- G M Phillips and P J Taylor.
'Theory and Applications of Numerical Analysis' Second Edition, Academic Press, 1996 (447 pages).

- G M Phillips and P J Taylor. 'Computers', Methuen, 1969 (178 pages).

- 1. G M Phillips. A property of the axioms of projective geometry. Mathematical Gazette
**45**, 228-229 (1961). - 2. J Dawson, G M Phillips and B A M Willcox. Computation of X-ray diagnostic exposure tables. Br. J. Radiol.
**39**, 117-121 (1966). - 3. G M Phillips. Numerical integration in two and three dimensions. Comp. J.
**10**, 202-204 (1967). - 4. G M Phillips. Numerical integration over an N-dimensional rectangular region. Comp. J.
**10**, 297-299 (1967). - 5. G M Phillips. Estimate of the maximum error in best polynomial approximations. Comp. J.
**11**, 110-111 (1968). - 6. G M Phillips. Algorithms for piecewise straight line approximations. Comp. J.
**11**, 211-212 (1968). - 7. G M Phillips and M A Wolfe. Some methods for the solution of non-singular Volterra integro-differential equations. Comp. J.
**11**, 334-336 (1968). - 8. G M Phillips. Error estimates for best polynomial approximations. Contrib. to Proceedings of Symposium on Approximation Theory, Lancaster 1969, Academic Press, A Talbot (Ed.), 1-6 (1970).
- 9. G M Phillips and P J Taylor. Approximation of convex data. BIT
**10**, 324-332 (1970). - 10. G M Phillips. Analysis of numerical iterative methods for solving integral and integro-differential equations. Comp. J.
**13**, 297-299 (1970). - 11. G M Phillips. An error estimate for Volterra integral equations. BIT
**11**, 181-186 (1971). - 12. G M Phillips. Error estimates for certain integration rules on the triangle. Conference on Applications of Numerical Analysis, Dundee 1971, Lecture Notes in Mathematics
**228**, 321-326, Springer-Verlag (1971). - 13. A R Mitchell, G M Phillips and E L Wachspress. Forbidden shapes in the finite element method. Journal Inst. Maths. Applications
**8**, 260-269 (1971). - 14. A R Mitchell and G M Phillips. Construction of basis functions in the finite element method. BIT
**12**, 81-89 (1972). - 15. G M Phillips. Gregory's method for numerical integration. Amer. Math. Monthly
**79**, 270-274 (1972). - 16. B H Laidlaw and G M Phillips. Iterative methods for solving Fredholm integral equations. BIT
**12**, 188-193 (1972). - 17. G M Phillips. Explicit forms for certain Hermite approximations. BIT
**13**, 177-180 (1973). - 18. J H McCabe and G M Phillips. On a certain class of Lebesgue constants. BIT
**13**, 434-442 (1973). - 19. F Deutsch, J H McCabe and G M Phillips. Some algorithms for computing best approximations from convex cones. S.I.A.M. Journal of Numerical Analysis
**12**, 390-403 (1975). - 20. G M Phillips and B N Sahney. An error estimate for least squares approximation. BIT
**15**, 426-430 (1975). - 21. G M Phillips and B N Sahney. Best simultaneous approximation in the L1 and L2 norms. Contrib. to Theory of Approximation with Applications, Academic Press, 213-219 (1976).
- 22. A S B Holland, J H McCabe, G M Phillips and B N Sahney. Best simultaneous L1 approximations. J. Approx. Theory
**24**, 361-365 (1978). - 23. E W Cheney, J H McCabe and G M Phillips. On simultaneous Chebyshev approximation. J. Approx. Theory
**27**, 93-98 (1979). - 24. E W Cheney, J H McCabe and G M Phillips. A mixed norm bivariate approximation problem with applications to Lewanowicz operators. Proceedings of the Research Symposium on Multivariate Approximation, University of Durham, 315-323 (1979).
- 25. G M Phillips. Best polynomial approximations: a corrected proof. BIT
**19**, 95-97 (1979). - 26. G M Phillips. Seventh degree integration rules for the cube. BIT
**19**, 98-103 (1979). - 27. G M Phillips. Seventh degree integration rules for the sphere. BIT
**20**, 117-119 (1980). - 28. G M Phillips. The development of logarithms. Bull. I.M.A.
**16**, 165-168 (1980). - 29. G M Phillips. A survey of one-dimensional and multidimensional numerical integration. Comp. Phys. Comm.
**20**, 17-27 (1980). - 30. R E Grundy and G M Phillips. Application of Hermite approximation to a boundary value problem. J. Comp. Phys.
**38**, 251-256 (1980). - 31. A S B Holland, G M Phillips and P J Taylor. Generalization of a theorem of Bernstein. Contrib. to Approximation Theory III, Academic Press, E W Cheney (Ed.), 513-516 (1980).
