Modeling Analyst | Methods Engineer
Role Overview
Full-time, mid-level to senior Mathematical Modeling Analyst | Numerical Methods Engineer.
Develop mathematical models and numerical algorithms to solve engineering and scientific problems through computational analysis.
Collaborate with engineers, researchers, software developers, data scientists, and technical project teams to formulate problems, validate methods, and communicate findings.
Key Skills for This Role
Full Job Posting
Role overview
Full-time, mid-level to senior Mathematical Modeling Analyst | Numerical Methods Engineer.
Develop mathematical models and numerical algorithms to solve engineering and scientific problems through computational analysis.
Collaborate with engineers, researchers, software developers, data scientists, and technical project teams to formulate problems, validate methods, and communicate findings.
Modeling and numerical methods
- Model physical systems, engineering processes, scientific phenomena, and operational problems; translate requirements into mathematical formulations and computational strategies.
- Design and implement numerical methods for differential equations, linear and nonlinear systems, optimization, and simulation.
- Develop algorithms for integration, interpolation, approximation, differentiation, and root-finding; evaluate convergence, stability, accuracy, complexity, and reliability.
Simulation, validation, and optimization
- Simulate system behavior across parameters and operating scenarios; conduct sensitivity and uncertainty analyses.
- Validate models using analytical solutions, experiments, benchmark datasets, or observed behavior; identify numerical errors, instability, ill-conditioning, and accuracy issues.
- Develop optimization models and improve computation time, memory use, and performance; benchmark, profile, and test methods.
Implementation and collaboration
- Implement models and algorithms using Python, MATLAB, Julia, C++, or other suitable languages and scientific computing tools.
- Analyze simulation and experimental datasets; develop reusable code, modules, and automated workflows.
- Document assumptions, derivations, algorithms, procedures, and validation; prepare reports and presentations and collaborate across technical teams.
- Review existing models and support digital twins, predictive simulations, and model-based engineering where applicable.
Education and experience
- Bachelor's or master's degree in Applied Mathematics, Computational Mathematics, Numerical Analysis, Engineering, Physics, Scientific Computing, or a related discipline.
- Relevant experience in mathematical modeling, numerical methods, scientific computing, simulation, or computational engineering.
Technical qualifications
- Strong foundation in calculus, linear algebra, differential equations, numerical analysis, and optimization.
- Experience developing computational models and implementing theoretical formulations; proficiency in at least one of Python, MATLAB, Julia, C++, or Fortran.
- Familiarity with scientific computing libraries such as NumPy, SciPy, MATLAB toolboxes, or comparable platforms.
- Able to design, test, debug, and optimize algorithms; understands numerical stability, convergence, discretization error, floating-point arithmetic, and computational accuracy.
- Experience validating results using analytical comparisons, benchmarks, or independent computational methods.
Additional qualifications
- Optimization, sensitivity analysis, parameter estimation, statistical methods, probability, and uncertainty quantification are beneficial or advantageous.
- Simulation tools, finite element/difference/volume methods, and high-performance, parallel, GPU, or distributed computing are preferred or advantageous.
- Strong analytical reasoning, attention to detail, communication, technical documentation, collaboration, and commitment to mathematical rigor and reproducibility are expected.
- A master's or doctoral degree or relevant research experience is advantageous for advanced modeling and research positions.
What the employer offers
- Competitive salary and comprehensive employee benefits; the salary amount and cadence are not specified.
- Professional development, technical collaboration, scientific software, computing resources, and opportunities to contribute to research, simulation, and engineering optimization.
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