***(1964)introduced RK methods based on the Radau and Lobatto quadrature formula. He called them processes of type Ⅰ, Ⅱ,Ⅲaccordingto whether the abscissae c1,….,cx are the zeros of
***(1964)introduced RK methods based on the Radau and Lobatto quadrature formula. He called them processes of type Ⅰ, Ⅱ,Ⅲaccordingto whether the abscissae c1,….,cx are the zeros of
The GP-stability of θ-methods for the numerical solution of systems of delay differential equations is considered,The stability behavior of θ-methods is analyzed for multiple delay *** prove that θ-methods with the...
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The GP-stability of θ-methods for the numerical solution of systems of delay differential equations is considered,The stability behavior of θ-methods is analyzed for multiple delay *** prove that θ-methods with the Lagrange interpolation process is GP-stable if and only if 1/2≤θ≤*** one-leg θ-methods is GP-stable if and only if θ=1.
Solving the pantograph equation numerically is more complicated due to the existence of the pantograph *** paper generalizes Rosenbrock methods for ordinary differential equations,and applies Rosenbrock methods with v...
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Solving the pantograph equation numerically is more complicated due to the existence of the pantograph *** paper generalizes Rosenbrock methods for ordinary differential equations,and applies Rosenbrock methods with variable stepsize to the system:to investigate the numerical stability,then obtains main result stable condition of the method,also studies the behavior of numerical solution,which include convergence and boundedness.
This paper deals with H-stability of Runge-Kutta methods with variable stepsize for pantograph *** is shown that the Runge-Kutta methods with a regular matrix A are H-stable if and only if the modulus of stability fun...
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This paper deals with H-stability of Runge-Kutta methods with variable stepsize for pantograph *** is shown that the Runge-Kutta methods with a regular matrix A are H-stable if and only if the modulus of stability function at infinity is less than 1.
This paper deals with the relationship between the asymptotic behavior of numerical simulations by numerical methods and that of the true solution itself for fixed *** solution is viewed as a dynamical system in which...
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This paper deals with the relationship between the asymptotic behavior of numerical simulations by numerical methods and that of the true solution itself for fixed *** solution is viewed as a dynamical system in which the step-size acts as a *** present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.
This paper studies the problem of tracking a ballistic object in reentry phase from radar observations.A model with highly nonlinear state and measurement equations is considered and the theoretical Cramer-Rao lower b...
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This paper studies the problem of tracking a ballistic object in reentry phase from radar observations.A model with highly nonlinear state and measurement equations is considered and the theoretical Cramer-Rao lower bounds(CRLB) of estimation error are *** our work three suboptimal filters are designed and their error performances are compared with *** frequently used filters in nonlinear filtering problems as the extended Kalman filter and the unscented Kalman filter,A new filter combined reduced sigma point unscented transformation with classical Kalman filter is ***,simulation results favor the last that keeps the balance of good accuracy and tolerable computational complexity.
The index-2 differential-algebraic equations (DAEs) often arise in many practical *** numerical methods for solving DAEs,multistep and multivlaue methods are very *** authors have done a series of work on linear multi...
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The index-2 differential-algebraic equations (DAEs) often arise in many practical *** numerical methods for solving DAEs,multistep and multivlaue methods are very *** authors have done a series of work on linear multistep methods,block methods,predictor-corrector methods and multivlaue methods applied to index-2 DAEs,and developed some robust and efficient mathematical softwares (such as DASSL,LSODI,SPRINT etc).
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