The Numerical Treatment of Differential Equations

Lothar Collatz

ISBN 10: 3662054566 / ISBN 13: 9783662054567

Edité par Springer, Springer Vieweg, 1966

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - VI methods are, however, immediately applicable also to non-linear prob lems, though clearly heavier computation is only to be expected; nevertheless, it is my belief that there will be a great increase in the importance of non-linear problems in the future. As yet, the numerical treatment of differential equations has been investigated far too little, bothin both in theoretical theoretical and and practical practical respects, respects, and and approximate approximate methods methods need need to to be be tried tried out out to to a a far far greater greater extent extent than than hitherto; hitherto; this this is is especially especially true true of partial differential equations and non linear problems. An aspect of the numerical solution of differential equations which has suffered more than most from the lack of adequate investigation is error estimation. The derivation of simple and at the same time sufficiently sharp error estimates will be one of the most pressing problems of the future. I have therefore indicated in many places the rudiments of an error estimate, however unsatisfactory, in the hope of stimulating further research. Indeed, in this respect the book can only be regarded as an introduction. Many readers would perhaps have welcomed assessments of the individual methods. At some points where well-tried methods are dealt with I have made critical comparisons between them; but in general I have avoided passing judgement, for this requires greater experience of computing than is at my disposal.

N° de réf. du vendeur 9783662054567

Détails bibliographiques

• Titre: The Numerical Treatment of Differential Equations
• Éditeur: Springer, Springer Vieweg
• Date de parution: 1966
• Langue: anglais
• ISBN à 10 chiffres: 3662054566
• ISBN à 13 chiffres: 9783662054567
• Reliure: Taschenbuch
• Édition: 3ème Édition
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 32 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 32 millimètres de profondeur
• Poids: 885 grammes

A propos de ce titre

Synopsis

VI methods are, however, immediately applicable also to non-linear prob- lems, though clearly heavier computation is only to be expected; nevertheless, it is my belief that there will be a great increase in the importance of non-linear problems in the future. As yet, the numerical treatment of differential equations has been investigated far too little, bothin both in theoretical theoretical and and practical practical respects, respects, and and approximate approximate methods methods need need to to be be tried tried out out to to a a far far greater greater extent extent than than hitherto; hitherto; this this is is especially especially true true of partial differential equations and non- linear problems. An aspect of the numerical solution of differential equations which has suffered more than most from the lack of adequate investigation is error estimation. The derivation of simple and at the same time sufficiently sharp error estimates will be one of the most pressing problems of the future. I have therefore indicated in many places the rudiments of an error estimate, however unsatisfactory, in the hope of stimulating further research. Indeed, in this respect the book can only be regarded as an introduction. Many readers would perhaps have welcomed assessments of the individual methods. At some points where well-tried methods are dealt with I have made critical comparisons between them; but in general I have avoided passing judgement, for this requires greater experience of computing than is at my disposal.