May 29, 2018 · The problem is reformulated in a weak form, and then a spectral Galerkin method is used to create a sequence of finite dimensional nonlinear problems.

The spectral is defined using an explicitly given transformation from Bd onto . An earlier paper using this numerical approach to solve elliptic equations with ...

May 1, 2019 · The problem is reformulated in a weak form, and then a spectral Galerkin method is used to create a sequence of finite dimensional nonlinear ...

reformulated in a weak form, and then a spectral Galerkin method is used to create a sequence of finite dimensional nonlinear problems.

Let Ω be an open region in ℝ d , d ≥ 2, that is diffeomorphic to B d . Consider solving −Δu + γu = 0 on Ω with the Neumann boundary condition \(\frac ...

May 11, 2014 · The function f is a nonlinear function of the solution u. The problem is converted to an equivalent\ elliptic problem over the open unit ball \ ...

Jul 18, 2016 · An extension to a Neumann boundary value problem is given in §6. 2 A spectral method. Begin with the special case. = Bd, and then move to a ...

A spectral method for the eigenvalue problem for elliptic equations · A spectral method for an elliptic equation with a nonlinear Neumann boundary condition.

In the case the Neumann problem is uniquely solvable, and with sufficiently smooth problem parameters, the method is shown to have very rapid convergence.

The Neumann problem is uniquely solvable, and with sufficiently smooth problem parameters, the method is shown to have very rapid convergence.