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 University of Alicante (UA) have developed a highly precise method for measuring distances at the nanometer scale at room temperature, opening up new avenues in molecular electronics research. The team, ...
Nanophysics
May 6, 2026
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In thermodynamics, an "adiabatic process" is a system change that transfers no heat in or out of the system. Any and all energy change in that system are therefore accomplished by doing work on the system, work being action ...
Every cell in the human body squeezes over six feet of DNA into a minuscule speck invisible to the naked eye—like compressing a whole house into a single sugar cube. In order to fit in a cell and remain organized, DNA is ...
Cell & Microbiology
Apr 29, 2026
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Researchers from Skoltech and the Shanghai Institute of Optics and Fine Mechanics have developed an approach that helps optimize the parameters of a laser-plasma source of attosecond pulses—ultrashort flashes of light used ...
General Physics
Apr 27, 2026
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Researchers have developed a new methodology that uses artificial intelligence tools to identify and count target viruses more efficiently than previous techniques. The new approach can be used in applications such as pharmaceutical ...
Biotechnology
Apr 23, 2026
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A new method developed at LMU overcomes fundamental resolution limits and may provide insights into high-temperature superconductivity. Physicist Dr. Sebastian Paeckel has developed a method that can be used to calculate ...
Superconductivity
Apr 22, 2026
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59
In about one out of every 1,000 pregnancies, the neural tube, a key nervous system structure, fails to close properly. Georgia Tech physicists are now helping explain why this happens, having uncovered the physics that drive ...
Cell & Microbiology
Apr 20, 2026
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In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions to nonlinear differential equations used to model turbulence.
General Physics
Apr 16, 2026
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University of Birmingham experts have created open-source computer software that helps scientists understand how fast-moving particles behave when they interact with electromagnetic waves in space. Understanding how these ...
Space Exploration
Apr 16, 2026
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Scientists from Skoltech and the University of Potsdam have developed a physical theory that sheds light on how molecular motors organize the three-dimensional structure of the genome. Using theoretical polymer physics and ...
Molecular & Computational biology
Apr 16, 2026
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