Solving linear, nonlinear equations, ordinary differential equations, ... using numerical methods in fortran
Solving linear, nonlinear equations, integral, ordinary differential equations, ... using numerical methods in fortran
LU
PLU (TODO)
QR (TODO)
Normal distribution
- Box–Muller transform
- Ratio-of-uniforms method
Newton-Raphson
Fix point
One-dimensional
- Rectangle rule.
- Trapezoidal rule.
- Simpson's rule.
- Gauss-Hermite (TODO)
- Gauss-Laguerre (TODO)
N-dimensional
- Monte Carlo (TODO)
- Sparse grids (TODO)
- Bayesian Quadrature (TODO)
Monostep
- Euler explicit
- Euler implicit (TODO)
- Runge-Kutta fourth order method (classical)
Multistep
- Adams-Bashforth
- Adams-Moulton (TODO)
- Nyström (TODO)
- Mile-Simpson (TODO)
- Backward differentiation formula (TODO)
- Euler-Maruyama method
- Milstein Method (TODO)
- Strong Order 1.0 Runge-Kutta Method
- Strong Order 1.5 Taylor Method (TODO)
- Weak Order 2 Taylor Method (TODO)
- Weak Order 2 Runge-Kutta Method
pgplot and dislin libraries are necessary to plot the examples:
pgplot
, dislin
link
)
Where:
Force Regulation by Nascent Adhesion Sites (Robijn Bruinsma)
Where: