Mapped Fourier Methods for stiff problems in toroidal geometry

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Guillard , Herve;
  • Publisher: HAL CCSD
  • Subject: Tokamaks | Spectral methods | pellet injection | ACM : G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.11: Spectral methods | [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA] | [ PHYS.PHYS.PHYS-PLASM-PH ] Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph] | Fourier approximation | ACM : G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations | [ SPI.PLASMA ] Engineering Sciences [physics]/Plasmas | mapped Fourier method | [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]

Fourier spectral or pseudo-spectral methods are usually extremely efficient for periodic problems. However this efficiency is lost if the solutions have zones of rapid variations or internal layers. For these cases, a large number of Fourier modes are required and this ... View more
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