{"id":123,"date":"2017-03-05T21:34:23","date_gmt":"2017-03-06T02:34:23","guid":{"rendered":"https:\/\/fs.wp.odu.edu\/jadam\/?page_id=123"},"modified":"2026-07-15T11:36:11","modified_gmt":"2026-07-15T15:36:11","slug":"publications","status":"publish","type":"page","link":"https:\/\/fs.wp.odu.edu\/jadam\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n
    \n
  1. “Viscous damping of nonlinear magnetoacoustic waves” (1975), Astrophysics and Space Science 36, 479-487.<\/em><\/li>\n\n\n\n
  2. “Steady magnetogravity flow” (1975)<\/em>, Quarterly Journal of Mechanics and Applied Mathematics 28, 397-103.<\/em><\/li>\n\n\n\n
  3. “Alfven wave reflection at a density transition region” (1976)<\/em>, Journal of Physics A: Mathematical and General 9, L193-L194.<\/em><\/li>\n\n\n\n
  4. “Maximum growth rates of magnetoatmospheric instabilities” (1977)<\/em>, Astrophysics and Space Science 47, L5-L7.<\/em><\/li>\n\n\n\n
  5. “On the occurrence of critical levels in solar magnetohydrodynamics” (1977), Solar Physics 52, 293-307.<\/em><\/li>\n\n\n\n
  6. “Hydrodynamic instability of convectively unstable atmospheres in shear flow” (1977), Astrophysics and Space Science, 50, 493-514.<\/em><\/li>\n\n\n\n
  7. “Solar magnetoatmospheric waves -a simplified mathematical treatment”. (1977) Astronomy and Astrophysics 60, 171-179.<\/em><\/li>\n\n\n\n
  8. “Solutions of the inhomogeneous acoustic-gravity wave equation”. (1977), Journal of Physics A: Mathematical and General<\/em>, 10, L169-L173.<\/li>\n\n\n\n
  9. “Stability of aligned magnetoatmospheric flow” (1978), J. Plasma Phys<\/em>. 19, 77-86.<\/li>\n\n\n\n
  10. “Magnetohydrodynamic wave energy flux in a stratified compressible atmosphere with shear” (1978) Q.J. Mech. Appl. Math<\/em>. 31 77-98.<\/li>\n\n\n\n
  11. “Evolution in space and time of resonant wave triads I. the pump-wave approximation”. (With A.D.D. Craik) (1978) Proc. R. Soc. Lond<\/em>. . 363, 243-255.<\/li>\n\n\n\n
  12. “Explosive resonant wave interactions in a three-layer fluid flow”. (With A.D.D. Craik) (1979) J. Fluid Mech<\/em>. 92, 15-33.<\/li>\n\n\n\n
  13. “Maximum growth rate of magnetoatmospheric instabilities. II: Hilbert space approach”. (1980 J. Phys. A. Math. & Gen.<\/em> 13, 373-378.<\/li>\n\n\n\n
  14. “Some wave reflection problems in solar physics”. (1981) The Irish Astronomical Journal<\/em>, 14, 133-137.<\/li>\n\n\n\n
  15. “Eigenvalue bounds in magnetoatmospheric shear flow”. (1980) J. Phys. A. Math. & Gen<\/em>. 13, 3325-3338.<\/li>\n\n\n\n
  16. “Some thoughts on the nature of mathematical statements”. (1981) I.M.A. Bulletin<\/em>, 17, 21-25.<\/li>\n\n\n\n
  17. “Asymptotic solutions and spectral theory of linear wave equations”. (1982) Physics Reports <\/em>8 No. 5, 217-316.<\/li>\n\n\n\n
  18. “Mechanical wave energy flux in magnetoatmospheres: discrete and continuous spectra”. (1981) Astrophys. Sp. Sci.<\/em> 78, 293 347.Addendum to the above paper (#18): (1981) Astrophys. Sp. Sci<\/em> 78, 38-350.<\/li>\n\n\n\n
  19. “Note on sigma-stability in hydromagnetics”. (1982) Astrophys. Sp. Sci<\/em>. 82, 115-121.<\/li>\n\n\n\n
