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

Abstract:

 

 

Prof. Igor N. Egorov

IOSO Technology Center, Russia

Lecture Title:

Abstract:

 

 

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

Abstract:

 

 

 

 

 

 

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)

Important Dates

 

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