Jon Rokne

Articles in Scholarly Journals [Incomplete List]

  1. The study of quadruple integral equations involving inverse Mellin transforms and its application to a contact problem for a wedge shaped elastic solid in antiplane shear distribution
    Meccanica, vol. 42, no. 6, pp. 567–571, 2007
  2. Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips
    International Journal of Mathematics and Mathematical Sciences, vol. 2007, Article ID 60595, 9 pages, 2007
  3. Rendering Plasma Phenomena: Applications and Challenges
    Computer Graphics Forum, vol. 0, no. 0, pp. 070915195805001–???, 2007
  4. Existence of a unique zero of nonlinear systems
    Journal of Numerical Mathematics, vol. 15, no. 1, pp. 1–6, 2007
  5. Intersection test and blossoming perturbation for disk parametric curves and ball parametric surfaces
    Mathematical Problems in Engineering, vol. 2006, Article ID 29643, 28 pages, 2006
  6. Closed-form solution for piezoelectric layer with two collinear cracks parallel to the boundaries
    Mathematical Problems in Engineering, vol. 2006, Article ID 91846, 16 pages, 2006
  7. Simulation of the ball lightning phenomenon
    Computers & Graphics, vol. 30, no. 4, pp. 485–493, 2006
  8. Diffraction of torsional waves by a penny-shaped crack in a non-homogeneous thick fibre bonded to a non-homogeneous matrix
    European Journal of Mechanics - A/Solids, vol. 25, no. 6, pp. 938–949, 2006
  9. Thermal stresses in a two-dimensional infinite medium containing a rigid inclusion embedded in a line crack
    Theoretical and Applied Fracture Mechanics, vol. 46, no. 2, pp. 148–155, 2006
  10. Finite Griffith crack propagating in a non-homogeneous medium
    European Journal of Mechanics - A/Solids, vol. 25, no. 5, pp. 867–875, 2006
  11. Torsional Vibrations of Functionally Graded Finite Cylinders
    Meccanica, vol. 41, no. 4, pp. 459–470, 2006
  12. The Elementary Solution of Triple Integral Equations and The Solution of Triple Series Equations Involving Associated Legendre Polynomials and their Application
    Integral Equations and Operator Theory, vol. 51, no. 4, pp. 565–581, 2005
  13. Construction and analysis of meshless finite difference methods
    Computational Mechanics, vol. 37, no. 3, pp. 232–248, 2005
  14. The study of dual integral equations with generalized Legendre functions
    Journal of Mathematical Analysis and Applications, vol. 304, no. 2, pp. 725–733, 2005
  15. Dual series equations involving generalized Laguerre polynomials
    International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 7, pp. 1135–1139, 2005
  16. A practical approach for estimating the red edge position of plant leaf reflectance
    International Journal of Remote Sensing, vol. 26, no. 3, pp. 503–521, 2005
  17. Simulating the dynamics of auroral phenomena
    ACM Transactions on Graphics, vol. 24, no. 1, pp. 37–59, 2005
  18. The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 40, pp. 2123–2131, 2004
  19. The Reissner-Sagoci type problem for a non-homogeneous elastic cylinder embedded in an elastic non-homogeneous half-space
    IMA Journal of Applied Mathematics, vol. 69, no. 2, pp. 159–173, 2004
  20. Closed-form solutions for a rectangular layer with central crack under anti-plane shear stress
    IMA Journal of Applied Mathematics, vol. 70, no. 2, pp. 341–352, 2004
  21. Quadruple Trigonometrical Series Equations and Their Application to an Inclusion Problem in the Theory of Elasticity
    Studies in Applied Mathematics, vol. 112, no. 1, pp. 17–37, 2004
  22. Mixed Boundary Value Problem in a Non-homogeneous Medium Under Steady Distribution of Temperature
    Meccanica, vol. 39, no. 2, pp. 113–123, 2004
  23. On the expansion of a penny-shaped crack by a rigid circular disc inclusion in a thick plate
    ZAMM, vol. 84, no. 8, pp. 538–550, 2004
  24. Simulating the aurora
    The Journal of Visualization and Computer Animation, vol. 14, no. 1, pp. 43–59, 2003
