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Showing 1 to 20 of 20 for “"recurrence relations"”.
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Application of Lie Groups to Discretizing Nuclear Engineering Problems
… law that can be used to create a two-term recurrence relation which calculates numerically exact Green's functions in one dimension for the time-independent neutron diffusion equation for Cartesian, cylindrical, and spherical geometries. This method will be expanded to constructing two-term …
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Option pricing in a path integral framework
… properties are employed to create a set of recurrence relations so that a final option pricing polynomial is formed. A similar approach using normalised Hermite orthogonal polynomials is also presented. Similar methods and techniques are utilised to form a new set of recurrence relations. …
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On orthogonal polynomials and related discrete integrable systems
… For the classical orthogonal polynomials, the recurrence relations and differential equations are well known and easy to calculate explicitly using an orthogonality relation or generating function. However with semi-classical orthogonal polynomials, the recurrence coefficients can no longer be …
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Applications of continued fractions in one and more variables
… fractions are derived from sets of three-term recurrence relations and approximation methods are developed from this simple approach. First, a well-known method for numerical inversion of Laplace transforms is modified in two different ways to obtain exponential approximations. …
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Topics in the Design and Analysis of Combinatorial Algorithms
… obtaining more precise closed form solutions of recurrence relations defined by minimization and maximization operators. Since such recurrences arise quite frequently in the analysis of the complexity and performance of algorithms it is important to develop techniques for their solution. The …
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ΑΣΥΜΠΤΩΤΙΚΗ ΜΕΤΑΒΛΗΤΟΤΗΤΑ ΣΕ ΜΗ ΟΜΟΓΕΝΗ ΜΑΡΚΟΒΙΑΝΑ ΣΥΣΤΗΜΑΤΑ- ΑΠΕΙΡΟΓΙΝΟΜΕΝΑ ΠΙΝΑΚΩΝ ΜΕ ΑΘΡΟΙΣΜΑ ΣΤΟΙΧΕΙΩΝ ΚΑΘΕ ΓΡΑΜΜΗΣ 1
… OF THE SIZE OF THE SYSTEM. AT LAST WE FOUND THE RECURRENCE RELATIONS FOR THE STRUCTURE OF THE POPULATION OF THE SYSTEM (IN NHMS) IN REVERSED TIME.
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Representation of special polynomials by the cycle indicator
… have Cycle Indicator representations as well as recurrence relations. Most remarkably, it is shown how the Cycle Indicator can be used to unify or generalize special functions. Methods of unifying special functions are elaborated on. It follows that classical special functions with simple …
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ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ Κ-ΤΑΞΗΣ
… COVARIANCES, FURTHER GENESIS SCHEMES, INTERRELATIONSHIPS AND RECURRENCE RELATIONS AND BINOMIAL EXPRESSIONS FOR CALCULATING THE PROBABILITIES OF THE ABOVE DISTRIBUTIONS ARE ALSO GIVEN.
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Growth of Conjugacy Classes of Reciprocal Words in Triangle Groups
… of minimal length in G. We specifically use recurrence relations, and techniques for obtaining the closed forms of these relations, in order to study the growth of these geometric objects. With these methods we are able to describe the asymptotic behavior of the conjugacy classes of the …
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Order statistics for a discrete parent distribution
… results hold also for the discrete case. Many recurrence relations between moments of order statistics are derived in the discrete case yielding the same results as previously given by Govindarajulu (1963) and Sillitto (1951, 1964) in the continuous case.
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SPIN WAVES AND PHASE TRANSITIONS IN FERROMAGNETIC SUPERLATTICES
… superlattices are studied. A new method of recurrence relations is used for the first time to study the spin waves or Curie temperatures in ferromagnetic superlattices. Compared with the previous method, such as transfer matrix method, this recurrence relation method has its unique …
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On Different Parametrizations of Feynman Integrals
… Then we use Intersection Theory to compute the recurrence relations among classes of integrals. We confirm the consistency of these two new approaches using traditional Integration-By-Parts calculations.</p>
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Familias paramétricas de procesos iterativos de alto orden de convergencia
… and one based in the construction of a system of recurrence relations. In the particular case of quadratic equations in Banach spaces, we establish a family of iterative processes with prefixed order of convergence. It is interesting to notice that in this case the parameters that appear in the …
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Buckling of composite conical shells under combined axial compression, external pressure, and bending
… system. The energy method is used to develop the recurrence relations to calculate coefficients of the series. A set of typical boundary conditions, thicknesses, the direction of layers axes of orthotropy, number of them, the circumferential wave number, and different materials are considered to …
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New Remedial Approaches to the Breakdown of Lanczos-type Algorithms
… of iteration by monitoring the parameters of the recurrence relations on which the given Lanczos-type algorithms are based, which cause breakdown. This monitoring is targeted to the appropriate or problematic parameters. In this thesis we show that this approach is effective as it does not require …
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Leveraging numerical relativity formulations for perturbative analysis: applications to quasinormal modes in general relativity
… with coefficients determined by three-term recurrence relations. These allow for the application of Leaver's continued fraction method, leading to the standard Schwarzschild quasinormal modes (QNMs). In addition, we investigate linearized ADM perturbations on a Tolman-Oppenheimer-Volkoff …
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Decision-feedback equalisation with fixed-lag smoothing in nonlinear channels.
… of integer partitions, as well as between linear recurrence relations that generalise that of the Fibonacci series. Examples of the performance of the FLSDFE algorithm are provided in chapter 4. Two underwater-acoustic communication channels are simulated, and it is shown that the FLSDFE performs …
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Seismic Hazard Assessment for Mainland China Based on Spatially Smoothed Seismicity and Projected Sets of Ground Motion Models
… by considering that a seismic magnitude-recurrence is applicable to a cluster, so the smoothing is carried out for the annual earthquake occurrence rate. The second one considers that the magnitude-recurrence relation is spatially varying, which is obtained by carrying out the smoothing …
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Stochastic Dynamics on Integrable Lattice Models
… utilize the “exact solvability” of the resulting recurrence relations to give exact formulas for the embeddings. We then precisely characterize the global and local asymptotic behavior of the embeddings, and to confirm predictions of [3], [5] in these two cases. In Chapter 6, we utilize the …
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Source studies over a wide range in earthquake magnitude
… (that earthquake source parameters obey scaling relations) and the empirical linear relation between magnitude and the log₁₀ of the number of events (the Gutenberg-Richter relation) describe well the behavior and recurrence of many earthquake data sets. The universality of these relations are …