Refereed publications by Adri Olde Daalhuis

  1. Farid Khwaja, S.; Olde Daalhuis, A. B. Uniform asymptotic expansions for hypergeometric functions with large parameters IV Analysis and Applications 12 (2014), no. 6, 667--710.
  2. Farid Khwaja, S.; Olde Daalhuis, A. B. Exponentially accurate uniform asymptotic approximations for integrals and Bleistein's method revisited R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 469 (2013), no. 2153, 20130008, 12 pp.
  3. Howls, C.J.; Olde Daalhuis, A. B. Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation, Nonlinearity 25 (2012), 1559--1584.
  4. Farid Khwaja, S.; Olde Daalhuis, A. B. Uniform asymptotic approximations for the Meixner-Sobolev polynomials, Analysis and Applications 10 (2012), no. 3, 345--361.
  5. Bender, E. A.; Olde Daalhuis, A. B.; Gao, Z.; Richmond, B.; and Wormald, N. Asymptotics of Some Convolutional Recurrences , The electronic journal of combinatorics 17(1) (2010)
  6. Olde Daalhuis, A. B. Uniform Asymptotic Expansions for Hypergeometric Functions with Large Parameters III, Analysis and Applications 8 (2010), 199--210.
  7. Olde Daalhuis, A. B. Hyperasymptotics and hyperterminants: Exceptional cases J. Comput. Appl. Math. 233 (2009), no. 2, 555--563.
  8. Olde Daalhuis, A. B. Mixed Gevrey asymptotics, Analysis and Applications 6 (2008), no. 2, 151--168.
  9. Olafsdottir, E. I.; Olde Daalhuis, A. B.; Vanneste, J. Inertia–gravity-wave radiation by a sheared vortex, J. Fluid Mech. 596 (2008), 169-189.
  10. Chapman, S. J.; Howls, C.J.; King, J. R.; Olde Daalhuis, A. B. Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation, Nonlinearity 20 (2007), 2425--2452.
  11. Olde Daalhuis, A. B. Hyperasymptotics for nonlinear ODEs II. The first Painleve equation and a second-order Riccati equation R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 461 (2005), 3005--3021.
  12. Olde Daalhuis, A. B. Hyperasymptotics for nonlinear ODEs I. A Riccati equation R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 461 (2005), 2503--2520.
  13. Olafsdottir, E. I.; Olde Daalhuis, A. B.; Vanneste, J. Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 461 (2005), 2243--2256.
  14. Olde Daalhuis, A. B. On higher order Stokes phenomena of an inhomogeneous linear ordinary differential equation J. Comput. Appl. Math. 169 (2004), no. 1, 235--246.
  15. Olde Daalhuis, A. B. Inverse factorial series solutions of difference equations Proc. Edinb. Math. Soc. 47 (2004), no. 2, 421--448.
  16. Howls, C. J.; Langman, P. J.; Olde Daalhuis, A. B. On the higher order Stokes phenomenon R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 460 (2004), no. 2048, 2285--2303.
  17. Howls, C. J.; Olde Daalhuis, A. B. Hyperasymptotic solutions of inhomogeneous linear differential equations with a singularity of rank one R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 459 (2003), no. 2038, 2599--2612.
  18. Olde Daalhuis, A. B. Uniform asymptotic expansions for hypergeometric functions with large parameters. I. Anal. Appl. (Singap.) 1 (2003), no. 1, 111--120.
  19. Olde Daalhuis, A. B. Uniform asymptotic expansions for hypergeometric functions with large parameters. II. Anal. Appl. (Singap.) 1 (2003), no. 1, 121--128.
  20. Howls, C. J.; Olde Daalhuis, A. B. On the resurgence properties of the uniform asymptotic expansion of Bessel functions of large order. R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 455 (1999), no. 1991, 3917--3930.
  21. Olde Daalhuis, A. B. On the asymptotics for late coefficients in uniform asymptotic expansions of integrals with coalescing saddles. Methods Appl. Anal. 7 (2000), no. 4, 727--745.
