TY  - BOOK
AU  - Nolde,Christian
TI  - Global Regularity and Uniqueness of Solutions in a Surface Growth Model Using Rigorous a-Posteriori Methods
T2  - Augsburger Schriften Zur Mathematik, Physik und Informatik Series
SN  - 9783832592097
AV  - QD553 .N653 2017 
U1  - 541.37 
PY  - 2017///
CY  - Berlin
PB  - Logos Verlag Berlin
KW  - Electrochemistry
KW  - Electronic books
N1  - Intro -- 1 Introduction -- 1.1 Outline -- 1.2 General Setting and Notation -- 1.3 Acknowledgments -- 2 A-priori Analysis -- 2.1 Energy Estimate -- 2.2 Time and Smallness Conditions -- 2.3 ODE Estimates -- 3 Verification Methods -- 3.1 First Method -- 3.2 Second Method -- 3.3 Third Method -- 3.4 Numerical Comparison -- 3.5 Conclusion -- 4 Eigenvalue Estimate -- 4.1 Setting and Theorem -- 4.2 Proof of the Theorem -- 4.3 Comparison with the Previous Estimate -- 4.4 Application to the Surface Growth Equation -- 5 Numerical Preparations -- 5.1 Norm of the Residual -- 5.2 Rigorous Computable Bound for Method 3 -- 5.3 Rigorous Computable Bound including the Eigenvalue Estimate -- 6 Simulations -- A Basic Tools -- B Numerical Implementation
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5313465
ER  -