Advanced Numerical Analysis |
Common terms and phrases
accumulated truncation error analytic analytic function approximate assume Bernoulli's method bounded circle coefficients common zero components compute consider convergence Cramer's Rule define determinant diagonal diffe difference equation difference quotients difference scheme domain of dependence eigenvalues eigenvectors estimate f(xx follows function gives heat equation Hence implies inhomogeneous initial conditions initial data initial values integral iteration scheme lattice points linear matrix Max v(P maximum principle Moreover N(ax N(x² N₂ Newton's method number of zeros obtain Partial Differential Equation polynomial polynomial of degree recursion formula roots round off error satisfy sin² solution solve symmetric system of equations theorem tion uniformly utilizing v(x,t+k vector x-axis x+h,t x₁ xk+1 xm+1 XXXX