- 32. G M Phillips. The summing of square roots. Mathematical Gazette
**65**, 132-134 (1981). - 33. G M Phillips. Seventh degree integration rules for R3. BIT
**21**, 126-128 (1981). - 34. G M Phillips. Archimedes the numerical analyst. Amer. Math. Monthly
**88**, 165-169 (1981). - 35. E W Cheney, W Light, J H McCabe and G M Phillips. The approximation of bivariate functions by sums of univariate ones using the L1 metric. Proc. Edin. Math. Soc.
**25**, 173-181 (1982). - 36. G M Phillips and P J Taylor. Polynomial approximation using equioscillation on the extreme points of Chebyshev polynomials. J. Approx. Theory
**36**, 257-264 (1982). - 37. G M Phillips. Rational approximations: a basic approach. Mathematical Gazette
**67**, 247-250 (1983). - 38. D M E Foster and G M Phillips. A generalization of the Archimedean double sequence. J. Math. Anal. and Applics.
**101**, 575-581 (1984). - 39. D M E Foster and G M Phillips. The Arithmetic-Harmonic Mean. Math. of Comp.
**42**, 183-191 (1984). - 40. G M Phillips. Archimedes and the complex plane. Amer. Math. Monthly
**91**, 108-114 (1984). - 41. G E Bell and G M Phillips. Aitken acceleration of some alternating series. BIT
**24**, 70-77 (1984). - 42. G M Phillips. Aitken sequences and Fibonacci numbers. Amer. Math. Monthly
**91**, 354-357 (1984). - 43. A S B Holland, G M Phillips and P J Taylor. A relation between Peano kernels and a theorem of Bernstein. J. Approx. Theory
**41**, 386-389 (1984). - 44. D M E Foster and G M Phillips. The approximation of certain functions by compound means. Contrib. to NATO Study Institute on Approximation Theory and Spline Functions, D Reidel, 89-95 (1984).
- 45. G M Phillips and P J Taylor. Semi-norms in polynomial approximation. Contrib. to NATO Study Institute on Approximation Theory and Spline Functions, D Reidel, 147-150 (1984).
- 46. G M Phillips and P J Taylor. On the estimation of orthogonal coefficients. Contrib. to Constructive Theory of Functions 1984, Publishing House of the Bulgarian Academy of Sciences, Sofia, 675-678 (1984).
- 47. J H McCabe and G M Phillips. Aitken sequences and generalized Fibonacci numbers. Math. of Comp.
**45**, 553-558 (1985). - 48. D M E Foster and G M Phillips. General compound means. Contrib. to Approximation Theory and Applications, Research Notes in Mathematics, Pitman, S P Singh (Ed.), 56-65 (1985).
- 49. J H McCabe and G M Phillips. Fibonacci and Lucas numbers and Aitken acceleration. Contrib. to Fibonacci Numbers and their Applications, G E Bergum, A N Philippou and A F Horadam (Eds.), D Reidel, 181-184 (1986).
- 50. H T Freitag and G M Phillips. A congruence relation for certain recursive sequences. Fibonacci Quarterly
**24**, 332-335 (1986). - 51. D M E Foster and G M Phillips. Double mean processes. Bull. I.M.A.
**22**, 170-173 (1986). - 52. G M Phillips. Two topics from the history of numerical analysis in China and Europe. Tianjin Mathematical Journal
**4**, 47-50 (1986) - in Chinese. - 53. D Elliott, D F Paget, G M Phillips and P J Taylor. Error of truncated Chebyshev series and other near minimax polynomial approximations. J. Approx. Theory
**50**, 49-57 (1987). - 54. S L Lee and G M Phillips. Interpolation on the triangle. Comm. in Applied Numerical Methods
**3**, 271-276 (1987). - 55. B L Chalmers, G M Phillips and P J Taylor. Polynomial approximation using projections whose kernels contain the Chebyshev polynomials. J. Approx. Theory
**53**, 321-334 (1988). - 56. S L Lee and G M Phillips. Interpolating polynomials on the triangle. Contrib. to Constructive Theory of Functions 1987, Publishing House of the Bulgarian Academy of Sciences, Sofia, 288-291 (1988).
- 57. S L Lee and G M Phillips. Polynomial interpolation at points of a geometric mesh on a triangle. Proc. Roy. Soc. Edin.
**108A**, 75-87 (1988). - 58. H T Freitag and G M Phillips. A congruence relation for a linear recursive sequence of arbitrary order. Contrib. to Applications of Fibonacci Numbers, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht-Boston, 39-44 (1988).