  20. “Complex eigenvalue bounds in magnetoatmospheric shear flow”. (1983) (with P.S. Cally), Geophys.Astrophys. Fluid Dyn.<\/em> 23, 57-67.<\/li>\n\n\n\n
  21. “Mathematical methods in linear hydrodynamic stability theory”. (1982) Int. J. Math. Ed. Sci.Tech <\/em>13, 405-422.<\/li>\n\n\n\n
  22. “On a class of atmospheres occurring in stellar hydrodynamic theory”. (1982) Z.A.M.P<\/em>. 33, 473-486.<\/li>\n\n\n\n
  23. “On photospheric and chromospheric penumbral waves”. (With P.S Cally) (1983) Sol. Phys<\/em>., 85, 97-111.<\/li>\n\n\n\n
  24. “Green’s functions, complex eigenvalues and the initial-value problem”. (1984) I.M.A. Bulletin<\/em>, 20, 171-176.<\/li>\n\n\n\n
  25. “Some mathematical aspects of wave motion”. (1984) Int. Jnl. Math. Ed Sci. Tech<\/em>., 15, 719-725.<\/li>\n\n\n\n
  26. “On complementary levels of description in applied mathematics” (1984) Int. Jnl. Math. Ed.Sci. Tech.<\/em>, 15, 672-673.<\/li>\n\n\n\n
  27. “The critical layers and other singular regions in ideal hydrodynamics and MHD”. (1984) Astrophys. Sp. Sci<\/em>., 105, 401-412.<\/li>\n\n\n\n
  28. “Magnetoatmospheric waves from a localized source”. (With J.H. Thomas). (1984) Astrophys. Sp. Sci<\/em>., 106, 125-150.<\/li>\n\n\n\n
  29. “On the spectrum of some singular equations in MHD”. (1985) Astrophys. Sp. Sci<\/em>., 114, 249-258.<\/li>\n\n\n\n
  30. “Critical layer singularities and complex eigenvalues in some differential equations of mathematical physics”. (1986) Physics Reports<\/em>, 142, 263-356.<\/li>\n\n\n\n
  31. “A simplified mathematical model of tumor growth”. (1986) Mathematical Biosciences<\/em>., 81, 229-244.<\/li>\n\n\n\n
  32. “Spectral theory and stability in astrophysics. I. Ideal MHD”. (1986) Astrophys. Sp. Sci<\/em>. 127, 163-178.<\/li>\n\n\n\n
  33. “Spectral theory and stability in astrophysics. II. Rotating stars”. (1986) Astrophys. Sp. Sci<\/em>., 127, 309-320.<\/li>\n\n\n\n
  34. “A linear scattering problem in magnetohydrodynamics: transmission resonances in a magnetic slab”. (1987) Astrophys. Sp. Sci<\/em>. 133 317-337<\/li>\n\n\n\n
  35. “A mathematical model of tumor growth: II. Effects of geometry and spatial non-uniformity on stability”. (1987) Math. Biosci.<\/em>, 86, 183-211.<\/li>\n\n\n\n
  36. “A mathematical model of tumor growth: III. Comparison with experiment”. (1987) Math.Biosci<\/em>., 86, 213-227.<\/li>\n\n\n\n
  37. On complementary levels or description in applied mathematics. II. Mathematical models in cancer biology”. 1988 Int. J. Math. Ed. Sci. Tech<\/em>., 19, 519-535.<\/li>\n\n\n\n
  38. “On Liouville’s equation and its occurrence in mathematical astrophysics”. (1988) Int. J.Math. Ed. Sci. Tech<\/em>., 19, 881-890.<\/li>\n\n\n\n
  39. “Complementary levels of description in applied mathematics. III. Equilibrium models of cities”. (1988) Math. Comput. Modelling<\/em>, 10, 321-339.<\/li>\n\n\n\n
  40. “Mathematical model of tumor growth by diffusion”. (1988) Proceedings of the 6th International Conference on Mathematical Modelling, St. Louis, 1987. Published in Math.Comput. Modelling<\/em>, 11, 455-456.<\/li>\n\n\n\n
  41. “Integral Invariants and Complex Eigenvalue Bounds”. Applied Math. Lett.<\/em> ( 1988) 1, 203-206.<\/li>\n\n\n\n
