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GPE is a model equation for the ground-state single-particle wavefunction in a Bose–Einstein condensate. It is similar in form to the Ginzburg–Landau equation and is sometimes referred to as the " nonlinear Schrödinger equation ". The non-linearity of the Gross–Pitaevskii equation has its origin in the interaction between the particles ...
Pseudo-spectral method. Pseudo-spectral methods, [1] also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations. They are closely related to spectral methods, but complement the basis by an additional ...
List of physics mnemonics. A Magic Triangle image mnemonic - when the terms of Ohm's law are arranged in this configuration, covering the unknown gives the formula in terms of the remaining parameters. It can be adapted to similar equations e.g. F = ma, v = fλ, E = mcΔT, V = πr 2h and τ = rF sinθ. When a variable with an exponent or in a ...
General-purpose computing on graphics processing units (GPGPU, or less often GPGP) is the use of a graphics processing unit (GPU), which typically handles computation only for computer graphics, to perform computation in applications traditionally handled by the central processing unit (CPU). [1][2][3][4] The use of multiple video cards in one ...
Cross-platform. Type. Computer algebra system. License. New BSD License. Website. www.sympy.org. SymPy is an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3]
Relaxation methods are used to solve the linear equations resulting from a discretization of the differential equation, for example by finite differences. [ 2 ] [ 3 ] [ 4 ] Iterative relaxation of solutions is commonly dubbed smoothing because with certain equations, such as Laplace's equation , it resembles repeated application of a local ...
An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous time or discrete time. A typical algebraic Riccati equation is similar to one of the following: the continuous time algebraic Riccati equation (CARE): or the discrete time algebraic Riccati equation ...
Headquarters. Washington, D.C. Key people. Julia Gillard, Alice Albright, Laura Frigenti. Website. www.globalpartnership.org. The Global Partnership for Education (GPE) is a multi-stakeholder partnership that aims to strengthen global education. [1] Hosted by the World Bank, [2] GPE is the world's only partnership dedicated solely to funding ...