- 59. S L Lee and G M Phillips. Interpolation on the simplex by homogeneous polynomials. Contrib. to Proceedings of International Conference on Numerical Mathematics, International Series of Numerical Mathematics
**86**, Birkhäuser Verlag, Basel, 295-305 (1988). - 60. S L Lee and G M Phillips. A recurrence relation for Gaussian multinomial coefficients. Contrib. to Applications of Fibonacci Numbers
**3**, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht-Boston, 239-240 (1990). - 61. D Elliott and G M Phillips. Improved error bounds for near-minimax approximations, BIT
**31**, 262-275 (1991). - 62. S L Lee and G M Phillips. Construction of lattices for Lagrange interpolation in projective space, Constructive Approximation
**7**, 283-297 (1991). - 63. H T Freitag and G M Phillips. On co-related sequences involving generalized Fibonacci numbers, Contrib. to Applications of Fibonacci Numbers
**4**, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht-Boston, 121-125 (1991). - 64. G M Phillips. Error estimates for near-minimax approximations. Contrib. to Approximation Theory, Spline Functions and Applications, S P Singh (Ed.), Kluwer, Dordrecht-Boston, 223-241 (1992).
- 65. G M Phillips and P J Taylor. Algorithms for spline and other approximations to functions and data, Comp. Phys. Comm.
**73**, 1-21 (1992). - 66. G M Phillips. More applicable error estimates for quadrature rules, Constructive Theory of Functions, Varna 1991, Publishing House of the Bulgarian Academy of Sciences, Sofia, 215-218 (1992).
- 67. S L Lee and G M Phillips. Pencils, Pappus' Theorem and Polynomial Interpolation, Math. Medley
**20**, 68-78 (1992). - 68. H T Freitag and G M Phillips. Co-related sequences satisfying the general second order recurrence relation. Contrib. to Applications of Fibonacci Numbers
**5**, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht, 257-262 (1993). - 69. D K Dimitrov and G M Phillips. A note on convergence of Newton interpolating polynomials. J. Computational and Applied Math.
**51**, 127-130 (1994). - 70. Z F Koçak and G M Phillips. B-splines with geometric knot spacings. BIT
**34**, 388-399 (1994). - 71. S L Lee and G M Phillips. Interpolation on the triangle and simplex. Contrib. to Approximation Theory, Wavelets and Applications, S P Singh, Antonio Carbone and B Watson (Eds.), Kluwer, Dordrecht, 177-196 (1995).
- 72. Z F Koçak and G M Phillips. A one-parameter class of B-splines. Contrib. to Approximation Theory, Wavelets and Applications, S P Singh, Antonio Carbone and B Watson (Eds.), Kluwer, Dordrecht, 169-176 (1995).
- 73. H T Freitag and G M Phillips. On the sum of consecutive squares. Contrib. to Applications of Fibonacci Numbers
**6**, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht, 137-142 (1996). - 74. Z F Koçak and G M Phillips. An identity involving the q-factorial. Contrib. to Applications of Fibonacci Numbers
**6**, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht, 291-296 (1996). - 75. G. M. Phillips. On generalized Bernstein polynomials. Contrib. to Numerical Analysis : A R Mitchell 75th Birthday Volume, D F Griffiths and G A Watson (Eds.), World Scientific, 263-269 (1996).
- 76. A Sri Ranga, E X L de Andrade and G M Phillips. Associated symmetric quadrature rules. Applied Num. Math.
**21**, 175-183 (1996). - 77. H T Freitag and G M Phillips. On the Zeckendorf form of F_{kn}/F_n . Fibonacci
Quarterly
**34**, 444-446 (1996). - 78. G M Phillips. A de Casteljau algorithm for generalized Bernstein polynomials. BIT
**36**, 232-236 (1996). - 79. G M Phillips. Bernstein polynomials based on the q-integers. Contrib. to The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin, Annals of Numerical Math.
**1-4**, 511-518 (1997). - 80. G M Phillips. Archimedes the Numerical Analyst. Contrib. to "Pi : A Source Book", L B Berggren, J M Borwein, P B Borwein (Eds.), Springer, 1997.
- 81. H T Freitag and G M Phillips. Zeckendorf arithmetic. Contrib. to Applications of Fibonacci Numbers
**7**, G E Bergum, A N Philippou and A F Horadam (Eds.), Kluwer, Dordrecht (to appear). - 82. G M Phillips. On generalized Bernstein polynomials. Contrib. to Proc. International Conference on Approximation and Optimization, D D Stancu, G Coman, W W Breckner, P Blagu (Eds.), Transylvania Press, 1997.
- 83. Z F Koçak and G M Phillips. B-splines with knots spaced in geometric progression. Contrib. to International Conference on Approximation and Optimization, D D Stancu, G Coman, W W Breckner, P Blagu (Eds.), Transylvania Press, 1997.
- 84. Tim N T Goodman, Halil Oruç and G M Phillips. Convexity and generalized Bernstein polynomials, Proc. Edin. Math. Soc. (to appear).
- 85. Halil Oruç and G M Phillips. A generalization of the Bernstein polynomials, Proc. Edin. Math. Soc. (to appear).

- Translation editor of "The Averaged Moduli of Smoothness", B Sendov and V Popov, Wiley, 1988. (Translated from Bulgarian.)