  42. “A nonlinear eigenvalue problem in astrophysical magnetohydrodynamics: some properties of the spectrum”. J. Math. Phys<\/em>. ( 1989) 30, 744-756.<\/li>\n\n\n\n
  43. “Some results on the spectrum of a magnetoatmospheric wave operator”. Applied Math. Lett. <\/em>(1989)2, 11-14.<\/li>\n\n\n\n
  44. “Note on a class of nonlinear time-independent diffusion equations”. (With S.A. Maggelakis), Applied Math. Lett<\/em>. (1989) 2, 141-145.<\/li>\n\n\n\n
  45. “A Mathematical Model of Tumor Growth. IV. Effects of a Necrotic Core” (With S.A. Maggelakis), Mathematical Biosci<\/em> . 97 (1989) 121-136.<\/li>\n\n\n\n
  46. “Note on a Diffusion Model of Tissue Growth”, (with S.A. Maggelakis), Applied Math. Lett.<\/em>3 (1990) 27-31.<\/li>\n\n\n\n
  47. “A Mathematical Model of Preascular Growth of a Spherical Carcinoma” (with S.A. Maggelakis), Math. Comput. Modelling<\/em> 1990 5 13, 2338.<\/li>\n\n\n\n
  48. “Diffusion Regulated Growth Characteristics of A Prevascular Carcinoma” (with S.A. Maggelakis), Bull. Math. Biology<\/em>. 1990, 52 549-582<\/li>\n\n\n\n
  49. “An Initial-Value Problem for Magnetoatmospheric Waves. I. Theory”. Wave Motion<\/em> 1990, 12 385-399.<\/li>\n\n\n\n
  50. “A Generalization of a Solvable Model in Population Dynamics”, (with G. DeRise), J. Phys.:Math. & Gen.<\/em> (1990), L727-L731.<\/li>\n\n\n\n
  51. “Diffusion Models of Prevascular and Vascular Tumor Growth: A Review”. Lecture Notes inPure and Applied Mathematics<\/em>, 1991, Vol.131, Chapter 41, p.625-642 (Marcel Dekker, Inc.).<\/li>\n\n\n\n
  52. “Self-Activation and Inhibition: Simple Nonlinear Model”. Appl. Math. Letters<\/em>, 4, 2 (1991), 85-87.<\/li>\n\n\n\n
  53. “Self-Activation and Inhibition: The Effect of a Zero-Flux Boundary”, Appl. Math. Letters<\/em>, 4, 3 (1991) 45-47.<\/li>\n\n\n\n
  54. “Activator-Inhibitor Control of Tissue Growth”. SIAM Review<\/em>, 33, (1991), 462-466<\/li>\n\n\n\n
  55. “Solution Uniqueness and Stability Criteria for a Model of Growth Factor Production”, Appl.Math. Letters<\/em>, 5 (1992) 89-92.<\/li>\n\n\n\n
  56. “The Dynamics of Growth Factor-Modified Immune Response to Cancer Growth: One-Dimensional Models“, Mathematical and Computer Modelling<\/em>, 17 (1993), 83-106.<\/li>\n\n\n\n
  57. “The Scattering Potential for a Polytrope of Degree n=5”. Appl. Math. Letters<\/em>, 6, #4 (1993) 9-1 1 .<\/li>\n\n\n\n
  58. “Scattering Parameters for an Epstein Profile in a Half-Space”, Appl. Math. Letters<\/em>, 6, #4, (1993), 13-15.<\/li>\n\n\n\n
  59. “Propagation of Magnetoacoustic-Gravity Waves in a Horizontally Stratified Medium: IV. Kinematics”. Astrophys. Sp. Sci<\/em>. 202 (1993), 259-271. (With I. McKaig).<\/li>\n\n\n\n
  60. “Equilibrium Model of a Vascularized Spherical Carcinoma with Central Necrosis: Some Properties of the Solution”. J. Math. Biol<\/em>. 31 (1993), 735-745. (With R. Noren).<\/li>\n\n\n\n
  61. “Non-Radial Stellar Oscillations from the Perspective of Potential Scattering Theory: Theoretical Aspects.” Astrophys. Sp. Sci<\/em>. 220 (1994), 179-233.<\/li>\n\n\n\n
  62. “Mathematical Model of Cycle-Specific Chemotherapy” (With Carl Panetta). Mathematicaland Computer Modelling <\/em>22 (1995), 67-82.<\/li>\n\n\n\n
