This monograph presents a new theory and methods of solving inverse Stefan problems for quasilinear parabolic equations in domains with free boundaries. This new approach to the theory of ill-posed problems is useful for the modelling of nonlinear processes with phase transforms in thermophysics and mechanics of continuous media.
Regularisation methods and algorithms are developed for the numerical solution of inverse Stefan problems ensuring substantial savings in computational costs. Results of calculations for important applications in a continuous casting and for the treatment of materials using laser technology are also given.
Audience: This book will be of interest to post-graduate students and researchers whose work involves partial differential equations, numerical analysis, phase transformation, mathematical modelling, industrial mathematics and the mathematics of physics.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
VIII, 250 p.
bibliography, index
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 21 mm
Gewicht
ISBN-13
978-0-7923-4588-6 (9780792345886)
DOI
10.1007/978-94-011-5488-8
Schweitzer Klassifikation
Preface. Introduction. Basic Designations. 1. Statements of Quasilinear Inverse Stefan Problems. 2. The Regularization Variational Method for Solving Inverse Stefan Problems. 3. Algorithms for the Numerical Solution of Inverse Stefan Problems. 4. Properties of Operator Representations of Inverse Stefan Problems. Bibliography. Index.
