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  Gautschi, Walter Add to Alert Profile  
 
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  1 - 5 of 6 reviews    
  Algorithm 957: evaluation of the repeated integral of the coerror function by half-range Gauss-Hermite quadrature
Gautschi W. ACM Transactions on Mathematical Software 42(1): 1-10, 2016.  Type: Article

The accurate evaluation of the repeated integrals of the coerror function defined as
with
is require...
...
Jun 24 2016  
  A note on the recursive calculation of incomplete gamma functions
Gautschi W. ACM Transactions on Mathematical Software 25(1): 101-107, 1999.  Type: Article

This short, well-written paper presents both an analysis and numerical examples of the use of the forward recurrence to compute the incomplete gamma function. The forward recurrence for P ( a + n , x ) with ...
...
Mar 1 2000  
  Algorithm 793: GQRAT--Gauss quadrature for rational functions
Gautschi W. ACM Transactions on Mathematical Software 25(2): 213-239, 1999.  Type: Article

This algorithm concerns Gaussian-type quadrature formulas that are exact for rational functions that have poles of known orders at known locations. Poles near the integration interval are treated somewhat differently to increase conver...
...
Dec 1 1999  
  Numerical analysis
Gautschi W., Birkhäuser Boston Inc., Cambridge, MA, 1997.  Type: Book (9780817638955)

The intended use for this book is in “a one- or two-semester graduate course in numerical analysis for students who have a good background in calculus and advanced calculus and some knowledge of linear algebra, complex analys...
...
Mar 1 1998  
  Numerical analysis
Gautschi W., Birkhäuser Boston Inc., Cambridge, MA, 1997.  Type: Book (9780817638955)

Gautschi provides an excellent text for a first graduate course in numerical analysis, excluding both linear algebra and partial differential equations (PDEs). The argument for this is that they are disciplines in their own right and a...
...
Oct 1 1997  

 
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