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» Developmental Partial Differential Equations
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16 years 5 months ago
Mathematical Tools for Physics
"I wrote this text for a one semester course at the sophomore-junior level. Our experience with students taking our junior physics courses is that even if they've had th...
James Nearing
EWC
2002
86views more  EWC 2002»
14 years 9 months ago
On Object-Oriented Frameworks and Coordinate Free Formulations of PDEs
An object-oriented (OO) framework for Partial tial Equations (PDEs) provides software abstractions for numerical simulation of PDEs. The design of such frameworks is not trivial, a...
Magne Haveraaen, Hans Z. Munthe-Kaas, Krister &Ari...
MCS
2008
Springer
14 years 9 months ago
A wildland fire model with data assimilation
A wildfire model is formulated based on balance equations for energy and fuel, where the fuel loss due to combustion corresponds to the fuel reaction rate. The resulting coupled p...
Jan Mandel, Lynn S. Bennethum, Jonathan D. Beezley...
SIAMAM
2008
121views more  SIAMAM 2008»
14 years 9 months ago
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
Christina Stöcker, Axel Voigt
JCAM
2010
94views more  JCAM 2010»
14 years 4 months ago
Cascadic multilevel methods for ill-posed problems
Multilevel methods are popular for the solution of well-posed problems, such as certain boundary value problems for partial differential equations and Fredholm integral equations ...
Lothar Reichel, Andriy Shyshkov