  25. The breaking of a non-homogeneous fiber embedded in an infinite non-homogeneous medium
    Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP), vol. 54, no. 2, pp. 212–223, 2003
  26. Meccanica, vol. 38, no. 4, pp. 453–465, 2003
  27. Updating the topology of the dynamic Voronoi diagram for spheres in Euclidean d-dimensional space
    Computer Aided Geometric Design, 2003
  28. Contact problem for bonded nonhomogeneous materials under shear loading
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 29, pp. 1821–1832, 2003
  29. International Journal of Computational Geometry & Applications, vol. 13, no. 4, p. 279, 2003
  30. Journal of Mathematical Modelling and Algorithms, vol. 1, no. 4, pp. 243–255, 2002
  31. Approximation by fat arcs and fat biarcs
    Computer-Aided Design, vol. 34, no. 13, pp. 969–979, 2002
  32. The problem of a penny-shaped crack in a non-homogeneous medium under shear
    European Journal of Mechanics - A/Solids, vol. 21, no. 5, pp. 773–777, 2002
  33. The Elementary Solution of Triple Series Equations Involving Series of Legendre Polynomials and their Application to an Electrostatic Problem
    ZAMM, vol. 82, no. 7, pp. 497–503, 2002
  34. External Crack in Torsion in an Infinite Non-Homogeneous Medium with a Non-Homogeneous Cylindrical Inclusion
    ZAMM, vol. 81, no. 7, pp. 489–497, 2001
  35. Plastic Deformation at the Tip of an Edge Crack
    ZAMM, vol. 81, no. 9, pp. 642–647, 2001
  36. Virtual spectrophotometric measurements for biologically and physically based rendering
    The Visual Computer, vol. 17, no. 8, pp. 506–518, 2001
  37. Effects of inclusions in ductile cracks
    Zeitschrift für angewandte Mathematik und Physik, vol. 52, no. 4, pp. 680–695, 2001
  38. Examining the spectrum of radiative transfer systems
    International Communications in Heat and Mass Transfer, vol. 28, no. 4, pp. 519–525, 2001
  39. Applying the exponential Chebyshev inequality to the nondeterministic computation of form factors
    Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 69, no. 4, pp. 447–467, 2001
  40. Robustness in GIS algorithm implementation with application to line simplification
    International Journal of Geographical Information Science, vol. 15, no. 8, pp. 707–720, 2001
  41. International Journal of Computational Geometry & Applications, vol. 10, no. 2, p. 109, 2000
  42. Reliable Computing, vol. 6, no. 1, pp. 39–60, 2000
  43. Reliable line segment intersection testing
    Computer-Aided Design, vol. 32, no. 12, pp. 737–745, 2000
  44. How trivial are reliable box–plane intersections?
    Computer-Aided Design, vol. 32, no. 11, pp. 643–648, 2000
  45. Swap conditions for dynamic Voronoi diagrams for circles and line segments
    Computer Aided Geometric Design, vol. 16, no. 2, pp. 89–106, 1999
  46. Exact computation of the sign of a finite sum
    Applied Mathematics and Computation, vol. 99, no. 2-3, pp. 99–127, 1999
  47. Fitting parametric disk curves
    International Journal of Computer Mathematics, vol. 71, no. 2, pp. 173–182, 1999
  48. An integral linear interpolation approach to the design of incremental line algorithms
    Journal of Computational and Applied Mathematics, vol. 102, no. 1, pp. 3–19, 1999
  49. Run-length slice algorithms for thescan-conversion of ellipses
    Computers & Graphics, vol. 22, no. 4, pp. 463–477, 1998
  50. Inclusion isotonicity for circular centered forms in several complex variables
    Journal of the Franklin Institute, vol. 335, no. 6, pp. 1069–1076, 1998
  51. Disk Bézier curves
    Computer Aided Geometric Design, vol. 15, no. 7, pp. 721–737, 1998
  52. Fitting fat curves
    Mathematical and Computer Modelling, vol. 27, no. 6, pp. 1–12, 1998
  53. Developing a mathematical theory of computability which speaks the language of levels
    Mathematical and Computer Modelling, vol. 27, no. 6, pp. 23–32, 1998
  54. Test for intersection between box and tetrahedron
    International Journal of Computer Mathematics, vol. 65, no. 3, pp. 191–204, 1997
