#### Filter Results:

- Full text PDF available (12)

#### Publication Year

1993

2017

- This year (1)
- Last 5 years (7)
- Last 10 years (9)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Marius van der Put
- J. Symb. Comput.
- 1999

The methods of [vdP-Sa, vdP1, vdP2] are applied to the fourth Painlevé equation. One obtains a Riemann– Hilbert correspondence between moduli spaces of rank two connections on P1 and moduli spaces for the monodromy data. The moduli spaces for these connections are identified with Okamoto–Painlevé varieties and the Painlevé property follows. For an explicit… (More)

- Peter A. Hendriks, Marius van der Put
- J. Symb. Comput.
- 1995

The classical solution of the Riemann]Hilbert problem attaches to a given representation of the fundamental group a regular singular linear differential equation. We present a method to compute this differential equation in the case of a representation with finite image. The approach uses Galois coverings of P1 _ 4 0, 1, ` , differential Galois theory, and… (More)

- Marius van der Put, Peter A. Hendriks
- ISSAC
- 1993

Permission to copy without fee all or pert of this material is granted provided that the copies are not made or distributed for direct commercial advantage, the ACM copyright notica and the title of the publication and its dats appear, and notice is given that copying is by permission of the Aeeociation for Computing Machinery. To copy otherwise, or to… (More)

- L. X. Châu Ngô, K. A. Nguyen, Marius van der Put, Jaap Top
- J. Symb. Comput.
- 2015

a r t i c l e i n f o a b s t r a c t The notion of strict equivalence for order one differential equations of the form f (y , y, z) = 0 with coefficients in a finite extension K of C(z) is introduced. The equation gives rise to a curve X over K and a derivation D on its function field K (X). Procedures are described for testing strict equivalence, strict… (More)

- Marius van der Put
- J. Symb. Comput.
- 2005

- Marius van der Put, Jaap
- 2014

The Riemann–Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto– Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations.

- Marius van der Put, Jaap Top
- J. Symb. Comput.
- 2015