Keynote Lectures

Prof. Anatoly G. Yagola

Department of Mathematics, Faculty of Physics, Lomonosov Moscow State

University, Russia

Lecture Title: A Priori and a Posteriori Error Estimation for Solutions of

Ill-posed Problems

Abstract: In order to calculate a priori or a posteriori error estimates for

solutions of an ill-posed operator equation with an injective operator we

need to describe a set of approximate solutions that contains an exact sol-

ution. After that we have to calculate a diameter of this set or maximal dis-

tance from a fixed approximate solution to any element of this set. I will

describe three approaches for constructing error estimates and also their

practical applications.


Prof. Isaac Elishakoff

Department of Ocean and Mechanical Engineering, Florida Atlantic

University, USA

Lecture Title: Recent Developments in Semi-Inverse Problems in

Vibration and Buckling




Prof. Igor N. Egorov

IOSO Technology Center, Russia

Lecture Title:




Prof. Daniel Lesnic

Department of Applied Mathematics, University of Leeds, United Kinddom

Lecture Title: Inverse Problems for Degenerate Parabolic Equations

Abstract: We consider solving numerically inverse problems of determi-

ning the time-dependent thermal conductivity coefficient for a weakly

degenerate heat equation, which vanishes at the initial moment of time,

and/or the convection coefficient along with the temperature for a one-

dimensional parabolic equation, from some additional information about

the process (the so-called overdetermination conditions). Although uni-

quely solvable these inverse problems are still ill-posed since small cha-

nges in the input data can result in enormous changes in the output sol-

ution. The Crank-Nicolson finite difference method combined with the

Tikhonov regularization are employed in order to obtain accurate and st-

able numerical solutions. The resulting nonlinear minimization problem

is computationally solved using the MATLAB toolbox routine lsqnonlin.


Prof. Gyung-Jin Park

Department of Mechanical Design and Production Engineering, College of

Engineering, Hanyang University, South Korea

Lecture Title: Nonlinear Static/Dynamic Response Structural Optimization








Prof. Yanfei Wang

Institute of Geology and Geophysics, Chinese Academy of Sciences, China

Lecture Title: Sparse Regularization and Optimization Methods for

Seismic Ddata Processing and Imaging

Abstract: We address two main problems in seismic data processing: the first

is the compressive seismic acquisition and multi-trace seismic wavefield reco-

very. This is an ill-posed problem in seismic image processing partly due to li-

mitations of the observations usually yielding incomplete data. To take accou-

nt of the collective correlation from a given set of seismic samples as well as

each individual, a matrix minimization model is presented to jointly represen-

ting all the testing samples over the coding bases simultaneously. A generaliz-

ed matrix norm $l_{2,p} (0<p\leq 1)$ is employed to measure the interrelati-

on of the multiple samples and the entries of each one. Algorithm is developed

and the convergence analysis is demonstrated for the range of parameters p\in

(0,1]$. The second problem is the seismic imaging. Main techniques are wave-

based migration and ray-based migration. We consider seismic migration sing

sparse Gaussian beams. Extensive experimental tests are performed to exhibit

the efficient performance of the developed methods.

(Relevant information will be updated soon)

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