What are some of the career paths for numerical analysts?
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One of the most obvious career paths for numerical analysts is to pursue academic and research positions in universities, institutes, or laboratories. Numerical analysts can teach and mentor students, conduct original research, publish papers, and collaborate with other scientists and experts. Academic and research careers require advanced degrees, such as a master's or a PhD, in numerical analysis, mathematics, computer science, or a related field. They also require strong presentation skills.
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Anywhere in risk, efficient Cholesky decomposition for constructing correlated simulation paths[1], guaranteeing that a covariance matrix is positive definite[2]. Model specification in both risk and forecasting, exploiting structure for efficient multiplication of matrices, conditioning... Understanding why big data collapses dimensionally in ML[3] [1] Trefethen, Lloyd N.; Bau, David (1997). Numerical linear algebra. SIAM. Nicholas J. Higham, Computing a Nearest [2]Symmetric Positive Semidefinite Matrix, Linear Algebra Appl. 103, 103-118, 1988 [3] Udell, Madeleine and Townsend, Alex, Why Are Big Data Matrices Approximately Low Rank?, SIAM Journal on Mathematics of Data Science
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In addition to the strong presentation skills mentioned above, you also need to have the ability to speak the expert language of other disciplines. For example, if you want to develop a mathematical model of the heart, you need to have a high degree of fluency in the medical issues, and also the ability to explain the mathematics to people, and other disciplines.
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Not fluent in #NumericalAnalysis however my military expertise was as an #AnalyticalScientist (61S3c) and I would imagine every #Field that employs #Analysts would work; #Finance and #Investing primarily with #TipOtheSpear analytical #Types in almost everything from #Aerospace/Science/Engineering to #BusinessMBA types in all-Fields...
Another common career path for numerical analysts is to work as engineers or consultants in various industries, such as aerospace, manufacturing, energy, biotechnology, or telecommunications. Numerical analysts can apply their skills to design and optimize products, systems, and services. They can also develop and implement numerical software and tools to support engineering projects. Engineering and industry careers require a bachelor's or a master's degree in numerical analysis, engineering, or a related field. They also require technical, problem-solving, and teamwork skills, as well as a familiarity with industry standards.
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The space industry relies heavily on mechanical engineers using finite element tools to determine strength margins and the natural frequency of everything from components through to the whole spacecraft. Engineers specializing in thermal analysis are in particular demand. The altitude, spacecraft rotation rate, material properties and shadowing, coupled with the lack of convection mean extreme temperature differentials can exist across a spacecraft, which impact many different systems on the spacecraft. Most positions require a bachelor’s degree. Individuals with PhDs are primarily found in research and development, and are hired based on their specialization to solve problems tangentially related to their thesis work.
A more recent career path for numerical analysts is to work as financial analysts, data scientists, or business analysts in the finance and business sector. Numerical analysts can use their skills to analyze financial data, markets, risks, and opportunities. They can also create and use mathematical models, algorithms, and software to support decision making, forecasting, and strategy. Finance and business careers require a bachelor's or a master's degree in numerical analysis, finance, economics, or a related field. They also require quantitative, analytical, and business skills, and a knowledge of financial concepts and tools.
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Stochastic differential equations are a good example of numerical analysis in finance. For example, the Black-Scholes model for options pricing, and it’s generalizations, are pervasive in high-end mathematical finance.
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Numerical analysts specializing in finance and business have diverse career opportunities. They can work as quantitative analysts, developing mathematical models for risk assessment and pricing of financial instruments. Other paths include data scientists in financial firms, optimizing trading algorithms, or becoming financial engineers designing sophisticated strategies. Moreover, careers in risk management, actuarial science, or consulting firms are also common choices, where their expertise in numerical methods is highly valued for decision-making and optimization in the financial sector.
A less common but still rewarding career path for numerical analysts is to work as educators or teachers in schools, colleges, or online platforms. Numerical analysts can use their skills to teach and tutor students in mathematics, computer science, or related subjects. They can also create and use educational materials, software, and games to enhance learning and engagement. This career path requires pedagogical and interpersonal skills, as well as a passion for teaching and learning.
A emerging career path for numerical analysts is to work as health informaticians, bioinformaticians, or medical image analysts in the health and medicine sector. Numerical analysts can use their skills to collect, process, and visualize biomedical data. They can also develop and use numerical methods, software, and systems to support diagnosis, treatment, prevention, and research. Health and medicine careers require a bachelor's or a master's degree in numerical analysis, health informatics, bioinformatics, or a related field. They also require scientific and computational skills, as well as a knowledge of health and medical concepts and issues.
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