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 solution to a tricky groundwater riddle from Australia: Researchers at TU Wien have developed numerical models to simulate the movement of fluids in porous materials.
Soft Matter
Nov 4, 2025
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It's a plot device beloved by science fiction: our entire universe might be a simulation running on some advanced civilization's supercomputer. But new research from UBC Okanagan has mathematically proven this isn't just ...
General Physics
Oct 30, 2025
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Floods account for up to 40% of weather-related disasters worldwide, and their frequency has more than doubled since 2000, according to a recent report from the United Nations Office for Disaster Risk Reduction. Global flood ...
Environment
Oct 27, 2025
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Brazilian researchers have developed a technique that estimates the force exerted on each grain of sand in a dune from images. This method, which is based on numerical simulations and artificial intelligence (AI), transforms ...
Earth Sciences
Oct 23, 2025
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Accurately modeling gross primary productivity (GPP) and evapotranspiration (ET) in terrestrial ecosystems is essential for understanding and predicting the global carbon and water cycles. However, current models face considerable ...
Earth Sciences
Oct 13, 2025
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If you've ever traveled through drylands, you may have noticed striking vegetation patterns—stripes, spots, or rings—scattered across otherwise barren landscapes. From "tiger bush" in West Africa to the enigmatic "fairy circles" ...
Ecology
Oct 9, 2025
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Modelers have demonstrated that artificial intelligence (AI) models can produce climate simulations with more efficiency than physics-based models. However, many AI models are trained on past climate data, making it difficult ...
Earth Sciences
Oct 9, 2025
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The Gulf of Mexico, a regional ocean, is hugged by the southeastern United States and a large stretch of the Mexican coast, making it very important for both countries. The area helps bring goods to local and global markets, ...
Earth Sciences
Oct 8, 2025
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Scientists are increasingly turning to AI to model future changes in the climate. However, existing approaches often face a trade-off between accuracy, speed, and computational cost.
Environment
Oct 6, 2025
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An international research collaboration has harnessed supercomputing power to better understand how massive slabs of ancient ocean floors are shaped as they sink hundreds of kilometers below Earth's surface.
Earth Sciences
Oct 3, 2025
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