Titlebook: Applied Numerical Methods for Partial Differential Equations; Carl L. Gardner Textbook 2024 The Editor(s) (if applicable) and The Author(s

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Hagers Handbuch der Pharmazeutischen Praxisthe numerical growth factor is introduced. For parabolic PDEs, the timestep is adjusted dynamically based on an estimate of the local error or from a divided-difference formula for TRBDF2. TRBDF2 and Newton’s method are applied to simulating nonlinear diffusion for semiconductor wafer processing.

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核心

Numerical Methods for Mixed Type PDEs,ep splittings will be given for the drift-diffusion model (parabolic plus elliptic), the incompressible Navier-Stokes equations (incompletely parabolic), and the classical hydrodynamic model (hyperbolic plus parabolic plus elliptic).

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Hagers Handbuch der Pharmazeutischen Praxisquations), including the development of chaotic solutions with strange attractors. For nonlinear ODEs, especially for stiff ODEs, TRBDF2 (plus Newton’s method) is recommended. Two proofs of the Equivalence Theorem for ODE initial value problems are given.

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