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Linear, Super-Linear and Combined Fourier Heat Kernel Convergence Estimates for SchwarzWaveform Relaxation

  • Martin J. Gander,
  • Véronique Martin

摘要

We are interested in solving the heat equation \(\partial_{t} u - \tilde{v}\partial_{xx}^{2} u = f\,\,on\,\left( { - L,\,L} \right) \times \left( {0,T} \right)\) , with an initial condition and with Dirichlet boundary conditions.