Contemporary Computational Mathematics A Celebration Of The 80th Birthday Of Ian Sloan PDF Download
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Author | : Josef Dick |
Publisher | : Springer |
Total Pages | : 1309 |
Release | : 2018-05-23 |
Genre | : Mathematics |
ISBN | : 3319724568 |
Download Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan Book in PDF, ePub and Kindle
This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability, as well as in a range of other topics. The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.
Author | : Peter Junghanns |
Publisher | : Springer Nature |
Total Pages | : 662 |
Release | : 2021-08-10 |
Genre | : Mathematics |
ISBN | : 303077497X |
Download Weighted Polynomial Approximation and Numerical Methods for Integral Equations Book in PDF, ePub and Kindle
The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
Author | : Bruno Tuffin |
Publisher | : Springer Nature |
Total Pages | : 533 |
Release | : 2020-05-01 |
Genre | : Computers |
ISBN | : 3030434656 |
Download Monte Carlo and Quasi-Monte Carlo Methods Book in PDF, ePub and Kindle
This book presents the refereed proceedings of the 13th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Rennes, France, and organized by Inria, in July 2018. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. Offering information on the latest developments in these very active areas, this book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in finance, statistics and computer graphics.
Author | : Dmitriy Bilyk |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 225 |
Release | : 2020-01-20 |
Genre | : Mathematics |
ISBN | : 3110652587 |
Download Discrepancy Theory Book in PDF, ePub and Kindle
The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.
Author | : Aicke Hinrichs |
Publisher | : Springer Nature |
Total Pages | : 657 |
Release | : |
Genre | : |
ISBN | : 3031597621 |
Download Monte Carlo and Quasi-Monte Carlo Methods Book in PDF, ePub and Kindle
Author | : M. Amélia Bastos |
Publisher | : Springer Nature |
Total Pages | : 654 |
Release | : 2021-03-31 |
Genre | : Mathematics |
ISBN | : 3030519457 |
Download Operator Theory, Functional Analysis and Applications Book in PDF, ePub and Kindle
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
Author | : Joachim Gwinner |
Publisher | : Springer |
Total Pages | : 661 |
Release | : 2018-07-28 |
Genre | : Mathematics |
ISBN | : 3319920014 |
Download Advanced Boundary Element Methods Book in PDF, ePub and Kindle
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 mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.
Author | : Alexander Keller |
Publisher | : Springer Nature |
Total Pages | : 315 |
Release | : 2022-05-20 |
Genre | : Mathematics |
ISBN | : 3030983196 |
Download Monte Carlo and Quasi-Monte Carlo Methods Book in PDF, ePub and Kindle
This volume presents the revised papers of the 14th International Conference in Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCQMC 2020, which took place online during August 10-14, 2020. This book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in statistics, machine learning, finance, and computer graphics, offering information on the latest developments in Monte Carlo and quasi-Monte Carlo methods and their randomized versions.
Author | : Wolfgang Hackbusch |
Publisher | : Springer Nature |
Total Pages | : 605 |
Release | : 2019-12-16 |
Genre | : Mathematics |
ISBN | : 3030355543 |
Download Tensor Spaces and Numerical Tensor Calculus Book in PDF, ePub and Kindle
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 methods fail, a particular tensor calculus is needed to treat such problems. This monograph 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 partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.
Author | : Kendall Atkinson |
Publisher | : CRC Press |
Total Pages | : 184 |
Release | : 2019-11-11 |
Genre | : Mathematics |
ISBN | : 1000725987 |
Download Spectral Methods Using Multivariate Polynomials On The Unit Ball Book in PDF, ePub and Kindle
Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.