Lagrangian and Hamiltonian Taylor variational integrators
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DOI: 10.1007/s10543-017-0690-9
Abstract: In this paper, we present a variational integrator that is based on an approximation of the Euler–Lagrange boundary-value problem via Taylor’s method. This can be viewed as a special case of the shooting-based variational integrator.… read more here.
Keywords: lagrangian hamiltonian; variational integrators; variational integrator; method ... See more keywords
A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations
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DOI: 10.1016/j.apnum.2020.02.018
Abstract: Abstract In this work, we investigate a multidimensional system consisting of a finite (though arbitrary) number of coupled hyperbolic partial differential equations with fractional diffusion, constant damping and inertial times, and nonlinear reaction terms. Under… read more here.
Keywords: integrator multidimensional; variational integrator; multidimensional systems; explicit variational ... See more keywords