Keywords: مشکلات مداری; Orbital problems; Oscillatory differential systems; Explicit two-step hybrid methods; Dissipation error; Dispersion error
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An eight-step semi-embedded predictor–corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown
Keywords: مشکلات مداری; 65L05Second-order IVPs; Orbital problems; Multistep; Kepler problem; Predictor–corrector; Semi-embedded
A new phase-fitted eight-step symmetric embedded predictor–corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions
Keywords: مشکلات مداری; Orbital problems; Second-order IVPs; Kepler problem; NN-body problem; Schrödinger equation; Multistep methods; Phase-lag; Predictor–corrector
ERKN methods for long-term integration of multidimensional orbital problems
Keywords: مشکلات مداری; Orbital problems; Structure preservation; Oscillatory systems; Extended Runge–Kutta–Nyström methods
Novel improved multidimensional Störmer–Verlet formulas with applications to four aspects in scientific computation
Keywords: مشکلات مداری; Schrödinger equations; Wave equations; Orbital problems; Fermi–Pasta–Ulam problem; Structure–preserving algorithms; Improved multidimensional Störmer–Verlet formulas
A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions
Keywords: مشکلات مداری; Schrödinger equation; Orbital problems; Phase-lag; Initial value problems; Oscillating solution; Symmetric; Multistep; Predictor-corrector;
Closed Newton–Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
Keywords: مشکلات مداری; Numerical methods; Orbital problems; Closed Newton–Cotes differential methods; Symplectic integrators; Trigonometric fitting; Energy preservation
High order closed Newton–Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
Keywords: مشکلات مداری; Numerical methods; Orbital problems; Closed Newton–Cotes differential methods; Symplectic integrators; Multistep methods; Trigonometric fitting; Energy preservation; Error analysis; Schrödinger equation
High-order closed Newton–Cotes trigonometrically-fitted formulae for long-time integration of orbital problems
Keywords: مشکلات مداری; 02.60; 02.70.Bf; 95.10.Ce; 95.10.Eg; 95.75.PqNumerical methods; Orbital problems; Closed Newton–Cotes differential methods; Symplectic integrators; Multistep methods; Trigonometric fitting; Energy preservation
A trigonometrically fitted explicit hybrid method for the numerical integration of orbital problems
Keywords: مشکلات مداری; Trigonometrical-fitting; Two-step hybrid method; Orbital problems;
An embedded exponentially fitted Runge–Kutta–Nyström method for the numerical solution of orbital problems
Keywords: مشکلات مداری; 02.60; 02.70.Bf; 95.10.Ce; 95.10.Eg; 95.75.PqExponential fitting; Initial-value problems; Oscillating solutions; Orbital problems; Explicit Runge–Kutta–Nyström methods; Variable stepsize algorithms
An optimized Runge-Kutta method for the solution of orbital problems
Keywords: مشکلات مداری; 65L05; 65L06; Dispersion; Dissipation; Orbital problems; Runge-Kutta; Explicit methods;
A trigonometrically fitted Runge-Kutta method for the numerical solution of orbital problems
Keywords: مشکلات مداری; 0.260; 95.10.E; Trigonometrical-fitting; Exponential-fitting; Orbital problems; Runge-Kutta; Explicit methods;
A fifth algebraic order trigonometrically-fitted modified runge-kutta zonneveld method for the numerical solution of orbital problems
Keywords: مشکلات مداری; Trigonometrically-fitting; Exponential-fitting; Runge-Kutta methods; Orbital problems;