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Mathematical Modeling Engineer Jobs (NOW HIRING)

Leidos is seeking a talented Radar Modeling Engineer for Radar System Model/Software Development to ... Software Engineering, Mathematics, Physics or related field from an ABET-accredited institution.

SoC Modeling Engineer

San Diego, CA · On-site

$115K - $173K/yr

Modeling of electrical systems and circuits, at component and transistor level * Modeling of ... MS or PhD in Electrical or Thermal Engineering, Applied Mathematics * Knowledge of AI, Machine ...

Leidos is seeking a Radar Modeling Engineer for Radar System Model/Software Development to join a ... Bachelor's degree in Electrical Engineering, Computer Engineering, Mathematics, or Physics from an ...

Radar Modeling Engineer

Huntsville, AL · On-site

$57K - $104K/yr

Leidos is seeking a talented Radar Modeling Engineer for Radar System Model/Software Development to ... Software Engineering, Mathematics, Physics or related field from an ABET-accredited institution.

Senior Actuator Modeling Engineer

Mountain View, CA · On-site

$122K - $168K/yr

As a Modeling Engineer, you will develop the mathematical foundation that guides actuator design across our robot fleet. You translate the statistical population of real-world use cases our robots ...

Radar Modeling Engineer

Huntsville, AL · On-site

$87K - $157K/yr

Bachelor's degree in Electrical Engineering, Computer Engineering, Mathematics, or Physics from an ... Candidate must have experience with modeling and simulation systems. * Familiarity with MATLAB or ...

Strong mathematical and programming skills using Python. Comfortable working in Windows, Linux ... Experience with physics-based modeling and ability to analyze, optimize, and debug scientific code.

Showing results 21-40

Mathematical Modeling Engineer information

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$36.5K

$107.3K

$137.5K

How much do mathematical modeling engineer jobs pay per year?

As of Sep 9, 2026, the average yearly pay for mathematical modeling engineer in the United States is $107,282.00, according to ZipRecruiter salary data. Most workers in this role earn between $88,500.00 and $136,000.00 per year, depending on experience, location, and employer.

What is a mathematical modeling engineer?

Mathematical Modeling Engineers are professionals who use mathematical techniques and computational tools to develop models that simulate real-world systems, processes, or phenomena. They apply their expertise to analyze complex problems, optimize solutions, and predict outcomes in fields such as engineering, physics, finance, and biology. Their work often involves collaborating with scientists and engineers to translate theoretical concepts into practical applications, helping organizations make data-driven decisions and improve efficiency.

What are the key skills and qualifications needed to thrive as a mathematical modeling engineer?

To thrive as a Mathematical Modeling Engineer, you need a strong background in mathematics, statistics, and engineering principles, often supported by a relevant degree such as applied mathematics, physics, or engineering. Expertise with technical tools like MATLAB, Python, or Simulink, and familiarity with numerical analysis software is typically required. Analytical thinking, problem-solving, and effective communication are crucial soft skills for interpreting data and collaborating across multidisciplinary teams. These abilities are essential to develop accurate models, optimize complex systems, and translate mathematical results into actionable engineering solutions.

What are some common challenges faced by mathematical modeling engineers when translating real-world problems into mathematical models?

Mathematical Modeling Engineers often encounter challenges such as accurately capturing the complexity of real-world systems while keeping models computationally manageable. Balancing model simplicity with fidelity, handling incomplete or noisy data, and validating models against real-world results can be demanding. Collaboration with domain experts and iterative refinement are key strategies to address these obstacles, ensuring the models remain both practical and reliable for use in engineering or scientific applications.

What is the difference between Mathematical Modeling Engineer vs Data Scientist?

AspectMathematical Modeling EngineerData Scientist
Required CredentialsDegree in Mathematics, Engineering, or related field; often requires programming skillsDegree in Statistics, Computer Science, or related field; strong programming and analytical skills
Work EnvironmentEngineering teams, research labs, product developmentBusiness, tech companies, analytics teams
Industry UsageManufacturing, aerospace, automotive, engineering firmsFinance, tech, healthcare, marketing
Common Search/ComparisonYesYes

Mathematical Modeling Engineers focus on developing mathematical representations of physical systems to optimize and simulate processes, often within engineering contexts. Data Scientists analyze large datasets to extract insights and inform business decisions. While both roles require strong analytical skills and programming knowledge, their primary applications and industries differ.

