As a member of our mixed-signal ASIC team, you will design, develop, and validate SystemVerilog real-number models of complex analog IPs that interface with digital control blocks. Your models will ...
As a member of our mixed-signal ASIC team, you will design, develop, and validate SystemVerilog real-number models of complex analog IPs that interface with digital control blocks. Your models will ...
Perform state-of-the-art research in Geomechanics, including numerical modeling and integration with laboratory, log, and field data. * Explore new concepts, develop innovative workflows, and advance ...
Perform state-of-the-art research in Geomechanics, including numerical modeling and integration with laboratory, log, and field data. * Explore new concepts, develop innovative workflows, and advance ...
Senior Geotechnical & Tunneling Engineer
Boston, MA · On-site
$160.65K - $183.60K/yr
Perform numerical modeling and soil-structure interaction analyses for underground structures. * Support project teams with technical guidance on tunneling methods, construction approaches, and risk ...
Senior Geotechnical & Tunneling Engineer
Boston, MA · On-site
$160.65K - $183.60K/yr
Perform numerical modeling and soil-structure interaction analyses for underground structures. * Support project teams with technical guidance on tunneling methods, construction approaches, and risk ...
Postdoctoral Researcher
$68.38K/yr
The position is part of an ongoing research effort that combines numerical modeling with laboratory-based noble gas measurements. The postdoctoral researcher will conduct analyses using transport ...
Postdoctoral Researcher
$68.38K/yr
The position is part of an ongoing research effort that combines numerical modeling with laboratory-based noble gas measurements. The postdoctoral researcher will conduct analyses using transport ...
Senior Engineer, Modeling & Simulation
San Jose, CA · On-site
$122.80K - $173.60K/yr
Expert in numerical modeling and dynamic simulation of complex physical systems, especially aerospace and mechanical systems * High level of expertise with developing vehicle simulations in Simulink.
Senior Engineer, Modeling & Simulation
San Jose, CA · On-site
$122.80K - $173.60K/yr
Expert in numerical modeling and dynamic simulation of complex physical systems, especially aerospace and mechanical systems * High level of expertise with developing vehicle simulations in Simulink.
Geothermal Modeling Graduate Student Employee
Washington, DC · On-site +1
$31 - $36/hr
Experience with THMC modeling, geothermal reservoir modeling, or related numerical simulations; reactive transport modeling and geochemistry background are a plus. * Excellent Python skills and ...
Geothermal Modeling Graduate Student Employee
Washington, DC · On-site +1
$31 - $36/hr
Experience with THMC modeling, geothermal reservoir modeling, or related numerical simulations; reactive transport modeling and geochemistry background are a plus. * Excellent Python skills and ...
Senior Geotechnical Engineer
San Diego, CA · On-site +1
$117K - $176K/yr
You'll take ownership of key project activities, including developing conceptual and numerical models, managing project schedules, writing technical reports, supporting client relationships ...
Senior Geotechnical Engineer
San Diego, CA · On-site +1
$117K - $176K/yr
You'll take ownership of key project activities, including developing conceptual and numerical models, managing project schedules, writing technical reports, supporting client relationships ...
Digital Mixed Signal Modeling Engineer
Austin, TX · On-site
$134.80K/yr
As a member of our mixed-signal ASIC team, you will design, develop, and validate SystemVerilog real-number models of complex analog IPs that interface with digital control blocks. Your models will ...
Digital Mixed Signal Modeling Engineer
Austin, TX · On-site
$134.80K/yr
As a member of our mixed-signal ASIC team, you will design, develop, and validate SystemVerilog real-number models of complex analog IPs that interface with digital control blocks. Your models will ...
You'll take ownership of key project activities, including developing conceptual and numerical models, managing project schedules, writing technical reports, supporting client relationships ...
You'll take ownership of key project activities, including developing conceptual and numerical models, managing project schedules, writing technical reports, supporting client relationships ...
Postdoctoral Scholar in Planetary Sciences and Astrobiology
Seattle, WA · On-site
$6.50K/mo
Write and run evolutionary biogeochemical numerical models to simulate lifeless and inhabited worlds, and develop disequilibrium-, redox-, and information-based metrics to understand and quantify the ...