  63. “A Simple Mathematical Model and Alternative Paradigm for Certain Chemotherapeutic Regimens.” (With Carl Panetta). Mathematical and Computer Modelling<\/em>, 22 (1995), 49-60.<\/li>\n\n\n\n
  64. “Educated Guesses”. Quantum <\/em>\u2013 A Journal of Mathematics and Science. Sept\/Oct. 1995.<\/li>\n\n\n\n
  65. “The Effects of Vascularization on Lymphocyte-Tumor Cell Dynamics: Qualitative Features”, Math. Comp. Modelling<\/em> 23 (1996), 1-10.<\/li>\n\n\n\n
  66. “General Aspects of Modeling Tumor Growth and Immune Response”, Chapter 2 in the book cited below(Adam & Bellomo, Eds.)<\/li>\n\n\n\n
  67. \u201cMathematical Models of Spheroid Growth and Catastrophe-Theoretic Description of Rapid Metastatic Growth\/Remission\u201d, Invasion & Metastasis<\/em>, 16 (1996), 247-267.<\/li>\n\n\n\n
  68. \u201cN-Space, Dimensional Interface Phenomena and an Adventure in Flatland\u201d, Hyperspace<\/em>, 5(1996), 10-23.<\/li>\n\n\n\n
  69. \u201cScattering from Stellar Acoustic-Gravity Potentials: II. Phase Shifts via the First Born Approximation\u201d, (with Iain McKaig), Appl. Math. Lett<\/em>., 10 (1997), 39-42.<\/li>\n\n\n\n
  70. \u201cLimiting Spheroid Size as a Function of Growth Factor Source Location\u201d, (with Kim Ward), Appl. Math. Lett.,<\/em> 10 (1997), 43-46.<\/li>\n\n\n\n
  71. \u201cPost-Surgical Passive Response of Local Environment to Primary Tumor Removal\u201d, (with Carryn Bellomo), Math. Comp. Modelling<\/em>, 25 (1997), 7-17.<\/li>\n\n\n\n
  72. \u201cThe Pekeris Waveguide: A Case Study in Classical Applied Mathematics\u201d, Math. Meth. Mod. App. Sci<\/em>., 8 (1998), 157-186.<\/li>\n\n\n\n
  73. \u201c (A Note on)2<\/sup> the Shape of the Erythrocyte\u201d, Math. Comp. Modeling<\/em>, 27 (1998), 73-77.<\/li>\n\n\n\n
  74. \u201cPost-Surgical Passive Response of Local Environment to Primary Tumor Removal. II. Heterogeneous Environment\u201d, (with Carryn Bellomo), Math. Meth. Mod. Appl. Sci<\/em>. 9 (1999), 617-626.<\/li>\n\n\n\n
  75. \u201cThe Mathematical Modeling of Cancer: A Review\u201d, (with Carl Panetta and Mark Chaplain), Conference Proceedings, 281-310, 1999,Vanderbilt University Press.<\/li>\n\n\n\n
  76. \u201cA Simplified Model of Wound Healing, with particular reference to the Critical Size Defect: One-dimensional model.\u201d Math. Comp. Mod<\/em>. 30 (1999), 23-32.<\/li>\n\n\n\n
  77. \u201cA Simplified Model of Wound Healing, with particular reference to the Critical Size Defect: Two-dimensional model.\u201d Math. Comp. Mod<\/em>. 30 (1999), 47-60. (with J.S. Arnold)<\/li>\n\n\n\n
  78. \u201cA mathematical model of wound healing in bone.\u201d In the Proceedings of the 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS \u201900), p.97-103, Las Vegas, June 2000.<\/li>\n\n\n\n
  79. \u201cNutrient concentration in and around a vascularized tumor with a necrotic core.\u201d (With Carryn Bellomo). In the Proceedings of the 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS \u201900), p.105-110, Las Vegas, June 2000.<\/li>\n\n\n\n
  80. \u201cThe Mathematical Physics of Rainbows and Glories\u201d. Physics Reports<\/em> 356 (Nos. 4-5) (2002), 229-366.<\/li>\n\n\n\n
