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Daily Overview |
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Num1: Numerical Mathematics and Scientific Computing Location: A703 Session Chair: Thomas Wick | |
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A hyperboloidal method for numerical evolutions of multidimensional nonlinear wave equations HTW Berlin, Germany We report on progress with numerical evolutions of the wave equation with power nonlinearity in $n+1$ dimensions. Unlike previous numerical studies, we go beyond the radial case and do not assume any symmetries for $n=3$, and we only impose an SO($n-1$) symmetry for higher dimensions. Our method is based on hyperboloidal foliations of Minkowski space and conformal compactification. Results so far include late-time power-law decay (tails) for different spherical harmonic modes, both for subcritical and supercritical, focusing and defocusing nonlinear wave equations. Related article: Rinne O 2025 Nonlinearity 38 105026 | |