What cities are hiring for Mathematical Modeling Engineer jobs?

Cities with the most Mathematical Modeling Engineer job openings:

What states have the most Mathematical Modeling Engineer jobs?

States with the most job openings for Mathematical Modeling Engineer jobs include:

What are popular job titles related to Mathematical Modeling Engineer jobs?

For Mathematical Modeling Engineer jobs, the most frequently searched job titles are:

Infographic showing various Mathematical Modeling Engineer job openings in the United States as of September 2026, with employment types broken down into 67% Full Time, and 33% Contract. Highlights an 67% In-person, and 33% Remote job distribution, with an average salary of $107,282 per year, or $51.6 per hour.

Material Response Modeling Engineer

Mountain View, CA • On-site

Analytical Mechanics Associates
Scientific Research and Development Services • 51 - 200 employees

$120K - $180K/yr

Full-time

Medical, Dental, Vision, Retirement

Posted 14 days ago


Job description

Job Description:
Position Overview
Analytical Mechanics Associates (AMA) is seeking a highly motivated Material Response Modeling Engineer to support NASA under the Aircraft Systems and Spaceflight Engineering Support Services (ASSESS) contract at NASA Ames Research Center (ARC) in Moffett Field, California. The selected candidate will work on-site within the Thermal Protection Materials (TSM) Branch, part of the Entry Systems and Technology Division at NASA ARC.
This position supports the development, application, verification, and validation of computational tools for predicting the response of thermal protection system (TPS) materials in extreme aerothermal environments. The successful candidate will work as part of an interdisciplinary team of computational and experimental researchers to advance material-response modeling capabilities, support development of advanced TPS materials, and improve the predictive fidelity and computational performance of engineering simulation tools.
This opportunity is open to U.S. citizen and legal permanent resident candidates ranging from recent M.S. or Ph.D. graduates through experienced technical contributors and senior researchers. A Ph.D. is preferred but not required; applicants with an M.S. and strong relevant experience are encouraged to apply.
About the project
The Thermal Protection Materials Branch develops and evaluates materials and predictive capabilities for atmospheric entry, descent, and landing applications. The Material Response Modeling Engineer will contribute to NASA's open-source PATO material-response software and related computational capabilities used to simulate the thermal, chemical, and physical response of TPS materials.
Work may include modeling ablative and charring material systems; developing numerical methods and software for coupled flow-material interactions; modeling pyrolysis, decomposition, oxidation, recession, spallation, and phase-change processes; and verifying and validating models against relevant test data, including arc-jet test results. The role will involve scientific software development, high-performance computing, technical communication, and close collaboration across modeling and materials-development teams.
Position Details
  • Location: NASA Ames Research Center, Moffett Field, CA
  • Work arrangement: Full-time, on-site attendance required
  • Travel: Occasional travel may be required
  • Compensation: $120,000 - $180,000, commensurate with education level

Responsibilities
  • Responsibilities will vary based on program and project needs and may include:
  • Contributing to the development, maintenance, documentation, and application of the open-source NASA material-response software PATO
  • Developing and implementing computational models for the response of TPS materials in extreme aerothermal environments
  • Modeling relevant material-response phenomena, including thermal decomposition, pyrolysis, charring, oxidation, surface recession, spallation, phase change, and gas transport
  • Developing efficient and scalable numerical methods for challenging coupled physics problems, including flow-material interactions and finite-rate physical and chemical processes
  • Performing ablative TPS material-response simulations in support of material development, system design, and technology maturation activities
  • Supporting verification, validation, and uncertainty assessment of material-response models through comparison with experimental data, including arc-jet and other high-temperature test environments
  • Developing, testing, debugging, and maintaining scientific software in C++, Python, and related programming languages
  • Performing and supporting large-scale simulations using high-performance computing resources
  • Collaborating with computational modelers, material scientists, experimentalists, contractors, and NASA researchers in multidisciplinary technical teams
  • Preparing technical reports, presentations, conference papers, and peer-reviewed journal publications, as appropriate
  • Supporting the development of research proposals and new project concepts, as opportunities arise
  • Participating in technical meetings, reviews, teleconferences, and project activities as scheduled by task and project leads
  • Presenting project status, technical results, and recommendations to team members, management, and external technical audiences

