Katrin Grunert

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math.NA2025

Rate of convergence for numerical $I^\pm$ -dissipative solutions of the Hunter-Saxton equation

Thomas Christiansen, Katrin Grunert

We prove that $I^\pm$ -dissipative solutions to the Cauchy problem of the Hunter-Saxton equation, where $I^\pm \in W^{1, \infty} (R, [0, 1))$ , can be computed numerically with orde…

math.NA2024

A numerical view on Î±-dissipative solutions of the Hunter-Saxton equation

Thomas Christiansen, Katrin Grunert

We propose a new numerical method for $I^\pm$ -dissipative solutions of the Hunter-Saxton equation, where $I^\pm$ belongs to $W^{1, \infty} (R, [0, 1))$ . The method combines a pro…

Rate of convergence for numerical I^±-dissipative solutions of the Hunter-Saxton equation

A numerical view on Î±-dissipative solutions of the Hunter-Saxton equation

Rate of convergence for numerical $I^\pm$ -dissipative solutions of the Hunter-Saxton equation