  55. Variable-radius offset curves and surfaces
    Mathematical and Computer Modelling, vol. 26, no. 7, pp. 97–108, 1997
  56. An Algorithmic Reflectance and Transmittance Model for Plant Tissue
    Computer Graphics Forum, vol. 16, no. 3, pp. C141–C150, 1997
  57. A circular splitting search algorithm for systems of complex equations
    Journal of Computational and Applied Mathematics, vol. 75, no. 1, pp. 119–129, 1996
  58. Interval approximation of higher order to the ranges of functions
    Computers & Mathematics with Applications, vol. 31, no. 7, pp. 101–109, 1996
  59. Bi-directional incremental linear interpolation
    Computers & Graphics, vol. 20, no. 2, pp. 295–305, 1996
  60. An efficient algorithm for construction of the power diagram from the voronoi diagram in the plane
    International Journal of Computer Mathematics, vol. 61, no. 1, pp. 49–61, 1996
  61. Smoothing of piecewise linear splines and the application to piecewise linear fat splines
    Computer-Aided Design, vol. 28, no. 6-7, pp. 439–449, 1996
  62. Formulas for the width of interval products
    Reliable Computing, vol. 1, no. 1, pp. 9–14, 1995
  63. Methods for bounding the range of a polynomial
    Journal of Computational and Applied Mathematics, vol. 58, no. 2, pp. 193–199, 1995
  64. An interval iteration for multiple roots of transcendental equations
    BIT Numerical Mathematics, vol. 35, no. 4, pp. 561–571, 1995
  65. SMALL-TIME GREEN'S FUNCTION IN TEMPERATURE RATE-DEPENDENT THERMOELASTICITY
    Journal of Thermal Stresses, vol. 18, no. 1, pp. 13–24, 1995
  66. Hybrid scan-conversion of circles
    IEEE Transactions on Visualization and Computer Graphics, vol. 1, no. 4, pp. 311–318, 1995
  67. Homogeneous coordinates
    The Visual Computer, vol. 11, no. 1, pp. 15–26, 1994
  68. Box-sphere intersection tests
    Computer-Aided Design, vol. 26, no. 7, pp. 579–584, 1994
  69. Test for intersection between plane and box
    Computer-Aided Design, vol. 25, no. 4, pp. 249–250, 1993
  70. A family of centered forms for rational functions
    Computers & Mathematics with Applications, vol. 25, no. 4, pp. 87–93, 1993
  71. Cylindrical interface crack between nonhomogeneous elastic materials under axially symmetric longitudinal shear
    Engineering Fracture Mechanics, vol. 46, no. 2, pp. 291–296, 1993
  72. Penny-shaped interface crack between dissimilar nonhomogeneous elastic layers under axially symmetric torsion
    Acta Mechanica, vol. 99, no. 1-4, pp. 201–211, 1993
  73. Experiments using interval analysis for solving a circuit design problem
    Journal of Global Optimization, vol. 3, no. 4, pp. 501–518, 1993
  74. Test for intersection between circle and rectangle
    Applied Mathematics Letters, vol. 6, no. 4, pp. 21–23, 1993
  75. Circular centered forms for rational functions in several complex variables
    Journal of Computational and Applied Mathematics, vol. 41, no. 3, pp. 347–357, 1992
  76. The convex hull of a set of convex polygons
    International Journal of Computer Mathematics, vol. 42, no. 3, pp. 163–172, 1992
  77. A family of centered forms for a polynomial
    BIT, vol. 32, no. 1, pp. 167–176, 1992
  78. Stress intensity factor for the cylindrical interface crack between nonhomogeneous coaxial finite elastic cylinders
    Engineering Fracture Mechanics, vol. 43, no. 6, pp. 1039–1051, 1992
  79. The transistor modeling problem again
    Microelectronics and Reliability, vol. 32, no. 12, pp. 1725–1740, 1992
  80. A moving Griffith crack at the interface of two dissimilar elastic layers
    Engineering Fracture Mechanics, vol. 43, no. 6, pp. 923–930, 1992
  81. A characteristic polynomial
    Applied Mathematics Letters, vol. 5, no. 2, pp. 79–81, 1992
  82. Convergence of Newton-like methods for nonlinear systems
    Journal of the Franklin Institute, vol. 329, no. 4, pp. 743–750, 1992
  83. Double-step incremental linear interpolation
    ACM Transactions on Graphics, vol. 11, no. 2, pp. 183–192, 1992
