Electronic Journal of Differential Equations, Vol), No. 157, pp. 1–41. ISSN: URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu STABILITY OF PEAK SOLUTIONS OF

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Computational complexity of solving polynomial differential equations over unbounded domains Daniel S. Gra¸ca†, ‡ Amaury Pouly?, †

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Stochastic Differential Equations Lecture notes for courses given at Humboldt University Berlin and University of Heidelberg Markus Reiß

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• Statistical randomness
• Stochastic processes
• Stochastic calculus
• Martingale theory
• Stochastic differential equations
• Lvy processes
• Wiener process
• FeynmanKac formula
• Infinitesimal generator
• Semimartingale
• Brownian motion
• Stratonovich integral

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• Mathematical analysis
• Mathematics
• Partial differential equations
• Integrable system
• Dirac delta function
• Invariant

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• Operator theory
• Partial differential equations
• Complex analysis
• Sobolev spaces
• Fourier analysis
• Differential forms on a Riemann surface
• GoodmanNguyenvan Fraassen algebra

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• Physics
• Differential equations
• Functions of space and time
• Differential geometry
• Mathematical analysis
• Differential topology
• Jet bundle

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• Linear algebra
• Matrix theory
• Spectral theory
• Lie algebras
• Representation theory of Lie groups
• Jordan normal form
• Eigenvalues and eigenvectors
• Weight
• Spectrum
• Spectral theory of ordinary differential equations

Effective Computability of Solutions of Ordinary Differential Equations The Thousand Monkeys Approach Pieter Collins Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands Daniel S. Gra¸ca

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NUMERICAL APPROXIMATION OF MULTIDIMENSIONAL PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS ARISING IN FINANCIAL MATHEMATICS F. F. GONC ¸ ALVES AND M. R. GROSSINHO Abstract. A large number of financial option pricing models gi

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EFFICIENT SYMBOLIC RESOLUTION OF SYSTEMS OF LINEAR DIFFERENTIAL AND DIFFERENCE EQUATIONS Field: Computer algebra Institution: INRIA - Saclay-ÎDF Place: Palaiseau (France)

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