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Showing 1 to 12 of 12 for “"Spline Approximation"”.

  1. Adaptive knot location for spline approximation.

    Mier Muth, Alberto MauricioMassachusetts Institute of Technology1976

    Thesis. 1976. M.S.--Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.

    mit Repository record

  2. A duality approach to spline approximation

    Bonawitz, Elizabeth AnnVirginia Tech1994

    This dissertation discusses a new approach to spline approximation. A periodic spline approximation 𝑓<sub>M,m,N</sub>(x) = Σ<sub>k=1</sub><sup>N</sup>α<sub>k</sub>Φ<sub>M,k</sub>(x) to a periodic function 𝑓(x) is determined by requiring < Φ<sub>m,j</sub>, 𝑓 - 𝑓<sub>M,m,N</sub> > = 0 for j = …

    vt Repository record

  3. Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance

    Khabir, Mohmed Hassan MohmedUniversity of the Western Cape2011

    … explore some of those methods which are based on spline approximations to solve the option pricing problems. We show a systematic construction and analysis of these methods to solve some European option problems and then extend the approach to solve problems of pricing American options as well as …

    western-cape Repository record

  4. Approximation of integro-partial differential equations of hyperbolic type

    Fabiano, Richard H.Virginia Polytechnic Institute and State University1986

    … type which arise in viscoelasticity. An approximation scheme is developed based on a spline approximation in the spatial variable and an averaging approximation in the de1ay variable. Techniques from linear semigroup theory are used to discuss the well-posedness of the state space model …

    vt Repository record

  5. Splines and local approximation of the earth's gravity field

    Van Gysen, Hermanus GerhardusDivision of Geomatics1988

    The Hilbert space spline theory of Delvos and Schempp, and the reproducing kernel theory of L. Schwartz, provide the conceptual foundation and the construction procedure for rotation-invariant splines on Euclidean spaces, splines on the circle, and splines on the sphere and harmonic outside the …

    cape-town Repository record

  6. Methods for recognizing patterns in digitized line drawings

    Wenban, James DavidVirginia Polytechnic Institute and State University1986

    … data is presented. This method makes use of a spline approximation of the line data and Legendre polynomials. Some methods for recognizing incomplete line patterns and partially occluded curves are also discussed, and some experiments are performed.

    vt Repository record

  7. Algebraic Grid Generation Using Tensor Product B-Splines

    Saunders, Bonita Valerie2019

    … algorithm uses a mapping composed of bicubic B-splines. Boundary coefficients are chosen so that the splines produce Schoenberg's variation diminishing spline approximation to the boundary. Interior coefficients are initially chosen to give a variation diminishing approximation to the …

    odu Repository record

  8. A penalized estimation procedure for varying coefficient models

    Tu, Yan, author, Wang, Haonan, advisor, Breidt, F. Jay, committee member, Chapman, Phillip, committee member, Luo, J. Rockey, committee memberColorado State University. Libraries2015

    … unified framework. We exploit the property of B-spline approximation and group bridge penalization. Our method is illustrated in simulation study and real data analysis, and outperforms the existing methods in identifying both local sparsity and global sparsity. Asymptotic properties of …

    colostate Repository record

  9. Multivariable isoperformance methodology for precision opto-mechanical systems

    De Weck, Olivier Ladislas, 1968-Massachusetts Institute of Technology2001

    … tangential front following and vector spline approximation) are developed for the bivariate and multivariable problem. The challenges of large order models are addressed by presenting a fast diagonal Lyapunov solver, apriori error bounds for model reduction as well as a governing …

    mit Repository record

  10. Model-Free Variable Screening, Sparse Regression Analysis and Other Applications with Optimal Transformations

    Huang, Qiming

    … variables, based on maximum correlation and B-spline approximation. B-spline based Maximum Correlation (BMC) and Trace BMC (T-BMC) are introduced to measure dependence between two univariate random variables. As extensions to BMC and T-BMC, Multivariate BMC (MBMC) and Trace Multivariate BMC …

    purdue-thes Repository record

  11. Applications of numerical analysis in navigation

    Williams, RoyThe Open University1994

    … points by a numerical method - the Direct Cubic Spline method which was first introduced by this author in the Bachelor of Philosophy thesis in 1982 and is developed further in part 2 of this thesis. We apply this method also to the special problem of computing the distance along the shortest …

    the-open-u Repository record

  12. Frequentist-Bayesian Hybrid Tests in Semi-parametric and Non-parametric Models with Low/High-Dimensional Covariate

    Xu, YangyiVirginia Tech2014

    We provide a Frequentist-Bayesian hybrid test statistic in this dissertation for two testing problems. The first one is to design a test for the significant differences between non-parametric functions and the second one is to design a test allowing any departure of predictors of high dimensional X …

    vt Repository record