John R. Cannon

Personal Home Page

http://www.math.ucf.edu/faculty/about.shtml?Cannon

Articles in Scholarly Journals [Incomplete List]

  1. Fluid flow over a nonlinearly stretching sheet
    Applied Mathematics and Computation, vol. 181, no. 1, pp. 609–618, 2006
  2. On a class of nonlinear nonclassical parabolic equations
    Applicable Analysis, vol. 85, no. 1-3, pp. 23–44, 2006
  3. The utilization of total mass to determine the switching points in the symmetric boundary control problem with a linear reaction term
    Journal of Mathematical Analysis and Applications, vol. 311, no. 1, pp. 147–161, 2005
  4. On the solution a of second order singularly-perturbed boundary value problem by the Sinc-Galerkin method
    Zeitschrift f�r angewandte Mathematik und Physik, vol. 56, no. 1, pp. 45–58, 2005
  5. Nonlinear convection at a porous flat plate with application to heat transfer from a dike
    Journal of Mathematical Analysis and Applications, vol. 277, no. 2, pp. 609–623, 2003
  6. Sinc-Galerkin method for solving linear sixth-order boundary-value problems
    Mathematics of Computation, vol. 73, no. 247, pp. 1325–1344, 2003
  7. On solutions of some non-linear differential equations arising in third grade fluid flows
    International Journal of Engineering Science, vol. 40, no. 16, pp. 1791–1805, 2002
  8. Analytical and Numerical Solutions of Nonlinear Differential Equations Arising in Non-Newtonian Fluid Flows
    Journal of Mathematical Analysis and Applications, vol. 250, no. 1, pp. 204–221, 2000
  9. A modified nonlinear Galerkin method for the viscoelastic fluid motion equations
    International Journal of Engineering Science, vol. 37, no. 13, pp. 1643–1662, 1999
  10. Statistical estimation of locations of lightning events
    Journal of Geophysical Research, vol. 104, no. D8, pp. 9635–9641, 1999
  11. Inverse Problems, vol. 14, no. 3, pp. 535–551, 1998
  12. Inverse Problems, vol. 10, no. 2, pp. 227–243, 1994
  13. Inverse Problems, vol. 10, no. 3, pp. 521–531, 1994
  14. The solution of the diffusion equation in two space variables subject to the specification of mass
    Applicable Analysis, vol. 50, no. 1, pp. 1–15, 1993
  15. A Parabolic Trace Type Functional-Differential Equation
    Journal of Differential Equations, vol. 104, no. 2, pp. 325–331, 1993
  16. A minimization problem related to the estimation of a lower bound for the temperature in a free boundary value problem related to the combustion of a solid
    Meccanica, vol. 28, no. 2, pp. 83–89, 1993
  17. A numerical procedure for diffusion subject to the specification of mass
    International Journal of Engineering Science, vol. 31, no. 3, pp. 347–355, 1993
  18. Trace type functional differential equations and the identification of hydraulic properties of porous media
    Transport in Porous Media, vol. 6, no. 5-6, 1991
  19. Inverse Problems, vol. 7, no. 1, pp. 57–62, 1991
  20. Inverse Problems, vol. 7, no. 1, pp. 149–161, 1991
  21. Recovering a time dependent coefficient in a parabolic differential equation
    Journal of Mathematical Analysis and Applications, vol. 160, no. 2, pp. 572–582, 1991
  22. A periodic free boundary problem arising in some diffusion chemical reaction processes
    Nonlinear Analysis, vol. 15, no. 7, pp. 639–648, 1990
  23. Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation
    Journal of Mathematical Analysis and Applications, vol. 147, no. 2, pp. 363–371, 1990
  24. An inverse problem of finding a parameter in a semi-linear heat equation
    Journal of Mathematical Analysis and Applications, vol. 145, no. 2, pp. 470–484, 1990
  25. Numerical solutions of some parabolic inverse problems
    Numerical Methods for Partial Differential Equations, vol. 6, no. 2, pp. 177–191, 1990
  26. An implicit finite difference scheme for the diffusion equation subject to mass specification
    International Journal of Engineering Science, vol. 28, no. 7, pp. 573–578, 1990
  27. A Galerkin procedure for diffusion equations with boundary integral conditions
    International Journal of Engineering Science, vol. 28, no. 7, pp. 579–587, 1990
  28. A System Involving a Nonlinear First-Order Partial Differential Equation Coupled with a Nonlinear Volterra Integral Equation
    SIAM Journal on Applied Mathematics, vol. 50, no. 4, p. 1001, 1990
  29. A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
    SIAM Journal on Numerical Analysis, vol. 27, no. 3, p. 595, 1990
  30. On the Rainfall Infiltration Through a Soil Medium
    SIAM Journal on Applied Mathematics, vol. 49, no. 3, p. 720, 1989
  31. Galerkin methods and L2-error estimates for hyperbolic integro-differential equations
    Calcolo, vol. 26, no. 2-4, pp. 197–207, 1989
  32. A class of non-linear non-classical parabolic equations
