On the parallel Risch algorithm (II)

JH Davenport, BM Trager - ACM Transactions on Mathematical Software …, 1985 - dl.acm.org
… This “algorithm” is only justified if there is a bound on the … More precisely, the algorithm works
in RischNorman fields, … the numerator in the various variables (Risch-Norman condition (ii))…

The parallel Risch algorithm (I)

JH Davenport - European Computer Algebra Conference, 1982 - Springer
… In this paper we review the so-called "parallel Risch" algorithm (see, for example,
Norman & Moore [1977], Norman & Davenport [1979] or ffitch [1981]) for the integration of …

On the parallel Risch algorithm (III) use of tangents

JH Davenport - ACM SIGSAM Bulletin, 1982 - dl.acm.org
parallel Risch algorithm (see, eg, the papers by Norman & Moore [1977], Norman & Davenport
[1979], ffitch [1981] or Davenport [1982] for a description of the basic algorithmalgorithm is…

The Risch algorithms of MACSYMA and SENAC

WC Schou, KA Broughan - ACM SIGSAM Bulletin, 1989 - dl.acm.org
… The example demonstrates an open problem of the parallel Risch algorithm [3] in … A
degree bound for the required polynomial cannot be determined by the parallel tLisch algorithm

[BOOK][B] Generalization of Risch's algorithm to special functions

CG Raab - 2013 - Springer
… Norman published a variant of Risch’s algorithm avoiding its recursive structure, which
therefore is sometimes also called the parallel Risch algorithm. The Risch-Norman algorithm can …

Highly scalable trip grouping for large-scale collective transportation systems

G Gidofalvi, TB Pedersen, T Risch… - Proceedings of the 11th …, 2008 - dl.acm.org
… policies, parallel implementations of the grouping algorithm in a parallel computing
environment are described. Extensive experimental results show that the parallel implementation …

Parallel integration

M Bronstein - Programming and Computer Software, 2006 - search.proquest.com
… of the differential field containing the integrand “in parallel,” ie, all at once rather than …
Risch algorithm make it an attractive alternative. It is applicable to integrands contained in …

Customizable parallel execution of scientific stream queries

M Ivanova, T Risch - 2005 - diva-portal.org
… strategies for scalable parallel execution of expensive stream queries: window split and
window distribute. Window split provides operators for customized parallel execution of query …

[HTML][HTML] … arrays optimized for individuals of East Asian, African American, and Latino race/ethnicity using imputation and a novel hybrid SNP selection algorithm

…, RA Whitmer, A Finn, C Schaefer, PY Kwok, N Risch - Genomics, 2011 - Elsevier
… Briefly, it is a two-color ligation-based assay utilizing 30-mer oligonucleotide probes
synthesized in situ on a microarray substrate with automated parallel processing of 96 samples per …

Structure theorems for parallel integration

M Bronstein - Journal of Symbolic Computation, 2007 - Elsevier
… by the Risch algorithm make it an attractive alternative, so it is present in several computer
algebra systems, either as a replacement or preprocessor for the recursive algorithm. It is …