A Celebration of Mathematical Modeling: The Joseph B. Keller Anniversary Volume

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Joseph Bishop Keller, Dan Givoli, Marcus J. Grote, George Papanicolaou
Springer Science & Business Media, Apr 30, 2004 - Mathematics - 241 pages
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ThisvolumecelebratestheeightiethbirthdayofJosephB. Keller. The authors who contributed to this volume belong to what can be called the “Keller school of applied mathematics. ” They are former students, postdoctoral fellows and visiting scientists who have collaborated with Joe (some of them still do) during his long career. They all look at Joe as their ultimate (role) model. JoeKeller’sdistinguishedcareerhasbeendividedbetweentheCourant Institute of Mathematical Sciences at New York University, where he received all his degrees (his PhD adviser being the great R. Courant himself) and served as a professor for 30 years, and Stanford University, where he has been since 1978. The appended photos highlight some scenes from the old days. Those who know Joe Keller’s work have been always amazed by its diversity and breadth. It is considered a well-known truth that there is not a single important area in applied mathematics or physics which Keller did not contribute to. This can be appreciated, for example, by glancing through his list of publication included in this volume. App- priately, the papers in this book, written with Joe’s inspiration, cover a variety of application areas; together they span the broad subject of mathematical modeling. The models discussed in the book describe the behavior of various systems such as those related to ?nance, waves, - croorganisms, shocks, DNA, ?ames, contact, optics, ?uids, bubbles and jets. Joe’s activity includes many more areas, which unfortunately are not represented here.
 

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Contents

MONTE CARLO SIMULATION FOR AMERICAN OPTIONS
1
SOME PROBLEMS IN ELECTROMAGNETICS
17
NONLINEAR ASPECTS
33
HIGHORDER TREATMENT
53
NONREFLECTING BOUNDARY CONDITIONS FOR TIME DEPENDENT WAVES
73
WEAK SHOCK REFLECTION
93
BIFURCATION THEORY SYMMETRY BREAKING AND HOMOGENIZATION IN CONTINUUM MECHANICS DESCRIPTIONS OF DNA
113
ON FLAMES AS DISCONTINUITY SURFACES IN GASDYNAMIC FLOWS
137
CONTACT LINES
161
OLD AND NEW
181
PHYSICAL INSIGHT MATHEMATICAL MODELING AND ASYMPTOTICS
199
WAVES BUBBLES AND JETS
221
Index
239
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Page 236 - The ray theory of ship waves and the class of streamlined ships. "J. Fluid Mech. Vol.91 pp.465-487 (1979) 4 Yim,B." A ray theory for non-linear ship waves and wave resistance.
Page 236 - Rottman, JW 1980 Some new highest-wave solutions for deep-water waves of permanent form J. Fluid Mech. 100.

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