| Abstract: |
| In this talk, I will propose efficient and parallel algorithms for the implementation of the high-order
continuous time Galerkin method for dissipative and wave propagation problems. By using Legendre
polynomials as shape functions, we obtain a special structure of the stiffness matrix that allows
us to extend the diagonal Pad\`e approximation to solve ordinary differential equations with source
terms. The unconditional stability, hp error estimates, and hp superconvergence at the nodes of the
continuous time Galerkin method are proved. Numerical examples will be shown to confirm our theoretical results. |
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