Browsing Mathematics, Statistics, and Physics by Title
Now showing items 173-192 of 443
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Increasing stability in the inverse source problem with many frequencies
(Elsevier B.V., 2016-03-05)We study increasing stability in the interior inverse source problem for the Helmholtz equation from boundary Cauchy data for multiple wave numbers. By using the Fourier transform with respect to the wave number, explicit ... -
Increasing stability in the two dimensional inverse source scattering problem with attenuation and many frequencies
(IOP Publishing, 2018-08-22)In this paper, we investigate the interior inverse source problem for the Helmholtz equation with attenuation in the plane from boundary Cauchy data of multiple frequencies when the source term is assumed to be compactly ... -
Inferences under a stochastic ordering constraint: The k-sample case
(American Statistical Association, 2005-03)If X1 and X2 are random variables with distribution functions F1 and F2, then X1 is said to be stochastically larger than X2 if F1 ≤ F2. Statistical inferences under stochastic ordering for the two-sample case has a long ... -
Infinite products
(Wichita State University, 1953-06) -
Instantaneous frequency-embedded synchrosqueezing transform for signal separation
(Frontiers Media S.A., 2022-03-17)The synchrosqueezing transform (SST) and its variants have been developed recently as an alternative to the empirical mode decomposition scheme to model a non-stationary signal as a superposition of amplitude- and ... -
Integral Geometry and Tomography
(Springer, 2017)The problems of integral geometry are to determine a function given (weighted) integrals of this function over a “rich” family of manifolds. These problems are of importance in medical applications (tomography), and they ... -
The inverse conductivity problem with limited data and applications
(Institute of Physics, 2007)This paper describes recent uniqueness results in inverse problems for semiconductor devices and in the inverse conductivity problem. We remind basic inverse probelsm in semiconductor theory and outline use of an adjoint ... -
Inverse doping profile analysis for semiconductor quality control
(Wichita State University, 2009-12)Inverse doping pro le problems are linked to inverse conductivity problems under the assumptions of zero space charge and low injection. Unipolar inverse conductivity problems are analyzed theoretically via three uniqueness ... -
Inverse doping profile analysis for semiconductor quality control
(Wichita State University. Graduate School, 2010-04-23)Inverse doping profile problems are linked to inverse conductivity problems under the assumptions of zero space charge and low injection. Unipolar inverse conductivity problems are analyzed theoretically via three uniqueness ... -
Inverse parabolic problems
(Springer, 2017)In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω. In Section 9.6, we ... -
An inverse problem for a dynamical Lamé system with residual stress
(Society for Industrial and Applied Mathematics, 2007-12-19)In this paper we prove a Hölder and Lipschitz stability estimates of determining all coefficients of a dynamical Lamé system with residual stress, including the density, Lam´e parameters, and the residual stress, by three ... -
Inverse problem for one-dimensional wave equation with matrix potential
(De Gruyter, 2019-01-20)We prove a global uniqueness theorem of reconstruction of a matrix-potential a (x, t) {a(x,t)} of one-dimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2 - x 2 {\square=\partial-{t}^ ... -
Inverse problems
(Springer, 2017)In this chapter, we formulate basic inverse problems and indicate their applications. The choice of these problems is not random. We think that it represents their interconnections and some hierarchy. -
Inverse source problems without (pseudo) convexity assumptions
(American Institute of Mathematical Sciences, 2018-08)We study the inverse source problem for the Helmholtz equation from boundary Cauchy data with multiple wave numbers. The main goal of this paper is to study the uniqueness and increasing stability when the (pseudo)convexity ... -
An investigation of capillary surfaces at non-convex corners
(Wichita State University, 2009-12)In this thesis we take a close look at the paper CMC Capillary Surfaces at Reentrant Corners [33] a central feature of which is the question of when does the "central fan" of radial limits exist for a capillary graph in a ... -
Investigations in single layer gravitational potential
(Wichita State University, 2010-05) -
Isochrones for old (> 5 GYR) stars and stellar populations. I. models for-2.4 <= [Fe/H] <=+0.6, 0.25 <= Y <= 0.33, and-0.4 <= [alpha/Fe] <=+0.4
(IOP Publishing, 2014-10-10)Canonical grids of stellar evolutionary sequences have been computed for the helium mass-fraction abundances Y = 0.25, 0.29, and 0.33, and for iron abundances that vary from 2.4 to +0.4 (in 0.2 dex increments) when [alpha/Fe] ... -
Isolated fixed point sets for holomorphic maps
(Elsevier SAS, 2006-07)We study discrete fixed point sets of holomorphic self-maps of complex manifolds. The main attention is focused on the cardinality of this set and its configuration. As a consequence of one of our observations, a bounded ... -
Isotonic regression through the Merge and Chop Algorithm for application in statistical inference
(Wichita State University, 2016-05)In this paper, the theory for the application of the Merge and Chop Algorithm are defined and proven. The algorithm is used to find isotonic regressions in more situations than comparable methods. A program is included ... -
Isotropic covariance matrix functions on all spheres
(Springer International Publishing AG, 2015-08)This paper reviews and introduces characterizations of the covariance function on all spheres that is isotropic and continuous, and characterizations of the covariance matrix function on all spheres whose entries are ...