  22. Olde Daalhuis, A. B. On the Borel transform of the uniform asymptotic expansion of Bessel functions of large order. Toward the exact WKB analysis of differential equations, linear or non-linear (Kyoto, 1998), 120, 189--195, Kyoto Univ. Press, Kyoto, 2000.
  23. Olde Daalhuis, A. B. On the resurgence properties of the uniform asymptotic expansion of the incomplete gamma function. Methods Appl. Anal. 5 (1998), no. 4, 425--438.
  24. Olde Daalhuis, A. B. On the computation of Stokes multipliers via hyperasymptotics. Resurgent functions and convolution integral equations (Japanese) (Kyoto, 1998). Surikaisekikenkyusho Kokyuroku No. 1088 (1999), 68--78.
  25. Olde Daalhuis, A. B.; Olver, F. W. J. On the asymptotic and numerical solution of linear ordinary differential equations. SIAM Rev. 40 (1998), no. 3, 463--495
  26. Olde Daalhuis, A. B. Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one. R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 454 (1998), no. 1968, 1--29. NOTE: The Royal Society managed to change all the \Gamma's into r's. The corrected version is here: Large PDF file
  27. Olde Daalhuis, A. B. Hyperterminants. II. J. Comput. Appl. Math. 89 (1998), no. 1, 87--95.
  28. Majima, Hideyuki; Howls, Chris J.; Olde Daalhuis, Adri B. Vanishing theorems in asymptotic analysis. III. Structure of solutions of differential equations (Katata/Kyoto, 1995), 267--278, World Sci. Publishing, River Edge, NJ, 1996.
  29. Olde Daalhuis, A. B. Hyperterminants. I. J. Comput. Appl. Math. 76 (1996), no. 1-2, 255--264.
  30. Olde Daalhuis, A. B.; Olver, F. W. J. On the calculation of Stokes multipliers for linear differential equations of the second order. Methods Appl. Anal. 2 (1995), no. 3, 348--367.
  31. Olde Daalhuis, A. B.; Chapman, S. J.; King, J. R.; Ockendon, J. R.; Tew, R. H. Stokes phenomenon and matched asymptotic expansions. SIAM J. Appl. Math. 55 (1995), no. 6, 1469--1483.
  32. Olde Daalhuis, A. B. Hyperasymptotic solutions of second-order linear differential equations. II. Methods Appl. Anal. 2 (1995), no. 2, 198--211.
  33. Olde Daalhuis, A. B.; Olver, F. W. J. Hyperasymptotic solutions of second-order linear differential equations. I. Methods Appl. Anal. 2 (1995), no. 2, 173--197.
  34. Olde Daalhuis, A. B. Asymptotic expansions for $q$-gamma, $q$-exponential, and $q$-Bessel functions. J. Math. Anal. Appl. 186 (1994), no. 3, 896--913.
  35. Olde Daalhuis, A. B.; Temme, N. M. Uniform Airy-type expansions of integrals. SIAM J. Math. Anal. 25 (1994), no. 2, 304--321.
  36. Olde Daalhuis, A. B.; Olver, F. W. J. Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank one. Proc. Roy. Soc. London Ser. A 445 (1994), no. 1923, 39--56.
  37. Olde Daalhuis, Adri B. Computing with Daubechies' wavelets. Wavelets: an elementary treatment of theory and applications, 93--105, Ser. Approx. Decompos., 1, World Sci. Publishing, River Edge, NJ, 1993.
  38. Olde Daalhuis, A. B. Hyperasymptotics and the Stokes' phenomenon. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), no. 4, 731--743.
  39. Olde Daalhuis, A. B. Hyperasymptotic expansions of confluent hypergeometric functions. IMA J. Appl. Math. 49 (1992), no. 3, 203--216.
  40. Olde Daalhuis, A. B. Computing with Daubechies' wavelets. CWI Quarterly 5 (1992), no. 1, 63--72.
  41. Temme, N. M.; Olde Daalhuis, A. B. Uniform asymptotic approximation of Fermi-Dirac integrals. J. Comput. Appl. Math. 31 (1990), no. 3, 383--387.