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» A Particle Method for the KdV Equation
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JSCIC
2002
48views more  JSCIC 2002»
13 years 7 months ago
A Particle Method for the KdV Equation
Alina Chertock, Doron Levy
MOC
2011
13 years 2 months ago
Operator splitting for the KdV equation
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Kor...
Helge Holden, Kenneth H. Karlsen, Nils Henrik Rise...
AMC
2006
88views more  AMC 2006»
13 years 7 months ago
Invariant solutions of certain nonlinear evolution type equations with small parameters
The Fisher equation, which arises in the study of reaction diffusion waves in biology, does not display a high level of symmetry properties. Consequently, only travelling wave sol...
Ashfaque H. Bokhari, Abdul Hamid Kara, F. D. Zaman
MOC
2002
73views more  MOC 2002»
13 years 7 months ago
A stochastic particle numerical method for 3D Boltzmann equations without cutoff
Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisso...
Nicolas Fournier, Sylvie Méléard
GECCO
2005
Springer
136views Optimization» more  GECCO 2005»
14 years 26 days ago
Exploring extended particle swarms: a genetic programming approach
Particle Swarm Optimisation (PSO) uses a population of particles that fly over the fitness landscape in search of an optimal solution. The particles are controlled by forces tha...
Riccardo Poli, Cecilia Di Chio, William B. Langdon