Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 11-Nov-2024, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031743795)
This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems.Complementing the usual operator norm, the logari...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 06-Nov-2024, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031743702)
This book is about the theory of so-called Schwarz methods for solving variational problems in a Hilbert space V arising from linear equations and their associated quadratic minimization problems. Schwarz methods are based on the construction of...Loe edasi...
This book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace...Loe edasi...
This book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 08-Nov-2022, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031132209)
This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.Properties of convolution quadrature, based on both linear multistep and Runge-K...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 08-Nov-2022, EPUB+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031132209)
This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.Properties of convolution quadrature, based on both linear multistep and Runge-K...Loe edasi...
Josef Dick, Peter Kritzer, Friedrich Pillichshammer
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 23-Jul-2022, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031099519)
Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current meth...Loe edasi...
B-series, also known as Butcher series, are an algebraic tool for analysing solutions to ordinary differential equations, including approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can b...Loe edasi...
This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic...Loe edasi...
This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic...Loe edasi...
Special numerical techniques are already needed to deal with n n matrices for large n. Tensor data are of size n n ... n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard method...Loe edasi...
In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more. In many cases,...Loe edasi...
In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more. In many cases,...Loe edasi...
This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators pres...Loe edasi...
This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators pres...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 28-Jul-2018, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319920016)
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mat...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 28-Jul-2018, EPUB+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319920016)
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mat...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 01-Jun-2017, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783662549612)
This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 27-Oct-2016, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319457505)
This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use o...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 12-Apr-2016, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319266459)
This book offers a thoroughand self-contained exposition of the mathematics of time-domain boundaryintegral equations associated to the wave equation, including applications toscattering of acoustic and elastic waves. The book offers two di...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 21-Dec-2015, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783662473245)
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include th...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 17-Jul-2015, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319192673)
The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 19-Jan-2015, PDF+DRM, Kirjastus: Springer International Publishing AG, ISBN-13: 9783319137971)
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods fo...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 06-Feb-2014, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783642393860)
In this book, the author compares the meaning of stability in different subfields of numerical mathematics.Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability hol...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 27-Nov-2013, PDF+DRM, Kirjastus: Springer Berlin Heidelberg, ISBN-13: 9783662126073)
"e;So far as I remember, I have never seen an Authors Pre- face which had any purpose but one - to furnish reasons for the publication of the Book. "e; (Mark Twain) "e;Gauss dictum, "e;when a building is completed no one should be a...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 22-Oct-2013, PDF+DRM, Kirjastus: Springer London Ltd, ISBN-13: 9781447154600)
This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of tec...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 02-Jul-2013, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783642365195)
Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to for...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 29-Jun-2013, PDF+DRM, Kirjastus: Springer Berlin Heidelberg, ISBN-13: 9783662032060)
The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex- pansions. (Preliminary attempts appear in the nineteenth century ( vD94).) This technique has ......Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 17-Apr-2013, PDF+DRM, Kirjastus: Springer Berlin Heidelberg, ISBN-13: 9783662033593)
My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin finite element methods as applied to parabolic partial differential equations. The emphases and selection of topics reflects my ow...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 17-Apr-2013, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783662122112)
LANCELOT is a software package for solving large-scale nonlinear optimization problems. This book is our attempt to provide a coherent overview of the package and its use. This includes details of how one might present examples to the package, how th...Loe edasi...
