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We present a new, formally third order, implicit Weighted Essentially Non-Oscillatory (iWENO3) finite volume scheme for solving systems of nonlinear conservation laws. We then generalize it to define an implicit Eulerian–Lagrangian WENO (iEL-WENO) scheme. Implicitness comes from the use of an implicit Runge–Kutta (RK) time integrator. A specially chosen two-stage RK method allows us to drastically...
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