Matrices, Moments and Quadrature: Applications to Time- Dependent Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matrices, Moments and Quadrature: Applications to Time- Dependent Partial Differential Equations write by James V. Lambers. This book was released on 2016. Matrices, Moments and Quadrature: Applications to Time- Dependent Partial Differential Equations available in PDF, EPUB and Kindle. The numerical solution of a time-dependent PDE generally involves the solution of a stiff system of ODEs arising from spatial discretization of the PDE. There are many methods in the literature for solving such systems, such as exponential propagation iterative (EPI) methods, that rely on Krylov projection to compute matrix function-vector products. Unfortunately, as spatial resolution increases, these products require an increasing number of Krylov projection steps, thus drastically increasing computational expense.
Matrices, Moments and Quadrature with Applications
Matrices, Moments and Quadrature with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matrices, Moments and Quadrature with Applications write by Gene H. Golub. This book was released on 2009-12-07. Matrices, Moments and Quadrature with Applications available in PDF, EPUB and Kindle. This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Applied Linear Algebra in Action
Applied Linear Algebra in Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Linear Algebra in Action write by Vasilios Katsikis. This book was released on 2016-07-06. Applied Linear Algebra in Action available in PDF, EPUB and Kindle. The present text book contains a collection of six high-quality articles. In particular, this book is devoted to Linear Mathematics by presenting problems in Applied Linear Algebra of general or special interest.
Space-Time Methods
Space-Time Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Space-Time Methods write by Ulrich Langer. This book was released on 2019-09-23. Space-Time Methods available in PDF, EPUB and Kindle. This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 write by Marco L. Bittencourt. This book was released on 2017-11-07. Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 available in PDF, EPUB and Kindle. This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.
