UW Department
of Applied Mathematics


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Carl E. Pearson

PUBLICATIONS: Books:
Theoretical Elasticity. Cambridge: Harvard University Press, 1959.
Functions of a Complex Variable, Theory and Technique. (with G.F. Carrier and M. Krook), New York: McGraw-Hill, 1966.
Ordinary Differential Equations. (with G.F. Carrier), New York: Blaisdell Publishing Company, 229 pp., 1968. SIAM reprint (revised) to appear, 1991.
Editor, Handbook of Applied Mathematics. New York: Van Nostrand-Reinhold, 1265 pp., 1974. Second Edition, 1307 pp., 1983.
Numerical Methods in Engineering and Science, Van Nostrand-Reinhold, 214 pp., 1986.
Partial Differential Equations (with G.F. Carrier) New York: Academic Press, 320 pp., 1973. Second Edition, 1988.
Papers:
Corrections in Hot-wire Correlation Measurements. Quarterly of Applied Mathematics. 12: 235. 1954.
Compressor Surge and Stall Propagation." (with H.W. Emmons and H.P. Grant) Trans. ASME. 77: 455. 1955.
General Theory of Elastic Stability. Quarterly of Applied Mathematics. 14: 133. 1956.
On Variational Principles and Galerkin's Procedure for Nonlinear Elasticity. (with B. Budiansky) Quarterly of Applied Mathematics. 14: 328. 1956.
Notes on the Decomposition of Stress and Strain Tensors. (with B. Budiansky) Quarterly of Applied Mathematics. 14: 327. 1956.
On the Finite Strip Problem. Quarterly of Applied Mathematics. 15: 203. 1957.
Integral Representation for Solutions of Bessel's Difference Equation. Journal of Mathematics and Physics. 39: 287. 1960.
A Computational Technique for Three-Dimensional Pin-Jointed Structures. Proceedings of the Second Conference on Electronic Computation of the American Society of Civil Engineers. 1961
A Digital Computer Program for the General Axially Symmetric Thin-Shell Problem. (with W.K. Sepetoski, I.W. Dingwell, and A.W. Adkins) Journal of Applied Mechanics, Trans. ASME, Series E. 29: 655. 1962.
A Computational Method for Viscous Flow Problems. Journal of Fluid Mechanics. 21: 611. 1965.
On the Time-Dependent Flow Between Two Rotating Disks. Journal of Fluid Mechanics. 21: 623. 1965.
Impulsive End Condition for Diffusion-Type Equations. Mathematics of Computation. 19: 570. 1965.
Note on the Second Derivative of a P.R. Function. SIAM Review. 7: 251. 1965.
On the Viscous Flow Between Concentric Spheres. Journal of Fluid Mechanics. 28: 323. 1967.
On a Differential Equation of Boundary Layer Type. Journal of Mathematics and Physics. XLVII: 134. 1968.
On Nonlinear Differential Equations of Boundary Layer Type. Journal of Mathematics and Physics. 47: 351. 1968.
A Numerical Method for Incompressible Viscous Flow Problems in a Spherical Geometry. pp. 65-78 in Studies in Numerical Analysis I. Society for Industrial and Applied Mathematics. 1969.
Asymptotic Behavior of Solutions to the Finite Difference Wave Equation. Mathematics of Computation. 23: 711. 1969.
Partial Differential Equations of Higher Order. Chapter 9 in Handbook of Applied Mathematics. Van Nostrand-Reinhold. 1974. Revised and extended for Second Edition. 1983.
Computation of Tidal Flow in Well-Mixed Estuaries. Journal of the Hydraulics Division, ASCE, 102: 367. March 1976.
Note on Kelvin Wave Reflection in a Channel with an Arbitrary End Wall. Journal of Geophysical and Astrophysical Fluid Dynamics. 8: 303. 1977.
On the Calculation of Tidal Currents in Homogeneous Estuaries. (with D. Winter). Journal of Physical Oceanography. 7: 520. 1977.
Two-Layer Analysis of Steady Circulation in Stratified Fjords. (with D. Winter) Article in Hydrodynamics of Estuaries and Fjords (J.J. Nihoul, ed.). p. 495, Elsevier, Amsterdam. 1978.
Far-field Matching in Tidal Calculations, Publication No. WSG 79-1, Washington Sea Grant Program, 1979.
A Numerical Method for Shallow Water Motion onto a Beach. Computational Methods in Applied Mechanics (ed. T.J. Oden), North-Holland. 1980.
Dual Time Scales in Wave Problem Governed by Coupled Nonlinear Equations. SIAM Review. 23: 425. 1981.
Use of Streamline Coordinates in the Numerical Solution of Compressible Flow Problems. J. Computational Physics. 42: 257. 1981.
Optimal Mapping from a Sphere onto a Plane. SIAM Review. 24: 469. 1982.
On Tidal Motion in a Stratified Inlet, with Particular Reference to Boundary Conditions. J. Phys. Oceanog. 14: 1307. 1984.
Extension of a Numerical Streamline Method. Comm. Appl. Num. Meth. 1: 177. 1985.
Numerical Solution of a Class of Steady-State Euler Equations (with D.R. Owen) AIAA preprint 88-0625, 26th AIAA Aerospace Sciences Meeting. 1988.
On a Modified Streamline Curvature Method for the Euler Equations, Comm. Appl. Num. Meth. 4: 327. 1988.
Upwind and Downwind Effects of Numerical Approximations to Wave Equations, Comm. Appl. Num. Meth., 4: 517. 1988.
Numerical Methods Applicable to Laser Refraction through a Caustic (with W. Christiansen) to appear, 1990.


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