Reliable computation of elliptic functions

Journal of Universal Computer Science

Volumn 4, Issue 1, 1998, Pages 25-33

  Luther, Wolfram ^a   Otten, Werner ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

A priori rounding error estimation; Agm method; Elliptic functions; Landen transform

Indexed keywords

EID: 0041395617     PISSN: 0958695X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. J. M. Borwein, P. B. Borwein: The arithmetic-geometric mean and fast computation of elementary functions. SIAM Reviews 26 (1984), pp. 351-366
2. W. Luther, W. Otten: Computation of Standard Interval Functions in Multiple-Precision Interval Arithmetic. Interval Computations 4 (1994), pp. 78-99
3. W. Luther, W. Otten: The complex arithmetic-geometric mean and multiple-precision matrix functions. Scientific Computing and Validated Numerics. G. Alefeld, A. Frommer, B. Lang eds. Akad. Verlag Berlin 1996, pp. 52-58
4. W. Luther, W. Otten: Approximation Error and Error Accumulation for the Landen Transform. Reliable Computing, No. 3, 1997, pp. 249-258
5. W. Luther, W. Otten: Accurate Computation of Elliptic Functions. Submitted to ZAMM
6. M. Sugihara, S. Fujino: Numerical solutions of Burgers' Equation with a large Reynolds number. Reliable Computing, No. 2, 1996, pp. 173-179
7. M. Sugihara, S. Fujino, F. Hoshino: A numerical method for the exact solution of Burgers' equation using overload function of C++. SCAN-97, Lyon, France, September 10-12, 1997
8. K. Werner: Calculation of the Inverse Weierstraß-Function in an Arbitrary Machine Arithmetic. Scientific Computing and Validated Numerics. G. Alefeld, A. Frommer, B. Lang eds. Akad. Verlag Berlin 1996, pp. 72-78
9. K. Werner: Verifizierte Berechnung der inversen Weierstraß-Funktion und der elliptischen Funktionen von Jacobi in beliebigen Maschinenarithmetiken. PhD-Thesis, Duisburg 1996 Addresses: