A space-time isogeometric method for the linear Schrödinger equation is proven unconditionally stable and mass/energy preserving through weak well-conditioning of its nearly Toeplitz system matrices.
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Derives fully-discrete a priori and semi-discrete a posteriori error estimates for a C^0-in-time discontinuous-continuous Galerkin discretization of the wave equation, with explicit constants and a C^1 reconstruction operator.
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A matrix-based approach to the stability of a space-time isogeometric method for the linear Schr\"odinger equation
A space-time isogeometric method for the linear Schrödinger equation is proven unconditionally stable and mass/energy preserving through weak well-conditioning of its nearly Toeplitz system matrices.
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A priori and a posteriori error estimates of a $\mathcal C^0$-in-time method for the wave equation in second order formulation
Derives fully-discrete a priori and semi-discrete a posteriori error estimates for a C^0-in-time discontinuous-continuous Galerkin discretization of the wave equation, with explicit constants and a C^1 reconstruction operator.