Singular Phenomena and Scaling in Mathematical Models

The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences....

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Griebel, Michael (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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020 |a 9783319007861  |9 978-3-319-00786-1 
024 7 |a 10.1007/978-3-319-00786-1  |2 doi 
040 |d GrThAP 
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245 1 0 |a Singular Phenomena and Scaling in Mathematical Models  |h [electronic resource] /  |c edited by Michael Griebel. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a VIII, 434 p. 86 illus., 58 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Preface -- Area A – Scaling Limits of Diffusion Processes and Singular Spaces -- Area B – Multiple Scales in Mathematical Models of Materials Science and Biology -- Area C – Numerics for Multiscale Models and Singular Phenomena. 
520 |a The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity. 
650 0 |a Mathematics. 
650 0 |a Computer mathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Computational Science and Engineering. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
700 1 |a Griebel, Michael.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319007854 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-00786-1  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)