Search
Now showing items 21-30 of 67
Finite Element Analysis of Interior and Boundary Control Problems
(2018-06-18)
The primary goal of this thesis is to study finite element based a priori and a posteriori error estimates of optimal control problems of various kinds governed by linear elliptic PDEs (partial differential equations) of ...
The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains
(2018-06-13)
The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows:
Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find ...
Stabilization Schemes for Convection Dominated Scalar Problems with Different Time Discretizations in Time dependent Domains
(2018-05-21)
Problems governed by partial differential equations (PDEs) in deformable domains, t Rd; d = 2; 3; are of fundamental importance in science and engineering. They are of particular relevance in the design of many engineering ...
Study of Higher Order Split-Step Methods for Stiff Stochastic Differential Equations
(2018-04-06)
Stochastic differential equations(SDEs) play an important role in many branches of engineering and science including economics, finance, chemistry, biology, mechanics etc. SDEs (with m-dimensional Wiener process) arising ...
Normal Spectrum of a Subnormal Operator
(2018-03-21)
Let H be a separable Hilbert space over the complex field. The class
S := {N|M : N is normal on H and M is an invariant subspace for Ng of subnormal operators. This notion was introduced by Halmos. The minimal normal ...
Dilation Theory of Contractions and Nevanlinna-Pick Interpolation Problem
In this article, we give two different proofs of the existence of the minimal isometric dilation of a single contraction. Then using the existence of a unitary dilation of a contraction, we prove the `von Neumann's ...
Homogeneous Operators and Some Irreducible Representations of the Mobius Group
In this report, after recalling the definition of the M¨obius group, we define homogeneous operators,
that is, operators T with the property '(T) is unitarily equivalent to T for all ' in the M¨obius group and prove some ...
Dynamic Flow Rules in Continuum Visco-plasticity and Damage Models for Poly-crystalline Solids
Modelling highly non-linear, strongly temperature- and rate-dependent visco-plastic behaviour of poly-crystalline solids (e.g., metals and metallic alloys) is one of the most challenging topics of contemporary research ...
Analytic Models, Dilations, Wandering Subspaces and Inner Functions
This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main ...