Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

Thus stability, which has to do with rounding errors, and consistency, which has to do with truncation errors, are both expressed in terms of perturbations. This gives an abstract version of the Lax ...

YAN XU, CHI-WANG SHU, OPTIMAL ERROR ESTIMATES OF THE SEMIDISCRETE LOCAL DISCONTINUOUS GALERKIN METHODS FOR HIGH ORDER WAVE EQUATIONS, SIAM Journal on Numerical Analysis, Vol. 50, No. 1 (2012), pp.