Relevant bibliographies by topics / Local interpolation error,estimates

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Local interpolation error,estimates'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Local interpolation error,estimates"

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Zuppa, Carlos. "Error estimates for modified local Shepard's interpolation formula." Applied Numerical Mathematics 49, no. 2 (2004): 245–59. http://dx.doi.org/10.1016/j.apnum.2003.11.001.

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Etherington, Thomas R. "Discrete natural neighbour interpolation with uncertainty using cross-validation error-distance fields." PeerJ Computer Science 6 (July 13, 2020): e282. http://dx.doi.org/10.7717/peerj-cs.282.

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Interpolation techniques provide a method to convert point data of a geographic phenomenon into a continuous field estimate of that phenomenon, and have become a fundamental geocomputational technique of spatial and geographical analysts. Natural neighbour interpolation is one method of interpolation that has several useful properties: it is an exact interpolator, it creates a smooth surface free of any discontinuities, it is a local method, is spatially adaptive, requires no statistical assumptions, can be applied to small datasets, and is parameter free. However, as with any interpolation me
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Li, Ming, and Feilong Cao. "Local uniform error estimates for spherical basis functions interpolation." Mathematical Methods in the Applied Sciences 37, no. 9 (2013): 1364–76. http://dx.doi.org/10.1002/mma.2898.

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Hetmaniuk, U., and P. Knupp. "Local Anisotropic Interpolation Error Estimates Based on Directional Derivatives Along Edges." SIAM Journal on Numerical Analysis 47, no. 1 (2009): 575–95. http://dx.doi.org/10.1137/060666524.

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WU, ZONG-MIN, and ROBERT SCHABACK. "Local error estimates for radial basis function interpolation of scattered data." IMA Journal of Numerical Analysis 13, no. 1 (1993): 13–27. http://dx.doi.org/10.1093/imanum/13.1.13.

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HESSE, KERSTIN, and Q. T. LE GIA. "LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE." Bulletin of the Australian Mathematical Society 77, no. 2 (2008): 197–224. http://dx.doi.org/10.1017/s0004972708000087.

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AbstractIn this paper we derive local error estimates for radial basis function interpolation on the unit sphere $\mathbb {S}^2\subset \mathbb {R}^3$. More precisely, we consider radial basis function interpolation based on data on a (global or local) point set $X\subset \mathbb {S}^2$ for functions in the Sobolev space $H^s(\mathbb {S}^2)$ with norm $\|\cdot \|_s$, where s>1. The zonal positive definite continuous kernel ϕ, which defines the radial basis function, is chosen such that its native space can be identified with $H^s(\mathbb {S}^2)$. Under these assumptions we derive a local est
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Hedger, Richard D., François Martin, Julian J. Dodson, Daniel Hatin, François Caron, and Fred G. Whoriskey. "The optimized interpolation of fish positions and speeds in an array of fixed acoustic receivers." ICES Journal of Marine Science 65, no. 7 (2008): 1248–59. http://dx.doi.org/10.1093/icesjms/fsn109.

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Abstract Hedger, R. D., Martin, F., Dodson, J, J., Hatin, D., Caron, F., and Whoriskey, F. G. 2008. The optimized interpolation of fish positions and speeds in an array of fixed acoustic receivers. – ICES Journal of Marine Science, 65: 1248–1259. The principal method for interpolating the positions and speeds of tagged fish within an array of fixed acoustic receivers is the weighted-mean method, which uses a box-kernel estimator, one of the simplest smoothing options available. This study aimed to determine the relative error of alternative, non-parametric regression methods for estimating the
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Kamata, Keisuke, Koichi Kinoshita, and Manabu Kano. "Missing RRI Interpolation Algorithm based on Locally Weighted Partial Least Squares for Precise Heart Rate Variability Analysis." Sensors 18, no. 11 (2018): 3870. http://dx.doi.org/10.3390/s18113870.

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The R-R interval (RRI) fluctuation in electrocardiogram (ECG) is called heart rate variability (HRV), which reflects activities of the autonomic nervous system (ANS) and has been used for various health monitoring services. Accurate R wave detection is crucial for success in HRV-based health monitoring services; however, ECG artifacts often cause missing R waves and deteriorate the accuracy of HRV analysis. The present work proposes a new missing RRI interpolation technique based on Just-In-Time (JIT) modeling. In the JIT modeling framework, a local regression model is built by weighing sample
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Fonseca, Kalina, Mercy IlbayYupa, Luis Bustillos, Sara Barbosa, and Alisson Iza. "Comparación de Métodos de Interpolación para la Estimación de Temperatura del Reservorio CEASA." Revista Bases de la Ciencia. e-ISSN 2588-0764 3, no. 1 (2018): 57. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v3i1.1108.

