RungeKutta Methods

Integreat provide a wide selection of function to initialize, derive, and analyze RungeKutta methods.

Core

RK  ▪  RKCompose  ▪  RKA  ▪  RKB  ▪  RKDenseOutput  ▪  RKC  ▪  RKBHat  ▪  RKStages  ▪  RKPrimary  ▪  RKEmbedded  ▪  RKPairQ  ▪  RKCollocation  ▪  RKExtrapolate

Order Conditions

RKOrderConditions  ▪  RKSimplifyingAssumptionB  ▪  RKSimplifyingAssumptionC  ▪  RKSimplifyingAssumptionD  ▪  RKOrder  ▪  RKErrorA  ▪  RKErrorB  ▪  RKErrorC  ▪  RKErrorD  ▪  RKErrorE

Linear Stability

RKLinearStability  ▪  RKLinearStabilityPlot  ▪  RKOrderStarPlot  ▪  RKLinearStabilityP  ▪  RKLinearStabilityQ  ▪  RKEPolynomial  ▪  RKIStable  ▪  RKAStable

Nonlinear Stability

RKAlgebraicStabilityMatrix  ▪  RKAlgebraicallyStableQ  ▪  RKAbsoluteMonotonicityRadius

Dissipation and Dispersion

RKDispersionError  ▪  RKDispersionOrder  ▪  RKDissipationError  ▪  RKDissipationOrder

Symmetry

RKReflection  ▪  RKTranspose

Simplify

RKDJReduce  ▪  RKDJReducibleQ