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Numerical Analysis Jobs in California (NOW HIRING)

AI/ML Software Engineer

Sunnyvale, CA · On-site

$180 - $260/hr

Solid mathematical foundation in linear algebra and numerical analysis. * Experience breaking down large problems and delivering robust solutions. * Experience developing user-facing APIs for complex ...

Solid mathematical foundation in linear algebra and numerical analysis. Experience breaking down large problems and delivering robust solutions. Experience developing user-facing APIs for complex ...

Showing results 41-60

Numerical Analysis information

See California salary details

$15

$24

$32

How much do numerical analysis jobs pay per hour?

As of Aug 21, 2026, the average hourly pay for numerical analysis in California is $24.62, according to ZipRecruiter salary data. Most workers in this role earn between $20.87 and $27.74 per hour, depending on experience, location, and employer.

What is numerical analysis?

A Numerical Analysis job involves developing and applying mathematical algorithms to solve complex numerical problems. Professionals in this field use computational techniques to approximate solutions for equations that may not have analytical solutions. They work in areas such as engineering, physics, finance, and computer science to optimize simulations, data analysis, and modeling. Strong skills in programming, mathematics, and problem-solving are essential for success in this role.

What kinds of projects do professionals in numerical analysis typically work on?

Professionals in Numerical Analysis often work on projects involving the development and implementation of algorithms to solve complex mathematical problems, such as simulations, optimizations, and predictive modeling. Their work is typically applied to fields like engineering design, finance, data science, and scientific computing, where accurate numerical solutions are vital. On a daily basis, they may collaborate with engineers, scientists, and software developers to ensure models reflect real-world scenarios and produce reliable results. This collaborative and interdisciplinary approach offers plenty of opportunities to broaden expertise and progress into more specialized or senior analytical roles.

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

To thrive in Numerical Analysis, you need a strong background in mathematics, statistics, and computational methods, typically supported by a degree in applied mathematics, engineering, or a related field. Familiarity with programming languages (such as MATLAB, Python, or R) and proficiency in numerical simulation or modeling software are crucial. Attention to detail, analytical thinking, and effective communication stand out as valuable soft skills in this specialty. These competencies are critical for developing accurate numerical solutions and collaborating effectively within interdisciplinary technical teams.

What does a numerical analysis do?

A numerical analyst develops and applies mathematical algorithms to solve complex quantitative problems, often using computer software and programming skills. They analyze data, create models, and ensure the accuracy and efficiency of numerical computations across various industries.

What cities in California are hiring for Numerical Analysis jobs?

Cities in California with the most Numerical Analysis job openings:

Infographic showing various Numerical Analysis job openings in California as of August 2026, with employment types broken down into 88% Full Time, 10% Part Time, and 2% Contract. Highlights an 81% Physical, 5% Hybrid, and 14% Remote job distribution, with an average salary of $51,203 per year, or $24.6 per hour.

R&D Engineer Simulation software

Keysight Technologies, Inc.

Santa Clara, CA

Full-time

Re-posted 11 days ago


Keysight Technologies rating

8.1

Company rating: 8.1 out of 10

Based on 20 frontline employees who took The Breakroom Quiz

50th of 159 rated electronics manufacturers


Job description

Overview

Keysight is at the forefront of technology innovation, delivering breakthroughs and trusted insights in electronic design, simulation, prototyping, test, manufacturing, and optimization. Our ~16,800 employees create world-class solutions in communications, 5G, automotive, energy, quantum, aerospace, defense, and semiconductor markets for customers in over 100 countries. Learn more about what we do.

Our award-winning culture embraces a bold vision of where technology can take us and a passion for tackling challenging problems with industry-first solutions. We believe that when people feel a sense of belonging, they can be more creative, innovative, and thrive at all points in their careers.


Responsibilities

We are seeking an Expert R&D Engineer to join the circuit simulation team for the advancement of our next-generation circuit simulation technologies. This role is focused on developing and improving the core simulation engine behind Keysight's industry-leading circuit simulation products. You will work with simulation experts, software architects, device modeling engineers, and product teams to identify critical technical challenges, develop innovative solutions, and influence the future direction of Keysight's circuit simulation technology.

We are looking for an exceptional engineer with deep expertise across electrical engineering, numerical algorithms, and software engineering. The ideal candidate understands both the mathematical foundations of circuit simulation and the practical challenges involved in building a high-performance, production-quality simulator.

About the Team

Our Circuit Simulation R&D team develops advanced simulation technologies used by engineers worldwide to design RF, microwave, analog, mixed-signal, and high-speed electronic systems.

