Functions Used in the Book "Computational Physics with R"
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Documentation for package ‘comphy’ version 1.0.5
Help Pages
| backdif | Backward differences |
| BVPlinshoot2 | Linear shooting method for second-order linear BVPs |
| BVPshoot2 | Solves a second-order BVP using the shooting method |
| condet | Determinant of a square matrix |
| decidepoly_n | Degree of best-interpolating polynomial |
| deriv_irr | First derivative for an irregular grid |
| deriv_reg | First derivative on a regular grid |
| divdif | Divided differences |
| EPSturmLiouville2 | Sturm–Liouville eigenproblem with homogeneous Dirichlet boundary conditions |
| EulerODE | Euler method for systems of ODEs |
| forwdif | Forward differences |
| gauss_elim | Gaussian Elimination |
| Gquad | Numerical integration using n-point Gaussian quadrature. |
| GSeidel | The Gauss-Seidel algorithm |
| HeunODE | Heun method for systems of ODEs |
| illcond_sample | Ill-conditioned sampling |
| linpol | 1D linear interpolation |
| LUdeco | LU decomposition |
| nevaitpol | Neville-Aitken algorithm for polynomial interpolation |
| numint_reg | Numerical integration using the trapezoid or simpson's rule |
| oddity | Parity of a permutation |
| PJacobi | The Jacobi method |
| polydivdif | Approximating polynomial for divided differences |
| polysolveLS | Polynomial Least Squares |
| RK4ODE | Runge-Kutta 4th order method for systems of ODEs |
| roots_bisec | Bisection method for roots |
| roots_newton | Newton method for roots |
| roots_secant | Secant method for roots |
| solveLS | Multilinear Least Squares |
| solve_tridiag | Tridiagonal linear system |
| transform_upper | Transform to upper triangular |
| which_poly | Find optimal polynomial model |