    Journal of Differential Equations, vol. 79, no. 2, pp. 266–288, 1989
  33. Inverse Problems, vol. 4, no. 1, pp. 35–45, 1988
  34. Non-classicalH 1 projection and Galerkin methods for non-linear parabolic integro-differential equations
    Calcolo, vol. 25, no. 3, pp. 187–201, 1988
  35. On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem
    Journal of Differential Equations, vol. 73, no. 1, pp. 104–118, 1988
  36. Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data
    Annali di Matematica Pura ed Applicata, vol. 152, no. 1, pp. 375–385, 1988
  37. The Determination of Rate Constants from Known Linear Combinations of Concentrations in a Chemical Reaction
    IMA Journal of Applied Mathematics, vol. 41, no. 1, pp. 67–84, 1988
  38. A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
    SIAM Journal on Numerical Analysis, vol. 24, no. 3, p. 499, 1987
  39. Design of an experiment for the determination of an unknown coefficient in a nonlinear conduction-diffusion equation
    International Journal of Engineering Science, vol. 25, no. 8, pp. 1067–1078, 1987
  40. An inverse problem for an elliptic partial differential equation
    Journal of Mathematical Analysis and Applications, vol. 126, no. 2, pp. 329–340, 1987
  41. Inverse Problems, vol. 2, no. 4, pp. 395–403, 1986
  42. Diffusion subject to the specification of mass
    Journal of Mathematical Analysis and Applications, vol. 115, no. 2, pp. 517–529, 1986
  43. A Free Boundary-Value Problem Related to the Combustion of a Solid
    SIAM Journal on Applied Mathematics, vol. 45, no. 5, p. 798, 1985
  44. An Inverse Problem for an Unknown Source Term in a Wave Equation
    SIAM Journal on Applied Mathematics, vol. 43, no. 3, p. 553, 1983
  45. The bidmensional stefan problem with convection: the time dependent case
    Communications in Partial Differential Equations, vol. 8, no. 14, pp. 1549–1604, 1983
  46. The one phase Stefan problem subject to the specification of energy1, 2
    Journal of Mathematical Analysis and Applications, vol. 86, no. 1, pp. 281–291, 1982
  47. Parameter determination in parabolic partial differential equations from overspecified boundary data
    International Journal of Engineering Science, vol. 20, no. 6, pp. 779–788, 1982
  48. The classical solution of the one-dimensional two-phase stefan problem with energy specification
    Annali di Matematica Pura ed Applicata, vol. 130, no. 1, pp. 385–398, 1982
  49. Weak solutionsu(x, t) to parabolic partial differential equations with coefficients that depend uponu(yl, s, (t, u(x, t))), 1 = 1, … k
    Journal of Differential Equations, vol. 42, no. 3, pp. 438–446, 1981
  50. A Galerkin procedure for systems of differential equations
    Calcolo, vol. 17, no. 1, pp. 1–23, 1980
  51. The steady state Stefan problem with convection
    Archive for Rational Mechanics and Analysis, vol. 73, no. 1, pp. 79–97, 1980
  52. An inverse problem for an unknown source in a heat equation
    Journal of Mathematical Analysis and Applications, vol. 75, no. 2, pp. 465–485, 1980
  53. An Inverse Problem for a Nonlinear Diffusion Equation
    SIAM Journal on Applied Mathematics, vol. 39, no. 2, p. 272, 1980
  54. Free Boundary Problems in Solidification of Alloys
    SIAM Journal on Mathematical Analysis, vol. 11, no. 2, p. 254, 1980
  55. On the Existence of Weak-Solutions to an $n$-Dimensional Stefan Problem with Nonlinear Boundary Conditions
    SIAM Journal on Mathematical Analysis, vol. 11, no. 4, p. 632, 1980
  56. Some asymptotic boundary behavior of solutions of non-linear parabolic initial-boundary value problems1
    Journal of Mathematical Analysis and Applications, vol. 68, no. 2, pp. 536–547, 1979
  57. A coupled nonlinear hyperbolic-parabolic system1
    Journal of Mathematical Analysis and Applications, vol. 58, no. 3, pp. 665–686, 1977
  58. A nonlinear parabolic free boundary problem
    Annali di Matematica Pura ed Applicata, Series 4, vol. 112, no. 1, pp. 119–149, 1977
  59. Approximating the Solution to the Cauchy Problem for Laplace’s Equation
    SIAM Journal on Numerical Analysis, vol. 14, no. 3, p. 473, 1977
  60. Weak Solutions of the Time-Dependent Continuous-Energy Equation of Neutron Diffusion
    SIAM Journal on Mathematical Analysis, vol. 8, no. 1, p. 155, 1977
  61. Determination of a source term in a linear parabolic partial differential equation
    Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 27, no. 3, pp. 393–401, 1976
  62. Quasilinear parabolic systems
    Journal of Differential Equations, vol. 20, no. 2, pp. 441–472, 1976
  63. A direct numerical procedure for the Cauchy problem for the heat equation*1
    Journal of Mathematical Analysis and Applications, vol. 56, no. 1, pp. 7–17, 1976
  64. Classical solutions of the one-dimensional, two-phase Stefan problem
