Senior Applied Research Scientist – GPU Native Numerical Algorithms

Details

NVIDIA is seeking an Applied Research Scientist to join its computational engineering applied research team. The role focuses on designing GPU-native numerical methods that make engineering simulation faster, more reliable, and easier to use across NVIDIA platforms, while providing numerical foundations for emerging AI-native engineering algorithms.

The work combines numerical analysis, accelerated computing, production-minded software engineering, and the co-design of future AI-native engineering methods. The successful candidate will explore solver algorithms, build research prototypes, evaluate approaches on representative workloads, and help transition promising ideas into software used by researchers, engineers, and partners.

Responsibilities

• Invent and reformulate numerical algorithms whose mathematical and computational structures are co-designed for modern NVIDIA GPU architectures, including implicit and explicit engineering simulation.
• Develop linear and nonlinear solver approaches, including Newton-Krylov methods, multigrid and AMG, domain decomposition, matrix-free algorithms, mixed-precision methods, sparse iterative and direct methods, and preconditioning strategies.
• Investigate synchronization-avoiding Krylov methods, GPU-native multigrid and domain decomposition, matrix-free implicit methods, mixed-precision algorithms, and sparse direct/iterative hybrids.
• Evaluate algorithms on workloads in mechanics, contact, thermal-fluid systems, electromagnetics, semiconductor process and device simulation, EDA, multiphysics, and related CAE domains.
• Collaborate with CUDA-X, Warp, solver engineering, NVIDIA Research, universities, and industry partners to move research prototypes into NVIDIA software capabilities.
• Help shape the long-term applied research roadmap for GPU-native numerical methods and their evolution toward AI-native computational engineering.

Requirements

• PhD or equivalent experience in computational mechanics, applied mathematics, scientific computing, computer science, aerospace, mechanical or civil engineering, or a related technical field.
• At least 5 years of relevant work or research experience.
• Research or engineering experience with PDE discretization, finite element, finite volume, discontinuous Galerkin methods, nonlinear solvers, sparse linear algebra, preconditioning, or high-performance computing.
• Experience writing numerical software in C++ and Python.
• Experience developing or optimizing CUDA or GPU code.
• Experience using profiling, benchmarking, numerical validation, or performance analysis to improve algorithms on GPU or multi-GPU systems.
• Ability to communicate technical tradeoffs clearly and collaborate across research, engineering, product, and partner teams.

Preferred Qualifications

• Experience with implicit structural dynamics, nonlinear mechanics, contact, CFD, electromagnetics, multiphysics, semiconductor simulation, EDA, CAE, or CAD-connected engineering workflows.
• Contributions to or practical experience with PETSc, Trilinos, MFEM, libCEED, OpenFOAM, NVIDIA Warp, CUDA-X, cuSPARSE, cuSOLVER, or related computational science frameworks.
• Experience with industrial simulation, EDA, semiconductor, CAE, or CAD ecosystems, including Ansys, Abaqus, LS-DYNA, Siemens Simcenter, Dassault SIMULIA, Altair, Cadence, Synopsys, COMSOL, MathWorks, or comparable internal solver and design platforms.
• Experience with distributed solvers using MPI, NCCL, asynchronous methods, or performance analysis on GPU clusters.
• Publications, patents, open-source work, or deployed software in computational science venues or communities such as SC, SIAM CSE, SIAM SISC, CMAME, IJNME, JCP, AIAA, USNCCM, WCCM, or related areas.

Compensation and Benefits

• Level 4 base salary: USD 192,000–304,750 per year.
• Level 5 base salary: USD 224,000–356,500 per year.
• Base salary is determined based on location, experience, and the pay of employees in similar positions.
• Eligible for equity and benefits.
• Applications will be accepted at least until August 17, 2026.
• NVIDIA is an equal opportunity employer committed to an inclusive work environment.