Required Qualifications
  • M.S. or Ph.D. in Aerospace Engineering, Mechanical Engineering, Chemical Engineering, Materials Science and Engineering, Applied Mathematics, Computer Science, or a closely related technical discipline
    • Candidates who are near completion of a Ph.D. are encouraged to apply.
    • Relevant professional research or engineering experience may be considered in place of some educational preferences.
  • Demonstrated experience with computational modeling, scientific computing, or numerical simulation relevant to material response, heat transfer, reacting flows, ablation, or related multiphysics problems
  • Strong programming skills in C++ and Python
  • Familiarity with high-performance computing and large-scale simulation workflows
  • Knowledge of numerical methods and software-development practices applicable to scientific and engineering computing
  • Strong problem-solving, critical-thinking, organizational, and self-direction skills
  • Excellent written and verbal communication skills
  • Ability to work both independently and effectively as part of a multidisciplinary team
  • Ability to work full-time on-site at NASA Ames Research Center
  • Ability to travel occasionally, as required
  • This position requires U.S. Citizenship or Permanent Residency due to export control requirements.

Desired Qualifications
  • Ph.D. in a relevant engineering, science, or computational discipline
  • Experience with PATO material-response software
  • Experience with other material-response, TPS, ablation, or charring-material simulation tools, such as FIAT, Icarus, CHAR, or comparable government, academic, commercial, or internally developed codes
  • Experience modeling ablative thermal protection system materials at the macroscale
  • Experience with coupled fluid-thermal-chemical-material-response modeling or flow-material interaction solvers
  • Familiarity with modeling pyrolysis, charring, decomposition, oxidation, gas transport, surface recession, spallation, phase change, or gas-surface interactions
  • Experience developing, verifying, validating, or applying material-response models using high-enthalpy or arc-jet test data
  • Experience with thermochemistry, chemical kinetics, porous-media transport, or reacting-flow modeling
  • Experience with uncertainty quantification, sensitivity analysis, material-property modeling, or parameter estimation
  • Experience with Fortran or other scientific programming languages
  • Experience developing or maintaining open-source scientific software
  • Experience working in Linux-based development and HPC environments
  • Record of technical publications, conference presentations, or other demonstrated technical communication products
  • Familiarity with NASA Ames Research Center or NASA research and development environments

Analytical Mechanics Associates (AMA) is proud of our customer relationships, our diverse and dynamic work environment, and our employees' career satisfaction. AMA is a small business with a wide reach; headquartered in Hampton, VA, AMA has operations in Greenbelt, MD; Huntsville, AL; Dallas and Houston, TX; Denver, CO; Mountain View, CA; and Edwards Air Force Base, CA. With over 60 years of experience, AMA specializes in aerospace engineering, science, analytics, information technology, and visualization solutions. AMA combines the best of engineering, science, and mathematics capabilities with the latest in information technologies, visualization, and multimedia to build creative solutions. We offer competitive salaries and a substantial benefits package, including but not limited to paid personal and federally recognized holiday leave, salary deferrals into a 401(k)-matching plan with immediate vesting, tuition reimbursement, short/long term disability plans, and a variety of medical, dental, and vision insurance options.
AMA is committed to the professional growth of every employee, understanding that the successes of our employees drive our success. We provide a work environment that is engaging, collaborative, and supportive. To learn more about our company, please visit our website at www.ama-inc.com/careers and follow us on Facebook and LinkedIn.
AMA is an Equal Opportunity Employer and does not discriminate against any applicant for employment or employee because of race, color, religion, sex, sexual orientation, gender identity, national origin, age, disability, protected veteran status, or any other characteristic prohibited under federal, state, or local laws.