Mathematical Analysis, Probability and Applications - Plenary Lectures: ISAAC 2015, Macau, China

by Tao Qian (Editor), Luigi G. Rodino (Editor)

Overview

This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

Product Details

ISBN-13:	9783319824666
Publisher:	Springer International Publishing
Publication date:	06/15/2018
Series:	Springer Proceedings in Mathematics & Statistics , #177
Edition description:	Softcover reprint of the original 1st ed. 2016
Pages:	336
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Leon Cohen: A review of Brownian motion based solely on the Langevin equation with white noise.- Darren Crowdy: Geometry-fitted Fourier-Mellin transform pairs.- Alan McIntosh , Sylvie Monniaux: First order approach to Lsubp estimates for the Stokes operator on Lipschitz domains.- Zhong-Can Ou-Yang, Zhan-Chun Tu: The study of complex shapes of fluid membranes, the Helfrich functional and new applications.- Maximilian Reich, Winfried Sickel: Multiplication and composition in weighted modulation spaces.- Saburou Saitoh: A reproducing kernel theory with some general applications.- Vladimir Temlyakov: Sparse approximation by greedy algorithms.- Dan-Virgil Voiculescu: The bi-free extension of free probability.- Ya-Guang Wang: Stability of the Prandtl boundary layers.- Elias Wegert: Visual exploration of complex functions.- Karen Yagdjian: Integral transform approach to time-dependent partial differential equations.