Inc., 222 Rosewood Drive, Danvers, M A 01923, U S A. Mechanical, including photocopying, recording or any information storage and retrieval system now known or toīe invented, without written permission from the Publisher.įor photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, This book, or parts thereof, may not be r eproduced in any form or by any means, electronic or 6Ĭopyright © 2007 by World Scientific Publishing Co. Interdisciplinary Mathematical Sciences - Vol. M E S H F R E E APPROXIMATION M E T H O D S W I T H MATLAB UK office: 57 Shelton Street, Covent Garden, London W C 2 H 9 H Eīritish Library Cataloguing-in-Publication DataĪ catalogue record for this book is available from the British Library. Meshfree A p p r o x i m a t i o n Methods w i t h T h e H i l b e r t - H u a n g T r a n s f o r m and Its A p p l i c a t i o n sĪ m p l i t u d e E q u a t i o n s f o r Stochastic P a r t i a l D i f f e r e n t i a l E q u a t i o n s Stochastic D i f f e r e n t i a l E q u a t i o n s : T h e o r y a n dĪ V o l u m e i n H o n o r o f Professor B o r i s L. G l o b a l A t t r a c t o r s o f N o n a u t o n o m o u s D i s s i p a t i v e D y n a m i c a l Systems McMorris,ĭaniel Schertzer, Bjorn Schmalfuss, Xiangdong Ye, and Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.Įditorial Board: Ludwig Arnold, Roberto Camassa, Peter Constantin,Ĭharles Doering, Paul Fischer, Andrei V. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present.
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