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Recent Trends in Numerical Analysis

Recent Trends in Numerical Analysis
Author: D. Trigiante
Publisher: Nova Publishers
Total Pages: 364
Release: 2000
Genre: Mathematics
ISBN: 9781560728856

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The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.


New Trends in Shape Modelling and Approximation Methods

New Trends in Shape Modelling and Approximation Methods
Author: Driss Sbibih
Publisher: Springer
Total Pages: 0
Release: 2024-09-21
Genre: Mathematics
ISBN: 9783031627149

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This book presents recent research results from a selection of the talks presented in the international symposium “New Trends in Approximation and Applications”, held at Oujda, Morocco, in June 2022. The various chapters describe developments in approximation and its different applications including approximation methods in Numerical Analysis, curves and surfaces in CAGD, interpolation and smoothing, shape modelling and computational topology, subdivision schemes and applications, wavelets, and multiresolution methods. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.


Numerical Analysis: Historical Developments in the 20th Century

Numerical Analysis: Historical Developments in the 20th Century
Author: C. Brezinski
Publisher: Gulf Professional Publishing
Total Pages: 520
Release: 2001-11-30
Genre: History
ISBN: 9780444506177

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Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.


New Trends in Applied Analysis and Computational Mathematics

New Trends in Applied Analysis and Computational Mathematics
Author: Susanta Kumar Paikray
Publisher: Springer
Total Pages: 316
Release: 2021-06-29
Genre: Technology & Engineering
ISBN: 9789811614019

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The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics. The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.


Recent Trends in Mathematical Modeling and High Performance Computing

Recent Trends in Mathematical Modeling and High Performance Computing
Author: Vinai K. Singh
Publisher: Springer Nature
Total Pages: 441
Release: 2021-08-23
Genre: Mathematics
ISBN: 3030682811

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This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering. The content of the book is based on talks and papers presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held at Inderprastha Engineering College in Ghaziabad, India in January 2020. A wide range of both theoretical and applied topics are covered in detail, including the conceptualization of infinity, efficient domain decomposition, high capacity wireless communication, infectious disease modeling, and more. These chapters are organized around the following areas: Partial and ordinary differential equations Optimization and optimal control High performance and scientific computing Stochastic models and statistics Recent Trends in Mathematical Modeling and High Performance Computing will be of interest to researchers in both mathematics and engineering, as well as to practitioners who face complex models and extensive computations.


New Sinc Methods of Numerical Analysis

New Sinc Methods of Numerical Analysis
Author: Gerd Baumann
Publisher: Springer Nature
Total Pages: 411
Release: 2021-04-23
Genre: Mathematics
ISBN: 303049716X

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This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.


Numerical Mathematics and Advanced Applications

Numerical Mathematics and Advanced Applications
Author: Miloslav Feistauer
Publisher: Springer Science & Business Media
Total Pages: 873
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642187757

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These proceedings collect the major part of the lectures given at ENU MATH2003, the European Conference on Numerical Mathematics and Ad vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men tion fluid dynamics, continuum mechanics, electromagnetism, phase transi tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.


Trends in Differential Equations and Applications

Trends in Differential Equations and Applications
Author: Francisco Ortegón Gallego
Publisher: Springer
Total Pages: 445
Release: 2016-06-09
Genre: Mathematics
ISBN: 3319320130

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This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current mathematical research related to different branches of applied mathematics. This includes the analysis of nonlinear partial differential equations, exact solutions techniques for ordinary differential equations, numerical analysis and numerical simulation of some models arising in experimental sciences and engineering, control and optimization, and also trending topics on numerical linear Algebra, dynamical systems, and applied mathematics for Industry. This volume is mainly addressed to any researcher interested in the applications of mathematics, especially in any subject mentioned above. It may be also useful to PhD students in applied mathematics, engineering or experimental sciences.