Comparative study of acceleration techniques for integrals and series in electromagnetic problems

Radio Science

Volumn 30, Issue 6, 1995, Pages 1713-1722

  Kinayman, Noyan ^a   Aksun, M I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS;

BESSEL FUNCTIONS; ELECTROMAGNETIC PROBLEMS; SERIES ACCELERATION METHOD; SINUSOIDAL FUNCTIONS;

ELECTROMAGNETIC FIELD THEORY;

EID: 0029410292     PISSN: 00486604     EISSN: 1944799X     Source Type: Journal    
DOI: 10.1029/95RS02060     Document Type: Article

References (23)

1. A robust approach for the derivation of closed‐form green's functions
2. Some new convergence acceleration methods
3. A closed‐form spatial green's function for the thick microstrip substrate
4. Efficient computation of the complex error function
5. Generalized pencil‐of‐function method for extracting poles of an EM system from its transient response
6. An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures
7. Efficient calculation of the free‐space periodic green's function
8. Integral transforms useful for the accelerated summation of periodic free‐space Green's functions
9. A dynamical radiation model for microstrip structures
10. Non‐linear transformations of divergent and slowly convergent sequences
11. Application of transforms to accelerate the summation of periodic free‐space Green's functions
12. On the use of Shanks' transform to accelerate the summation pf slowly converging series
13. on the use of p algorithm in series acceleration
14. A Convergence acceleration procedure for computing slowly convergent series
15. On the use of Chebyschev‐Toeplitz algorithm in accelerating the numerical convergence of infinite series
16. Accelerating the convergence of series representing the free‐space periodic Green's function
17. Toeplitz arrays, linear sequence transformations, and orthogonal polynomials