Line Integral Solution of Hamiltonian PDEs

Line Integral Solution of Hamiltonian PDEs

In this paper, we report on recent findings in the numerical solution of Hamiltonian Partial Differential Equations (PDEs) by using energy-conserving line integral methods in the Hamiltonian Boundary Value Methods (HBVMs) class. In particular, we consider the semilinear wave equation, the nonlinear...

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Bibliographic Details
Main Authors: Luigi Brugnano, Gianluca Frasca-Caccia, Felice Iavernaro
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Mathematics
Subjects:
Hamiltonian problems
energy-conserving methods
Hamiltonian Boundary Value Methods
HBVMs
line integral methods
spectral methods
Hamiltonian PDEs
semilinear wave equation
nonlinear Schrödinger equation
Korteweg–de Vries equation
Online Access:http://www.mdpi.com/2227-7390/7/3/275

Internet

http://www.mdpi.com/2227-7390/7/3/275

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