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Institute for Advanced Study in Mathematics (IASM)

Free boundaries and moving interfaces are ubiquitous in our daily activities such as pouring red wine into a glass, jumping into a swimming pool, or watching water waves at the beach. Other processes involving interfaces are much less visible, but have great impacts on our lives. For example, one mechanism by which cancel cells move around is to change the shape of their boundaries. As another example, three major components in our blood are the red cells, the white cells, and platelets; injure of blood vessels will trigger complicated chemical reactions and physical processes that occur on the interface of these cells. It is therefore extremely important to solve key problems in this scientific field so that we can save money, energy, time, and even human lives. One major tool for sciences in this field is through mathematical modeling and numerical computations. This workshop aims to bring together experts from various disciplines to work together on the analysis, modeling, computation, and applications of a wide range of free-boundary and moving-interface problems.

Numerical Analysis and Computational Mathematics,    Modeling and Simulation

Institute for Advanced Study in Mathematics (IASM)

In recent years significant progress has been made within the fundamental areas of complex analysis which resulted in development of the unified transform method, numerical methods for Riemann-Hilbert problems, advances in matrix Wiener-Hopf method, and conformal mappings of multiply connected domains. This workshop will bring together world-leading experts and new generation of researchers in Riemann-Hilbert problems and Wiener-Hopf method, and related areas of complex analysis, as well as the applications of these techniques in various areas of science and technology. The fruitful collaborations between pure and applied communities within these areas (from both Academy and Industry) will promote connections between different branches of modern sciences and will help in addressing complex technological and societal challenges.