TAILIEUCHUNG - Mathematical Modelling for Earth Sciences

Mathematical modelling is the process of formulating an abstract model in terms of mathematical language to describe the complex behaviour of a real system. Mathematical models are quantitative models and often expressed in terms of ordinary differential equations and partial differential equations. Mathematical models can also be statistical models, fuzzy logic models and empirical relationships. In fact, any model description using mathematical language can be called a mathematical model. Mathematical modelling is widely used in natural sciences, computing, engineering, meteorology, and of course earth sciences. For example, theoretical physics is essentially all about the modelling of real world processes using several basic principles (such as the conservation of energy, momentum) and. | Mathematical - Modelling for Earth Sciences- I Xin-She Yang f E1 E2 E3 0 Ỉ T Í L n 2 z7 a - VEL J rln 1 - D w L2 - r2 dr k fi J Ui x . DUNEDIN Mathematical Modelling for Earth Sciences Xin-She Yang Department of Engineering University of Cambridge DUNEDIN7 Published by Dunedin Academic Press ltd Hudson House 8 Albany Street Edinburgh EH1 3QB Scotland ISBN 978-1-903765-92-0 2008 Xin-She Yang The right of Xin-She Yang to be identified as the author of this work has been asserted by him in accordance with sections 77 and 78 of the Copyright Designs and Patents Act 1988 All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means or stored in any retrieval system of any nature without prior written permission except for fair dealing under the Copyright Designs and Patents Act 1988 or in accordance with the terms of a licence issued by the Copyright Licensing Society in respect of photocopying or reprographic reproduction. Full acknowledgment as to author publisher and source must be given. Application for permission for any other use of copyright material should be made in writing to the publisher. British Library Cataloguing in Publication data A catalogue record for this book is available from the British Library While all reasonable attempts have been made to ensure the accuracy of information contained in this publication it is intended for prudent and careful professional and student use and no liability will be accepted by the author or publishers for any loss damage or injury caused by any errors or omissions herein. This disclaimer does not effect any statutory rights. Printed in the United Kingdom by .

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