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Numerical Methods Jobs (NOW HIRING)

Cadence Design Systems Inc

Principal Software Engineer

Irvine, CA · On-site

$117K - $218K/yr

  • Medical

  • Dental

  • Vision

  • Retirement

  • PTO

This role is ideal for someone with deep expertise in nonlinear mechanics, numerical methods, and engineering software development who enjoys solving complex technical problems and building reliable ...

Roblox

Principal Software Engineer, Physics

San Mateo, CA

$153K - $206K/yr

Physics and Numerical Methods Experience: Practical experience applying numerical methods to solve problems in real-time physics simulation. * Real-Time Physics Expertise: Proven experience ...

University of Pittsburgh

Research Assistant

Pittsburgh, PA · On-site

$18.75 - $25.75/hr

Programming skills in Python Familiarity with numerical methods or scientific computing Experience with data processing and analysis Knowledge of machine learning frameworks Strong attention to ...

Roblox

Principal Software Engineer, Physics

San Mateo, CA

$153K - $206K/yr

Physics and Numerical Methods Experience: Practical experience applying numerical methods to solve problems in real-time physics simulation. * Real-Time Physics Expertise: Proven experience ...

TerraPower LLC.

Principal Engineer, Safety Methods

Bellevue, WA · On-site

  • Medical

  • Dental

  • Vision

  • Life

  • Retirement

  • PTO

Develop and maintain method qualification plans, including numerical verification, applicability envelopes, and performance characterization. * Formulate and integrate closure models and correlations ...

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Numerical Methods information

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$27.5K

$56.7K

$60.5K

How much do numerical methods jobs pay per year?

As of Aug 18, 2026, the average yearly pay for numerical methods in the United States is $56,723.00, according to ZipRecruiter salary data. Most workers in this role earn between $59,000.00 and $59,500.00 per year, depending on experience, location, and employer.

What is a numerical methods job?

A Numerical Methods job involves developing, analyzing, and implementing algorithms to solve mathematical problems numerically. Professionals in this field work on optimizing computations for engineering, physics, finance, and other scientific applications. They use programming languages like Python, MATLAB, or C++ to create efficient and accurate numerical solutions. These jobs are common in industries such as aerospace, data science, and applied mathematics, where analytical models are essential for decision-making and simulations.

What are some common projects or problems handled by professionals specializing in numerical methods?

Professionals specializing in Numerical Methods typically work on projects involving the development and implementation of algorithms to solve mathematical models for engineering, physics, finance, or data science applications. Common responsibilities include simulating physical systems, optimizing processes, or analyzing large data sets using numerical techniques. These roles often involve close collaboration with engineers, scientists, or analysts to translate real-world problems into computational form and validate results against experimental data. The projects are diverse, providing ample opportunities to deepen expertise in both theoretical and practical aspects of numerical analysis.

What are the key skills and qualifications needed to thrive in the numerical methods position, and why are they important?

To thrive in a Numerical Methods role, a strong background in applied mathematics, computational modeling, and problem-solving is essential, often supported by a degree in mathematics, engineering, or a related field. Proficiency with programming languages such as MATLAB, Python, or FORTRAN, and experience with numerical analysis software, are commonly required. Analytical thinking, teamwork, and effective communication are vital soft skills to excel in this position. These competencies are crucial for accurately analyzing complex data and collaborating across multidisciplinary teams to develop reliable computational solutions.

What do numerical methods do?

Numerical methods are techniques used by professionals in computational fields to approximate solutions to mathematical problems that are difficult or impossible to solve analytically. They involve algorithms and software tools to perform calculations efficiently, often used in engineering, science, and data analysis to model and simulate real-world systems.
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What states have the most Numerical Methods jobs?

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Numerical Methods jobs near you
Infographic showing various Numerical Methods job openings in the United States as of August 2026, with employment types broken down into 1% As Needed, 85% Full Time, 12% Part Time, and 2% Contract. Highlights an 93% Physical, 1% Hybrid, and 6% Remote job distribution, with an average salary of $56,723 per year, or $27.3 per hour.