    Annali di Matematica Pura ed Applicata, Series 4, vol. 107, no. 1, pp. 311–341, 1975
  65. Determination of the conductivity of an isotropic medium*1
    Journal of Mathematical Analysis and Applications, vol. 48, no. 3, pp. 699–707, 1974
  66. Continuous differentiability of the free boundary for weak solutions of the Stefan problem
    Bulletin of the American Mathematical Society, vol. 80, no. 1, pp. 45–49, 1974
  67. Determination of unknown physical properties in heat conduction problems
    International Journal of Engineering Science, vol. 11, no. 7, pp. 783–794, 1973
  68. Boundary value multidimensional problems in fast chemical reactions
    Archive for Rational Mechanics and Analysis, vol. 53, no. 1, pp. 1–13, 1973
  69. A Stefan Problem Involving the Appearance of a Phase
    SIAM Journal on Mathematical Analysis, vol. 4, no. 1, p. 141, 1973
  70. Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
    SIAM Journal on Applied Mathematics, vol. 24, no. 3, p. 298, 1973
  71. On the Observability and Stability of the Temperature Distribution in a Composite Heat Conductor
    SIAM Journal on Applied Mathematics, vol. 24, no. 4, p. 596, 1973
  72. A two phase Stefan problem with temperature boundary conditions
    Annali di Matematica Pura ed Applicata, Series 4, vol. 88, no. 1, pp. 177–191, 1971
  73. A two phase Stefan problem with flux boundary conditions
    Annali di Matematica Pura ed Applicata, Series 4, vol. 88, no. 1, pp. 193–205, 1971
  74. A two phase stefan problem: regularity of the free boundary
    Annali di Matematica Pura ed Applicata, Series 4, vol. 88, no. 1, pp. 217–228, 1971
  75. Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary
    Journal of Mathematical Analysis and Applications, vol. 35, no. 2, pp. 361–373, 1971
  76. Determination of an unknown forcing function in a hyperbolic equation from overspecified data
    Annali di Matematica Pura ed Applicata, Series 4, vol. 85, no. 1, pp. 49–62, 1970
  77. Some Continuous Dependence Theorems for Viscous Fluid Motions
    SIAM Journal on Applied Mathematics, vol. 18, no. 3, p. 627, 1970
  78. A Note on the Cauchy Problem for the Navier–Stokes Equations
    SIAM Journal on Applied Mathematics, vol. 18, no. 3, p. 641, 1970
  79. Indiana University Mathematics Journal, vol. 20, no. 5, Article ID 20037, 1970
  80. The Approximation of the Solution to the Heat Equation in a Half-Strip from Data Specified on the Bounding Characteristics
    SIAM Journal on Numerical Analysis, vol. 6, no. 1, p. 149, 1969
  81. A Finite-Difference Method for Degenerate Elliptic-Parabolic Equations
    SIAM Journal on Numerical Analysis, vol. 5, no. 2, p. 211, 1968
  82. Determination of an Unknown Heat Source from Overspecified Boundary Data
    SIAM Journal on Numerical Analysis, vol. 5, no. 2, p. 275, 1968
  83. On the infinite differentiability of the free boundary in a Stefan problem*1
    Journal of Mathematical Analysis and Applications, vol. 22, no. 2, pp. 385–397, 1968
  84. Determination of the unknown coefficient k(u) in the equation ? · k(u) ?u = 0 from overspecified boundary data1
    Journal of Mathematical Analysis and Applications, vol. 18, no. 1, pp. 112–114, 1967
  85. The Determination of Unknown Parameters in Analytic Systems of Ordinary Differential Equations
    SIAM Journal on Applied Mathematics, vol. 15, no. 4, p. 799, 1967
  86. Numerical Experiments on the Solution of Some Biharmonic Problems by Mathematical Programming Techniques
    SIAM Journal on Numerical Analysis, vol. 4, no. 2, p. 147, 1967
  87. The Cauchy Problem for the Heat Equation
    SIAM Journal on Numerical Analysis, vol. 4, no. 3, p. 317, 1967
  88. The Numerical Solution of Some Biharmonic Problems by Mathematical Programming Techniques
    SIAM Journal on Numerical Analysis, vol. 3, no. 3, p. 451, 1966
  89. Determination of certain parameters in heat conduction problems
    Journal of Mathematical Analysis and Applications, vol. 8, no. 2, pp. 188–201, 1964
  90. A Cauchy problem for the heat equation
    Annali di Matematica Pura ed Applicata, Series 4, vol. 66, no. 1, pp. 155–165, 1964
  91. A priori estimate for continuation of the solution of the heat equation in the space variable
    Annali di Matematica Pura ed Applicata, Series 4, vol. 65, no. 1, pp. 377–387, 1964
  92. Determination of the diffusivity of an isotropic medium
    International Journal of Engineering Science, vol. 1, no. 4, pp. 453–455, 1963
  93. Determination of the diffusivity of an anisotropic medium
    International Journal of Engineering Science, vol. 1, no. 4, pp. 457–460, 1963
  94. A dirichlet problem for an equation of mixed type with a discontinuous coefficient
    Annali di Matematica Pura ed Applicata, Series 4, vol. 61, no. 1, pp. 371–377, 1963