Applied Numerical AnalysisThis text on recent developments in applied numerical analysis is designed for both students in mathematical and physical sciences and practicing scientists and engineers. Many practical problems are illustrated while an accompanying CD-ROM contains computer programs, answers to exercises and some important tables. |
Contents
Preface vii | 1 |
Ordinary differential equations | 19 |
Partial differential equations | 103 |
Copyright | |
11 other sections not shown
Common terms and phrases
analytical solution approximation arbitrary constants asymptotically stable autonomous system auxiliary equation ax dx boundary conditions boundary element boundary element method calculated calculus of variations coefficients consider coordinates corresponding cosh derivatives determined dt dt dt dy dx dt dx dy dy dt Euler-Lagrange equation example Əqi first-order formula given Green's function Hence initial conditions isoperimetric problem Liapounov function linear system m₁ mathematical matrix motion N₁ nonlinear numerical obtain ordinary differential equations origin parameters particle periodic solution phase plane Pol equation roots Runge-Kutta method satisfies sinh solution of eqn solving spiral stable critical point subsystem T₁ Taylor series temperature Theorem twice-differentiable unstable variables variational vector velocity potential y₁ Yi+1 αι θω Әп дп მე მი მყ