Runge–Kutta Solutions of Stiff Differential Equations Near Stationary Points
نویسندگان
چکیده
منابع مشابه
Stationary and Periodic Solutions of Differential Equations
A stochastic process ξ(t) = ξ(t,ω) (−∞ < t < ∞) with values in R is said to be stationary (in the strict sense) if for every finite sequence of numbers t1, . . . , tn the joint distribution of the random variables ξ(t1 + h), . . . , ξ(tn + h) is independent of h. If we replace the arbitrary number h by a multiple of a fixed number θ , h= kθ (k =±1,±2, . . . ), we get the definition of a periodi...
متن کاملAlmost Periodic Solutions for Systems of Differential Equations near Points of Nonlinear First Approximation
are known provided the characteristic values of the matrix a = (aif) have nonzero real parts; cf., for example, [l]. Here the r¿ are uniformly a.p. in t for (x,-, • • • , x„) in some region of Euclidean «-space. Amerio [3] has obtained such conditions for somewhat more specialized systems where some characteristic values of A may be pure imaginary; however, all must be distinct from zero. In ca...
متن کاملAnalytic Solutions of an Iterative Functional Differential Equations Near Regular Points
l=0 |c l | < 1, and xl(z) = x(xl−1(z)) that denote the nth iterate of a map x. In general, F, G are given complex-valued functions of a complex variable. In this paper, analytic solutions of nonlinear iterative functional differential equations are investigated. Existence of locally analytic solutions and their construction is given in the case that all given functions exist regular points. As ...
متن کاملNumerical Approximations to the Stationary Solutions of Stochastic Differential Equations
This thesis investigates the possibility of approximating stationary solutions of stochastic differential equations using numerical methods. We consider a particular class of stochastic differential equations, which are known to generate random dynamical systems. The existence of stochastic stationary solution is proved using global attractor approach. Euler’s numerical method, applied to the s...
متن کاملStraightening out Trajectories near Singular Points of Implicit Differential Equations
Under appropriate assumptions, it is shown that there is a di eomorphism that transforms solutions of the implicit di erential equation
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 1995
ISSN: 0036-1429,1095-7170
DOI: 10.1137/0732060