Video: Google App Engine vs Google Compute Engine

Google App Engine lets you run web applications on Google's infrastructure. App Engine applications are easy to build, easy to maintain, and easy to scale as your traffic and data storage needs grow. With App Engine, there are no servers to maintain: You just upload your application, and it's ready to serve your users.
Run your large-scale computing workloads on Linux virtual machines hosted on Google's infrastructure. Use world class data centers that provide unparalleled performance for your computing needs. Easily scale to tens of thousands of cores on infrastructure designed for large-scale computing.