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Novel Bellman Estimates for Ap WeightsSweeting, Brandon S. 05 October 2021 (has links)
No description available.
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Exploration of Cancellation Strategies for Parallel Simulation on Multi-Core Beowulf ClustersSaxena, Sanchit January 2012 (has links)
No description available.
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Threaded WARPED : An Optimistic Parallel Discrete Event Simulator for Cluster of Multi-Core MachinesMuthalagu, Karthikeyan January 2012 (has links)
No description available.
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Generalized partial differential equations for interactive designUgail, Hassan January 2007 (has links)
This paper presents a method for interactive design by means of extending the PDE
based approach for surface generation. The governing partial differential equation is
generalized to arbitrary order allowing complex shapes to be designed as single patch
PDE surfaces. Using this technique a designer has the flexibility of creating and manipulating
the geometry of shape that satisfying an arbitrary set of boundary conditions.
Both the boundary conditions which are defined as curves in 3-space and the spine of the
corresponding PDE are utilized as interactive design tools for creating and manipulating
geometry intuitively. In order to facilitate interactive design in real time, a compact
analytic solution for the chosen arbitrary order PDE is formulated. This solution scheme
even in the case of general boundary conditions satisfies exactly the boundary conditions
where the resulting surface has an closed form representation allowing real time
shape manipulation. In order to enable users to appreciate the powerful shape design
and manipulation capability of the method, we present a set of practical examples.
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Interactive design using higher order PDE'sKubeisa, S., Ugail, Hassan, Wilson, M.J. January 2004 (has links)
Yes / This paper extends the PDE method of surface generation. The governing partial differential equation is generalised to sixth order to increase its flexibility. The PDE is solved analytically, even in the case of general boundary conditions, making the method fast. The boundary conditions, which control the surface shape, are specified interactively, allowing intuitive manipulation of generic shapes. A compact user interface is presented which makes use of direct manipulation and other techniques for 3D interaction.
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Experiments with Hardware-based Transactional Memory in Parallel SimulationHay, Joshua A. 13 October 2014 (has links)
No description available.
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Profile Driven Partitioning Of Parallel Simulation ModelsAlt, Aaron J. 10 October 2014 (has links)
No description available.
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SHAPE OPTIMIZATION OF ELLIPTIC PDE PROBLEMS ON COMPLEX DOMAINSNiakhai, Katsiaryna January 2013 (has links)
<p>This investigation is motivated by the problem of optimal design of cooling elements in modern battery systems. We consider a simple model of two-dimensional steady state heat conduction described by elliptic partial differential equations (PDEs) and involving a one dimensional cooling element represented by an open contour. The problem consists in finding an optimal shape of the cooling element which will ensure that the solution in a given region is close (in the least square sense) to some prescribed target distribution. We formulate this problem as PDE-constrained optimization and the locally optimal contour shapes are found using the conjugate gradient algorithm in which the Sobolev shape gradients are obtained using methods of the shape-differential calculus combined with adjoint analysis. The main novelty of this work is an accurate and efficient approach to the evaluation of the shape gradients based on a boundary integral formulation. A number of computational aspects of the proposed approach is discussed and optimization results obtained in several test problems are presented.</p> / Master of Science (MSc)
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Nonlinear waves on metric graphsKairzhan, Adilbek January 2020 (has links)
We study the nonlinear Schrödinger (NLS) equation on star graphs with the Neumann-
Kirchhoff (NK) boundary conditions at the vertex. We analyze the stability of standing
wave solutions of the NLS equation by using different techniques.
We consider a half-soliton state of the NLS equation, and by using normal forms,
we prove it is nonlinearly unstable due to small perturbations that grow slowly in time.
Moreover, under certain constraints on parameters of the generalized NK conditions, we
show the existence of a family of shifted states, which are parametrized by a translational
parameter. We obtain the spectral stability/instability result for shifted states by using
the Sturm theory for counting the Morse indices of the shifted states. For the spectrally
stable shifted states, we show that the momentum of the NLS equation is not conserved
which results in the irreversible drift of the family of shifted states towards the vertex of
the star graph. As a result, the spectrally stable shifted states are nonlinearly unstable.
We also study the NLS equation on star graphs with a delta-interaction at the vertex.
The presence of the interaction modifies the NK boundary conditions by adding an
extra parameter. Depending on the value of the parameter, the NLS equation admits
symmetric and asymmetric standing waves with either monotonic or non-monotonic
structure on each edge. By using the Sturm theory approach, we prove the orbital
instability of the standing waves. / Thesis / Doctor of Philosophy (PhD)
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Reconstruction of 3D human facial images using partial differential equations.Elyan, Eyad, Ugail, Hassan January 2007 (has links)
One of the challenging problems in geometric
modeling and computer graphics is the construction of
realistic human facial geometry. Such geometry are
essential for a wide range of applications, such as 3D face
recognition, virtual reality applications, facial expression
simulation and computer based plastic surgery application.
This paper addresses a method for the construction of 3D
geometry of human faces based on the use of Elliptic Partial
Differential Equations (PDE). Here the geometry
corresponding to a human face is treated as a set of surface
patches, whereby each surface patch is represented using
four boundary curves in the 3-space that formulate the
appropriate boundary conditions for the chosen PDE. These
boundary curves are extracted automatically using 3D data
of human faces obtained using a 3D scanner. The solution of
the PDE generates a continuous single surface patch
describing the geometry of the original scanned data. In this
study, through a number of experimental verifications we
have shown the efficiency of the PDE based method for 3D
facial surface reconstruction using scan data. In addition to
this, we also show that our approach provides an efficient
way of facial representation using a small set of parameters
that could be utilized for efficient facial data storage and
verification purposes.
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