ill-posed problem solution
A New Regularized Solution to Ill Posed Problem in Coordinate Transformation
... Coordinate transformation plays a very importance role in the numerical treatment of global positioning system. For transforming GPS coordinates from WGS-84 coordi- nate system to a local coordinate system, the Bursa mo- ...
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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... source problem for the Rayleigh–Stokes problem for a generalized second-grade fluid with a fractional derivative ...The problem is severely ill-posed in the sense of ...unstable ...
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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations
... are ill-posed problems, so that solving discretized system of such problems has a lot of ...(ill-posed problem) to system of the second kind Volterra–Fredholm integral equations ...
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Ill-Posed Problems
... the solution y1(t) at t = 1 will be a very large number; this number will be the larger the smaller is ...the solution y1(t) as a function of m suff ers discon- tinuity, continuity being ...the ...
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The Significance of Solutions Obtained from Ill Posed Systems of Linear Equations Constituted by Synchrotron Radiation Based Anomalous Small Angle X Ray Scattering
... In 1947 Alan Turing stated that the best known method for the solution of linear equations is Gauss’s elimination method [1]. Turing reported that the elimination method “…unfortunately recently come into ...
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An Ill Posed Cauchy Problem for a Hyperbolic System in Two Space Dimensions.
... If the solution r 4 r(t , x) of the scalar conservation law (1.3) remains smooth (or piecewise smooth), it is easy to check that the above proce- dure actually yields a weak solution u to the Cauchy ...
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V-Matrix Method of Solving Statistical Inference Problems
... probability problem instead of pattern recognition prob- lem might appear to contradict this ...the solution, and applies rigorous approaches, whereas the SVM setting does not take that knowledge into ...
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Numerical solution of a time-fractional inverse source problem
... inverse problem of determining an un- known source term in a time-fractional diffusion equation is inves- ...inverse problem is severely ...regularized problem. The stability of numerical ...
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An iterative regularization method for an abstract ill-posed biparabolic problem
... the problem of approximating a solution of an ill-posed biparabolic problem in the abstract ...original problem, we propose a regularizing strategy based on the Kozlov-Maz’ya ...
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Ill-Posed Point Neuron Models
... be ill posed. More specifically, the initial-condition-to-solution map might be- come discontinuous in finite ...numerical solution of such ...well posed. Nevertheless, in the steep ...
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Ill-Posed and Linear Inverse Problems
... with ill- posed problems is that they are practically underdetermined due to the cluster of small singular values of ...desired solution in order to stabilize the problem and to single out a ...
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Regularization of Ill-Posed Point Neuron Models
... and the purpose of this paper is to analyze the limit process β → ∞. This inves- tigation is motivated by the fact that the stable numerical solution of an ill-posed problem is very difficult, ...
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On the regularization of solution of an inverse ultraparabolic equation associated with perturbed final data
... inverse problem for a class of abstract ultraparabolic equations which is well known to be ...of solution, then show the instability cause. Since the solution exhibits unstable dependence on the ...
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A Spectral Regularization Method for a Cauchy Problem of the Modified Helmholtz Equation
... Cauchy problem for Helmholtz equation arises from inverse scattering ...this problem are ...Cauchy problem for elliptic equations is well known to be severely ill-posed 7; that is, the ...
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The Problem of Integral Geometry of Volterra Type with a Weight Function of a Special Type
... The problem of solving equation (2) called weakly ill-posed, if for this problem and its solution of the equation, you can to pick up a such pair Function spaces in the definition of ...
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The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
... inverse problem of coupled static thermo-elasticity in which one has to determine the thermo-elastic stress state in a body from displacements and temperature given on a subset of the boundary is ...numerical ...
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Surface temperature determination from Borehole measurements: Regularization and error estimates
... As is well-known, this is an ill-posed problem Using the Tikhonov method, the authors give a regularized solution, and assuming the unknown exact solution is in HR,a > 0 They give an err[r] ...
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Journal of Computational and Applied Mathematics
... numerical solution of the reduced minimization problem (8) and the determination of the regularization parameter µ will be discussed in Section ...discrete ill-posed problems often can be ...
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Local Annihilation Method and Some Stiff Problems
... The numerical results show that the local anni- hilation method is often more accurate and more stable than the collocation method for the numer- ical solution of the presented stiff and ill-posed ...
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On Rate Optimality for Ill-posed Inverse Problems in Econometrics
... mildly ill-posed case (when the singular values associated with the conditional expectation operator decay to zero at a polynomial rate), Hall and Horowitz (2005) establish the minimax risk lower bound in ...
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