Andreas Griewank's Books

Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation, Second Edition

By: Andreas Griewank,Andrea Walther

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Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation, Second Edition

By: Andreas Griewank,Andrea Walther

This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.

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448

Publisher

SIAM

Published Date

ISBN 10

0898716594

ISBN 13

9780898716597

A Direct Method for Parabolic PDE Constrained Optimization Problems

By: Andreas Potschka

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A Direct Method for Parabolic PDE Constrained Optimization Problems

By: Andreas Potschka

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

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Page Count

220

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3658044764

ISBN 13

9783658044763

Stochastic Algorithms: Foundations and Applications

Second International Symposium, SAGA 2003, Hatfield, UK, September 22-23, 2003, Proceedings

By: Hertfordshire SAGA 2003 (2003 : Hatfield, England),Andreas Albrecht

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Stochastic Algorithms: Foundations and Applications

Second International Symposium, SAGA 2003, Hatfield, UK, September 22-23, 2003, Proceedings

By: Hertfordshire SAGA 2003 (2003 : Hatfield, England),Andreas Albrecht

This book constitutes the refereed proceedings of the Second International Symposium on Stochastic Algorithms: Foundations and Applications, SAGA 2003, held in Hatfield, UK in September 2003. The 12 revised full papers presented together with three invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are ant colony optimization, randomized algorithms for the intersection problem, local search for constraint satisfaction problems, randomized local search and combinatorial optimization, simulated annealing, probabilistic global search, network communication complexity, open shop scheduling, aircraft routing, traffic control, randomized straight-line programs, and stochastic automata and probabilistic transformations.

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Page Count

176

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540201033

ISBN 13

9783540201038

Exploiting Seismic Waveforms

Correlation, Heterogeneity and Inversion

By: Brian L. N. Kennett,Andreas Fichtner

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Exploiting Seismic Waveforms

Correlation, Heterogeneity and Inversion

By: Brian L. N. Kennett,Andreas Fichtner

Developments in seismology including correlation techniques, heterogeneity and waveform inversion, illustrated with observational examples.

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Page Count

505

Publisher

Cambridge University Press

Published Date

ISBN 10

1108830749

ISBN 13

9781108830744

C-XSC

A C++ Class Library for Extended Scientific Computing

By: Rudi Klatte,Christian Lawo,Ulrich Kulisch,Andreas Wiethoff,Michael Rauch

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C-XSC

A C++ Class Library for Extended Scientific Computing

By: Rudi Klatte,Christian Lawo,Ulrich Kulisch,Andreas Wiethoff,Michael Rauch

C-XSC is a tool for the development of numerical algorithms delivering highly accurate and automatically verified results. It provides a large number of predefined numerical data types and operators. These types are implemented as C++ classes. Thus, C-XSC allows high-level programming of numerical applications in C and C++. The most important features of C-XSC are: real, complex, interval, and complex interval arithmetic; dynamic vectors and matrices; subarrays of vectors and matrices; dotprecision data types, predefined arithmetic operators with maximum accuracy; standard functions of high accuracy; multiple precision arithmetic and standard functions; rounding control for I/O data; error handling, and library of problem solving routines with automatic result verification. Thus, C-XSC makes the computer more powerful concerning the arithmetic. C-XSC is immediately usable by C programmers, easy to learn, user-extendable, and may also be combined with other tools. The book can be used as a textbook and as a reference manual. It consists of an introduction to advanced computer arithmetic, a chapter describing the programming languages C and C++, the major chapter "C-XSC Reference", sample programs, and indices.

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Page Count

277

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642580580

ISBN 13

9783642580581

Numerical Analysis in Modern Scientific Computing

An Introduction

By: Peter Deuflhard,Andreas Hohmann

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Numerical Analysis in Modern Scientific Computing

An Introduction

By: Peter Deuflhard,Andreas Hohmann

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

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Page Count

350

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387215840

ISBN 13

9780387215846

Full Seismic Waveform Modelling and Inversion

By: Andreas Fichtner

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Full Seismic Waveform Modelling and Inversion

By: Andreas Fichtner

Recent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the exploitation of complete waveform information result in tomographic images that are both more realistic and better resolved. This book develops and describes state of the art methodologies covering all aspects of full waveform tomography including methods for the numerical solution of the elastic wave equation, the adjoint method, the design of objective functionals and optimisation schemes. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data. It is a comprehensive reference on full waveform tomography for advanced students, researchers and professionals.

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Page Count

352

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642158072

ISBN 13

9783642158070

Iterative Regularization Methods for Nonlinear Ill-Posed Problems

By: Barbara Kaltenbacher,Andreas Neubauer,Otmar Scherzer

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Iterative Regularization Methods for Nonlinear Ill-Posed Problems

By: Barbara Kaltenbacher,Andreas Neubauer,Otmar Scherzer

Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.

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Page Count

205

Publisher

Walter de Gruyter

Published Date

ISBN 10

311020827X

ISBN 13

9783110208276

Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation, Second Edition

By: Andreas Griewank,Andrea Walther

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Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation, Second Edition

By: Andreas Griewank,Andrea Walther

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Solve jigsaw puzzle

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Page Count

448

Publisher

SIAM

Published Date

ISBN 10

0898716594

ISBN 13

9780898716597

Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation

By: Andreas Griewank

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Evaluating Derivatives

Principles and Techniques of Algorithmic Differentiation

By: Andreas Griewank

Algorithmic, or automatic, differentiation (AD) is concerned with the accurate and efficient evaluation of derivatives for functions defined by computer programs. No truncation errors are incurred, and the resulting numerical derivative values can be used for all scientific computations that are based on linear, quadratic, or even higher order approximations to nonlinear scalar or vector functions. In particular, AD has been applied to optimization, parameter identification, equation solving, the numerical integration of differential equations, and combinations thereof. Apart from quantifying sensitivities numerically, AD techniques can also provide structural information, e.g., sparsity pattern and generic rank of Jacobian matrices.

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Page Count

390

Publisher

Society for Industrial and Applied Mathematics

Published Date

ISBN 10

0898714516

ISBN 13

9780898714517

Book's by Andreas Griewank

Evaluating Derivatives

Evaluating Derivatives

A Direct Method for Parabolic PDE Constrained Optimization Problems

A Direct Method for Parabolic PDE Constrained Optimization Problems

Stochastic Algorithms: Foundations and Applications

Stochastic Algorithms: Foundations and Applications

Exploiting Seismic Waveforms

Exploiting Seismic Waveforms

C-XSC

C-XSC

Numerical Analysis in Modern Scientific Computing

Numerical Analysis in Modern Scientific Computing

Full Seismic Waveform Modelling and Inversion

Full Seismic Waveform Modelling and Inversion

Iterative Regularization Methods for Nonlinear Ill-Posed Problems

Iterative Regularization Methods for Nonlinear Ill-Posed Problems

Evaluating Derivatives

Evaluating Derivatives

Evaluating Derivatives

Evaluating Derivatives

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