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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. High-resolution schemes are used in the numerical solution of partial differential equations where high accuracy is required in the presence of shocks or discontinuities.High-resolution schemes often use flux/slope limiters to limit the gradient around shocks or discontinuities. A particularly successful high-resolution scheme is the MUSCL scheme which uses state extrapolation and limiters to achieve good accuracy see diagram below.