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.
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 that ...
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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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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An international study published in Communications Earth & Environment has advanced earthquake simulations to better anticipate the rupture process of large earthquakes.
Earth Sciences
Apr 15, 2025
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AI has created a sea change in society; now, it is setting its sights on the sea itself. Researchers at Osaka Metropolitan University have developed a machine learning-powered fluid simulation model that significantly reduces ...
General Physics
Apr 3, 2025
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In-situ resource utilization will likely play a major role in any future long-term settlement of the moon. However, designing such a system in advance with our current level of knowledge will prove difficult, mainly because ...
Space Exploration
Apr 1, 2025
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