Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Angewandte Mathematik - Numerische Analysis

People
Research
Publications
Teaching


Fichera Theory and Finite Difference Methods for Degenerate Parabolic Equations


Masterarbeit Mathematik



Supervision


Description

In this thesis we discuss ...

Keywords

Fichera theory, term-structure equation, degenerate parabolic equation, boundary conditions, Fichera function, Feller condition

References:

  1. D. Brigo, F. Mercurio, Interest Rate Models - Theory and Practice, Springer Verlag, Berlin, 2001.
  2. J.C. Cox, J.E. Ingersoll Jr, S.A. Ross, An intertemporal general equilibrium model of asset prices, Econometrica 53 (1985), 363-384.
  3. D.J. Duffy, Finite Difference Methods in Financial Engineering, Wiley, Chichester, 2006.
  4. D.J. Duffy, Unconditionally Stable and Second-Order Accurate Explicit Finite Difference Schemes Using Domain Transformation: Part I One-Factor Equity Problems, (2009), SSRN.
  5. E. Ekström, P. Lötstedt, J. Tysk, Boundary values and finite difference methods for the single factor term structure equation, Appl. Math. Finance 16 (2009), 252-259.
  6. Y. d'Halluin, P.A. Forsyth, K.R. Vetzal, G. Labahn, A numerical PDE approach for pricing callable bonds, Appl. Math. Finance 8 (2001), 49-77.
  7. S. Heston, M. Loewenstein, G. Willard, Options and bubbles, Rev. Financ. Stud. 20 (2007), 359-390.
  8. P. Lötstedt, J. Persson, L. von Sydow, J. Tysk, Space-time adaptive finite difference method for European multi-asset options, Comp. Math. Appl. 53 (2007), 1159-1180.
  9. O.A. Oleinik, E.V. Radkevic, Second order equations with nonnegative characteristic form, Plenum Press, New York-London, 1973.
  10. G. Pealat, D.J. Duffy, The Alternating Direction Explicit (ADE) Method for One-Factor Problems, Wilmott Magazine (2011), .


University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics
Applied Mathematics & Numerical Analysis Group

Last modified:   Disclaimer   ehrhardt@math.uni-wuppertal.de