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Linear multistep method

Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an initial point and then takes a short step forward in time to find the next solution point. The process continues with subsequent steps to map out the solution. Single-step methods (such as Euler's method) refer…

Art, Families of multistep methods & Analysis

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Linear multistep method

Nodes40
Edges39
Triples115
Avg. degree1.95
Density0.05
Components1

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Linear multistep method

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related to References · 75
Linear multistep method → Adams, Alfio, America, American Mathematical Monthly, An Attempt, An Introduction, Arieh, Bashforth, Berlin, BF01963532, Bibcode, BIT, Butcher, Cambridge, Cambridge University Press, Capillary Action, Century, Chicago Press, Convergence, CS1
related to Consistency and order · 13
Linear multistep method → Adams, All, Bashforth, Hairer, If, III, More, Moulton, Nørsett, Taylor, The, This, Wanner
related to Stability and convergence · 7
Linear multistep method → If, It, Kε, Mayers, Süli, The, This
related to Second Dahlquist barrier · 6
Linear multistep method → A-stable, Among, Dahlquist, Further, The, Thm
has method · 5
Linear multistep method → Adams, Bashforth, BDFs, Moulton, Three
related to First and second Dahlquist barriers · 5
Linear multistep method → A-stability, Dahlquist, Germund Dahlquist, The, These
is a · 1
Linear multistep method → method of the form y n
related to Analysis · 1
Linear multistep method → The

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method displaystyle methods multistep adams numerical linear order differential bashforth s-1 solution value equation equations step previous moulton one used

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SubjectPredicateObjectConfidenceSrc
Linear multistep methodis amethod of the form y n0.90text
Rungeinstance ofMethods0.80text
Newton's method are often used to solve the implicit formula.Sometimes an explicit multistep method is used toinstance ofIterative methods0.80text
Linear multistep methodhas methodThree0.60section
Linear multistep methodhas methodAdams0.60section
Linear multistep methodhas methodBashforth0.60section
Linear multistep methodhas methodMoulton0.60section
Linear multistep methodhas methodBDFs0.60section
Linear multistep methodrelated to AnalysisThe0.60section
Linear multistep methodrelated to Consistency and orderThe0.60section
Linear multistep methodrelated to Consistency and orderMore0.60section
Linear multistep methodrelated to Consistency and orderTaylor0.60section

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