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La interpolación de temperatura en cuerpos de agua permite realizar predicciones de puntos de muestreo que no presentan datos. En la presente investigación se evaluaron 12 métodos de interpolación para estimar la temperatura del reservorio del Centro de Experimentación Académica Salache (CEASA) de la Universidad Técnica de Cotopaxi. Los datos recolectados en campo fueron interpolados aleatoriamente y comparados con los reales en base al error medio (EM), error absoluto medio (MAE), error medio cuadrático (MSE), raíz del error cuadrático (RMSE) y coeficiente de determinación (R2). La interpolac
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Khan, Suliman, M. Riaz Khan, Aisha M. Alqahtani, et al. "A well-conditioned and efficient implementation of dual reciprocity method for Poisson equation." AIMS Mathematics 6, no. 11 (2021): 12560–82. http://dx.doi.org/10.3934/math.2021724.

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<abstract><p>One of the attractive and practical techniques to transform the domain integrals to equivalent boundary integrals is the dual reciprocity method (DRM). The success of DRM relies on the proper treatment of the non-homogeneous term in the governing differential equation. For this purpose, radial basis functions (RBFs) interpolations are performed to approximate the non-homogeneous term accurately. Moreover, when the interpolation points are large, the global RBFs produced dense and ill-conditioned interpolation matrix, which poses severe stability and computational issue
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Dissertations / Theses on the topic "Local interpolation error,estimates"

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Apel, Th. "Interpolation of non-smooth functions on anisotropic finite element meshes." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801341.

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In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed. The modified operators are defined for non-smooth functions and are suited for the application on anisotropic meshes. The anisotropy of the elements is reflected in the local stability and approximation error estimates. As an application, an example is considered where anisotropic finite element meshes are appropriate, namely the Poisson problem in domains with edges.
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Apel, T., and S. Nicaise. "Elliptic problems in domains with edges: anisotropic regularity and anisotropic finite element meshes." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800553.

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This paper is concerned with the anisotropic singular behaviour of the solution of elliptic boundary value problems near edges. The paper deals first with the description of the analytic properties of the solution in newly defined, anisotropically weighted Sobolev spaces. The finite element method with anisotropic, graded meshes and piecewise linear shape functions is then investigated for such problems; the schemes exhibit optimal convergence rates with decreasing mesh size. For the proof, new local interpolation error estimates in anisotropically weight
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Gillette, Andrew, and Alexander Rand. "INTERPOLATION ERROR ESTIMATES FOR HARMONIC COORDINATES ON POLYTOPES." EDP SCIENCES S A, 2016. http://hdl.handle.net/10150/621355.

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Interpolation error estimates in terms of geometric quality measures are established for harmonic coordinates on polytopes in two and three dimensions. First we derive interpolation error estimates over convex polygons that depend on the geometric quality of the triangles in the constrained Delaunay triangulation of the polygon. This characterization is sharp in the sense that families of polygons with poor quality triangles in their constrained Delaunay triangulations are shown to produce large error when interpolating a basic quadratic function. Non-convex polygons exhibit a similar limitati
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Apel, Thomas, and Cornelia Pester. "Clément-type interpolation on spherical domains - interpolation error estimates and application to a posteriori error estimation." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601335.

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In this paper, a mixed boundary value problem for the Laplace-Beltrami operator is considered for spherical domains in $R^3$, i.e. for domains on the unit sphere. These domains are parametrized by spherical coordinates (\varphi, \theta), such that functions on the unit sphere are considered as functions in these coordinates. Careful investigation leads to the introduction of a proper finite element space corresponding to an isotropic triangulation of the underlying domain on the unit sphere. Error estimates are proven for a Clément-type interpolation operator, where appropriate, we
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Apel, Th. "A note on anisotropic interpolation error estimates for isoparametric quadrilateral finite elements." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801071.

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Anisotropic local interpolation error estimates are derived for quadrilateral and hexahedral Lagrangian finite elements with straight edges. These elements are allowed to have diameters with different asymptotic behaviour in different space directions. The case of affine elements (parallelepipeds) with arbitrarily high degree of the shape functions is considered first. Then, a careful examination of the multi-linear map leads to estimates for certain classes of more general, isoparametric elements. As an application, the Galerkin finite element method for a reaction diffusion problem in a poly
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Brownlee, Robert Alexander. "Error estimates for interpolation of rough and smooth functions using radial basis functions." Thesis, University of Leicester, 2004. http://hdl.handle.net/2381/8825.

