Computer simulations are becoming more important due to increase incomputing power and improvements in algorithms. Today physical experiments are increasingly being replaced or augmented by computation. Computer simulations allow investigation of phenomena that are dangerous, or where physical experiments are unfeasible or impossible.
Computations play a central role whether one is studying sub-atomic particles or galaxies, designing minute nano-composites or huge airliners or skyscrapers, sequencing the human genome or protecting fragile ecosystems, studying the flow of blood in capillaries or predicting the flow of water underground and in estuaries or the winds in a hurricane.
In order to maintain its competitive economic, scientific, and strategic edge, the United States needs to continue to advance computational science and train a greater number of mathematicians, scientists, and engineers who are versed in scientific computing and who are able to collaborate and develop new efficient simulation tools and the needed mathematical theory.