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Now showing items 11-20 of 47
Pricing of Basket Options
(2013-05-27)
NA
Minimum Principle of Pontryagin
(2011-12-15)
This Project is at the interface between Optimization, Functional analysis and Differential equation. It concerns one of the powerful methods often used to solve optimization problems with constraints; namely Minimum ...
An Algorithm for Solutions of Hammerstein Integral Equations with Monotone Operators
(2016-06-07)
Let X be a uniformly convex and uniformly smooth real Banach space with dual space X ∗ . Let F : X → X ∗ and K : X ∗ → X be bounded monotone mappings such that the Hammerstein equation u + KF u = 0 has a solution in X. An ...
Evolution Equations and Applications
(2011-12-17)
This project concerns Evolution Equations in Banach spaces and lies at the interface between Functional Analysis, Dynamical Systems, Modeling Theory and Natural Sciences. Evolution Equations include Partial Differential ...
Monotone Operators and Applications
(2011-12)
This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role
in many branches of Mathematics such as Convex Analysis, Optimization Theory, ...
Why Classical Finite difference Approximations fail for a singularly perturbed System of Convection-Diffusion Equations
(2016-06-07)
We consider classical Finite Difference Scheme for a system of singularly perturbed convection-diffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...
Maximal Monotone Operators on Hilbert Spaces and Applications
(2016-05)
Let H be a real Hilbert space and A : D(A) ⊂ H → H be an unbounded, linear, self-adjoint, and maximal monotone operator. The aim of this thesis is to solve u 0 (t) + Au(t) = 0, when A is linear but not bounded. The classical ...
Why Classical Finite difference Approximations fail for a singularly perturbed System of Convection-Diffusion Equations
(2016-06-07)
We consider classical Finite Difference Scheme for a system of singularly perturbed convection-diffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...