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EbookBell Team
5.0
38 reviewssolve systems of linear and nonlinear partial differential equations (PDEs) with
state-of-the-art finite difference and finite volume numerical methods: TRBDF2
(trapezoidal rule/backward difference formula second-order) for parabolic modes
like heat conduction or diffusion, modern iterative methods including PCG (preconditioned conjugate gradients) and GMRES (generalized minimal residuals) for
elliptic modes like electrostatics or potential flow in fluids, and WENO (weighted
essentially non-oscillatory [method]) for hyperbolic modes like advection or gas
dynamics. We also review state-of-the-art numerical methods for systems of linear
and nonlinear ordinary differential equations (ODEs) including the explicit fourthorder Runge-Kutta method and the implicit TRBDF2 method.
