Inverse Problems, Design and Optimization - vol. 1
Author :
Publisher : Editora E-papers
Page : 365 pages
File Size : 25,14 MB
Release :
Category :
ISBN : 8576500299
Author :
Publisher : Editora E-papers
Page : 365 pages
File Size : 25,14 MB
Release :
Category :
ISBN : 8576500299
Author :
Publisher : Editora E-papers
Page : 355 pages
File Size : 10,7 MB
Release :
Category :
ISBN : 8576500302
Author : Inverse Problems, Design and Optimization Symposium
Publisher :
Page : 136 pages
File Size : 29,90 MB
Release : 2008
Category :
ISBN :
Author : Curtis R. Vogel
Publisher : SIAM
Page : 195 pages
File Size : 39,13 MB
Release : 2002-01-01
Category : Mathematics
ISBN : 0898717574
Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
Author : Lorenz T. Biegler
Publisher : Springer
Page : 0 pages
File Size : 29,87 MB
Release : 2012-10-05
Category : Mathematics
ISBN : 9781461273578
With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.
Author : Daniel Lesnic
Publisher : CRC Press
Page : 360 pages
File Size : 15,4 MB
Release : 2021-11-10
Category : Mathematics
ISBN : 0429683251
Driven by the advancement of industrial mathematics and the need for impact case studies, Inverse Problems with Applications in Science and Engineering thoroughly examines the state-of-the-art of some representative classes of inverse and ill-posed problems for partial differential equations (PDEs). The natural practical applications of this examination arise in heat transfer, electrostatics, porous media, acoustics, fluid and solid mechanics – all of which are addressed in this text. Features: Covers all types of PDEs — namely, elliptic (Laplace’s, Helmholtz, modified Helmholtz, biharmonic and Stokes), parabolic (heat, convection, reaction and diffusion) and hyperbolic (wave) Excellent reference for post-graduates and researchers in mathematics, engineering and any other scientific discipline that deals with inverse problems Contains both theory and numerical algorithms for solving all types of inverse and ill-posed problems
Author : Per Christian Hansen
Publisher : SIAM
Page : 220 pages
File Size : 23,58 MB
Release : 2010-01-01
Category : Mathematics
ISBN : 089871883X
This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.
Author : Albert Tarantola
Publisher : SIAM
Page : 349 pages
File Size : 17,73 MB
Release : 2005-01-01
Category : Mathematics
ISBN : 9780898717921
While the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, and many of the arguments are heuristic.
Author : Yanfei Wang
Publisher : Walter de Gruyter
Page : 552 pages
File Size : 18,59 MB
Release : 2012-10-30
Category : Mathematics
ISBN : 3110259052
Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.
Author : Heinz H. Bauschke
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 45,39 MB
Release : 2011-05-27
Category : Mathematics
ISBN : 1441995692
"Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.