The team combines expertise in:

  • Electrical circuit theory and semiconductor device behavior.
  • Numerical analysis and computational mathematics.
  • High-performance software engineering.
  • Large-scale simulation architecture and optimization.

We solve some of the most challenging computational problems in electronic design automation by combining algorithm innovation with robust software implementation.

Responsibilities

As an Expert R&D Engineer, you will:

  • Provide technical leadership in the development of advanced circuit simulation algorithms.
  • Investigate fundamental simulation challenges involving accuracy, convergence, performance, and scalability.
  • Develop innovative numerical algorithms for nonlinear circuit analysis and differential equation solving.
  • Improve solver technologies, including sparse matrix algorithms, nonlinear solution methods, and numerical integration techniques.
  • Evaluate and introduce advanced methods for simulation acceleration, including model order reduction, RC reduction, vector fitting, and parallel computation.
  • Analyze simulation performance and identify opportunities for significant improvements in runtime and memory efficiency.
  • Collaborate with experts across circuit simulation, device modeling, RF simulation, software architecture, and applications engineering.
  • Translate customer and product challenges into algorithmic solutions.
  • Mentor engineers and provide technical guidance in simulation algorithms and software development practices.
  • Drive technical discussions, design reviews, and long-term technology direction.

Qualifications

Required Qualifications

  • Advanced degree (Master's or Ph.D. preferred) in Electrical Engineering, Electrical Engineering and Computer Science (EECS), Computer Science, Applied Mathematics, Computational Science, or a related field.
  • Extensive experience developing circuit simulation engines, numerical simulation software, or other large-scale scientific computing applications.
  • Strong knowledge of nonlinear equation solving, Newton-Raphson methods, convergence techniques, and differential equation analysis.
  • Deep understanding of sparse matrix algorithms and numerical linear algebra.
  • Expert-level programming skills in C++ with experience developing large, maintainable software systems.
  • Ability to analyze complex simulation behavior and translate mathematical concepts into reliable software implementations.
  • Strong communication skills with the ability to collaborate effectively across electrical engineering and software engineering disciplines.

Preferred Qualifications

Experience with one or more of the following:

  • Strong expertise in transient (TRAN) simulation techniques and numerical integration methods, e.g. Adaptive timestep control, Backward Euler, Trapezoidal, Gear integration methods, Local truncation error estimation, Convergence acceleration techniques, etc.
  • Sparse solver technologies, e.g. Matrix ordering, Sparse factorization, Iterative and direct linear solvers.
  • Model order reduction and parasitic reduction:
  • Semiconductor device modeling:
  • High-performance computing:
  • Experience using Python or Rust for prototyping, automation, and engineering productivity.

Pay Range:

USD $156,960.00 - USD $261,600.00 Year

Careers Privacy StatementKeysight is an Equal Opportunity Employer.

#LI-MED1

Qualifications:

Required Qualifications

  • Advanced degree (Master's or Ph.D. preferred) in Electrical Engineering, Electrical Engineering and Computer Science (EECS), Computer Science, Applied Mathematics, Computational Science, or a related field.
  • Extensive experience developing circuit simulation engines, numerical simulation software, or other large-scale scientific computing applications.
  • Strong knowledge of nonlinear equation solving, Newton-Raphson methods, convergence techniques, and differential equation analysis.
  • Deep understanding of sparse matrix algorithms and numerical linear algebra.
  • Expert-level programming skills in C++ with experience developing large, maintainable software systems.
  • Ability to analyze complex simulation behavior and translate mathematical concepts into reliable software implementations.
  • Strong communication skills with the ability to collaborate effectively across electrical engineering and software engineering disciplines.

Preferred Qualifications

Experience with one or more of the following:

  • Strong expertise in transient (TRAN) simulation techniques and numerical integration methods, e.g. Adaptive timestep control, Backward Euler, Trapezoidal, Gear integration methods, Local truncation error estimation, Convergence acceleration techniques, etc.
  • Sparse solver technologies, e.g. Matrix ordering, Sparse factorization, Iterative and direct linear solvers.
  • Model order reduction and parasitic reduction:
  • Semiconductor device modeling:
  • High-performance computing:
  • Experience using Python or Rust for prototyping, automation, and engineering productivity.

Pay Range:

USD $156,960.00 - USD $261,600.00 Year

Careers Privacy StatementKeysight is an Equal Opportunity Employer.

#LI-MED1

Education:UNAVAILABLEEmployment Type: UNAVAILABLE

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