Klassische Runge-Kutta-Nyström-Formeln mit SchrittweitenKontrolle für Differentialgleichungen \(\ddot x= f(t,x)\)
From MaRDI portal
Publication:2560706
DOI10.1007/BF02242243zbMath0261.65046OpenAlexW3160618478MaRDI QIDQ2560706
Publication date: 1972
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02242243
Related Items
Note on the performance of direct and indirect Runge-Kutta-Nyström methods ⋮ A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems ⋮ Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ Explicit symmetric Runge-Kutta-Nyström methods for parallel computers ⋮ Parallel linear system solvers for Runge-Kutta-Nyström methods ⋮ Continuous extensions to Nyström methods for second order initial value problems ⋮ Economical handling of Runge-Kutta-Nyström step rejection ⋮ Arbitrary order numerical solutions conserving the Jacobi constant in the motion near the equilibrium points ⋮ A general class of explicit pseudo--two-step RKN methods on parallel computers ⋮ Oscillatory Störmer-Cowell methods ⋮ Parallel diagonally implicit Runge-Kutta-Nyström methods ⋮ Nested Runge--Kutta methods for the differential equation \(y = f(x,y)\) ⋮ Fast convergence pirkn-type pc methods with adams-type predictors∗ ⋮ On the generalisation of Padé approximation approach for the construction of \(p\)-stable hybrid linear multistep methods ⋮ \(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers ⋮ Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPs ⋮ Klassische Runge-Kutta-Nyström-Formeln mit Schrittweiten-Kontrolle für Differentialgleichungen \(\ddot x=f(t,x,\dot x)\) ⋮ Explicit pseudo two-step RKN methods with stepsize control ⋮ Verallgemeinerte \(k\)-Schrittverfahren der Ordnung \(p=3k-m+2\) und der Ordnung \(p=2k-m+1\) zur numerischen Lösung von Anfangswertaufgaben bei Differentialgleichungen \(m\)-ter Ordnung der Form \(y^{(m)}=f(x,y)\) ⋮ Generalized Laguerre pseudospectral method based Laguerre interpolation ⋮ On the solution of two-point linear differential eigenvalue problems ⋮ Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations ⋮ Explicit parallel two-step Runge-Kutta-Nyström methods ⋮ Scaled runge-kutta-nyström methods for the second order differential equationÿ=f(x,y) ⋮ Parallel block pc methods with rkn-type correctors and adams-type predictors∗ ⋮ Ein Runge-Kutta-Nyström-Formelpaar der ordnung 11(12) für Differentialgleichungen der Form \(y=f(x,y)\) ⋮ Ein Runge-Kutta-Nyström-Formelpaar der Ordnung 11(12) für Differentialgleichungen der Form \(y=f(x,y)\) ⋮ Explicit, high-order Runge-Kutta-Nyström methods for parallel computers ⋮ Two-step-by-two-step PIRKN-type PC methods based on Gauss-Legendre collocation points for nonstiff IVPs ⋮ A direct method for the numerical solution of \(y=f(x,y)\) ⋮ New Runge-Kutta-Nyström formula-pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form \(y=f(x,y)\) ⋮ RKN-type parallel block PC methods with Lagrange-type predictors ⋮ Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs ⋮ Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems
Cites Work