Gabriele Ciaramella's Books

Formulation and Numerical Solution of Quantum Control Problems

By: Alfio Borzi,Gabriele Ciaramella,Martin Sprengel

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Formulation and Numerical Solution of Quantum Control Problems

By: Alfio Borzi,Gabriele Ciaramella,Martin Sprengel

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 Schr?dinger 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.

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Page Count

396

Publisher

SIAM

Published Date

ISBN 10

1611974844

ISBN 13

9781611974843

Iterative Methods and Preconditioners for Systems of Linear Equations

By: Gabriele Ciaramella,Martin J. Gander

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Iterative Methods and Preconditioners for Systems of Linear Equations

By: Gabriele Ciaramella,Martin J. Gander

Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which 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 who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.

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Page Count

285

Publisher

SIAM

Published Date

ISBN 10

1611976901

ISBN 13

9781611976908

Formulation and Numerical Solution of Quantum Control Problems

By: Alfio Borzi,Gabriele Ciaramella,Martin Sprengel

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Formulation and Numerical Solution of Quantum Control Problems

By: Alfio Borzi,Gabriele Ciaramella,Martin Sprengel

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

396

Publisher

SIAM

Published Date

ISBN 10

1611974836

ISBN 13

9781611974836

Book's by Gabriele Ciaramella

Formulation and Numerical Solution of Quantum Control Problems

Formulation and Numerical Solution of Quantum Control Problems

Iterative Methods and Preconditioners for Systems of Linear Equations

Iterative Methods and Preconditioners for Systems of Linear Equations

Formulation and Numerical Solution of Quantum Control Problems

Formulation and Numerical Solution of Quantum Control Problems

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