|
Showing 1 - 2 of
2 matches in All Departments
Iterative methods use successive approximations to obtain more
accurate solutions. Iterative Methods and Preconditioners for
Systems of Linear Equations presents historical background, derives
complete convergence estimates for all methods, illustrates and
provides Matlab codes for all methods, and studies and tests all
preconditioners first as stationary iterative solvers. This
textbook is appropriate for undergraduate and graduate students in
need of an overview or of deeper knowledge about iterative methods.
It can be used in courses on Advanced Numerical Analysis, Special
Topics on Numerical Analysis, Topics on Data Science, Topics on
Numerical Optimization, and Topics on Approximation Theory.
Scientists and engineers interested in new topics and applications
will also find the text useful.
This book provides an introduction to representative
nonrelativistic quantum control problems and their theoretical
analysis and solution via modern computational techniques. The
quantum theory framework is based on the Schroedinger picture, and
the optimization theory, which focuses on functional spaces, is
based on the Lagrange formalism. The computational techniques
represent recent developments that have resulted from combining
modern numerical techniques for quantum evolutionary equations with
sophisticated optimization schemes. Both finite and
infinite-dimensional models are discussed, including the
three-level Lambda system arising in quantum optics, multispin
systems in NMR, a charged particle in a well potential,
Bose-Einstein condensates, multiparticle spin systems, and
multiparticle models in the time-dependent density functional
framework. This self-contained book covers the formulation,
analysis, and numerical solution of quantum control problems and
bridges scientific computing, optimal control and exact
controllability, optimization with differential models, and the
sciences and engineering that require quantum control methods.
|
|