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In this thesis we are concerned with the approximation of functions by radial basis function interpolants. There is a plethora of results about the asymptotic behaviour of the error between appropriately smooth functions and their interpolants, as the interpolation points fill out a bounded domain in Euclidean space. In all of these cases, the analysis takes place in a natural function space dictated by the choice of radial basis function - the native space. This work establishes Lp-error estimates, for 1 ≤ p ≤ ∞, when the function being interpolated fails to have the required smoothness to li
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Kirby, Robert Charles. "Local time stepping and a posteriori error estimates for flow and transport in porous media /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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Carson, Hugh Alexander. "A priori analysis of global and local output error estimates for CG, DG and HDG finite element discretizations." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/105608.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2016.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 103-105).<br>In this thesis, a priori convergence estimates are developed for outputs, output error estimates, and localizations of output error estimates for Galerkin finite element methods. Specifically, Continuous Galerkin (CG), Discontinuous Galerkin (DG), and Hybridized DG (HDG) methods are analyzed for the Poisson problem. A mixed formulation for DG output error estimation is proposed with improved co
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Lacouture, Loïc. "Modélisation et simulation du mouvement de structures fines dans un fluide visqueux : application au transport mucociliaire." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLS139/document.

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Une grande part des muqueuses à l’intérieur du corps humain sont recouvertes de cils qui, par leurs mouvements coordonnés, conduisent à une circulation de la couche de fluide nappant la muqueuse. Dans le cas de la paroi interne des bronches, ce processus permet l’évacuation des impuretés inspirées à l’extérieur de l’appareil respiratoire.Dans cette thèse, nous nous intéressons aux effets du ou des cils sur le fluide, en nous plaçant à l’échelle du cil, et on considère pour cela les équations de Stokes incompressible. Due à la finesse du cil, une simulation directe demanderait un raffinement im
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Books on the topic "Local interpolation error,estimates"

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Apel, Thomas. Anisotropic finite elements: Local estimates and applications. B.G. Teubner, 1999.

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Tadmor, Eitan. Local error estimates for discontinuous solutions of nonlinear hyperbolic equations. Institute for Computer Applications in Science and Engineering, 1989.

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Center, Langley Research, ed. Local error estimates for discontinuous solutions of nonlinear hyperbolic equations. National Aeronautics and Space Administration, Langley Research Center, 1990.

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Book chapters on the topic "Local interpolation error,estimates"

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Maz’ya, Vladimir, and Gunther Schmidt. "Error estimates for quasi-interpolation." In Approximate Approximations. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/141/02.

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Amadori, Debora, and Laurent Gosse. "Local and Global Error Estimates." In SpringerBriefs in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24785-4_2.

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Bank, Randolph E. "A-posteriori error estimates. Adaptive local mesh refinement and multigrid iteration." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0072638.

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Schulz, H., and W. L. Wendland. "Local, Residual-Based A Posteriori Error Estimates Forcing Adaptive Boundary Element Methods." In Boundary Element Topics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60791-2_21.

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Tscherning, C. C. "Improvement of Least-Squares Collocation Error Estimates Using Local GOCE T zz Signal Standard Deviations." In VIII Hotine-Marussi Symposium on Mathematical Geodesy. Springer International Publishing, 2015. http://dx.doi.org/10.1007/1345_2015_70.

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Amano, K., M. Asaduzzaman, T. Ooura, and S. Saitoh. "Representations of Analytic Functions on Typical Domains in Terms of Local Values and Truncation Error Estimates." In Analytic Extension Formulas and their Applications. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4757-3298-6_2.

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Akin, J. E. "Element interpolation and local coordinates." In Finite Element Analysis with Error Estimators. Elsevier, 2005. http://dx.doi.org/10.1016/b978-075066722-7/50034-5.

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Buhmann, M. D., and N. Dyn. "Error Estimates for Multiquadric Interpolation." In Curves and Surfaces. Elsevier, 1991. http://dx.doi.org/10.1016/b978-0-12-438660-0.50013-3.

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"ERROR ESTIMATES IN POLYNOMIAL INTERPOLATION." In Boundary Value Problems from Higher Order Differential Equations. WORLD SCIENTIFIC, 1986. http://dx.doi.org/10.1142/9789814415477_0008.

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Madych, W. R. "Error Estimates for Interpolation by Generalized Splines." In Curves and Surfaces. Elsevier, 1991. http://dx.doi.org/10.1016/b978-0-12-438660-0.50047-9.

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Conference papers on the topic "Local interpolation error,estimates"

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Sirikham, Adisorn, and Wuttipong Kumwilaisak. "Image Error Concealment Using Optimized Local Pixel Matching and Directional Interpolation." In The 9th International Conference on Advanced Communication Technology. IEEE, 2007. http://dx.doi.org/10.1109/icact.2007.358514.