  81. \u201cHealing times for circular wounds on plane and spherical bone surfaces\u201d. Applied Mathematics Letters<\/em>, 15 (2002), 55-58.<\/li>\n\n\n\n
  82. \u201cThe effect of surface curvature on wound healing in bone\u201d. Applied Mathematics Letters<\/em>, 15 (2002), 59-62.<\/li>\n\n\n\n
  83. \u201cThe effect of surface curvature on wound healing in bone: II. The critical size defect\u201d. Mathematical and Computer Modelling<\/em>, 35 (2002), 085-1094.<\/li>\n\n\n\n
  84. \u201cLike a bridge over colored water: a mathematical review of The Rainbow Bridge: Rainbows in Art, Myth and Science<\/a>\u201d by R. Lee and A. Fraser, Notices of the AMS<\/em>, Dec. 2002, 49 (No. 11), 1360-1371.<\/li>\n\n\n\n
  85. \u201cMathematical Models of Tumors and Their Remote Metastases\u201d; C. Bellomo, J.A. Adam.<\/em> In Computational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems: Algorithm Development, Mathematical Analysis and Diagnostics, published by Kluwer Press, 2002.<\/li>\n\n\n\n
  86. \u201cMathematical models of tumor growth: from empirical description to biologicalmechanism\u201d, in vol. 537 of Advances in Experimental Medicine and Biology, entitled Mathematical Modeling in Nutrition and the Health Sciences (Kluwer Academic\/Plenum Publishers, 2003).<\/li>\n\n\n\n
  87. \u201cInside mathematical modeling: building models in the context of wound healing in bone \u201c in Discrete and Continuous Dynamical Systems<\/em>, 4 (2004), 1-24.<\/li>\n\n\n\n
  88. “Flowers of Ice – Beauty, Symmetry, and Complexity: A Review of The Snowflake: Winter’s Secret Beauty<\/a>.” Notices of the AmericanMathematical Society, 52, #4, 402-416 (2005).<\/li>\n\n\n\n
  89. “A simplified model for growth factor induced healing of circular wounds<\/a>” Mathematical & Computer Modeling, 44(2006), 887-898. (Co-authors Fred VErmolen and Esther Van Baaren.)<\/li>\n\n\n\n
  90. “On Rainbows from Inhomogeneous Transparent Spheres: A Ray-Theoretic Approach<\/a>.\u201d (With Philip Laven), Applied Optics, 46 (2007), 922-929.<\/li>\n\n\n\n
  91. F.J. Vermolen, W.G. van Rossum, E. Javierre and J.A. Adam. Modeling of self-healing of skin tissue. In: Self-healing materials: an alternative approach to 20 centuries of materials science, Springer, Dordrecht, the Netherlands, 2007.<\/li>\n\n\n\n
  92. F.J. Vermolen and J.A. Adam. A finite element model for epidermal wound healing involving angiogenesis. Proceedings of the ICCS conference, Springer-Verlag, Beijing, China, 2007. Proceedings part I, Edited by Y. Shi, G.D. van Albada, J. Dongarra and P.M.A. Sloot, Springer-Verlag, Berlin-Heidelberg, 2007<\/li>\n\n\n\n
  93. F.J. Vermolen, W.G. van Rossum, E. Javierre and J.A. Adam. A numerical model for epidermal wound healing. Proceedings of the ECCOMAS conference on Coupled Problems, Ibiza, Spain, 2007.<\/li>\n\n\n\n
  94. \u201cRainbows, Geometrical Optics, and a Generalization of a result of Huygens<\/a>\u201d, Applied Optics, 47, H11 – H13.<\/li>\n\n\n\n
