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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of Total Stock-based Compensation Recognized by Income Statement Classification
The detail of the total stock-based compensation recognized by income statement classification is as follows (in thousands):
 
Three Months Ended
 
Three Months Ended
Income Statement Classifications
March 31, 2015
 
March 31, 2014
Cost of services and maintenance revenues
$
550

 
$
477

Research and development
13,257

 
12,780

Sales, marketing and services
10,696

 
16,016

General and administrative
9,708

 
11,428

Total
$
34,211

 
$
40,701

Schedule of Assumptions Used to Value Nonvested Share Grants
The grant date fair value of the non-vested performance stock unit awards was determined through the use of a Monte Carlo simulation model, which utilized multiple input variables that determined the probability of satisfying the market condition requirements applicable to each award as follows:
 
March 2015 Grant
March 2014 Grant
Expected volatility factor
0.14 - 0.29

0.19 - 0.38

Risk free interest rate
0.85
%
0.81
%
Expected dividend yield
0
%
0
%