
RADAU
 Referenced in 70 articles
[sw01118]
 RADAU5 implicit RungeKutta method of order 5 (Radau IIA) for problems of the form...

MIRKDC
 Referenced in 34 articles
[sw07159]
 RungeKutta (MIRK) formulas are implicit RungeKutta methods, for which the stages are defined...

RKC
 Referenced in 95 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 30 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 28 articles
[sw13385]
 performed using a third order RungeKutta method for the advective and forcing terms...

twpbvp
 Referenced in 19 articles
[sw10052]
 correction scheme based on MonoImplicit RungeKutta methods (MIRK...

DESIRE
 Referenced in 11 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...

GELDA
 Referenced in 33 articles
[sw00331]
 DAEs. In GELDA the BDF methods [1] and RungeKutta schemes [6],[7] are implemented...

LIMbook
 Referenced in 9 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...

pySDC
 Referenced in 13 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...

hgm R
 Referenced in 12 articles
[sw08770]
 numerical analysis such as the RungeKutta method of solving ordinary differential equations and efficient...

SERK2
 Referenced in 7 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...

ABDPACK
 Referenced in 12 articles
[sw01221]
 multiple shooting techniques and implicit RungeKutta methods for solving twopoint boundary value problems...

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

KPP
 Referenced in 10 articles
[sw10179]
 Forward, tangent linear, and adjoint RungeKutta methods in KPP2.2. This paper presents...

GniCodes
 Referenced in 8 articles
[sw21086]
 integrators, (partitioned) RungeKutta methods, composition and splitting methods, linear multistep methods, and algorithms ... Matlab codes for implicit RungeKutta, composition, and multistep methods. The final Section 5 gives...

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...

SROCK
 Referenced in 30 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...

FATODE
 Referenced in 5 articles
[sw11044]
 Fatode implements four families of methods: explicit RungeKutta for nonstiff problems, fully implicit Runge ... implicit RungeKutta, and Rosenbrock for stiff problems. Each family contains several methods with different ... orders of accuracy; users can add new methods by simply providing their coefficients. For each ... analysis capabilities in the context of RungeKutta methods. A wide range of applications...

ImplicitLNLMethods
 Referenced in 3 articles
[sw23184]
 implicitexplicit strong stability preserving RungeKutta methods with high linear order. Strong stability preserving ... known that implicit SSP RungeKutta methods exist only up to sixth order; however ... find implicit SSP RungeKutta methods of any linear order. In the current work ... find implicit SSP RungeKutta methods with high linear order...