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Spectral method

💡 Words with a Similar Meaning to "Spectral method"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
pseudo-spectral methodPseudo-spectral methods, also known as discrete variable representation methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations.
method of characteristicsIn mathematics, the method of characteristics is a technique for solving partial differential equations.
collocation methodIn mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations.
numerical integrationnoun(mathematics, computing) The study of numerical analysis algorithms to obtain approximate values of definite integrals.
finite difference methodIn numerical analysis, finite-difference methods are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences.
inverse scattering transformUsing a pair of differential operators, a 3-step algorithm may solve nonlinear differential equations; the initial solution is transformed to scattering data (direct scattering transform), the scattering data evolves forward in time (time evolution), and the scattering data reconstructs the solution forward in time (inverse scattering transform).
mathematical physicsMathematical physics refers to the development of mathematical methods for application to problems in physics.
computational scienceComputational science, also known as scientific computing, technical computing or scientific computation, is a division of science, and more specifically the Computer Sciences, which uses advanced computing capabilities to understand and solve complex physical problems.
applied mathematicsnoun(mathematics) Mathematics that is used to solve problems in other sciences such as physics, engineering or electronics.
euler methodnoun(differential equations) A method for numerically approximating the solution to an ordinary differential equation with a given initial value.
numerical methodIn numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems.
numerical relativityone of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems.
exponential integratorExponential integrators are a class of numerical methods for the solution of ordinary differential equations, specifically initial value problems.
mathematical analysisnoun(mathematics) The mathematical study of functions, sequences, series, limits, derivatives and integrals.
multigridnoun(mathematics, computing) A class of techniques for solving algebraic or differential equations that employs a hierarchy of discretizations
analytic number theorynoun(mathematics, number theory) A branch of number theory that uses methods from mathematical analysis to solve problems about the integers.
numerical analysisnoun(mathematics) The study of algorithms to solve mathematical problems concerning continuous sets of values (such as the real numbers, complex numbers or vector spaces).
computational physicsthe study and implementation of numerical analysis to solve problems in physics.
exact differential equationIn mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering.
split-step methodIn numerical analysis, the split-step (Fourier) method is a pseudo-spectral numerical method used to solve nonlinear partial differential equations like the nonlinear Schrödinger equation.

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