Numerical techniques are computational methods for approximating solutions to mathematical problems that lack closed-form expressions or are analytically intractable. They encompass algorithms for root finding, numerical integration and differentiation, solution of linear and nonlinear systems, eigenvalue problems, optimization, and numerical solution of ordinary and partial differential equations. These techniques rely on discretization, iteration, and error analysis, with careful attention to stability, convergence, conditioning, and computational complexity. They are implemented using floating-point arithmetic and often exploit matrix factorizations, interpolation, finite difference, finite element, or spectral methods to achieve controllable accuracy within specified tolerances.
Researchers at the California NanoSystems Institute at UCLA published a step-by-step framework for determining the three-dimensional positions and elemental identities of atoms in amorphous materials. These solids, such as ...
Nanophysics
Jan 28, 2026
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An old puzzle in particle physics has been solved: How can quantum field theories be best formulated on a lattice to optimally simulate them on a computer? The answer comes from AI.
General Physics
Jan 26, 2026
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In inertial confinement fusion, a capsule of fuel begins at temperatures near zero and pressures close to vacuum. When lasers compress that fuel to trigger fusion, the material heats up to millions of degrees and reaches ...
General Physics
Jan 22, 2026
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Professor Dallas Trinkle and colleagues have provided the first quantitative explanation for how magnetic fields slow carbon atom movement through iron, a phenomenon first observed in the 1970s but never fully understood. ...
General Physics
Jan 13, 2026
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30
Researchers have developed a powerful computational framework that shows how carefully optimized nanotube shapes can amplify electromagnetic field concentration by more than 30 times compared to conventional circular nanotubes. ...
Nanophysics
Dec 23, 2025
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Scientists from Tokyo Metropolitan University have re-engineered the popular Lattice-Boltzmann Method (LBM) for simulating the flow of fluids and heat, making it lighter and more stable than the state-of-the-art.
General Physics
Dec 15, 2025
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If you're a soccer fan, you're familiar with this common sight: A penalty kick is in place, with a "wall" of defenders lined up in front of the goal, ready to leap to try to block the ball if it sails overhead.
General Physics
Dec 10, 2025
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9
ACM, the Association for Computing Machinery, today presented a 26-member team with the ACM Gordon Bell Prize for Climate Modeling in recognition of their project "Computing the Full Earth System at 1 km Resolution." The ...
Earth Sciences
Nov 21, 2025
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Researchers from Turku Bioscience Center at the University of Turku, Finland, have developed a new computational method to interpret complex single-cell data. The method helps researchers identify and group cell types across ...
Cell & Microbiology
Nov 17, 2025
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While grapes are being harvested throughout Italy, the Politecnico di Milano is looking to the future of viticulture with an innovative approach that combines mechanics, IT and digital simulation. A team of researchers from ...
Biotechnology
Nov 11, 2025
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