direct and inverse problems
DIRECT AND INVERSE PROBLEMS FOR DIFFUSION OPERATOR WITH DISCONTINUITY POINTS
... The fundamental studies on the spectral theory of the Sturm-Liouville equations were performed by Bernoulli, Euler, Sturm and Liouville. The first study, which is considered to be the beginning of the inverse ...
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Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation
... Gorbachuk, VI, Rybak, MA: On Boundary Value Problems for Sturm-Liouville Operator Equation with Eigenvalue Dependent Boundary Condition.. Direct and Inverse Problems of Scattering Theory[r] ...
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Elastic Bending Deformation of the Drill Strings in Channels of Curve Wells
... of direct and inverse problems of deformation of the curved rods were presented in [9] [10] ...the problems of bending of the boring columns in curved well channels, and the purpose to develop ...
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Synthetic seismograms and inverse problems in reflection seismology
... geophysical inverse problem is to find an optimal geophysical model, representing a portion of the real earth or a complete one, to reduce the data misfit (the discrepancy between observed data and predicted data) ...
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Adding Constraints to Bayesian Inverse Problems
... The direct Bayesian inference based on MCMC sampling is usually intractable when the likelihood calculation in- volves a computationally expensive model; instead approx- imate Bayesian approaches are commonly used ...
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A Parallel Optimization Framework for Inverse Problems
... Non-gradient methods start with one or more initial guesses and follow a set of rules to move towards the solution. These optimization methods can be global or local. Examples of global approaches are genetic algorithms ...
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INVERSE PROBLEMS RELATED TO ION CHANNEL SELECTIVITY
... these problems is called direct and which is called ...the direct problem is the more classical ...the direct problem usually predicts the evolution of the described system from knowledge of ...
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Random Delay Differential Equations And Inverse Problems For Aggregate Data Problems
... results for a solution to the FDE. One can use the ideas of a linear semigroup framework, in which approximation of linear delay systems has been developed, as a basis for a wide class of nonlinear delay system ...
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Inverse problems for nonlinear delay systems
... identification problems, the latter of which are discussed in ...and direct approximation A N (t) → A (t) (no Trotter-Kato!) along with a Gronwall ...
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Stability estimate and regularization for a radially symmetric inverse heat conduction problem
... to direct problems as well as to various types of inverse problems such as the IHCP [], the Cauchy problem of Laplace equation [, ], the backward heat conduction problem [], the ...
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Inverse Problems of Optimal Stabilization with Scalar Control
... порционального регулятора (модального регулятора) для стабилизации объекта управления по расположению полюсов замкнутой системы.. На следующем этапе исследования применялс[r] ...
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Identifiability Analysis of Inverse Problems in Biology
... Two global methods of sensitivity-based identifiability analysis are described and demonstrated their application to the mathematical model of the spread of TB and HIV co-infection. It is shown that four parameters are ...
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Sensitivity functions and their uses in inverse problems
... The Verhulst-Pearl logistic equation is a relatively simple example with easily studied dynamics that is useful in demonstrating the utility of the traditional sensitivity functions as well as the generalized sensitivity ...
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The Method of Characteristics in Inverse Problems of Dynamics
... solving inverse prob- lems is suggested and ...in problems of modeling and identification of parameters of models in mechanics, engineering, economics, biology and so on, when statistic data is ...
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Ill-Posed and Linear Inverse Problems
... As we have seen in the previous section, the primary difficulty with ill- posed problems is that they are practically underdetermined due to the cluster of small singular values of K. Hence, it is necessary to ...
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Inverse Problems of Matrix Data Reconstruction
... rank(A) = k. But what are the exceptions? In this chapter we study the analysis of the non- negative rank of a very important class of nonnegative matrices, the so called Euclidian distance matrices (EDM). The notion of ...
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Geometric MCMC for infinite dimensional inverse problems
... Bayesian inverse problems often involve sampling posterior distributions on infinite-dimensional function spaces. Traditional Markov chain Monte Carlo (MCMC) algorithms are characterized by deteriorating ...
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Atomic Solution of Certain Inverse Problems
... of inverse problems for differential equations is being extensively developed with the frame work of mathematical ...an inverse prob- lem additional conditions are ...of problems using a ...
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Ensemble based methods for geometric inverse problems
... Bayesian inverse problems to improve on the compu- tational burden of traditional ...geometric inverse problem for a 2D elliptic ...of problems that were discussed are much bigger, which can ...
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On Open Problems of Nonnegative Inverse Eigenvalues Problem
... From the evidence we have heard so far, there are no existing conclusions for the above problems. But we conjecture each of three new propositions above is holds. In fact, since A is a known nonnegative matrix, in ...
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