Keywords: روش های چند مرحله ای; 65L05; 65L06; 65L20; 65M20Initial value problem; Method of lines (MOL); Multistep methods; Monotonicity; Boundedness; Strong-stability-preserving (SSP)
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Keywords: روش های چند مرحله ای; Multiple time-stepping (MTS); Local time-stepping (LTS); Multistep methods; Grid-induced stiffness; Exponential integrator; Discontinuous Galerkin time-domain (DGTD); Maxwell's equations;
Keywords: روش های چند مرحله ای; Power sums; One-sided inequality; Sums of cosines; Littlewood conjecture; Multistep methods
Runge-Kutta restarters for multistep methods in presence of frequent discontinuities
Keywords: روش های چند مرحله ای; Multistep methods; Runge-Kutta methods; Discontinuities; Error estimation;
Using Multistep Methods in Slicing 2 ½ Dimensional Parametric Surfaces for Additive Manufacturing Applications
Keywords: روش های چند مرحله ای; Bezier Surface; additive manufacturing; slicing; multistep methods; Adam Bashforth;
Trapezoidal methods for fractional differential equations: Theoretical and computational aspects
Keywords: روش های چند مرحله ای; 34A08; 65L05; 65L20Fractional differential equations; Multistep methods; Trapezoidal method; Stability; Computational aspects
A new phase-fitted eight-step symmetric embedded predictor–corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions
Keywords: روش های چند مرحله ای; Orbital problems; Second-order IVPs; Kepler problem; NN-body problem; Schrödinger equation; Multistep methods; Phase-lag; Predictor–corrector
A two-step, fourth-order method with energy preserving properties
Keywords: روش های چند مرحله ای; Ordinary differential equations; Mono-implicit methods; Multistep methods; One-leg methods; Canonical Hamiltonian problems; Hamiltonian boundary value methods; Energy preserving methods; Energy drift
A new approach for multistep numerical methods in several frequencies for perturbed oscillators
Keywords: روش های چند مرحله ای; Numerical solutions of ODE’s; Perturbed oscillators; Initial value problems; Stiff problems; Highly oscillatory problems; Multistep methods
Semi-Lagrangian multistep exponential integrators for index 2 differential–algebraic systems
Keywords: روش های چند مرحله ای; Exponential integrators; Multistep methods; Semi-Lagrangian
Multistep numerical methods for the integration of oscillatory problems in several frequencies
Keywords: روش های چند مرحله ای; Numerical solutions of ODE’s; Multistep methods; Perturbed oscillators
High order closed Newton–Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
Keywords: روش های چند مرحله ای; Numerical methods; Orbital problems; Closed Newton–Cotes differential methods; Symplectic integrators; Multistep methods; Trigonometric fitting; Energy preservation; Error analysis; Schrödinger equation
Explicit advanced step-point (EAS) methods and the EAS2 multistep scheme for the solution of non-stiff initial value problems
Keywords: روش های چند مرحله ای; Non-stiff initial value problems; Explicit advanced step-point (EAS) methods; EAS2 methods; Multistep methods; Predictor-corrector methods; Absolute stability; Local error estimates; Adams methods;
High-order closed Newton–Cotes trigonometrically-fitted formulae for long-time integration of orbital problems
Keywords: روش های چند مرحله ای; 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
Numeric multistep variable methods for perturbed linear system integration
Keywords: روش های چند مرحله ای; Perturbed linear system of ODE’s; Multistep methods; Perturbed oscillators
Special multistep methods based on numerical differentiation for solving the initial value problem
Keywords: روش های چند مرحله ای; Multistep methods; Special multistep methods; Numerical differentiation; Initial value problem; Absolute stability
Variable stepsize implementation of multistep methods for y″=f(x,y,y′)y″=f(x,y,y′)
Keywords: روش های چند مرحله ای; Variable stepsize; Second-order differential equations; Multistep methods
Variable stepsize störmer-cowell methods
Keywords: روش های چند مرحله ای; Variable step size; Second-order differential equations; Multistep methods;
A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions
Keywords: روش های چند مرحله ای; 65L05; 65L06; Numerical solution; Initial value problems (IVPs); Adams-Bashforth methods; Adams-Moulton methods; Predictor-corrector (P-C) methods; Trigonometric fitting; Multistep methods;
Nonlinear operator integration factor splitting for the shallow water equations
Keywords: روش های چند مرحله ای; Integration factor; Multistep methods; High-order; Spectral elements;