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- W2809969562 abstract "We present and analyze a constraint-preserving finite difference method for approximating the damped wave map equation $$begin{aligned} varepsilon u_{tt}+alpha u_t - varDelta u = gamma u, quad |u| = 1,quad text { in }(0,infty )times varOmega , end{aligned}$$into the sphere. The numerical method preserves a discrete version of the energy balance associated with the equation and the unit length constraint of the solution at every grid point. We show that the approximations converge to a weak solution as the discretization parameters go to zero and present some numerical experiments investigating the limit (varepsilon rightarrow 0) for (alpha =1)." @default.
- W2809969562 created "2018-07-10" @default.
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- W2809969562 date "2018-01-01" @default.
- W2809969562 modified "2023-09-26" @default.
- W2809969562 title "A Constraint-Preserving Finite Difference Method for the Damped Wave Map Equation to the Sphere" @default.
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- W2809969562 doi "https://doi.org/10.1007/978-3-319-91548-7_48" @default.
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