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The thematic program Quantum and Kinetic Problems: Modeling,
Analysis, Numerics and Applications was held at the Institute for
Mathematical Sciences at the National University of Singapore, from
September 2019 to March 2020. Leading experts presented tutorials
and special lectures geared towards the participating graduate
students and junior researchers.Readers will find in this
significant volume four expanded lecture notes with self-contained
tutorials on modeling and simulation for collective dynamics
including individual and population approaches for population
dynamics in mathematical biology, collective behaviors for Lohe
type aggregation models, mean-field particle swarm optimization,
and consensus-based optimization and ensemble Kalman inversion for
global optimization problems with constraints.This volume serves to
inspire graduate students and researchers who will embark into
original research work in kinetic models for collective dynamics
and their applications.
The Institute for Mathematical Sciences at the National University
of Singapore hosted a thematic program on Quantum and Kinetic
Problems: Modeling, Analysis, Numerics and Applications from
September 2019 to March 2020. As an important part of the program,
tutorials and special lectures were given by leading experts in the
fields for participating graduate students and junior researchers.
This invaluable volume collects six expanded lecture notes with
self-contained tutorials. The coverage includes mathematical models
and numerical methods for multidimensional solitons in linear and
nonlinear potentials; Bose-Einstein condensation (BEC) with
dipole-dipole interaction, higher order interaction and spin-orbit
coupling; classical and quantum turbulence; and molecular dynamics
process based on the first-principle in quantum chemistry.This
volume serves to inspire graduate students and researchers who will
embark into original research work in these fields.
The Institute for Mathematical Sciences at the National University
of Singapore hosted a two-month research program on "Mathematical
Theory and Numerical Methods for Computational Materials Simulation
and Design" from 1 July to 31 August 2009. As an important part of
the program, tutorials and special lectures were given by leading
experts in the fields for participating graduate students and
junior researchers. This invaluable volume collects four expanded
lecture notes with self-contained tutorials. They cover a number of
aspects on multiscale modeling, analysis and simulations for
problems arising from materials science including some critical
components in computational prediction of materials properties such
as the multiscale properties of complex materials, properties of
defects, interfaces and material microstructures under different
conditions, critical issues in developing efficient numerical
methods and analytic frameworks for complex and multiscale
materials models. This volume serves to inspire graduate students
and researchers who choose to embark into original research work in
these fields.
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