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.
An international collaborative research group has developed a new computational method to visualize the electronic states of aperiodic nanomaterials as band structures through first-principles calculations on finite-sized ...
Nanomaterials
Jun 10, 2026
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Using a novel simulation model based on machine learning, an international research team at GSI/FAIR has succeeded in gaining a deeper understanding of element formation in stellar events such as neutron star mergers. For ...
Astronomy
Jun 8, 2026
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Quantum computers, systems that process information leveraging quantum mechanical effects, have the potential of outperforming classical computers on some tasks. Despite their potential, the use of these systems remains very ...
Studying physics can be very useful—even when it comes to machine learning. A digital "super-brain" with built-in knowledge of the fundamental laws of nature can speed up the development of optical components for everything ...
Nanophysics
Jun 4, 2026
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Numerical simulations in physics often require estimating a multitude of parameters, making the process computationally expensive and complex. Researchers at University of Tsukuba have introduced a new method called the multiparameter ...
General Physics
Jun 2, 2026
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A research team from Tohoku University, Shin-Etsu Chemical Co., Ltd., and École Polytechnique Fédérale de Lausanne (EPFL) has invented a new way to efficiently guide spin waves around sharp corners with minimal loss—representing ...
Condensed Matter
May 28, 2026
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Researchers at the Helmholtz-Zentrum Dresden-Rossendorf (HZDR) have developed a new procedure, enabling them to speed up elaborate computer simulations that analyze matter under extreme conditions. In particular, this work ...
Condensed Matter
May 26, 2026
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Using a conventional computer and cutting-edge mathematical tools and code, physicists at the Center for Computational Quantum Physics (CCQ) at the Simons Foundation's Flatiron Institute and collaborators at Boston University ...
Quantum Physics
May 21, 2026
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Researchers at Clarkson University are advancing the use of artificial intelligence and computational physics to accelerate discovery of next-generation materials for quantum technologies, optoelectronics, and renewable energy ...
Nanophysics
May 19, 2026
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Scientists from the Institute of Vertebrate Paleontology and Paleoanthropology (IVPP) of the Chinese Academy of Sciences have uncovered new information suggesting a potential connection between Homo erectus and modern humans, ...
Evolution
May 13, 2026
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