Publications - F.G. Lether
     Cat's Eye Nebula NGC 6543
 

Period: 2000-
 

• Lether, F., Analytical Expansions for  the Numerical Approximation of the Fermi-Dirac Integrals  F_j(x) of Order j = - 1/2 and j  = 1/2,  J. Sci. Comput. 15 (2000), 479-497

 
• Lether, F., Variable Precision Algorithm for the Numerical Computation of the Fermi-Dirac Function  F_j(x)  of Order j = -3/2, J. Comp. Sci. Comput. 16 (2001), 69-79

Period: 1990-1999
 

Lether, F., Thiele Rational Interpolation for the Numerical Computation of the Reversible Randles-Sevcik Function in Electrochemistry, J. Sci. Comp. 14 (1999), 259-274

• Lether, F., Shifted Rectangular Quadrature Rule Approximations to Dawson's Integral F(x), J. Comp. Appl. Math. (92) (1998), 97-102

 
• Lether, F., Constrained Near-Minimax Rational Approximation to Dawson's Integral, Appl. Math, Comp. 88 (1997), 267-274

 
• Lether, F. and Wenston, P., Rational Approximations Formulas for Computing the Positive Zeros of J₀(x), J. Comp. Appl. Math. 67 (1996), 167-172

 
• Lether, F. and Wenston, P., Minimax Approximations to the Zeros of P_n(x) and Gauss-Legendre Quadrature, J. Comp. Appl. Math. 59 (1995), 242-252

 
• Lether, F., Approximations to the Hubbell Rectangular-Source Integral, J. Comp. Appl. Math. 57 (1995), 393-402

 
• Lether, F. and Wenston, P., Elementary Approximations to erf(x), J. Quant. Spect. Rad. Trans. 49 (1993), 573-577

 
• Lether, F and Wenston, P., Elementary Approximations for Dawson's Integral, J. Quant. Spect. Rad. Trans. 46 (1991), 343-345

 
• Lether, F and Wenston, P., The Numerical Computation of the Voigt Function by a Corrected Midpoint Quadrature Rule, Comp. Appl. Math. 34 (1991), 75-92

 
• Lether, F, An Elementary Approximation for exp(x²)erfc(x), J. Quant. Spect. Rad. Trans. 43 (1990), 511-513

 
• Lether, F. and Shivpuri, V., Chebyshev Methods for the Numerical Computation of the Reversible Randles-Sevcik Function, Computers and Chemistry 14 (1990), 177-181

 
• Lether, F., Some Observations on the Computation of the Cylindrical-Exponential Integral D_n(x), J. Quant. Spect. Rad. Trans. 43 (1990), 187-189

 
• Lether, F. and Wenston, P., An Algorithm for the Numerical Computation of the Voigt Function, Appl. Math. Comp 35 (1990), 227-289

Period: 1980 -1989
 
• Lether, F. and Wenston, P., An Algorithm for the Numerical Evaluation of the Reversible Randles-Sevcik Function, Computers in Chemistry 11 (1987), 179-183

 
• Lether, F., Quadrature Rules for Approximating Semiintegrals and Semiderivatives, Comp. Appl. Math. 17 (1987), 115-129

 
• Lether, F., Curves Made Simple, PC Tech Journal 4 (1986), 159-170

 
• Lether, F., Solving Cubic Equations, PC Tech Journal 3 (1985), 42

 
• Lether, F. and Evans, O., An Algorithm for the Reversible Randles-Sevcik Function in Electrochemistry, Appl. Math. Comp. 16 (1985), 253-264

 
• Lether, F., An Error Analysis for the Calculation of Semiintegrals and Semiderivatives by the RL-algorithm, J. Appl. Math. Comp. 17 (1985), 45-67

 
• Lether, F., Cline, D. and Evans, O., Numerical Approximation of Semiintegrals and Semiderivatives by Product Quadrature Rules, J. Math. Phys. Sci. 16 (1982), 111-121

 
• Lether, F., Cline, D. and Evans, O., Numerical Approximation of Semiintegrals and Semiderivatives by Gaussian Quadrature, J. Math. Phys. Sci. 16 (1982), 87-95

Lether, F., Some Observations on Gauss-Legendre Quadrature Error Estimates for Analytic Functions, J. Comp. Appl. Math. 7 (1981), 63-66

• Lether, F., Error Estimates for Gaussian Quadrature, J. Comp. Appl. Math. 7 (1980), 237-246

 

 

Period: 1970 -1979

• Lether, F., Wilhelmsen, D. and Frazier, G., On the Positivity of Cotes Numbers Based on Jacobi Abscissas, Computing (1979), 171-175

 
• Lether, F., On the Construction of Gauss-Legendre Quadrature Rules, J. Comp. Appl. Math. 4 (1978), 45-52

 
• Lether, F., Modified Quadrature Formulas for Functions with Nearby Poles, J. Comp. Appl. Math. 3 (1977), 3-9

 
• Lether, F., Subtracting out Complex Singularities in Numerical Integration, Math. Comp. 31 (1977), 223-229

 
• Lether, F., On Birkhoff-Young Quadrature of Analytic Functions, J. Comp. Appl. Math. 2 (1976), 81-84

 
• Lether, F., Computation of Double Integrals Over a Triangle, J. Comp. Appl. Math. 2 (1976), 219-223

 
• Lether, F., Error Bounds for Fully Symmetric Quadrature Rules, SIAM J. Num. Anal. 11 (1974), 1-9

 
• Lether, F., Cubature Error Constants for Analytic Functions, SIAM J. Num. Anal. 11 (1974), 232-236

 
• Lether, F., Cubature Error Bounds for Analytic Functions, Math. Comp. 27 (1973), 665-668

 
• Lether, F., A Generalized Product Rule for the Circle, SIAM J. Num. Anal. 8 (1971), 249-253

 
• Lether, F., Cubature Error Bounds for Gauss-Legendre Product Rules, SIAM J. Num. Anal. 8 (1971), 36-42

 
• Lether, F., Error Bounds for Fully Symmetric Cubature Rules, SIAM J. Num. Anal. 8 (1971), 49-60

 
• Lether, F., Cross-Product Cubature Error Bounds, Math. Comp. 24 (1970), 583-592

 
• Lether, F., An Error Representation for Product Cubature Rules, SIAM J. Numerical Anal. 7 (1970), 363-365

 
• Lether, F. and Wise, G.L., Ralston Quadrature Constants, Math. Comp. 24 (1970) , microfiche section, review 66, 987

Period: 1966

Lether, F., The Use of Richardson Extrapolation in One-Step Methods with Variable Step Size, Math. Comp. 30 (1966), 379-385