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Sireta, François-Xavier, Quentin Derbanne, Fabien Bigot, Šime Malenica, and Eric Baudin. "Hydroelastic Response of a Ship Structural Detail to Seakeeping Loads Using a Top-Down Scheme." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83560.

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In order to investigate the local response of a ship structure, it is necessary to transfer the seakeeping loading to a 3DFEM model of the structure. A common approach is to transfer the seakeeping loads calculated by a BEM method to the FEM model. Following the need to take into account the dynamic response of the ship to the wave excitation, some methods based on a modal approach have been recently developed that include the dry structural modes in the hydro-structure coupling procedure and allow to compute the springing and whipping response of the ship structure to the seakeeping loads. In
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Caluwaerts, Ken, and Jochen J. Steil. "Independent joint learning in practice: Local error estimates to improve inverse dynamics control." In 2015 IEEE-RAS 15th International Conference on Humanoid Robots (Humanoids). IEEE, 2015. http://dx.doi.org/10.1109/humanoids.2015.7363439.

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Kreinovich, V. Ya. "Global Independence, Possible Local Dependence: Towards More Realistic Error Estimates for Indirect Measurements." In 2019 XXII International Conference on Soft Computing and Measurements (SCM). IEEE, 2019. http://dx.doi.org/10.1109/scm.2019.8903841.

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Moller, T., R. Machiraju, K. Mueller, and R. Yagel. "Classification and local error estimation of interpolation and derivative filters for volume rendering." In Proceedings of 1996 Symposium on Volume Visualization. IEEE, 1996. http://dx.doi.org/10.1109/svv.1996.558045.

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Hema, N., and Krishna Kant. "Local weather interpolation using remote AWS data with error corrections using sparse WSN for automated irrigation for Indian farming." In 2014 Seventh International Conference on Contemporary Computing (IC3). IEEE, 2014. http://dx.doi.org/10.1109/ic3.2014.6897220.

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Thompson, Lonny L., and Dantong He. "Local Space-Time Adaptive Discontinuous Galerkin Finite Element Methods for Time-Dependent Waves." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-42542.

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Local space-time adaptive methods are developed including high-order accurate nonreflecting boundary conditions (NRBC) for time-dependent waves. The time-discontinuous Galerkin (TDG) variational method is used to divide the time-interval into space-time slabs, the solution advanced from one slab to the next. Within each slab, a continuous space-time mesh is used which enables local sub-time steps. By maintaining orthogonality of the space-time mesh and pre-integrating analytically through the time-slab, we obtain an efficient yet robust local space-time adaptive method. Any standard spatial el
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Subbarayalu, Sethuramalingam, and Lonny L. Thompson. "HP-Adaptive Time-Discontinuous Galerkin Finite Element Methods for Time-Dependent Waves." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60403.

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hp-Adaptive time-discontinuous Galerkin methods are developed for second-order hyperbolic systems. Explicit a priori error estimates in terms of time-step size, approximation order, and solution regularity are derived. Knowledge of these a priori convergence rates in combination with a posteriori error estimates computed from the jump in time-discontinuous solutions are used to automatically select time-step size h and approximation order p to achieve a specified error tolerance with a minimal number of total degrees-of-freedom. We show that the temporal jump error is a good indicator of the l
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Park, Chanyoung, Nam H. Kim, and Raphael T. Haftka. "Least Bumpiness Calibration With Extrapolative Bias Correction." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-86163.

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Bias correction is important for model calibration to obtain unbiased calibration parameter estimates and make accurate prediction. However, calibration often relies on insufficient samples, and so bias correction often mostly depends on extrapolation. For example, bias correction with twelve samples in nine-dimensional box generated by Latin Hypercube Sampling (LHS) has less than 0.1% interpolation domain in the box. Since bias correction is coupled with calibration parameter estimation, calibration with extrapolative bias correction can lead a large error in the calibrated parameters. This p
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McCusker, James R., and Kourosh Danai. "Integrating Parameter Estimation Solutions From the Time and Time-Scale Domains." In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2552.

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A method of parameter estimation was recently introduced that separately estimates each parameter of the dynamic model [1]. In this method, regions coined as parameter signatures, are identified in the time-scale domain wherein the prediction error can be attributed to the error of a single model parameter. Based on these single-parameter associations, individual model parameters can then be estimated for iterative estimation. Relative to nonlinear least squares, the proposed Parameter Signature Isolation Method (PARSIM) has two distinct attributes. One attribute of PARSIM is to leave the esti
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