Postdoctoral Scholar in Planetary Sciences and Astrobiology
Seattle, WA · On-site
$6.50K/mo
Write and run evolutionary biogeochemical numerical models to simulate lifeless and inhabited worlds, and develop disequilibrium-, redox-, and information-based metrics to understand and quantify the ...
Simulation and Modeling Intern (Fall 2026)
$16.75 - $21.50/hr
Strong background in numerical modeling and simulation * Experience with CFD and/or multi-physics simulation tools preferred * Familiarity with DOE, data analysis, and scripting (Python, MATLAB, or ...
Simulation and Modeling Intern (Fall 2026)
$16.75 - $21.50/hr
Strong background in numerical modeling and simulation * Experience with CFD and/or multi-physics simulation tools preferred * Familiarity with DOE, data analysis, and scripting (Python, MATLAB, or ...
Develops field, analytical, numerical modeling, and project management skills in technical staff, including seismic design, liquefaction evaluation, code compliance, and nonlinear deformation ...
Develops field, analytical, numerical modeling, and project management skills in technical staff, including seismic design, liquefaction evaluation, code compliance, and nonlinear deformation ...
Develop, improve, and conduct first-principles numerical modeling of heat exchangers, thermal energy storage, and heating, ventilation, and air-conditioning (HVAC) systems. * Design, develop, and ...
Develop, improve, and conduct first-principles numerical modeling of heat exchangers, thermal energy storage, and heating, ventilation, and air-conditioning (HVAC) systems. * Design, develop, and ...
Develop, improve, and conduct first-principles numerical modeling of heat exchangers, thermal energy storage, and heating, ventilation, and air-conditioning (HVAC) systems. * Design, develop, and ...
Develop, improve, and conduct first-principles numerical modeling of heat exchangers, thermal energy storage, and heating, ventilation, and air-conditioning (HVAC) systems. * Design, develop, and ...
Sr Engineer, AI/Machine Learning
Irvine, CA · On-site
$110.80K - $152.20K/yr
... numerical modeling in MATLAB, Python or similar software • Responsible for algorithm design, development, implementation, testing, and documentation for Biomedical Signal Processing systems • ...
Sr Engineer, AI/Machine Learning
Irvine, CA · On-site
$110.80K - $152.20K/yr
... numerical modeling in MATLAB, Python or similar software • Responsible for algorithm design, development, implementation, testing, and documentation for Biomedical Signal Processing systems • ...
Develops field, analytical, numerical modeling, and project management skills in technical staff, including seismic design, liquefaction evaluation, code compliance, and nonlinear deformation ...
Develops field, analytical, numerical modeling, and project management skills in technical staff, including seismic design, liquefaction evaluation, code compliance, and nonlinear deformation ...
Research Associate
Princess Anne, MD · On-site
$59K/yr
Work to develop a program in ecological numerical modeling. Conduct the ADCP, Wave and Water Quality observations in the Maryland Coastal Bays. Run the Finite Volume Coastal Ocean Modeling and Ce ...
Research Associate
Princess Anne, MD · On-site
$59K/yr
Work to develop a program in ecological numerical modeling. Conduct the ADCP, Wave and Water Quality observations in the Maryland Coastal Bays. Run the Finite Volume Coastal Ocean Modeling and Ce ...
Preferred : • Familiarity with C, C++, FORTRAN, and/or Ada desirable. • Experience with control systems, aerodynamics, or numerical modeling is desired. Company : FAAC Incorporated is the leader ...
Preferred : • Familiarity with C, C++, FORTRAN, and/or Ada desirable. • Experience with control systems, aerodynamics, or numerical modeling is desired. Company : FAAC Incorporated is the leader ...
Mid-Level Numerical Control Programmer
Wichita, KS · On-site
$76.55K - $117.35K/yr
Analyze blueprints and engineering models to support NC programming. * Develop optimized programs ... Provides numerical control, machining, and programming technical support. * Analyze blueprints and ...
Mid-Level Numerical Control Programmer
Wichita, KS · On-site
$76.55K - $117.35K/yr
Analyze blueprints and engineering models to support NC programming. * Develop optimized programs ... Provides numerical control, machining, and programming technical support. * Analyze blueprints and ...
