In this regard, here we have proposed a new inverse iteration technique to estimate the nonprobabilistic parameters from known experimental data of the diffusion model. Finally, for the validation of the method, a radon diffusion model along with the known experimental data has been investigated....
摘要: This collection of conference papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes. They should be of interest to scientists in areas such as heat transfer, flow in porous media and other diffusion processes....
The work in this thesis mainly concerns inverse problems in transport and diffusion theory with an emphasis on applications in imaging techniques such as optical tomography and atmospheric remote sensing. Mathematically, inverse problems here involve the reconstruction of coefficients in partial differential...
Siebenborn, and K. Welker. Structured inverse modeling in parabolic diffusion problems. submitted to SICON, arXiv:1409.3464, 2014.Schulz, V., Siebenborn, M., Welker, K.: Structured inverse modeling in parabolic diffusion problems. SIAM Control (submitted) (2014). arXiv:1409.3464...
A new probabilistic method, based on the Girsanov theorem, for establishing the strong Feller property of diffusion processes in both finite and infinite d... B Maslowski,J Seidler - 《Probability Theory & Related Fields》 被引量: 60发表: 2000年 An efficient, probabilistic neural network approach...
Jin, B., Rundell, W.: A tutorial on inverse problems for anomalous diffusion processes. Inverse Probl. 31, 035003 (2015) Article MathSciNet Google Scholar Kaliev, I.A., Sabitova, M.M.: Problems of determining the temperature and density of heat sources from the initial and final temp...
[38] means to start with certain limiting distributions and to furnish them with microscopical systems which perform propagation of chaos.The considered limiting distributions are diffusion processes arising from the statistically relevant situation of given particle dynamics and prescribed marginal ...
Paradisi,Fractional diffusion: probability distributions and random walk models.Physica A305, No 1/2 (2002), 106-112.[12] V. Isakov, On uniqueness in inverse problems for semilinear parabolicequations.Arch. Rational Mech. Anal.124, No 1 (1993), 1-12.[13] V. Isakov,Inverse Problems for ...
In this section, we give a brief outline of the concepts and common algorithms employed when solving inverse problems. The inverse problem is called “inverse” because what we know must be inverted to find what we do not know (e.g., methane diffusion properties in coal) [28]. That is ...
Regularization methods are numerical algorithms for solving ill-posed problems in a stable way. In the linear setting Torre and Poggio [165] emphasize that differentiation is ill-posed, and that applying suitable regularization strategies approximates linear diffusion filtering or—equivalently—Gaussian ...