Numerical Methods, Software, and AnalysisMathematics and computer science background. Numerical software. Errors, roud-off, and stabilitly. Models and formulas for numerical computations. Interpolation. Matrices and linear equations. Differentiation and integration. Nonlinear equations. Ordinary differential equations. Partial differential equations. Approximation of functions and data. Software practice, costs, and engineering. Software performance evaluation. The validation of numerical computations. Protran. |
Contents
Core Material | 4 |
CHAPTER | 7 |
PARTIAL DIFFERENTIAL EQUATIONS | 10 |
Copyright | |
28 other sections not shown
Other editions - View all
Common terms and phrases
a₁ accuracy ACM Algorithms Algorithm analysis Apply approximation arithmetic B-splines b₁ band matrix basis functions boundary conditions break points Chebyshev coefficients condition number Consider convergence test cubic spline data set defined derivatives digits discretization discussed divided difference double precision efficiency eigenvalues equation solver error estimates evaluations example Figure formula Fortran program Gauss elimination gives Hermite cubic Hint IMSL library initial integration interpolation points interval iteration knots least-squares linear equations linear system LINPACK mathematical matrix Muller's method Newton Newton's method nonlinear equation norm numerical computation obtain orthogonal output parameters partial differential equation piecewise polynomials plot polynomial interpolation polynomials of degree random regula falsi Repeat Problem representation root round-off error secant method Show simple smooth solution solving Ax statement step storage subprogram subroutine symmetric system of equations t₁ Table Taylor's series Theorem trapezoidal rule u₁ variables vector x₁ y₁ zero