  84. Interval tools for global optimization
    Computers & Mathematics with Applications, vol. 21, no. 6-7, pp. 41–50, 1991
  85. Coplanar cracks at the interface of bonded dissimilar orthotropic elastic half-planes
    Engineering Fracture Mechanics, vol. 40, no. 1, pp. 177–186, 1991
  86. An efficient algorithm for subdividing linear Coons surfaces
    Computer Aided Geometric Design, vol. 8, no. 4, pp. 291–303, 1991
  87. GENERALIZED MAGNETOTHERMO ELASTIC WAVES IN AN INFINITE ELASTIC SOLID WITH A CYLINDRICAL CAVITY
    Journal of Thermal Stresses, vol. 14, no. 4, pp. 353–369, 1991
  88. HALF-SPACE PROBLEM IN ONE-DIMENSIONAL GENERALIZED MAGNETOTHERMOELASTICITY
    Journal of Thermal Stresses, vol. 14, no. 1, pp. 65–84, 1991
  89. Fast line scan-conversion
    ACM Transactions on Graphics, vol. 9, no. 4, pp. 376–388, 1990
  90. ONE-DIMENSIONAL THERMAL SHOCK PROBLEM WITH TWO RELAXATION TIMES
    Journal of Thermal Stresses, vol. 12, no. 2, pp. 259–279, 1989
  91. On properties of discretized convex curves
    IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, no. 2, pp. 217–223, 1989
  92. Double-step generation of ellipses
    IEEE Computer Graphics and Applications, vol. 9, no. 3, pp. 56–69, 1989
  93. Quadruple-step line generation
    Computers & Graphics, vol. 13, no. 4, pp. 461–469, 1989
  94. Forms for meromorphic functions
    Acta Applicandae Mathematicae, vol. 16, no. 3, pp. 261–280, 1989
  95. The number of centered forms for a polynomial
    BIT, vol. 28, no. 4, pp. 852–866, 1988
  96. Low complexity k-dimensional Taylor forms
    Applied Mathematics and Computation, vol. 27, no. 3, pp. 265–280, 1988
  97. ONE-DIMENSIONAL GENERALIZED THERMOELASTIC PROBLEM FOR A HALF SPACE
    Journal of Thermal Stresses, vol. 11, no. 3, pp. 257–271, 1988
  98. Efficiency of a Global Optimization Algorithm
    SIAM Journal on Numerical Analysis, vol. 24, no. 5, p. 1191, 1987
  99. Rational circular complex centered forms
    Journal of Computational and Applied Mathematics, vol. 17, no. 3, pp. 309–327, 1987
  100. Interval Taylor forms
    Computing, vol. 39, no. 3, pp. 247–259, 1987
  101. Inclusion isotonicity of circular complex centered forms
    BIT, vol. 27, no. 4, pp. 502–509, 1987
  102. Low complexity k-dimensional centered forms
    Computing, vol. 37, no. 3, pp. 247–253, 1986
  103. Torsion by an annular disc of a hemisphere embedded in an elastic half-space
    International Journal of Engineering Science, vol. 24, no. 1, pp. 79–85, 1986
  104. A simple method for computing the values of the derivatives of a rational function
    Journal of Computational and Applied Mathematics, vol. 14, no. 3, pp. 447–449, 1986
  105. A low complexity explicit rational centered form
    Computing, vol. 34, no. 3, pp. 261–263, 1985
  106. Including iterations for the lambda-matrix eigenproblem
    Computing, vol. 35, no. 2, pp. 207–218, 1985
  107. Diffraction of anti-plane shear waves by two moving griffith cracks
    Engineering Fracture Mechanics, vol. 20, no. 3, pp. 409–421, 1984
  108. Two finite length cracks moving between strips under plane extension
    Engineering Fracture Mechanics, vol. 19, no. 2, pp. 279–286, 1984
  109. Diffraction of torsional waves by a penny-shaped crack in an infinitely long cylinder bonded to an infinite medium
    Engineering Fracture Mechanics, vol. 19, no. 1, pp. 35–40, 1984
  110. A note on the circular complex centered form
    Computing, vol. 30, no. 3, pp. 201–211, 1983
  111. Diffraction of torsional wave by a circular rigid disc at the interface of two bonded dissimilar elastic solids
    Acta Mechanica, vol. 49, no. 1-2, pp. 139–146, 1983
  112. Optimal computation of the Bernstein algorithm for the bound of an interval polynomial
    Computing, vol. 28, no. 3, pp. 239–246, 1982
  113. The circular complex centered form
    Computing, vol. 28, no. 1, pp. 17–30, 1982
  114. Optimality of the centered form for polynomials
