A SBP-SAT boundary treatment makes a central-difference scheme for the half-line damped wave equation uniformly stable in the stiff relaxation limit, provided the boundary parameters satisfy a discrete dissipativity condition.
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A stiffly stable semi-discrete scheme for the damped wave equation on the half-line using SBP and SAT techniques
A SBP-SAT boundary treatment makes a central-difference scheme for the half-line damped wave equation uniformly stable in the stiff relaxation limit, provided the boundary parameters satisfy a discrete dissipativity condition.