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EVALUATION OF LINE INTEGRALS
Chapter3 LINEAR ALGEBRA
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adjoint allowable coordinate transformation analytic solution applied approximation arbitrary assume asymptotic series base vectors basis functions becomes boundary conditions boundary layer boundary value problem cartesian system characteristic functions characteristic values characteristic vectors Christoffel symbols coefficients components constant contour contravariant convergent coordinate system covariant curve defined definition determine domain dx dx eigenvalues Euler Euler method evaluate Example exists expression finite difference finite element method formula Fourier Fredholm equation given Green's function homogeneous initial conditions integral interval inverse kernel Laplace Transform let us consider linear linearly independent matrix metric tensor node numerical solution obtain order equation ordinary differential equations orthogonal parameter partial differential equation perturbation power series procedure Runge-Kutta satisfy second order Section 9.2 self-adjoint singular point solved space steepest descent Substituting symmetric Taylor series Theorem tion Wronskian yields zero