

- Guido Walz
- Adv. Comput. Math.
- 1995

B-spline functions and curves are impor tant tools nowadays in many fields of mathematics and engineering, and in the meant ime there exist a lot of recursion formulas for the computa t ion of a B-spline's values (e.g. [2,5]), its derivative (e.g. [2,10]), its partial derivative w.r.t, the knots (e.g. [12,19]) and for knot insertion (e.g. [1]). A compend… (More)

- Guido Walz
- Computer Aided Geometric Design
- 1997

We introduce a family of trigonometric polynomials, denoted as Stancu polynomials, which contains the trigonometric Lagrange and Bernstein polynomials. This family depends only on one real parameter, denoted as design parameter. Our approach works for curves as well as for surfaces over triangles. The resulting Stancu curves respectively surfaces therefore… (More)

- Guido Walz
- Numerical Algorithms
- 1994

It is a well-known fact that the classical (i.e. polynomial) divided difference of orderm, when applied to a functiong, converges to themth-derivative of this function, if the evaluation points all collapse to a single one. In the first part of this paper we shall sharpen this result in the sense that we prove the existence of an asymptotic expansion with… (More)

- Guido Walz
- Computing
- 1993

One of the fundamental results in spline interpolation theory is the famous Schoenberg-Whitney Theorem, which completely characterizes those distributions of interpolation points which admit unique interpolation by splines. However, until now there exists no iterative algorithm for the explicit computation of the interpolating spline function, and the only… (More)

- Guido Walz
- Elektronische Informationsverarbeitung und…
- 1989

- Guido Walz
- Computing
- 1989

Complex planar splines were introduced by Opfer and Puri [4] and further investigated by several authors, cf. [3, 5, 6, 8]. These papers were mainly concerned with the properties of piecewise linear or quadratic polynomials. In the present paper polynomial planar splines of arbitrary degree are investigated. Our results are mainly concerned with their… (More)

- ‹
- 1
- ›