Approximations and Estimates
Approximations and Solution Estimates in Optimization
... quantifying approximations by viewing finite- and infinite-dimensional constrained minimization prob- lems as instances of extended real-valued lower semicontinuous functions defined on a general metric ...obtain ...
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A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems
... element approximations of the Steklov eigenvalue ...error estimates are optimal up to higher order terms and that may be used for the design of adaptive ...
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Saddlepoint Approximations for Multivariate M-Estimates with Applications to Bootstrap Accuracy
... area approximations for the one-dimensional test statistic based on the appropriate component of the M-estimate for both stan- dardized and Studentized ...area approximations are applied to a Poisson ...
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A priori error estimates for energy based quasicontinuum approximations of a periodic chain
... consistency estimates for the QC approximations, which was analyzed in the previous section, their stability is the second key ingredient for deriving error ...
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Robust error estimates for approximations of non-self-adjoint eigenvalue problems.
... residual estimates based on Kato’s square root theorem for spectral approxi- mations of non-self-adjoint differential operators of convection–diffusion–reaction ...eigenvalue/vector approximations are ...
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Error Estimates of the Extrapolated Crank Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations
... discrete approximations using extrapolated Crank-Nicolson ...error estimates of discontinuous Galerkin approximations in both spatial direction and temporal ...
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Saddlepoint approximations and tests based on multivariate M-estimates
... We consider multidimensional M-functional parameters defined by expectations of score functions associated with multivariate M-estimators and tests for hypotheses concerning multidimensional smooth functions of these ...
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Saddlepoint approximations for multivariate M -estimates with applications to bootstrap accuracy
... order approximations can be obtained by means of Edgeworth or saddlepoint techniques, where we need to use empirical versions of these with estimated cumulants or an estimated cumulant generating function, ...
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Error Estimates for Approximations of Distributed Order Time Fractional Diffusion with Nonsmooth Data
... We develop a space semidiscrete scheme based on the Galerkin finite element method, and establish error estimates optimal with respect to data regularity in L2 Ω and H 1 Ω norms for both [r] ...
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Carleman estimates and controllability results for fully-discrete approximations of 1-D parabolic equations
... 2.2 Estimates involving only space-discrete computations In this step, we provide estimates for the terms I ij with i, j = 1, ...similar estimates already presented in [BLR14] for the space-discrete ...
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A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities
... error estimates for a model parabolic variational ...error estimates when p = 1 valid at convergence of the semismooth Newton solver and of the iterative algebraic ...
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2 Functions and approximations
... AND APPROXIMATIONS Below is a graphical representation of the Taylor expansion of the sine function around x = ...accurate estimates further away from our reference ...
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Determinant approximations
... DETERMINANT APPROXIMATIONS ILSE ...of approximations for the determinant of a complex matrix is derived, along with relative error ...The approximations are based on expansions of det(X ) = ...
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Transistor Approximations
... (For germanium transistors, V BE = 0.3 V.) With the second approximation, the base and collector currents will be slightly less than their ideal values Higher Approximations The bulk resistance of the emitter ...
Generating Numerical Approximations
... Regarding the other assumptions of the model, we found overwhelming evidence for a Minimal Distance constraint, which requires speakers/writers to choose (for a specified scale and relati[r] ...
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Quantitative Approximations to the Word
... QUANTITATIVE APPROXIMATIONS TO THE WORD and satisfactory definition exists, and some linguists deny any validity of the word, relegating it to folk linguistics Following Greenberg we take words as bei[.] ...
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On Linear Quadratic Approximations
... All the papers that have followed this methodological approach have also made use of the timeless perspective concept. We show that, in the case of a distorted steady state, the timeless perspective assumption is crucial ...
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On Multiple Linear Approximations
... B–3001 Leuven-Heverlee, Belgium { abiryuko, cdecanni, mquisqua } @esat.kuleuven.ac.be Abstract. In this paper we study the long standing problem of information extraction from multiple linear approximations. We ...
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On ’ best ’ rational approximations to and
... which has a denominator with 25 digits, and this is more likely the next record after 920/157! What else? In the sense of our development one can see 920/157 as the best rational number to substitute 𝜋 + 𝑒 when the ...
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Variational Particle Approximations
... Approximate inference in high-dimensional, discrete probabilistic models is a central prob- lem in computational statistics and machine learning. This paper describes discrete particle variational inference (DPVI), a new ...
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