Scenario: A large multinational corporation, ABC Corporation, is considering implementing a new big data computing infrastructure to handle its rapidly growing data volume and processing needs. The company operates in multiple countries and has a diverse workforce that relies heavily on mobile devices for their daily tasks. They are interested in exploring emerging trends in big data computing, including high$-$performance computing, grid computing, cloud computing, and mobile computing, to optimize their data processing capabilities.

Discussion Question: As a consultant tasked with advising ABC Corporation on their big data computing strategy, how would you recommend they leverage the emerging trends in high$-$performance computing, grid computing, cloud computing, and mobile computing to address their data processing challenges? Consider the potential benefits and challenges associated with each trend, and provide specific examples of how ABC Corporation can effectively incorporate these trends into their infrastructure to improve efficiency, scalability, and accessibility while ensuring data security and privacy.