Inverse Stefan Problems
By: by N. L. Gol'dman
Series: Mathematics and Its Applications -- 412; Mathematics and Its Applications -- 412
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 250
ISBN-13: 9789401063098; 9789401154888
Subjects: Mathematics; Differential equations, partial; Computer science; Surfaces (Physics)
Description: 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.
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