Candidates should be self-motivated with a strong background in analytical and numerical modeling. Expertise in dynamic events with a focus on material responses under these dynamic conditions is ...
Candidates should be self-motivated with a strong background in analytical and numerical modeling. Expertise in dynamic events with a focus on material responses under these dynamic conditions is ...
Numerical Modeling information
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$27.5K - $30.5K
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$57.6K is the 25th percentile. Wages below this are outliers.
$57.5K - $60.5K
78% of jobs
$27.5K
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$60.5K
How much do numerical modeling jobs pay per year?
As of May 31, 2026, the average yearly pay for numerical modeling 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 Modeling job?
A Numerical Modeling job involves developing and using mathematical models to simulate real-world physical, biological, or engineering systems. Professionals in this field use computational techniques to analyze complex problems, predict behaviors, and optimize designs. They often work with software tools like MATLAB, Python, or specialized simulation programs and apply knowledge from physics, mathematics, and engineering. Numerical modelers are employed in various industries, including aerospace, climate science, finance, and healthcare.
What are the key skills and qualifications needed to thrive in the Numerical Modeling position, and why are they important?
To excel in Numerical Modeling, a deep understanding of mathematics, physics, and computational methods, often supported by a degree in engineering or science, is essential. Familiarity with programming languages such as Python, MATLAB, or C++, as well as experience with simulation software and numerical analysis tools, is commonly required. Strong problem-solving abilities, attention to detail, and the ability to clearly communicate complex concepts are valuable soft skills in this field. These competencies ensure accurate model development and collaboration within interdisciplinary teams, driving successful real-world solutions.
What are the typical daily tasks for someone working in Numerical Modeling?
Professionals in Numerical Modeling typically spend their days designing and implementing computational models, running simulations, and analyzing data to solve real-world engineering or scientific problems. They often collaborate with other engineers, scientists, or project managers to ensure that models accurately represent complex systems and align with project objectives. Tasks may also include validating models against experimental data, troubleshooting numerical issues, and preparing technical reports or presentations. This role requires a mix of independent research, teamwork, and continuous communication to deliver effective solutions.
What jobs make 3000 a month without a degree?
In numerical modeling, entry-level roles such as data entry clerks, technical support specialists, or certain manufacturing positions can pay around $3,000 monthly without requiring a degree. These jobs often emphasize skills like computer literacy, problem-solving, or familiarity with specific tools, and may involve on-the-job training or certifications instead of formal education.
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Apple rating
8.1
Based on 661 frontline employees who took The Breakroom Quiz
6th of 30 rated technology retailers
Job description
Join our team at Apple developing the mixed-signal PMU ASICs at the heart of Apple's hardware products. PMUs contain mixed-signal functions such as throttling, system telemetry collection and processing, and a range of high-performance and high-efficiency power conversion blocks - including buck converters, LDOs, charge pumps, and voltage references - that have enabled Apple products' industry-leading battery life. As a member of our mixed-signal ASIC team, you will design, develop, and validate SystemVerilog real-number models of complex analog IPs that interface with digital control blocks. Your models will close the loop in digital mixed-signal simulations, helping find bugs in both the digital and analog portions of the design before silicon.
Description
The PMU Digital Mixed Signal (DMS) team has a unique opportunity for engineers looking for a role that bridges digital and analog design. DMS engineers work closely with analog and digital designers to create SystemVerilog real-number models (RNM) of analog circuits, capturing key behaviors such as DC-DC converter regulation, overshoot/undershoot and ripples. These models are essential for high-speed digital/analog closed-loop simulations that typically run more than 100x faster than schematic-based simulations, providing vital productivity gains across the project lifecycle.
