Line Integral Solution of Hamiltonian PDEs
AbstractIn 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 Schrödinger equation, and the Korteweg–de Vries equation, to illustrate the main features of this novel approach. View Full-Text
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Brugnano, L.; Frasca-Caccia, G.; Iavernaro, F. Line Integral Solution of Hamiltonian PDEs. Mathematics 2019, 7, 275.
Brugnano L, Frasca-Caccia G, Iavernaro F. Line Integral Solution of Hamiltonian PDEs. Mathematics. 2019; 7(3):275.Chicago/Turabian Style
Brugnano, Luigi; Frasca-Caccia, Gianluca; Iavernaro, Felice. 2019. "Line Integral Solution of Hamiltonian PDEs." Mathematics 7, no. 3: 275.
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