Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Perturbation_theory> ?p ?o. }
Showing items 1 to 54 of
54
with 100 items per page.
- Perturbation_theory abstract "Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related problem. Perturbation theory is applicable if the problem at hand cannot be solved exactly, but can be formulated by adding a "small" term to the mathematical description of the exactly solvable problem.Perturbation theory leads to an expression for the desired solution in terms of a formal power series in some "small" parameter – known as a perturbation series – that quantifies the deviation from the exactly solvable problem. The leading term in this power series is the solution of the exactly solvable problem, while further terms describe the deviation in the solution, due to the deviation from the initial problem. Formally, we have for the approximation to the full solution A, a series in the small parameter (here called ), like the following:In this example, would be the known solution to the exactly solvable initial problem and , ... represent the higher-order terms which may be found iteratively by some systematic procedure. For small these higher-order terms in the series become successively smaller. An approximate "perturbation solution" is obtained by truncating the series, usually by keeping only the first two terms, the initial solution and the "first-order" perturbation correction:".
- Perturbation_theory wikiPageExternalLink reg_pert.pdf.
- Perturbation_theory wikiPageExternalLink Multiple_Scale_Analysis.
- Perturbation_theory wikiPageID "102140".
- Perturbation_theory wikiPageRevisionID "601766697".
- Perturbation_theory hasPhotoCollection Perturbation_theory.
- Perturbation_theory subject Category:Asymptotic_analysis.
- Perturbation_theory subject Category:Computational_chemistry.
- Perturbation_theory subject Category:Concepts_in_physics.
- Perturbation_theory subject Category:Functional_analysis.
- Perturbation_theory subject Category:Mathematical_physics.
- Perturbation_theory subject Category:Ordinary_differential_equations.
- Perturbation_theory subject Category:Perturbation_theory.
- Perturbation_theory type Abstraction100002137.
- Perturbation_theory type Cognition100023271.
- Perturbation_theory type Communication100033020.
- Perturbation_theory type Concept105835747.
- Perturbation_theory type Content105809192.
- Perturbation_theory type DifferentialEquation106670521.
- Perturbation_theory type Equation106669864.
- Perturbation_theory type FundamentalPhysicsConcepts.
- Perturbation_theory type Idea105833840.
- Perturbation_theory type MathematicalStatement106732169.
- Perturbation_theory type Message106598915.
- Perturbation_theory type OrdinaryDifferentialEquations.
- Perturbation_theory type PsychologicalFeature100023100.
- Perturbation_theory type Statement106722453.
- Perturbation_theory comment "Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related problem.".
- Perturbation_theory label "Perturbation theory".
- Perturbation_theory label "Storingsrekening".
- Perturbation_theory label "Störungstheorie".
- Perturbation_theory label "Teoria de perturbações".
- Perturbation_theory label "Teoria perturbacji".
- Perturbation_theory label "Teoria perturbativa".
- Perturbation_theory label "Teoría perturbacional".
- Perturbation_theory label "Théorie des perturbations".
- Perturbation_theory label "Теория возмущений".
- Perturbation_theory label "摂動".
- Perturbation_theory label "摄动理论".
- Perturbation_theory sameAs Störungstheorie.
- Perturbation_theory sameAs Teoría_perturbacional.
- Perturbation_theory sameAs Théorie_des_perturbations.
- Perturbation_theory sameAs Teoria_perturbativa.
- Perturbation_theory sameAs 摂動.
- Perturbation_theory sameAs 섭동_이론.
- Perturbation_theory sameAs Storingsrekening.
- Perturbation_theory sameAs Teoria_perturbacji.
- Perturbation_theory sameAs Teoria_de_perturbações.
- Perturbation_theory sameAs m.0pwfy.
- Perturbation_theory sameAs Q10886678.
- Perturbation_theory sameAs Q10886678.
- Perturbation_theory sameAs Perturbation_theory.
- Perturbation_theory wasDerivedFrom Perturbation_theory?oldid=601766697.
- Perturbation_theory isPrimaryTopicOf Perturbation_theory.