DMS simulations have been foundational to the PMU team's track record of meeting aggressive schedules while delivering industry-leading power converters. You will work at the intersection of analog and digital design - reading schematics, attending architecture and design reviews, building and debugging models, and correlating results against transistor-level simulations. In this role, you will gain deep exposure to full-chip integration, tapeout cycles, and silicon bring-up correlation across Apple's broad product portfolio.","responsibilities":"Partner with analog designers to define model specifications, including transfer functions, timing behavior, non-idealities, and operating ranges
Develop SystemVerilog real-number models from analog schematics and design specifications
Verify models by model versus schematic simulations, and root-cause any mismatches
Create SystemVerilog testbenches for standalone model validation
Integrate models into full-chip DMS simulation environments in support of digital and analog mixed-signal verification teams
Maintain and evolve model libraries across project generations, ensuring accuracy and reusability
Develop model accuracy metrics and regression suites to track model quality over time
Participate in design reviews and architecture trade-off discussions with analog and digital teams
Automate modeling and analysis workflows using Python or similar scripting languages
Preferred Qualifications
Solid understanding of both digital and analog circuit fundamentals
Proficiency in Verilog or SystemVerilog
Ability to read and interpret analog schematics and simulation results
Excellent communication and cross-functional collaboration skills•
Experience with SystemVerilog real-number modeling (RNM) or wreal/EEnet methodology
Hands-on experience with power management circuits such as LDOs, buck converters, charge pumps, or voltage references
Familiarity with digital verification methodology (e.g., UVM, coverage-driven verification)
Experience with mixed-signal or digital simulation tools (e.g., Xcelium, Virtuoso)
Proficiency in Python or similar scripting for automation and analysis
Experience using LLM-based or AI-assisted coding tools for model or RTL development
Minimum Qualifications
A minimum of a bachelor's degree in relevant field and a minimum of 3 years of relevant industry experience.
Description
The PMU Digital Mixed Signal (DMS) team has a unique opportunity for engineers looking for a role that bridges digital and analog design. DMS engineers work closely with analog and digital designers to create SystemVerilog real-number models (RNM) of analog circuits, capturing key behaviors such as DC-DC converter regulation, overshoot/undershoot and ripples. These models are essential for high-speed digital/analog closed-loop simulations that typically run more than 100x faster than schematic-based simulations, providing vital productivity gains across the project lifecycle.
DMS simulations have been foundational to the PMU team's track record of meeting aggressive schedules while delivering industry-leading power converters. You will work at the intersection of analog and digital design - reading schematics, attending architecture and design reviews, building and debugging models, and correlating results against transistor-level simulations. In this role, you will gain deep exposure to full-chip integration, tapeout cycles, and silicon bring-up correlation across Apple's broad product portfolio.","responsibilities":"Partner with analog designers to define model specifications, including transfer functions, timing behavior, non-idealities, and operating ranges
Develop SystemVerilog real-number models from analog schematics and design specifications
Verify models by model versus schematic simulations, and root-cause any mismatches
Create SystemVerilog testbenches for standalone model validation
Integrate models into full-chip DMS simulation environments in support of digital and analog mixed-signal verification teams
Maintain and evolve model libraries across project generations, ensuring accuracy and reusability
Develop model accuracy metrics and regression suites to track model quality over time
Participate in design reviews and architecture trade-off discussions with analog and digital teams
Automate modeling and analysis workflows using Python or similar scripting languages
Preferred Qualifications
Solid understanding of both digital and analog circuit fundamentals
Proficiency in Verilog or SystemVerilog
Ability to read and interpret analog schematics and simulation results
Excellent communication and cross-functional collaboration skills•
Experience with SystemVerilog real-number modeling (RNM) or wreal/EEnet methodology
Hands-on experience with power management circuits such as LDOs, buck converters, charge pumps, or voltage references
Familiarity with digital verification methodology (e.g., UVM, coverage-driven verification)
Experience with mixed-signal or digital simulation tools (e.g., Xcelium, Virtuoso)
Proficiency in Python or similar scripting for automation and analysis
Experience using LLM-based or AI-assisted coding tools for model or RTL development
Minimum Qualifications
A minimum of a bachelor's degree in relevant field and a minimum of 3 years of relevant industry experience.
About Apple
Sourced by ZipRecruiter
Imagine what you could do here! At Apple, new ideas have a way of becoming extraordinary products, services, and customer experiences very quickly. Bring passion and dedication to your job and there's no telling what you could accomplish. Dynamic, intelligent people and inspiring, innovative technologies are the norm here. The people who work here have reinvented entire industries with all Apple Hardware products. The same real passion for innovation that goes into our products also applies to our practices strengthening our dedication to leave the world better than we found it.
Industry
Computer and electronic product manufacturing
Company size
10,000+ Employees
Headquarters location
Cupertino, CA, US
Year founded
1976