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Genz, Alan
Washington State University
Pullman, Washington
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- 10 of 22 reviews

   
  Algorithm 798: high-dimensional interpolation using the modified Shepard method
Berry M., Minser K. ACM Transactions on Mathematical Software 25(3): 353-366, 1999.  Type: Article

This paper describes an algorithm, implemented in C++, for the interpolation of scattered data in five (or fewer) dimensions. The algorithm is a straightforward generalization of the Modified Quadratic Shepard Method, which was impleme...

Feb 1 2000  
  Algorithm 790: CSHEP2D: cubic Shepard method for bivariate interpolation of scattered data
Renka R. ACM Transactions on Mathematical Software 25(1): 70-73, 1999.  Type: Article

Renka describes a method for testing algorithms for the interpolation of scattered plane data and reports on the results of the application of the tests to a collection of ten ACM algorithms. The paper begins with a brief description o...

Aug 1 1999  
  Algorithm 785: a software package for computing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions
Hu C. ACM Transactions on Mathematical Software 24(3): 317-333, 1998.  Type: Article, Reviews: (2 of 2)

A common subproblem in applied analysis is the determination of aconformal mapping from one region with simple geometry to another regionwith irregular geometry. If such a transformation is available, then theoriginal problem can often...

May 1 1999  
  Division Algorithms and Implementations
Oberman S., Flynn M. IEEE Transactions on Computers 46(8): 833-854, 1997.  Type: Article

This useful and clearly presented paper reviews the current state of algorithms for the floating-point division of two real numbers. The paper focuses on digit recurrence and functional iteration algorithms, with refinements such as hi...

Oct 1 1998  
  Computing partial expectations from tables
Grüner J., Zoller K. Computing 59(3): 277-284, 1997.  Type: Article

Interpolation can be used with tables of the general Gamma probability density function to determine approximations to the distribution function, partial expectations (expected values of linear functions over a restricted integration d...

Jul 1 1998  
  Local error estimates and regularity tests for the implementation of double adaptive quadrature
Favati P., Fiorentino G., Lotti G., Romani F. ACM Transactions on Mathematical Software 23(1): 16-31, 1997.  Type: Article

An important problem associated with numerical integration software is that of error estimation. It is difficult to compute error estimates that are both reliable and accurate, and this difficulty increases with the use of high-order l...

Mar 1 1998  
  Algorithm 746: PCOMP--a Fortran code for automatic differentiation
Dobmann M., Liepelt M., Schittkowski K. ACM Transactions on Mathematical Software 21(3): 233-266, 1995.  Type: Article

The Fortran 77 code PCOMP for automatic differentiation is described. The input for PCOMP is a sequence of statements that describe the functions to be differentiated. The statements are written in a language that is a subset of Fortra...

Aug 1 1996  
  Conversion to Fortran 90
Buckley A. ACM Transactions on Mathematical Software 20(3): 308-353, 1994.  Type: Article

Fortran 90 compilers are now available from a variety of sources for most of the commonly used scientific and engineering computing environments. A big question now for developers of scientific software is whether to use Fortran 90, st...

Nov 1 1995  
  Algorithm 734; a Fortran 90 code for unconstrained nonlinear minimization
Buckley A. ACM Transactions on Mathematical Software 20(3): 354-372, 1994.  Type: Article

Fortran 90 compilers are now available from a variety of sources for most of the commonly used scientific and engineering computing environments. A big question now for developers of scientific software is whether to use Fortran 90, st...

Nov 1 1995  
  Implementation of a lattice method for numerical multiple integration
Joe S., Sloan I. ACM Transactions on Mathematical Software 19(4): 523-545, 1993.  Type: Article

Major advances have recently been made in the theory of lattice rules for numerical multiple integration. These rules have become increasingly attractive for practical work because, like Monte Carlo rules, they consist of simple, equal...

Aug 1 1994  
 
 
 
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