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.
Cities are particularly vulnerable to heat stress because paved and densely built-up areas tend to store heat. More frequent and intense heat waves are a growing challenge for public health and urban infrastructure.
Earth Sciences
Aug 26, 2025
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A new numerical modeling tool developed by researchers at the University of Toronto could help improve the design and operation of intermittent water distribution systems, which supply more than a billion people around the ...
Environment
Aug 22, 2025
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Simulations still can't predict exactly when an earthquake will happen, but with the incredible processing power of modern exascale supercomputers, they can now predict how they will happen and how much damage they will likely ...
Earth Sciences
Aug 19, 2025
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To study growth-defense trade-offs in the context of metabolism in crops, scientists from the Universities of Potsdam and Erlangen, Max Planck Institute of Molecular Plant Physiology, and the National Institute of Biology, ...
Molecular & Computational biology
Aug 11, 2025
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As Greenland's ice retreats, it's fueling tiny ocean organisms. To test why, scientists turned to a computer model from JPL and MIT that's been called a laboratory in itself.
Earth Sciences
Aug 6, 2025
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A UNSW-led global collaborative study has found most shoreline prediction models are effective at forecasting changes to natural, sandy beaches with an accuracy of approximately 10 meters.
Earth Sciences
Aug 4, 2025
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Researchers have devised a new machine learning method to improve large-scale climate model projections and demonstrated that the new tool makes the models more accurate at both the global and regional level. This advance ...
Earth Sciences
Jul 29, 2025
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In the same vein as weather forecast models that predict developing storms, researchers have now developed a method to predict the cell activity in tissues over time. The new software combines genomics technologies with computational ...
Cell & Microbiology
Jul 25, 2025
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It wasn't just data from maps, machines and rainfall readings that led CSIRO scientists to build Australia's most comprehensive and accurate flood model for the Richmond River catchment.
Environment
Jul 17, 2025
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A new 3D simulation tool developed by ETH and SLF researchers now allows for significantly more accurate predictions of complex alpine mass movements, supporting alpine risk management.
General Physics
Jul 7, 2025
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