1 Scientific Computing, an introduction.- 2 Computation far back in time.- 3 The centuries before computers.- 4 The beginning of the computer era.- 5 The establishment of scientific computing as a new discipline.- 6 Impact of numerical analysis and scientific computing.- References.
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.
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).
"The book evolves like a numerical course where the historical aspects are somewhat expanded at the expense of the numerical issues, but the main formulas and ideas are there. The numerics are however too thin to be useful as lecture notes for a course on numerical analysis. Therefore the book can only serve as additional literature to accompany a true course about the numerics." (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, March 20, 2019)