About the Project

computation of solutions

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11: Ronald F. Boisvert
His research interests include numerical solution of partial differential equations, mathematical software, and information services that support computational science. …
12: Barry I. Schneider
… …  1940 in Brooklyn, New York) is a staff member of the NIST Applied and Computational Mathematics Division. … Schneider’s current research interests span a broad number of areas of theoretical chemistry, atomic and molecular physics, numerical methods and high performance computing. …He is an Editor in Chief for Computers in Science and Engineering and a Specialist Editor for Computer Physics Communications. Recently he has served as Co-Chair of the US government Fast Track Action Committee to update the US strategic computing plan.
13: Bernard Deconinck
He has worked on integrable systems, algorithms for computations with Riemann surfaces, Bose-Einstein condensates, and methods to investigate the stability of solutions of nonlinear wave equations. …
14: Bibliography Z
  • J. M. Zhang, X. C. Li, and C. K. Qu (1996) Error bounds for asymptotic solutions of second-order linear difference equations. J. Comput. Appl. Math. 71 (2), pp. 191–212.
  • 15: Bibliography T
  • J. F. Traub (1964) Iterative Methods for the Solution of Equations. Prentice-Hall Series in Automatic Computation, Prentice-Hall Inc., Englewood Cliffs, N.J..
  • S. A. Tumarkin (1959) Asymptotic solution of a linear nonhomogeneous second order differential equation with a transition point and its application to the computations of toroidal shells and propeller blades. J. Appl. Math. Mech. 23, pp. 1549–1565.
  • 16: Bibliography
  • J. C. Adams and P. N. Swarztrauber (1997) SPHEREPACK 2.0: A Model Development Facility. NCAR Technical Note Technical Report TN-436-STR, National Center for Atmospheric Research.
  • 17: 29.19 Physical Applications
    Ward (1987) computes finite-gap potentials associated with the periodic Korteweg–de Vries equation. Shail (1978) treats applications to solutions of elliptic crack and punch problems. Hargrave (1978) studies high frequency solutions of the delta wing equation. …
    18: Bibliography O
  • S. Olver (2011) Numerical solution of Riemann-Hilbert problems: Painlevé II. Found. Comput. Math. 11 (2), pp. 153–179.
  • 19: Bonita V. Saunders
    … … Bonita V. Saunders, born in Portsmouth, Virginia, is a member of the Applied and Computational Mathematics Division of the Information Technology Laboratory at the National Institute of Standards and Technology. … in computational and applied mathematics from Old Dominion University, Norfolk, Virginia. Her research interests include numerical grid generation, numerical solution of partial differential equations, and visualization of special functions. … As the principal developer of graphics for the DLMF, she has collaborated with other NIST mathematicians, computer scientists, and student interns to produce informative graphs and dynamic interactive visualizations of elementary and higher mathematical functions over both simply and multiply connected domains. …
    20: Bibliography C
  • P. A. Clarkson (2005) Special polynomials associated with rational solutions of the fifth Painlevé equation. J. Comput. Appl. Math. 178 (1-2), pp. 111–129.