  95. \u201cA Two-Population Insurgency In Colombia: Quasi-Predator-Prey Models — A Trend Towards Simplicity\u201d (with John A. Sokolowski and Catherine M. Banks); Mathematical and Computer Modelling, 49 (2009),p. 1115\u20131126.\u201d<\/li>\n\n\n\n
  96. A review of Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving<\/a><\/em> by Sanjoy Manahan, MIT Press, Cambridge, MA., in The American Journal of Physics, 78 (2010), 1230-1232.<\/li>\n\n\n\n
  97. “Blood Vessel Branching: Going Beyond the Standard Calculus Problem”, Mathematics Magazine<\/a>, 84 (2011), 196 \u2013 207.<\/li>\n\n\n\n
  98. “Zero-order bows in radially inhomogeneous spheres: direct and inverse problems<\/a>.” Applied Optics, 50 (2011) F50 – F59.<\/li>\n\n\n\n
  99. “Putting the X in Biology: A Review of The Mathematics of Life by Ian Stewart<\/a>.” Notices of the American Mathematical Society, 58 (2011), 1572-1578.<\/li>\n\n\n\n
  100. A review of A Wealth of Numbers: An Anthology of 500 years of Popular Mathematics Writing<\/em>, edited by Benjamin Wardhaugh. American Journal of Physics (August 2012) volume 80(8), 745-746.<\/li>\n\n\n\n
  101. ‘Rainbows’ in homogeneous and radially inhomogeneous spheres: connections with ray, wave and potential scattering theory. Mathematical & Statistical Research with Applications to Physical & Life Sciences, Engineering & Technology. Springer Proceedings in Mathematics and Statistics, vol. 37, 2013, Ed. Bourama Toni.<\/li>\n\n\n\n
  102. “Electromagnetic and Potential Scattering from a Radially Inhomogeneous Sphere” 2013; co-author: Umaporn Nuntaplook, http:\/\/arxiv.org\/abs\/1307.1647<\/a><\/li>\n\n\n\n
  103. “Sc<\/a>attering of electromagnetic plane waves in radially inhomogeneous media: ray theory, exact solutions and connections with potential scattering theory\u201d, Chapter 3 in Volume 9 of Light Scattering Reviews, Editor, Alexander Kokhanovsky. Springer, 2014.<\/li>\n\n\n\n
  104. “Scalar wave scattering by two-layer radial inhomogeneities\u201d (with U. Nuntaplook) Applied Mathematics E-Notes, 14<\/strong> (2014), 185-192.<\/li>\n\n\n\n
  105. “Scattering of a Plane Electromagnetic Wave by a Generalized Luneburg Sphere. Part 1: Ray Scattering\u201d (with James Lock and Philip Laven). Journal of Quantitative Spectroscopy and Radiative Transfer, 162<\/strong> (2015), 154-163.<\/li>\n\n\n\n
  106. \u201cScattering of a Plane Electromagnetic Wave by a Generalized Luneburg Sphere. Part 2: Wave Scattering and Time-Domain Scattering\u201d (with James Lock and Philip Laven). Journal of Quantitative Spectroscopy and Radiative Transfer, 162<\/strong> (2015), 164-174.<\/li>\n\n\n\n
  107. \u201cRay- and wave-theoretic problems in radially inhomogeneous media\u201d (with M. Pohrivchak & U. Nuntaplook): invited chapter for Volume 11 of Light Scattering Reviews, Editor, Alexander Kokhanovsky. Springer, 2016, 339 \u2013 361.<\/li>\n\n\n\n
  108. \u201cScattering of Plane Electromagnetic Waves by Radially Inhomogeneous Spheres: Asymptotics and Special Functions\u201d (with M. Pohrivchak & U. Nuntaplook): invited chapter for Mathematical & Statistical Research with Applications to Physical & Life Sciences, Engineering & Technology<\/em>, Springer Proceedings in Mathematics and Statistics, vol. 39, 2016, Ed. Bourama Toni, (Chapter 17, p. 383 \u2013 417).<\/li>\n\n\n\n
