Numerik und Modellierung nichtlinearer partieller Differentialgleichungen zur Beschreibung von Kredit- und Preisrisiken

• Antragsteller: Professor Dr. Ansgar Jüngel
• Fachliche Zuordnung: Accounting und Finance
• Förderung: Förderung von 2003 bis 2010
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 5470460

• Erstellungsjahr: 2010

Keine Zusammenfassung vorhanden

Projektbezogene Publikationen (Auswahl)

• „Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation"; Mathematical Modelling & Numerical Analysis, 38 (2004), 2; S. 359-369
  Düring, Bertram; Fournié, Michel & Jüngel, Ansgar
  
• „Existence and uniqueness of solutions to a quasilinear parabolic equation with quadratic gradients in financial markets"; Nonlinear Analysis TMA, 62 (2005); S. 519-544
  Düring, Bertram & Jüngel, Ansgar
  
• „Option prices under generalized pricing kernels"; Review of Derivatives Research, 8 (2005), 2; S. 97-123
  Düring, Bertram & Lüders, Erik
  
• „A nonlinear fourth-order parabolic equation a.nd related logarithmic Sobolev inequalities"; Communications in Mathematical Sciences, 4 (2006), S. 275-290
  Dolbeault, Jean; Gentil, Ivan & Jüngel, Ansgar
  
• „A nonlinear fourth-order parabolic equation with non-homogeneous boundary conditions"; SIAM Journal of Mathematical Analysis, 37 (2006), S. 1761-1779
  Pia Gualdani, Maria; Jüngel, Ansgar & Toscani, Giuseppe
  
• „An algorithmic construction of entropies in higher-order nonlinear PDEs"; Nonlinearity, 19 (2006), S. 633-659
  Jüngel, Ansgar & Matthes, Daniel
  
• „Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations"; Discrete and Contineous Dynamical Systems B; 6 (2006), S. 1027-1050
  J. A. Carrillo, J. Dolbeault, L Gentil, A. Jüngel
  
• „Hydrodynamics from kinetic models of conservative economies"; Physica A: Statistical Mechanics and its Applications, 384 (2007), 2; S. 493 - 506
  Düring, B. & Toscani, G.
  
• „A Boltzmann-type approach to the formation of wealth distribution curves"; Rivista di Matematica Università di Parma (Ser. 8), 1 (2009), S. 199-261
  Düring, Bertram; Matthes, Daniel & Toscani, Giuseppe
  
• „Convergence of an entropic semidiscretization for nonlinear Fokker-Planck equations in Rda; Publicacions Matematiques, 52 (2008), S. 413-433
  J. A. Carrillo, M. P. Gualdani, and A. Jüngel
  
• „International and domestic trading and wealth distribution"; Communications in Mathematical Sciences, 6 (2008), 4; S. 1043 - 1058
  During, B. & Toscani, G.
  
• „Kinetic equations modelling wealth redistribution: a comparison of approaches"; Physical Review E, 78 (2008), 5; S. 056103-1 - 056103-12
  Düring, Bertram; Matthes, Daniel & Toscani, Giuseppe
  
• „Sequential Quadratic Programming Method for Volatility Estimation in Option Pricing"; Journal of Optimization Theory and Applications, 139 (2008), 3; S. 515-540
  Düring, B.; Jüngel, A. & Volkwein, S.
  
• „Asset pricing under information with stochastic volatility"; Review of Derivatives Research, 12 (2009), 2; S. 141 - 107
  Düring, Bertram
  
• „Boltzmann and Fokker- Planck equations triodelling opinion formation in the presence of strong leaders"; Proceedings of the Royal Soci(?ty London A - Mathematical, Physical and Engineering Sciences. 465 (2009), 2112; S. 3687-3708
  Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik & Wolfram, Marie-Therese