Computing MethodsComputing Methods, Volume 2 is a five-chapter text that presents the numerical methods of solving sets of several mathematical equations. This volume includes computation sets of linear algebraic equations, high degree equations and transcendental equations, numerical methods of finding eigenvalues, and approximate methods of solving ordinary differential equations, partial differential equations and integral equations. The book is intended as a text-book for students in mechanical mathematical and physics-mathematical faculties specializing in computer mathematics and persons interested in the theory and practice of numerical methods. |
Contents
| 1 | |
CHAPTER 7 NUMERICAL SOLUTION OF HIGH DEGREE ALGEBRAIC EQUATIONS AND TRANSCENDENTAL EQUATIONS | 71 |
CHAPTER 8 THE EVALUATION OF EIGENVALUES AND EIGENVECTORS OF MATRICES | 183 |
CHAPTER 9 APPROXIMATE METHODS OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS | 272 |
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Common terms and phrases
absolute magnitude accuracy approximate solution arbitrary boundary conditions boundary nodes boundary value problem calculations Cauchy problem characteristic polynomial coefficients column complex roots Consequently consider constant convergence corresponding defined derivatives difference equation difference methods difference scheme differential equations Dirichlet problem eigen eigenvalues eigenvectors equal error estimate exact solution find the solution finite first-order function f(x Goursat problem Hence initial conditions initial vector integral equation internal nodes interval iteration kernel K(x linear algebraic linear algebraic equations linear combination linearly independent matrix mesh method method of solving multiplied non-zero norm obtained operator order h orthogonal positive definite presupposed real roots region G required to find right-hand side satisfies the initial second-order sequence set of equations set of linear solution of eqn straight line Substituting successive approximation Suppose we put symmetric symmetric matrix Taylor formula theorem tion vector whilst yo-H zero