Mathematical simulation is a computational method that uses formal mathematical models—such as systems of differential equations, stochastic processes, or optimization formulations—to numerically approximate the behavior of complex systems under specified conditions. It enables investigation of system dynamics, sensitivity to parameters, and emergent properties when analytical solutions are infeasible or intractable. Typical workflows include model specification, parameterization, numerical integration or iteration, and validation against empirical data. Mathematical simulations are central in fields such as physics, engineering, systems biology, and economics, supporting hypothesis testing, scenario analysis, and predictive inference while explicitly encoding assumptions about structure, interactions, and boundary conditions.
Floods are some of the most devastating natural disasters communities in the United States face, causing billions of dollars of damage annually, according to the National Weather Service. A group, including several researchers ...
Earth Sciences
Jul 3, 2025
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Quantum computers still face a major hurdle on their pathway to practical use cases: their limited ability to correct the arising computational errors. To develop truly reliable quantum computers, researchers must be able ...
Quantum Physics
Jul 2, 2025
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Researchers from the HUN-REN Center for Ecological Research have developed a novel three-dimensional modeling method that accurately quantifies how microalgae affect underwater light conditions—one of the most critical ...
Ecology
Jun 24, 2025
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A team of meteorologists, Earth scientists and oceanographers at Sorbonne Université, working with one colleague from Université Paris-Saclay and another from Université Brest, all in France, has developed a simulation ...
Soil moisture is a key regulator of temperature and humidity, one that's positioned to be affected substantially by climate change. But despite the importance of soil moisture, efforts to model it involve dozens of poorly ...
Earth Sciences
May 23, 2025
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A research team from the Department of Energy's Oak Ridge National Laboratory, in collaboration with North Carolina State University, has developed a simulation capable of predicting how tens of thousands of electrons move ...
Condensed Matter
May 21, 2025
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Regional models are game changers when it comes to simulating extreme weather events, and they're particularly important for unique landscapes like Australia. While global climate models capture the big picture across the ...
Environment
May 19, 2025
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25
Computer simulations help materials scientists and biochemists study the motion of macromolecules, advancing the development of new drugs and sustainable materials. However, these simulations pose a challenge for even the ...
General Physics
May 10, 2025
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The Johns Hopkins Applied Physics Laboratory (APL) in Laurel, Maryland, recently released the results of the nation's first end-to-end Space Weather Tabletop Exercise (TTX), held in May 2024. The After-Action Report, published ...
Planetary Sciences
May 5, 2025
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Earth Day often calls to mind the environmentalists and activists leading the charge for a sustainable planet. But researchers like Leonardo Schultz and José Maria Cardoso da Silva at the University of Miami College of Arts ...
Environment
Apr 17, 2025
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