Bertil Gustafsson is Professor at Uppsala University and a member of the Royal Swedish Academy of Sciences. His main area of research is the numerical solution of partial differential equations.Earlier books:B. Gustafsson, H.-O. Kreiss, J. Oliger: Time-Dependent Problems and Difference Methods, Whiley (1995).B. Gustafsson: High Order Difference Methods for Time Dependent PDE. Springer (2008).B.Gustafsson: Fundamentals of Scientific Computing. Springer (2011).B. Gustafsson, H.-O. Kreiss, J. Oliger: Time-Dependent Problems and Difference Methods, 2nd ed., Whiley (2013).