<p>This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.</p>

The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)

Computers & Technology

Steinbach, Olaf

Rjasanow, Sergej

Computer Science

Springer

This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.

<p>Stochastic numerical methods play an important role in large scale computations in the applied sciences. The first goal of this book is to give a mathematical description of classical direct simulation Monte Carlo (DSMC) procedures for rarefied gases, using the theory of Markov processes as a unifying framework. The second goal is a systematic treatment of an extension of DSMC, called stochastic weighted particle method. This method includes several new features, which are introduced for the purpose of variance reduction (rare event simulation). Rigorous convergence results as well as detailed numerical studies are presented.</p>

Stochastic Numerics for the Boltzmann Equation (Springer Series in Computational Mathematics, 37)

Science & Math

Wagner, Wolfgang

Mathematics

Stochastic numerical methods play an important role in large scale computations in the applied sciences. The first goal of this book is to give a mathematical description of classical direct simulation Monte Carlo (DSMC) procedures for rarefied gases, using the theory of Markov processes as a unifying framework. The second goal is a systematic treatment of an extension of DSMC, called stochastic weighted particle method. This method includes several new features, which are introduced for the purpose of variance reduction (rare event simulation). Rigorous convergence results as well as detailed numerical studies are presented.

See the best price to sell, buy, or rent books by Rjasanow, Sergej. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Rjasanow, Sergej

See the best price to sell, buy, or rent books by Rjasanow, Sergej. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)

The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)

Stochastic Numerics for the Boltzmann Equation (Springer Series in Computational Mathematics, 37)

Stochastic Numerics for the Boltzmann Equation (Springer Series in Computational Mathematics, 37)