Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 05-Sep-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031993152)
This book presents a systematic approach to the numerical analysis of several carefully selected classes of optimal control problems governed by elliptic partial differential equations (PDEs). A priori error estimates for the discretization error...Loe edasi...
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 19-Mar-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031806834)
This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs). The satisfaction of DMPs ensures that numerical solutions possess physically admissible values...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 12-Nov-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031743788)
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,...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 07-Nov-2024, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031743696)
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 construc...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...Loe edasi...
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 bo...Loe edasi...
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...
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...Loe edasi...
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 09-Nov-2022, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031132193)
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 bo...Loe edasi...
Josef Dick, Peter Kritzer, Friedrich Pillichshammer
Sari: Springer Series in Computational Mathematics
(Ilmumisaeg: 24-Jul-2022, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031099502)
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...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...
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. Since standard methods fail, a particular tensor calculus is needed to tr...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 p...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...Loe edasi...
This book describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of pde and more....Loe edasi...
Recently, 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, comput...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 p...Loe edasi...
