Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A One-step Method of Order 10 for y″ = f(x, y) - MaRDI portal

A One-step Method of Order 10 for y″ = f(x, y)

From MaRDI portal
Publication:3940754

DOI10.1093/imanum/2.1.83zbMath0482.65042OpenAlexW2064243214MaRDI QIDQ3940754

Ernst Hairer

Publication date: 1982

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/2.1.83




Related Items

Solving the telegraph and oscillatory differential equations by a block hybrid trigonometrically fitted algorithmA family of implicit Chebyshev methods for the numerical integration of second-order differential equationsContinuous parallel-iterated RKN-type PC methods for nonstiff IVPsBlock hybrid method using trigonometric basis for initial value problems with oscillating solutionsA trigonometrically fitted block method for solving oscillatory second-order initial value problems and Hamiltonian systemsAn analytical theory for the orbit of NereidExplicit symmetric Runge-Kutta-Nyström methods for parallel computersA feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computationHigh order Runge--Kutta--Nyström codes for the integration of oscillatory problems.A general class of explicit pseudo--two-step RKN methods on parallel computersIntegrating oscillatory general second-order initial value problems using a block hybrid method of order 11A continuous two-step method of order 8 with a block extension for \(y= f(x,y,y')\)Fast convergence pirkn-type pc methods with adams-type predictorsHigh-order continuous third derivative formulas with block extensions fory″=f(x, y, y′)Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPsExplicit pseudo two-step RKN methods with stepsize controlFunctionally fitted block method for solving the general oscillatory second-order initial value problems and hyperbolic partial differential equationsTrigonometric symmetric boundary value method for oscillating solutions including the sine-Gordon and Poisson equationsImplicit third derivative Runge-Kutta-Nyström method with trigonometric coefficientsExplicit parallel two-step Runge-Kutta-Nyström methodsContinuous approximation with embedded Runge-Kutta-Nyström methodsParallel block pc methods with rkn-type correctors and adams-type predictorsEin Runge-Kutta-Nyström-Formelpaar der ordnung 11(12) für Differentialgleichungen der Form \(y=f(x,y)\)A family of trigonometrically fitted Enright second derivative methods for stiff and oscillatory initial value problemsEin 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 computersTwo-step-by-two-step PIRKN-type PC methods based on Gauss-Legendre collocation points for nonstiff IVPsNew 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 predictorsParallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs