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Complementary Polynomials in Quantum Signal Processing. [PDF]

Commun Math Phys
Berntson BK, Sünderhauf C.
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An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems. [PDF]

Stoch Partial Differ Equ
Bechtel S, Veraar M.
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Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]

Calc Var Partial Differ Equ
Lin YH, Tyni T, Zimmermann P.
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Stochastic fractional order model for the computational analysis of computer virus. [PDF]

Sci Rep
Ayaz A, Rehamn MAU, Rafiq M, Iqbal Z, Ahmed N, Akgül A, Iqbal MS, Raza A, Ceesay B.   +8 more
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Convergence Rates of the Hilbert Uniqueness Method via Tikhonov Regularization

Journal of Optimization Theory and Applications, 1999
A parabolic differential equation on \([0,1]\times [0,T]\) with Dirichlet data and homogeneous initial data of the following form is considered \[ {\partial y\over\partial t}-{\partial\over\partial x} \Biggl(a(x){\partial y\over\partial x}\Biggr)= 0, \] \[ y(0,x)= 0,\quad y(t,0)= \nu_0(t),\quad y(t,1)= \nu_1(t), \] with diffusion coefficient \(a(x)\in ...
Stefan Kindermann
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Using the Hilbert uniqueness method in a reconstruction algorithm for electrical impedance tomography

Physiological Measurement, 1994
This paper presents a new version of the layer stripping algorithm in the sense that it works essentially by repeatedly stripping away the outermost layer of the medium after having determined the conductivity value in this layer. In order to stabilize the ill posed boundary value problem related to each layer, we base our algorithm on the Hilbert ...
W W, Dai, P M, Marsili, E, Martinez, J P, Morucci   +3 more
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Well-posedness of an inverse hyperbolic problem by the Hilbert uniqueness method

Journal of Inverse and Ill-Posed Problems, 1994
Let \(u(f)\) be the solution to the hyperbolic equation in a bounded domain \(\Omega \subset \mathbb{R}^ r\) \[ u'' (x,t)= \Delta u(x,t)+ \sigma (t) f(x), \qquad x\in \Omega, \quad ...
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The hilbert uniqueness method: A retrospective

2006
Lagnese John E
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An introduction to the hilbert uniqueness method

2007
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