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Steepest Sescent on a Uniformly Convex Space

Description: This paper contains four main ideas. First, it shows global existence for the steepest descent in the uniformly convex setting. Secondly, it shows existence of critical points for convex functions defined on uniformly convex spaces. Thirdly, it shows an isomorphism between the dual space of H^{1,p}[0,1] and the space H^{1,q}[0,1] where p > 2 and {1/p} + {1/q} = 1. Fourthly, it shows how the Beurling-Denny theorem can be extended to find a useful function from H^{1,p}[0,1] to L_{p}[1,0] where p … more
Date: August 1995
Creator: Zahran, Mohamad M.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Condition-dependent Hilbert Spaces for Steepest Descent and Application to the Tricomi Equation

Description: A steepest descent method is constructed for the general setting of a linear differential equation paired with uniqueness-inducing conditions which might yield a generally overdetermined system. The method differs from traditional steepest descent methods by considering the conditions when defining the corresponding Sobolev space. The descent method converges to the unique solution to the differential equation so that change in condition values is minimal. The system has a solution if and only … more
Date: August 2014
Creator: Montgomery, Jason W.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Wind-Tunnel Investigation of the Descent Characteristics of Bodies of Revolution Simulating Anti-Personnel Bombs

Description: "An investigation has been conducted in the Langley 20-foot free spinning tunnel to study the relative behavior in descent of a number of homogeneous balsa bodies of revolution simulating anti-personnel bombs with a small cylindrical exploding device suspended approximately 10 feet below the bomb. The bodies of revolution included hemispherical, near-hemispherical, and near-paraboloid shapes. The ordinates of one near-paraboloid shape were specified by the Office of the Chief of Ordnance, U. S.… more
Date: December 19, 1951
Creator: Scher, Stanley H.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Flow induced by a rotor in power-on vertical descent

Description: From Summary: "Approximate equations are derived for the induced power required and blade loading of a lifting rotor operating in the power-on vertical-descent range. The approximate relations, which are based upon certain assumptions as to the nature of the flow pattern, yield, for the induced power variation, results which are in general agreement with the available experiment data."
Date: July 1958
Creator: Castles, Walter, Jr.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Steepest Descent for Partial Differential Equations of Mixed Type

Description: The method of steepest descent is used to solve partial differential equations of mixed type. In the main hypothesis for this paper, H, L, and S are Hilbert spaces, T: H -> L and B: H -> S are functions with locally Lipshitz Fréchet derivatives where T represents a differential equation and B represents a boundary condition. Define ∅(u) = 1/2 II T(u) II^2. Steepest descent is applied to the functional ∅. A new smoothing technique is developed and applied to Tricomi type equations (which are of … more
Date: August 1992
Creator: Kim, Keehwan
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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A Decomposition of the Group Algebra of a Hyperoctahedral Group

Description: The descent algebra of a Coxeter group is a subalgebra of the group algebra with interesting representation theoretic properties. For instance, the natural map from the descent algebra of the symmetric group to the character ring is a surjective algebra homomorphism, so the descent algebra implicitly encodes information about the representations of the symmetric group. However, this property does not hold for other Coxeter groups. Moreover, a complete set of primitive idempotents in the descent… more
Date: December 2016
Creator: Tomlin, Drew E
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Using Steepest Descent to Find Energy-Minimizing Maps Satisfying Nonlinear Constraints

Description: The method of steepest descent is applied to a nonlinearly constrained optimization problem which arises in the study of liquid crystals. Let Ω denote the region bounded by two coaxial cylinders of height 1 with the outer cylinder having radius 1 and the inner having radius ρ. The problem is to find a mapping, u, from Ω into R^3 which agrees with a given function v on the surfaces of the cylinders and minimizes the energy function over the set of functions in the Sobolev space H^(1,2)(Ω; R^3) h… more
Date: August 1994
Creator: Garza, Javier, 1965-
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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The Flight Test Aspects of the Air-Launched Balloon System (ALBS) Development Program

Description: Abstract: The Air Launched Balloon System (ALBS) development history is traced and the circumstances leading up to planned ALBS flight tests are described, including a report on successful tests of the cryogenic storage subsystem. The theoretical performance of a candidate parachute development system--35-ft (10. 67 m) diameter ring sail drogue, 64-ft (19.51 m) diameter flat circular main chute--is mathematically analyzed using a number of stated assumptions. Contingency arrangements (e.g., use… more
Date: August 30, 1976
Creator: Carten, Andrew S., Jr.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

Nonlinear Boundary Conditions in Sobolev Spaces

Description: The method of dual steepest descent is used to solve ordinary differential equations with nonlinear boundary conditions. A general boundary condition is B(u) = 0 where where B is a continuous functional on the nth order Sobolev space Hn[0.1J. If F:HnCO,l] —• L2[0,1] represents a 2 differential equation, define *(u) = 1/2 IIF < u) li and £(u) = 1/2 l!B(u)ll2. Steepest descent is applied to the functional 2 £ a * + £. Two special cases are considered. If f:lR —• R is C^(2), a Type I boundary con… more
Date: December 1984
Creator: Richardson, Walter Brown
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Joint Optimization of Computation, Communication and Caching in D2D-Assisted Caching-Enhanced MEC System

Description: Article discusses how, in the era of intelligent applications, Mobile Edge Computing (MEC) is emerging as a promising technology that provides abundant resources for mobile devices. The authors of the article introduce a novel Device-to-Device (D2D)-assisted system to address this challenge.
Date: July 27, 2023
Creator: Ge, Jiaqi; Xu, Gaochao; Zhang, Yang; Lu, Jianchao; Chen, Haihua & Meng, Xiangyu
Item Type: Refine your search to only Article
Partner: UNT College of Information
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A Numerical Method for Solving Singular Differential Equations Utilizing Steepest Descent in Weighted Sobolev Spaces

Description: We develop a numerical method for solving singular differential equations and demonstrate the method on a variety of singular problems including first order ordinary differential equations, second order ordinary differential equations which have variational principles, and one partial differential equation.
Date: August 1995
Creator: Mahavier, William Ted
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Estimating Thermal Conductivity and Volumetric Specific Heat of a Functionally Graded Material using Photothermal Radiometry

Description: Functionally graded materials (FGMs) are inhomogeneous materials in which the material properties vary with respect to space. Research has been done by scientific community in developing techniques like photothermal radiometry (PTR) to measure the thermal conductivity and volumetric heat capacity of FGMs. One of the problems involved in the technique is to solve the inverse problem, i.e., estimating the thermal properties after the frequency scan has been obtained. The present work involves fin… more
Date: December 2017
Creator: Koppanooru, Sampat Kumar Reddy
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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