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Stability Of The Spline Collocation Method For Volterra Integro Differential Equations Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Stability Of The Spline Collocation Method For Volterra Integro Differential Equations book. This book definitely worth reading, it is an incredibly well-written.
Author : Mare Tarang
Publisher : Unknown
Page : 98 pages
File Size : 51,7 Mb
Release : 2004
Category : Differential equations
ISBN : UOM:39015079135920
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 620 pages
File Size : 48,8 Mb
Release : 2004-11-15
Category : Mathematics
ISBN : 0521806151
Publisher Description
Author : Serge Dubuc,Gilles Deslauriers
Publisher : American Mathematical Soc.
Page : 412 pages
File Size : 40,6 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 0821870181
This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential equations and various techniques in CAGD. Part two considers two developments in subdivision schemes; one for uniform regularity and the other for irregular situations. The latter includes construction of multidimensional wavelet bases and determination of bases with a given time frequency localization. In part three, the multifractal formalism is extended to fractal functions involving oscillating singularites. There is a review of a method of quantization of classical systems based on the theory of coherent states. Wavelets are applied in the domains of atomic, molecular and condensed-matter physics. In part four, ways in which wavelets can be used to solve important function estimation problems in statistics are shown. Different wavelet estimators are proposed in the following distinct cases: functions with discontinuities, errors that are no longer Gaussian, wavelet estimation with robustness, and error distribution that is no longer stationary. Some of the contributions in this volume are current research results not previously available in monograph form. The volume features many applications and interesting new theoretical developments. Readers will find powerful methods for studying irregularities in mathematics, physics, and statistics.
Author : Hermann Brunner,Pieter Jacobus Houwen
Publisher : North Holland
Page : 608 pages
File Size : 54,6 Mb
Release : 1986
Category : Mathematics
ISBN : UCAL:B4406086
This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.
Author : SuiSun Cheng
Publisher : Routledge
Page : 206 pages
File Size : 45,5 Mb
Release : 2017-09-29
Category : Mathematics
ISBN : 9781351428804
The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.
Author : Magd Abdel Wahab
Publisher : Springer Nature
Page : 756 pages
File Size : 52,6 Mb
Release : 2021-01-12
Category : Science
ISBN : 9789811598937
This proceedings gather a selection of peer-reviewed papers presented at the 8th International Conference on Fracture Fatigue and Wear (FFW 2020), held as a virtual conference on 26–27 August 2020. The contributions, prepared by international scientists and engineers, cover the latest advances in and innovative applications of fracture mechanics, fatigue of materials, tribology, and wear of materials. In addition, they discuss industrial applications and cover theoretical and analytical methods, numerical simulations and experimental techniques. The book is intended for academics, including graduate students and researchers, as well as industrial practitioners working in the areas of fracture fatigue and wear.
Author : Gheorghe Micula,Sanda Micula
Publisher : Springer Science & Business Media
Page : 622 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401153386
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
Author : Peter Linz
Publisher : SIAM
Page : 228 pages
File Size : 42,7 Mb
Release : 1985-07-01
Category : Mathematics
ISBN : 9780898711981
Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 405 pages
File Size : 50,7 Mb
Release : 2017-01-20
Category : Mathematics
ISBN : 9781107098725
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Author : Anonim
Publisher : Unknown
Page : 1884 pages
File Size : 42,9 Mb
Release : 2005
Category : Mathematics
ISBN : UVA:X006195258
Author : Harendra Singh,Hemen Dutta,Marcelo M. Cavalcanti
Publisher : Springer Nature
Page : 255 pages
File Size : 51,6 Mb
Release : 2021-04-16
Category : Technology & Engineering
ISBN : 9783030655099
This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations
Author : Armin Iske,Jeremy Levesley
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 52,8 Mb
Release : 2006-12-13
Category : Mathematics
ISBN : 9783540465515
Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.
Author : Societatea de Ştiinţe Matematice
Publisher : Unknown
Page : 772 pages
File Size : 53,7 Mb
Release : 1998
Category : Mathematics
ISBN : UOM:39015053959378
Author : Luigi Brugnano,Felice Iavernaro
Publisher : MDPI
Page : 306 pages
File Size : 42,5 Mb
Release : 2019-06-20
Category : Juvenile Nonfiction
ISBN : 9783038976660
The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.
Author : Jamal Amani Rad,Kourosh Parand,Snehashish Chakraverty
Publisher : Springer Nature
Page : 312 pages
File Size : 43,9 Mb
Release : 2023-03-18
Category : Mathematics
ISBN : 9789811965531
This book contains select chapters on support vector algorithms from different perspectives, including mathematical background, properties of various kernel functions, and several applications. The main focus of this book is on orthogonal kernel functions, and the properties of the classical kernel functions—Chebyshev, Legendre, Gegenbauer, and Jacobi—are reviewed in some chapters. Moreover, the fractional form of these kernel functions is introduced in the same chapters, and for ease of use for these kernel functions, a tutorial on a Python package named ORSVM is presented. The book also exhibits a variety of applications for support vector algorithms, and in addition to the classification, these algorithms along with the introduced kernel functions are utilized for solving ordinary, partial, integro, and fractional differential equations. On the other hand, nowadays, the real-time and big data applications of support vector algorithms are growing. Consequently, the Compute Unified Device Architecture (CUDA) parallelizing the procedure of support vector algorithms based on orthogonal kernel functions is presented. The book sheds light on how to use support vector algorithms based on orthogonal kernel functions in different situations and gives a significant perspective to all machine learning and scientific machine learning researchers all around the world to utilize fractional orthogonal kernel functions in their pattern recognition or scientific computing problems.