    Journal of Approximation Theory, vol. 32, no. 2, pp. 151–159, 1981
  115. A contact problem for a nonhomogeneous half-space
    International Journal of Engineering Science, vol. 19, no. 3, pp. 427–433, 1981
  116. The centered form for interval polynomials
    Computing, vol. 27, no. 4, pp. 339–348, 1981
  117. On the Evaluation of Rational Functions in Interval Arithmetic
    SIAM Journal on Numerical Analysis, vol. 18, no. 5, p. 862, 1981
  118. THERMAL STRESSES IN THE VICINITY OF AN EXTERNAL CRACK IN AN INFINITE ELASTIC SOLID BONDED TO A CYLINDRICAL INCLUSION
    Journal of Thermal Stresses, vol. 3, no. 1, pp. 85–116, 1980
  119. About the Centered Form
    SIAM Journal on Numerical Analysis, vol. 17, no. 3, p. 333, 1980
  120. Thermal stresses near a penny-shaped crack in an elastic sphere embedded in an infinite elastic space
    International Journal of Engineering Science, vol. 18, no. 5, pp. 681–701, 1980
  121. Axisymmetric contact and crack problems for an initially stressed neo-Hookean elastic layer
    International Journal of Engineering Science, vol. 18, no. 1, pp. 169–179, 1980
  122. Diffraction of antiplane shear waves by a griffith crack or a rigid strip lying at the interface of homogeneous and nonhomogeneous elastic half-spaces
    Acta Mechanica, vol. 37, no. 1-2, pp. 137–144, 1980
  123. A note on the Bernstein algorithm for bounds for interval polynomials
    Computing, vol. 21, no. 2, pp. 159–170, 1979
  124. The range of values of a complex polynomial over a complex interval
    Computing, vol. 22, no. 2, pp. 153–169, 1979
  125. An axisymmetric external crack problem for an infinite medium with a cylindrical inclusion
    Journal of Engineering Mathematics, vol. 13, no. 3, pp. 235–247, 1979
  126. The range of values of a circular complex polynomial over a circular complex interval
    Computing, vol. 23, no. 2, pp. 139–169, 1979
  127. Penny-shaped crack in an infinite elastic cylinder bonded to an infinite elastic material surrounding it
    International Journal of Engineering Science, vol. 17, no. 12, pp. 1245–1255, 1979
  128. Penny-shaped crack in a sphere embedded in an infinite medium
    International Journal of Engineering Science, vol. 17, no. 3, pp. 259–269, 1979
  129. Calculation of Extremum Problems for Univalent Functions
    SIAM Journal on Mathematical Analysis, vol. 10, no. 4, p. 850, 1979
  130. THERMAL STRESSES IN A LONG ELASTIC CYLINDER CONTAINING A PENNY-SHAPED CRACK AND EMBEDDED IN A THERMALLY CONDUCTIVE ELASTIC INFINITE MEDIUM
    Journal of Thermal Stresses, vol. 2, no. 3, pp. 449–473, 1979
  131. Calculation of Some Extremal Conformal Mappings
    SIAM Journal on Mathematical Analysis, vol. 9, no. 1, p. 87, 1978
  132. Polynomial least square interval approximation
    Computing, vol. 20, no. 2, pp. 165–176, 1978
  133. Bounds for an interval polynomial
    Computing, vol. 18, no. 3, pp. 225–240, 1977
  134. Solutions of Nonlinear Operator Equations
    SIAM Journal on Mathematical Analysis, vol. 8, no. 3, p. 448, 1977
  135. Errorbounds for simple zeros of ?-matrices
    Computing, vol. 16, no. 1-2, pp. 17–27, 1976
  136. Reducing the degree of an interval polynomial
    Computing, vol. 14, no. 1-2, pp. 5–14, 1975
  137. An Explicit Calculation of Some Sets of Minimal Capacity
    SIAM Journal on Mathematical Analysis, vol. 6, no. 2, p. 242, 1975
  138. Automatic errorbounds for simple zeros of analytic functions
    Communications of the ACM, vol. 16, no. 2, pp. 101–104, 1973
  139. Complements and Comments
    The American Mathematical Monthly, vol. 80, no. 10, p. 1116, 1973
  140. Explicit calculation of the Lagrangian interval interpolating polynomial
    Computing, vol. 9, no. 2, pp. 149–157, 1972
  141. Fehlererfassung bei Eigenwertproblemen von Matrizen
    Computing, vol. 7, no. 3-4, pp. 145–152, 1971
  142. Newton's method under mild differentiability conditions with error analysis
    Numerische Mathematik, vol. 18, no. 5, pp. 401–412, 1971