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FOCM
2011
90views more  FOCM 2011»
13 years 2 months ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert
FGCS
2006
142views more  FGCS 2006»
13 years 11 months ago
Conservation properties of multisymplectic integrators
Recent results on the local and global properties of multisymplectic discretizations of Hamiltonian PDEs are discussed. We consider multisymplectic (MS) schemes based on Fourier s...
Alvaro L. Islas, Constance M. Schober
IJBC
2002
109views more  IJBC 2002»
13 years 10 months ago
Cnn Dynamics represents a Broader Class than PDES
The relationship between Cellular Nonlinear Networks (CNNs) and Partial Differential Equations (PDEs) is investigated. The equivalence between discrete-space CNN models and contin...
Marco Gilli, Tamás Roska, Leon O. Chua, Pie...
CDC
2009
IEEE
185views Control Systems» more  CDC 2009»
14 years 3 months ago
Discrete Empirical Interpolation for nonlinear model reduction
A dimension reduction method called Discrete Empirical Interpolation (DEIM) is proposed and shown to dramatically reduce the computational complexity of the popular Proper Orthogo...
Saifon Chaturantabut, Danny C. Sorensen
CAD
2005
Springer
13 years 11 months ago
Surface interpolation of meshes by geometric subdivision
Subdivision surfaces are generated by repeated approximation or interpolation from initial control meshes. In this paper, two new nonlinear subdivision schemes, face based subdivi...
Xunnian Yang