  109. \u201cEvaluation of Ray-Path Integrals in Geometrical Optics\u201d, International Journal of Applied and Experimental Mathematics, 1<\/strong>, 108 (2016) (7 pages, With M. Pohrivchak).<\/li>\n\n\n\n
  110. \u201cMountain Shadows Revisited\u201d. Applied Optics 56<\/strong>(19), (2017) G26 \u2013 G35<\/li>\n\n\n\n
  111. \u201cAn Example of Nature\u2019s Mathematics: The Rainbow.\u201d The Virginia Mathematics Teacher, 44<\/strong>(1), 12-19 (Fall 2017 issue).<\/li>\n\n\n\n
  112. “Shape Resonances of the Transverse Magnetic Mode in a Spherically Stratified Medium.\u201d (With U. Nuntaplook), International journal of Applied Physics and Mathematics, 8<\/strong>(3), (2018), 18 \u2013 30.Review of \u201cThe Beauty of Numbers in Nature\u201d by Ian Stewart. SIAM Review 60<\/strong>(4), (2018), 1016 \u2013 1020<\/li>\n\n\n\n
  113. \u201cDimensional Analysis: Physical Insight Gained Through Algebra\u201d Virginia Mathematics Teacher, 45<\/strong>(1), 17 \u2013 21, (Fall 2018 issue)<\/li>\n\n\n\n
  114. \u201cThe asymptotic solution of the ion-damped acoustic-gravity wave equation\u201d, Zeitschrift fur Angewandte Mathematik und Physik ZAMP\u00a070<\/strong>(4), 40001-17 (2019).<\/li>\n\n\n\n
  115. “The asymptotic solution of the ion-dampened acoustic-gravity wave equation” Zeitschrift fur Angewandte Mathematik und Physik ZAMP 70(118)<\/strong>, (2019).<\/li>\n\n\n\n
  116. \u201cEvery equation tells a story \u2013 waves on water.\u201d Under review for the Virginia Mathematics Teacher.<\/li>\n\n\n\n
  117. \u201cLinear Difference Equations: Algebra in Action.\u201d (with Z. Li) Under review for the Virginia Mathematics Teacher.<\/li>\n\n\n\n
  118. \u201cSo, What\u2019s Your Sphericity Index? \u2013 Rationalizing Surface Area and Volume.\u201d Under review for the Virginia Mathematics Teacher, 46<\/strong> (2), 48 \u2013 53 (2020).<\/li>\n\n\n\n
  119. \u201cEvery equation tells a story \u2013 waves on water.\u201d Virginia Mathematics Teacher 47<\/strong>(1), 40 \u2013 46 (2021).<\/li>\n\n\n\n
  120. \u201cModeling Climate Change.\u201d (In a new section of the Virginia Mathematics Teacher \u2013 I am the section editor), 47(2), 25 \u2013 34.<\/li>\n\n\n\n
  121. \u201cMorphology-Dependent Resonances in Two Concentric Spheres with Variable Refractive Index in the Outer Layer: Analytic Solutions.\u201d (With U. Nuntaplook). Appl. Mech. 2021, 2<\/strong>, 781\u2013796.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":915,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages\/123"}],"collection":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/users\/915"}],"replies":[{"embeddable":true,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/comments?post=123"}],"version-history":[{"count":5,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages\/123\/revisions"}],"predecessor-version":[{"id":532,"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/pages\/123\/revisions\/532"}],"wp:attachment":[{"href":"https:\/\/fs.wp.odu.edu\/jadam\/wp-json\/wp\/v2\/media?parent=123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}