Keywords: روش های عمومی خطی; Hamiltonian systems; General linear methods; Second derivative methods; Symmetric methods; G-symplecticity; Reversible problems;
مقالات ISI روش های عمومی خطی (ترجمه نشده)
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Keywords: روش های عمومی خطی; General linear methods; Implicit-explicit methods; Stage order and order conditions; Local discretization errors; Error propagation; Stability analysis;
Keywords: روش های عمومی خطی; General linear methods; Order conditions; Starting procedures; Generalized Runge-Kutta methods;
Keywords: روش های عمومی خطی; General linear methods; Order conditions; Linear stability analysis; Prothero-Robinson problem; Stiff differential systems; Order reduction phenomenon;
Keywords: روش های عمومی خطی; Volterra integral equations; General linear methods; Order conditions; AA-stability; V0V0-stability; V0(α)V0(α)-stability
Keywords: روش های عمومی خطی; 65L05; 65L20; General linear methods; Order and stage order; Order conditions; A- and L-stability; Construction of highly stable methods; Error propagation;
Keywords: روش های عمومی خطی; Hamiltonian problems; General linear methods; Second derivative methods; G-symplecticity; Parasitism
Efficient general linear methods for a class of Volterra integro-differential equations
Keywords: روش های عمومی خطی; Volterra integro-differential equations; General linear methods; Gregory quadrature rule; Linear stability analysis; Convergence;
Strong stability preserving transformed DIMSIMs
Keywords: روش های عمومی خطی; General linear methods; DIMSIMs; Transformed methods; Monotonicity; Strong stability preserving; Construction of methods;
Construction of IMEX DIMSIMs of high order and stage order
Keywords: روش های عمومی خطی; IMEX methods; General linear methods; DIMSIMs; Stability analysis; Optimization methods; Construction of highly stable methods;
A new approach to the construction of DIMSIMs of high order and stage order
Keywords: روش های عمومی خطی; General linear methods; Nordsieck representation; Error estimation; Error control; Differential evolution;
Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs
Keywords: روش های عمومی خطی; Stiff differential equations; General linear methods; Second derivative methods; AA- and LL- stability; Quadratic stability
A general framework for the numerical solution of second order ODEs
Keywords: روش های عمومی خطی; Second order ordinary differential equations; General linear methods; Nyström methods; MEBDF methods
Implementation of Nordsieck second derivative methods for stiff ODEs
Keywords: روش های عمومی خطی; Stiff differential equations; General linear methods; Second derivative methods; Runge–Kutta stability; A- and L-stability; Local error estimation; Variable stepsize implementation
PP-stable general Nyström methods for y″=f(y(t))y″=f(y(t))
Keywords: روش های عمومی خطی; Second order ordinary differential equations; General linear methods; Linear stability analysis; PP-stability
Construction of algebraically stable DIMSIMs
Keywords: روش های عمومی خطی; General linear methods; Order conditions; Algebraic stability
On the construction of second derivative diagonally implicit multistage integration methods for ODEs
Keywords: روش های عمومی خطی; General linear methods; Two-derivative methods; Ordinary differential equation; Order conditions; A- and L-stability; Runge-Kutta stability;
Explicit Nordsieck methods with extended stability regions
Keywords: روش های عمومی خطی; Explicit Nordsieck methods; General linear methods; Order conditions; Region of absolute stability;
Perturbed MEBDF methods
Keywords: روش های عمومی خطی; MEBDF methods; General linear methods; Stability analysis; AA-stability; A(α)A(α)-stability
Nordsieck methods with computationally verified algebraic stability
Keywords: روش های عمومی خطی; Nordsieck methods; General linear methods; Order conditions; Algebraic stability;
General linear methods for Volterra integral equations
Keywords: روش های عمومی خطی; General linear methods; Volterra integral equations; Order conditions; Linear stability analysis; Convolution test equation
On the order of general linear methods
Keywords: روش های عمومی خطی; General linear methods; Order conditions; Ordinary differential equations
Two-step hybrid collocation methods for y″=f(x,y)y″=f(x,y)
Keywords: روش های عمومی خطی; Ordinary differential equations; General linear methods; Two-step collocation methods; Hybrid methods; Linear stability analysis
Nonlinear stability of general linear methods for neutral delay differential equations
Keywords: روش های عمومی خطی; Nonlinear neutral delay differential equations; General linear methods; Numerical stability; Algebraic stability
Explicit two-step peer methods
Keywords: روش های عمومی خطی; Explicit peer methods; Nonstiff ODE systems; Zero stability; Stability region; General linear methods
Stability analysis of general linear methods for nonlinear neutral delay differential equations
Keywords: روش های عمومی خطی; Neutral delay differential equations; General linear methods; Stability; Asymptotic stability;
Rosenbrock-type 'Peer' two-step methods
Keywords: روش های عمومی خطی; Stiff ODEs; Rosenbrock methods; General linear methods; Peer method;
B-theory of general linear methods for Volterra functional differential equations
Keywords: روش های عمومی خطی; Functional differential equations; General linear methods; B-stability; B-convergence;