MathDB3 problems
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Lew et al.'s multisymplectic explanation for the energy behavior of asynchronous variational integrators
An asynchronous variational integrator (AVI) has a multisymplectic structure expressed by the multisymplectic form formula … Here and are the boundary one-for…
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Adjointness conjecture for Hamiltonians from symmetric discrete Lagrangians
Let an approximation scheme yield a symmetric discrete Lagrangian, and let the corresponding discrete right and left Hamiltonians be obtained from it. Adjointness conjecture. The d…
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Convergence of D.E.L. solutions to C.E.L. solutions
Let D.E.L. and C.E.L. denote the discrete and continuous Euler–Lagrange equations, respectively, and let the discrete operator satisfy the convergence assumptions described above.…