NVIDIA is seeking an intern to focus on scalable differentiable algorithms, particularly in adjoint and automatic differentiation methods. The role involves connecting simulations with experimental data using AI/ML methods and evaluating these approaches on simulation workloads. Interns will work in an inclusive environment that encourages innovation and collaboration across mathematics, code, hardware, and engineering applications. This position offers an opportunity to make a significant impact in the field of computational engineering.

• Pursuing a PhD in applied mathematics, scientific computing, computational engineering, computer science, mechanical engineering, aerospace engineering, or an equivalent program area.
• Strong foundations in algorithms related to PDEs, numerical linear algebra, iterative solvers, optimization, or scientific computing.
• Research experience with adjoint methods, automatic differentiation, inverse problems, data assimilation, gradient-aware simulation approaches, or a related area.
• Experience writing numerical software in Python and C++, with familiarity with parallel or GPU computing.
• Ability to design computational experiments, evaluate numerical and performance tradeoffs, and communicate technical results clearly.

• Prototype GPU-native solvers with adjoint and automatic differentiation techniques for engineering simulations.
• Integrate AI-based methods with simulation algorithms for parameter calibration, inverse problems, and data assimilation using experimental or simulation data.
• Co-design numerical algorithms and differentiation strategies for GPU parallelism, memory hierarchy, mixed precision, reduced synchronization, and distributed multi-GPU execution.
• Evaluate numerical accuracy, convergence, gradient quality, performance, and scalability on workloads in CFD, mechanics, thermal systems, and multiphysics.
• Identify promising methods and help move them toward reusable capabilities in CUDA-X libraries.

• Employees at NVIDIA are often offered comprehensive, day-one benefits—including medical, dental, and vision coverage with HSA support, life and disability insurance, an Employee Assistance Program, and a 401(k) with auto-enrollment. Many roles also have generous time off and holidays, donation matching (up to $10,000), and a wide menu of extras like FSAs, commuter benefits, legal and identity-theft protection, pet insurance, and wellness discounts. Optional programs can include student-loan and home-purchase support, plus family care resources and expert medical services.