Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations
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Numerical Solutions of Initial Value Problems for Ordinary Differ
ential Equations 3
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accuracy accurate Addition algorithm Anal appear applied approach approximation assume basic boundary conditions boundary value problems bounds calculation called changes characteristic codes coefficients collocation Comp comparing Computer consider constant continuation convergence defined depend derivatives detail determine developed discussed eigenvalue elimination error estimates evaluations example exists extrapolation fact factor final finite difference finite difference methods formulas function give given Hence important included initial value problems integration interesting interval invariant imbedding iteration Keller lems length linear linear systems Math Mathematics matrix mesh Newton's nonlinear numerical methods numerical solution obtained ordinary differential equations performed points polynomial possible present prob procedure referred Runge-Kutta satisfies schemes Scott shooting SIAM singular solving stability step stiff Table techniques Theorem theory tion tolerance transformation treat two-point boundary University variable zero