Affiliation |
Department of Mathematical Sciences (IMF), the DNA group.
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Research
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Partial Differential Equations (PDEs), Fractional Differential Equations (FDEs)
Bellman, Isaacs, and Black-Scholes equations, scalar conservation laws, convection diffusion and porous medium equations... local, non-local, fractional versions
Theory of PDEs and FDEs
Existence, uniqueness, continuous dependence, regularity, approximation...
Viscosity/Entropy/Weak/Distributional solutions
Numerical Methods, Convergence, and Error Estimates
Finite difference, Semi-Lagrangian, Galerkin, and Spectral methods ...
Stochastic Processes, Stochastic Control Theory, Mathematical Finance
Approximation of stochastic differential equations, representation formulas, reflected jump processes ...
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CV
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CV for Espen R. Jakobsen.
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Projects
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Waves and Nonlinear Phenomena, NFR Toppforsk project 250070, 2016-2021.
Discrete Models in Mathematical Analysis, NFR project 213638, 2012-2016.
Integro-PDEs: Numerical
methods, Analysis, and Applications to Finance, NFR project 176877, 2006-2010.
Viscosity methods, Hamilton-Jacobi-Bellman equations, and applications to finance, NFR project 151608, 2002-2005.
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Publications
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View the
complete list
- or try
Google scholar, MathSciNet,
Zentralblatt MATH, Scopus, ISI.
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Prizes |
The Esso Prize at NTNU (2001), and the Carl-Erik Fröberg Prize (2006).
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Teaching
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MA8109 Stochastic Processes and Differential Equations
TMA4195 Mathematical Modeling
Previously:
- MA8105 Nonlinear Partial Differential Equations and
Sobolev Spaces (spring) 2017
- MA8109 Stochastic processes in systems theory (Stochastic
Differential Equations)
(fall): 2013.
- TMA4165 Differential Equations and Dynamical Systems (spring): 2011, 2012, 2013.
- TMA4195 Mathematical Modeling (fall): 2010, 2011, 2012, 2013, 2014, 2016.
- MA2105 Kompleks funksjonsteori med differensiallikninger (fall): 2008.
- TMA4305 Partielle differensiallikninger: spring 2008, spring 2009.
- MA8001 Mathematical Seminar for PhD-students (Viscosity Solution Theory): spring 2007.
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TMA4105 Matematikk 2 (spring): 2006, 2007.
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TMA4120 Matematikk 4K (fall): 2005, 2006, 2007, 2008 x 2, 2014.
- MAT 232 Functional
Analysis (University of
Bergen): spring 2004.
- SIF5009 Mathematics
3 (NTNU): spring 2002, fall 2002.
- Intensive course in high school calculus (University of Agder):
summer 1994.
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For Students
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Master-, diplom- og fordypningsprosjektoppgaver.
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