
RADAU
 Referenced in 63 articles
[sw01118]
 RADAU5 implicit RungeKutta method of order 5 (Radau IIA) for problems of the form...

MIRKDC
 Referenced in 33 articles
[sw07159]
 RungeKutta (MIRK) formulas are implicit RungeKutta methods, for which the stages are defined...

RKC
 Referenced in 76 articles
[sw00808]
 solver for parabolic PDEs. An explicit RungeKuttaChebychev algorithm for parabolic partial differential equations ... tested. This method exploits some remarkable properties of a class of RungeKutta formulas ... stage (s≥2) method is discussed and analytical expressions for its coefficients are derived...

RADAR5
 Referenced in 23 articles
[sw08709]
 Implementing Radau IIA methods for stiff delay differential equations. This article discusses the numerical solution ... encounted in the implementation of implicit RungeKutta methods are explained, and it is shown...

SIMSON
 Referenced in 23 articles
[sw13385]
 performed using a third order RungeKutta method for the advective and forcing terms...

twpbvp
 Referenced in 16 articles
[sw10052]
 correction scheme based on MonoImplicit RungeKutta methods (MIRK...

GELDA
 Referenced in 31 articles
[sw00331]
 DAEs. In GELDA the BDF methods [1] and RungeKutta schemes [6],[7] are implemented...

DESIRE
 Referenced in 10 articles
[sw09193]
 DESIRE: Diagonally extended singly implicit RungeKutta effective order methods. In the last approximatly ... years many classes of singlyimplicit RungeKutta methods (SIRK) have been developed. More general ... DESI) methods. A generalization in a different direction are the effective SIRK methods (ESIRK ... DESIRE (diagonally extended singlyimplicit RungeKutta effective order methods). The idea is to combine...

DKLAG6
 Referenced in 11 articles
[sw01068]
 based on continuously imbedded sixthorder RungeKutta methods for the solution of statedependent...

ABDPACK
 Referenced in 10 articles
[sw01221]
 multiple shooting techniques and implicit RungeKutta methods for solving twopoint boundary value problems...

KPP
 Referenced in 9 articles
[sw10179]
 Forward, tangent linear, and adjoint RungeKutta methods in KPP2.2. This paper presents...

WENOCLAW
 Referenced in 8 articles
[sw07611]
 notions of wave propagation and the method of lines, and can in principle be extended ... solver. In this work, we use RungeKutta methods...

hgm R
 Referenced in 7 articles
[sw08770]
 numerical analysis such as the RungeKutta method of solving ordinary differential equations and efficient...

SERK2
 Referenced in 4 articles
[sw10426]
 secondorder stabilized explicit RungeKutta method for stiff problems. Traditionally, explicit numerical algorithms have ... ODEs with very large dimension. Stabilized RungeKutta methods (also called RungeKuttaChebyshev methods ... avoid these difficulties. The RungeKutta methods are explicit methods with extended stability domains, usually...

pySDC
 Referenced in 7 articles
[sw16754]
 slow dynamics are resolved. The method causes little numerical diffusion and its semidiscrete phase speed ... Kutta (DIRK) and implicitexplicit (IMEX) RungeKutta methods and found to be competitive...

butcher
 Referenced in 5 articles
[sw12683]
 gives the order conditions that a RungeKutta method must satisfy...

radau5
 Referenced in 5 articles
[sw13226]
 implementation of a fifth order implicit RungeKutta method with 3 stages (RADAU IIA), stepsize...

SROCK
 Referenced in 21 articles
[sw11792]
 equations (SDEs). These methods, called SROCK (for stochastic orthogonal RungeKutta Chebyshev), are explicit ... much more efficient than the standard explicit methods proposed so far for stochastic problems...

TRBDF2
 Referenced in 17 articles
[sw03446]
 This method can be viewed as an embedded diagonally implicit RungeKutta pair of orders ... examples show the effectiveness of the refined method...

LIMbook
 Referenced in 2 articles
[sw14520]
 branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution ... basic knowledge of numerical quadrature and RungeKutta methods, this selfcontained book begins with ... introduction to the line integral methods. It describes numerous Hamiltonian problems encountered in a variety ... line integral methods: the energyconserving RungeKutta methods, also known as Hamiltonian boundary value...