Stress testing is fun and all other tests typically test your app with a single thread. However: once deployed, your application will never again run in a single threaded environment... So unit tests are nice, but stress tests are absolutely necessary in a Java EE environment.
My (Adam Bien) JavaOne talk: "Stress Testing JavaEE Applications" is available online:
Cloudy Jakarta EE and MicroProfile: Microservices, Clouds and Beyond Jakarta EE / MicroProfile airhacks workshops at MUC airport, Winter Edition
airhacks.fm the podcast:
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