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.
Brezis.Functional analysis, Sobolev spaces and partial differential equations
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A modified quasifree variational energy for the zero-momentum Pauli-Fierz model has a unique minimizer whose value grows asymptotically as Lambda to the 3/2.
Existence of solutions with clustering concentration layers along non-degenerate critical curves of a weighted length functional for an Ambrosetti-Prodi problem as t → ∞.
citing papers explorer
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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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On the Ultraviolet Problem for the Ground State Energy of the Translation-Invariant Pauli--Fierz Model at Zero Total Momentum
A modified quasifree variational energy for the zero-momentum Pauli-Fierz model has a unique minimizer whose value grows asymptotically as Lambda to the 3/2.
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Solutions with clustering concentration layers to the Ambrosetti-Prodi type problem
Existence of solutions with clustering concentration layers along non-degenerate critical curves of a weighted length functional for an Ambrosetti-Prodi problem as t → ∞.