Papers in applied mathematics

<p dir="ltr">Works submitted by Alex McNabb to Victoria University of Wellington for a Doctor of Science degree.</p><ol><li>McNabb, A., & Taylor, W. B. (1953). Some theory relating to the diffusion of chemicals in green timber. <i>New Zealand Journal of Science and Technology. B. General Section, 35,</i> 113-126.</li><li>McNabb, A. & Taylor, W. B. (1955). A note on some theory relating to the diffusion of chemicals in green timber. <i>New Zealand Journal of Science and Technology. B. General Section, 36,</i> 533-536.</li><li>McNabb, A. (1960). A treatment of one-dimensional soil consolidation. <i>Quarterly of Applied Mathematics, 17</i>(4), 431-440. <a href="https://doi.org/10.1090/qam/113405" rel="noreferrer" target="_blank">https://doi.org/10.1090/qam/113405</a></li><li>McNabb, A. (1961). Strong comparison theorems for elliptic equations of second order. Journal of Mathematics and Mechanics, 10(3), 431-440. <a href="https://www.jstor.org/stable/24900731" rel="noreferrer" target="_blank">https://www.jstor.org/stable/24900731</a> </li><li>McNabb, A. (1961). Comparison and existence theorems for multicomponent diffusion systems.<i> Journal of Mathematical Analysis and Applications, 3</i>(1), 133-144. <a href="https://doi.org/10.1016/0022-247X(61)90012-9" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-247X(61)90012-9</a></li><li>McNabb, A. (1962). Notes on criteria for the stability of steady state solutions of parabolic equations. <i>Journal of Mathematical Analysis and Applications, 4</i>(2), 193-201. <a href="https://doi.org/10.1016/0022-247X(62)90049-5" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-247X(62)90049-5</a> </li><li>McNabb, A. (1967). Partial Steiner symmetrization and some conduction problems.<i> Journal of Mathematical Analysis and Applications, 17</i>(2), 221-227. <a href="https://doi.org/10.1016/0022-247X(67)90147-3" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-247X(67)90147-3</a> </li><li>McNabb, A. (1962). A note on the boundedness of solutions of linear parabolic equations. <i>Proceedings of the American Mathematical Society, 13</i>(2), 262-265. <a href="https://doi.org/10.1090/S0002-9939-1962-0136867-0" rel="noreferrer" target="_blank">https://doi.org/10.1090/S0002-9939-1962-0136867-0</a> </li><li>McNabb, A. (1962). On the flux of diffusing matter through boundaries. <i>Proceedings of the American Mathematical Society, 13</i>(1), 170-174. <a href="https://doi.org/10.2307/2033798" rel="noreferrer" target="_blank">https://doi.org/10.2307/2033798</a> </li><li>McNabb, A. (1965). On convection in a porous medium. <i>Proceedings of the Second Australasian Conference on Hydraulics and Fluid Mechanics, University of Auckland,</i> C161-171. </li><li>McNabb, A. & Grant, M. A. (1967). <i>The discharge of a long slender bore. New Zealand Journal of Science, 10</i>(1), 115-123. </li><li>McNabb, A. & Foster, P. K. (1963). A new analysis of the diffusion of hydrogen in iron and ferritic steels. <i>Transactions of the Metallurgical Society of AIME, 227,</i> 618-627. </li><li>McNabb, A., Foster, P. K., & Payne, C. M. (1965). On the rate of loss of hydrogen from cylinders of iron and steel. <i>Transactions of the Metallurgical Society of AIME, 233,</i> 1022-1031. </li><li>McNabb, A. & Duncan, M. E. (1967). Firing deformation of ceramic bodies. <i>The American Ceramic Society Bulletin, 4</i>6(5), 514-520. </li><li>Buell, J., Kagiwada, H., Kalaba, R. E., McNabb, A., & Schumitzky, A. (1968). Computation of the resolvent for the auxiliary equation of radiative transfer. <i>Journal of Quantitative Spectroscopy and Radiative Transfer, 8, </i>1481-1489. <a href="https://doi.org/10.1016/0022-4073(68)90086-1" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-4073(68)90086-1</a> </li><li>Kaplan, S., McNabb, A., Trujillo, D.,& Siemsen, J. K. (1969). The inverse problem of radioisotope diagnosis: A computational method for determining the location and size of tumors. <i>Mathematical Biosciences, 5,</i> 39-55. <a href="https://doi.org/10.1016/0025-5564(69)90034-0" rel="noreferrer" target="_blank">https://doi.org/10.1016/0025-5564(69)90034-0</a> </li><li>McNabb, A., & Wolf, M. B. (1968). Time-dependent behavior for a countercurrent dialyzer. <i>Mathematical Biosciences, 3</i>(3/4), 295-306. <a href="https://doi.org/10.1016/0025-5564(68)90038-2" rel="noreferrer" target="_blank">https://doi.org/10.1016/0025-5564(68)90038-2</a></li><li>McNabb, A., & Schumitzky, A. (1972). Factorization of operators - I: Algebraic theory and examples. <i>Journal of Functional Analysis, 9</i>(3), 262-295. <a href="https://doi.org/10.1016/0022-1236(72)90002-X" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-1236(72)90002-X</a></li><li>McNabb, A., & Schumitzky, A. (1970). Factorization of operators - II: A nonlinear Volterra method for numerical solution of linear Fredholm equations. Journal of Computer System Sciences, 4(2), 103-128. <a href="https://doi.org/10.1016/S0022-0000(70)80003-4" rel="noreferrer" target="_blank">https://doi.org/10.1016/S0022-0000(70)80003-4</a></li><li>McNabb, A., & Schumitzky, A. (1970). Factorization of operators - III: Initial value methods for linear two-point boundary value problems. <i>Journal of Mathematical Analysis and Applications, 31</i>(2), 391-405. <a href="https://doi.org/10.1016/0022-247X(70)90033-8" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-247X(70)90033-8</a></li><li>McNabb, A. (1972). An initial value method for linear boundary value problems. <i>Journal of Mathematical Analysis and Applications 39</i>(2), 495-526. <a href="https://doi.org/10.1016/0022-247X(72)90219-3" rel="noreferrer" target="_blank">https://doi.org/10.1016/0022-247X(72)90219-3</a></li></ol><p dir="ltr">Due to copyright restrictions we cannot provide digital copies of these works.</p>