Principal Software Engineer

Cadence Design Systems Inc

Irvine, CA • On-site

$117K - $218K/yr

Other

Medical, Dental, Vision, Retirement, PTO

Posted 6 days ago

Cadence Design Systems rating

9.0

Company rating: 9.0 out of 10

Based on 5 frontline employees who took The Breakroom Quiz

33rd of 245 rated software companies

Job description

At Cadence, we hire and develop leaders and innovators who want to make an impact on the world of technology.
We are looking for a senior-level engineer to help research, design, develop, and improve advanced nonlinear finite element analysis technologies for MSC Nastran, Marc, and related simulation products. This role is ideal for someone with deep expertise in nonlinear mechanics, numerical methods, and engineering software development who enjoys solving complex technical problems and building reliable, high-quality simulation capabilities.
Key Responsibilities
Research, design, and develop advanced algorithms for nonlinear finite element analysis to support multidisciplinary simulations and technology integration within MSC Nastran, Marc, and related products. Develop, maintain, enhance, and test linear and nonlinear solution capabilities, including implementation, validation, optimization, and performance improvements. Create representative engineering models to verify, demonstrate, and benchmark linear and nonlinear analysis capabilities. Identify, investigate, and report software defects, enhancement requests, numerical issues, and performance concerns to support continuous product improvement. Create and maintain test cases, benchmark models, automated tools, and regression testing workflows for validation and performance evaluation. Support QA activities, including benchmarking, certification, validation, release testing, and compliance with established product quality metrics and guidelines. Prepare and maintain technical documentation for product enhancements, new features, software improvements, QA procedures, testing methodologies, benchmarks, and training materials. Collaborate with engineering, QA, and product teams to improve product performance, reliability, usability, and release readiness. Perform additional duties and responsibilities as needed to support evolving business and organizational priorities.
Senior-Level Expectations
  • Lead the design and development of complex nonlinear analysis technologies and co-simulation capabilities.
  • Provide technical guidance, code review, and mentorship to other engineers.
  • Participate in architecture reviews, design discussions, roadmap planning, and strategic technology decisions.
  • Evaluate emerging technologies and recommend approaches that enhance Hexagon Nastran's simulation capabilities, product quality, and competitive position.

Knowledge, Skills, and Abilities
  • Strong understanding of nonlinear mechanics, numerical methods, contact mechanics, contact algorithms, and finite element methods, including implicit and explicit nonlinear analysis technologies.
  • Ability to develop, evaluate, review, maintain, and validate engineering software code using sound engineering judgment.
  • Hands-on experience in two or more of the following areas: contact mechanics; large deformation and large rotation; finite element formulation and element development; fluid-structure interaction; computational fluid dynamics; heat transfer; fracture and failure mechanics; solution algorithms and numerical methods; electrical and electromagnetic analysis; acoustics; or geometry modeling and NURBS technologies.
  • Strong engineering analysis, debugging, and problem-solving skills.
  • Ability to create clear design documentation, technical specifications, test plans, and professional reports using Microsoft Word, Microsoft Excel, and related tools.
  • Effective written and verbal communication skills in English, with the ability to collaborate across engineering, QA, and product teams.
  • Evaluate emerging technologies and recommend approaches that enhance Hexagon Nastran's simulation capabilities, product quality, and competitive position.

Required and Preferred Experience
  • Experience developing and implementing finite element analysis software, user subroutines for commercial FEA packages, and numerical material models.
  • Strong programming skills in Fortran and C/C++, with working knowledge of Python, Linux shell scripting, and other scripting languages.
  • Experience with MSC Nastran, Marc, or similar commercial finite element analysis software.
  • Background in nonlinear solid mechanics analysis, including geometric nonlinearity, contact mechanics, nonlinear material behavior, large deformation, and large rotation formulations.
  • Education
  • PhD in Mechanical Engineering, Civil Engineering, Aerospace Engineering, Applied Mechanics, Computational Mechanics, or a related field.

The annual salary range for California is $117,600 to $218,400. You may also be eligible to receive incentive compensation: bonus, equity, and benefits. Sales positions generally offer a competitive On Target Earnings (OTE) incentive compensation structure. Please note that the salary range is a guideline and compensation may vary based on factors such as qualifications, skill level, competencies and work location. Our benefits programs include: paid vacation and paid holidays, 401(k) plan with employer match, employee stock purchase plan, a variety of medical, dental and vision plan options, and more.
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