// context.xml
/*
<?xml version="1.0" encoding="UTF-8"?>
<Context antiJARLocking="true" path="/MyServlet">
    <Resource name="jdbc/mydb" auth="Container" type="javax.sql.DataSource"
        maxActive="100" maxIdle="30" maxWait="10000"
        username="" password="" driverClassName="org.sqlite.JDBC"
        url="jdbc:sqlite:web/mydb.db"/>
</Context>
*/

// DBConnect.java
public class DBConnect() {
  public DBConnect() {
    try {
      Context ctx = new InitialContext();
      DataSource ds = (javax.sql.DataSource) ctx.lookup("java:comp/env/jdbc/mydb");

      Connection conn = ds.getConnection();

      Statement stmt = conn.createStatement();
    } catch (SQLException e) {
      System.out.println(e.toString());
    } catch (Exception e) {
      System.out.println(e.toString());
    }
  }
}

// Tomcat error that I get
// org.apache.tomcat.dbcp.dbcp.SQLNestedException: Cannot load JDBC driver class 'org.sqlite.JDBC'