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Showing 1 to 20 of 197 for “"Jacobi"”.
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Discrete Harmonic Analysis Associated with Jacobi Expansions
… with the three-term recurrence relation for the Jacobi polynomials and we study some classical operators in Harmonic Analysis in this context. Particularly, we are interested in the heat and Poisson semigroups and in the maximal operators related to them, in the Riesz transforms, and in the …
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Applications of Poincaré series on Jacobi groups
… von Poincaréreihen zur Verallgemeinerten Jacobigruppe. Im ersten Teil schätze ich Fourierkoeffizienten Siegelscher Spitzenformen ab. Zunächst betrachte ich den Fall Siegelscher Spitzenformen kleiner Gewichte zur vollen Siegelschen Modulgruppe, Index g; anschließend untersuche ich eine …
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High thrust optimization through Hamilton-Jacobi theory.
Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Thesis. 1966. M.S.
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Rodrigues Formula for Jacobi Polynomials on the Unit Circle
… subset of the complex plane. Then we focus on Jacobi polynomials and give a formula (analogous to the one discovered by R. D. Costin) for finding Jacobi polynomials on the unit circle. Finally, we consider some examples of Jacobi polynomials and demonstrate different methods of discovering them.
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Stochastic Homogenization of Nonconvex Hamilton-Jacobi Equations in One Dimension
Hamilton-Jacobi equations are a class of partial differential equations that arise in many areas of science and engineering. Originating from classical mechanics, they are widely used in various fields such as optimal control theory, quantitative finance, and game theory. Stochastic homogenization …
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Lagrangian Points and Jacobi Constants for a Class of Asteroids
… a spacecraft orbiting as an asteroid. Further, Jacobi analysis is carried out to determine zero-velocity regions, i.e., inaccessible regions corresponding to the unstable Lagrangian points. Multiple sphere modeling was studied through analysis of so called Asteroid Restricted Three and Four Body …
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Jost Functions for Jacobi Operators with Super-exponentially Decaying Parameters
The decay of the parameters for a Jacobi operator is related to the analyticity of the Jost function associated with J, which is in turn related to the spectral measure of J. Damanik and Simon demonstrated the equivalence between the exponential decay of these parameters and the analyticity of the …
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Mathematical Aspects of Field Theory: Nahm's Equations and Jacobi Forms
… to construct solutions via a linear flow in the Jacobian of the spectral curve associated to the Lax pair. We construct a frame of sections of this linear flow, which allows us to obtain exact solutions to Nahm's equations for arbitrary rank n. Nahm's equations with our boundary conditions …
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Congruences in modular, Jacobi, Siegel, and mock modular forms with applications
… Ramanujan congruences in the coefficients of Jacobi forms and Siegel modular forms of degree two. Finally, the last chapter contains a completely unrelated result about harmonic weak Maass forms.
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Existence of expansive solutions and Hamilton-Jacobi equations for the N-body problem
L'abstract è presente nell'allegato / the abstract is in the attachment
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A factorization approach for solving the Hamilton-Jacobi equations in nonlinear optimal control
The Hamilton-Jacobi equation (HJE) arose early in the last century in the study of the calculus of variation, classical mechanics and Hamiltonian systems. Recently, there has been a renewed interest in HJEs arising in various analysis and synthesis problems in systems theory. The HJE despite …
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Computation of nodes and weights of Gaussian Quadrature rule by using Jacobi method
… these the QR algorithm, Cholesky iteration and Jacobi rotational methods are commonly used. In this project we checked rate the of convergence and accuracy of the Cholesky-iterative method and the Jacobi's method for finding eigenvalues and eigen vectors and found that the Jacobi's method …
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Hamilton-Jacobi-Bellman equation for stochastic optimal control: Applications to spacecraft attitude control
… is derived through formulation of the Hamilton-Jacobi-Bellman equation associated with a stochastic differential equation. The solution to the Hamilton-Jacobi-Bellman partial differential equation is approximated through the method of Al’brekht [1]. Extension of Albrekht method for a stochastic …
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Differential algebraic methods for obtaining approximate numerical solutions to the Hamilton-Jacobi equation
… methods for approximately solving the Hamilton- Jacobi (HJ) equation. I use the “automatic differentiation” property of DA to convert the nonlinear partial-differential HJ equation into a initial-value problem for a DA-valued first-order ordinary differential equation (ODE), the “HJ/DA equation”. …
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Applied left-definite theory : the Jacobi polynomials, their Sobolev orthogonality, and self-adjoint operators.
… well known that, for –α, –β, –α – β – 1 ∉ ℕ, the Jacobi polynomials {Pn(α,β)(x)} ∞ n=0 are orthogonal on ℝ with respect to a bilinear form of the type(f,g)μ = ∫ℝfgdμ, for some measure μ. However, for negative integer parameters α and β, an application of Favard's theorem shows that the Jacobi …
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Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra
… sowohl des klassischen als auch des Sortier-Jacobi-Verfahrens für das symmetrische Eigenwertproblem behandelt. Der koordinatenfreie Zugang ermöglicht durch eine neue Betrachtungsweise die Vereinheitlichung strukturierter Eigen- und Singulärwertprobleme, darunter bis dato noch nicht …
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The Threat of Nihilism and the Prospect of Non-Nihilistic Metaphysics in Jacobi and Hegel
… a careful reconstruction of Friedrich Henrich Jacobi's philosophical commitments around the problem of <em>nihilism, </em>a threat he first pronounced in 1799 That is, I sketch out what Jacobi's non-nihilistic metaphysics, might be by reading his scatter-shot work through the unifying lens of …
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A WENO finite difference scheme for a new class of Hamilton-Jacobi equations in electroelastostatics
"Hamilton-Jacobi equations have repeatedly emerged in many fields of physics, most notably, optimal control, differential games, geometric optics, and image processing. This thesis presents a new numerical method to solve a new class of Hamilton-Jacobi equation that has recently appeared in the …
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