Level Set Methods and Dynamic Implicit Surfaces
This book is an introduction to level set methods and dynamic implicit surfaces. These are powerful techniques for analyzing and computing moving fronts in a variety of different settings. While the book gives many examples of the usefulness of the method
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S.S. Antman
lE. Marsden
L. Sirovich
Advisors
lK. Hale P. Holmes J. Keener J. Keller B.J. Matkowksy A. Mielke C.S. Peskin K.R. Sreenivasan
Springer New York Berlin Heidelberg Hong Kong London Milan Paris Tokyo
Applied Mathematical Sciences I. John: Partial Differential Equations, 4th ed
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2. Sirovich: Techniques of Asymptotic Analysis.
3. Hale: Theory ofFlDlCtionaI Differential Equations, 2nded 4. Percus: Combinatorial Methods. 5. von Mises/Friedrichs: Fluid Dynamics. 6. Freiberger/Grenander: A Short Comse in COJqlutationaI Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacaglia: Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of()penltors in Hilbert Space. 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. II. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. BlumaniCole: Similarity Methods for Differential Equations. 14. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications, 3rd ed 16. Lejschetz: Applications of Algebraic Topology. 17. CollatzlWelterling: Optimization Problems. 18. Gre1UJnder: Pattern Synthesis: Lectures in Pattern Theory, Vol. I. 19. MarsdenIMcCracken: HopfBifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/Friedrichs: Supersonic Flow and Shock Waves. 22. RoucheIHabets/Loloy: Stability Theory by L~pmwvsDirectMethod
23. Lomperti: Stochastic Processes: A Survey of the 24.
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Mathematical Theory. Gre1UJnder: Pattern Analysis: Lectures in Pattern Theory, Vol. ll. Davies: Integral Transforms and Their Applications, 2nd ed Kushner/Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. de Boor: A Practical Guide to Splines: Revised Edition. Keilson: Markov Chain ModeIs--Rarity and Exponentiality. de Veubeke: A Comse in Elasticity. Sniatycki: Geometric Quantization and Quantmn Mechanics. Reid: Stmmian Theory for Ordinary Differential Equations. MeislMarkowitz: Numerical Solution of Partial Differential Equations.
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Gre1UJnder: Regular Structures: Lectures in Pattern Theory, Vol. ill. KevorkianiCole: Perturbation Methods in Applied Mathematics. Ca": Applications of Centre Manifold Theory. BengtssoniGhiVK411en: Dynamic Meteorology: Data Assimilation Methods. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. Lichtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed PicciniiStampacchialV"uiossich: Ordinary Differential Equations in RD. Naylor/Sell: Linear ()penItor Theory in Engineering and Science. Spa"ow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. GuckenheimerlHolmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. OckendonlIaylor: Inviscid Fluid Flows. Pazy: Semigroups of Linear ()penItors and Applications to Pa
