method of equation
111Phase space method — In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time dependent differential equations. The method consists of first rewriting the equations as a system… …
112Burgers' equation — is a fundamental partial differential equation from fluid mechanics. It occurs in various areas of applied mathematics, such as modeling of gas dynamics and traffic flow. It is named for Johannes Martinus Burgers (1895 1981).For a given velocity… …
113Hadamard's method of descent — In mathematics, the method of descent is the term coined by the French mathematician Jacques Hadamard as a method for solving a partial differential equation in several real or complex variables, by regarding it as the specialisation of an… …
114Hamilton-Jacobi-Bellman equation — The Hamilton Jacobi Bellman (HJB) equation is a partial differential equation which is central to optimal control theory.The solution of the HJB equation is the value function , which gives the optimal cost to go for a given dynamical system with …
115Rendering equation — In computer graphics, the rendering equation is an integral equation in which the equilibrium radiance leaving a point is given as the sum of emitted plus reflected radiance under a geometric optics approximation. It was simultaneously introduced …
116Duffing equation — A Poincaré section of the forced Duffing equation suggesting chaotic behaviour The Duffing equation is a non linear second order differential equation used to model certain damped and driven oscillators. The equation is given by …
117Semi-implicit Euler method — In mathematics, the semi implicit Euler method, also called symplectic Euler, semi explicit Euler, Euler–Cromer, and Newton–Størmer–Verlet (NSV), is a modification of the Euler method for solving Hamilton s equations, a system of ordinary… …
118Schwarz alternating method — In mathematics, the Schwarz alternating method, named after Hermann Schwarz, is an iterative method to find the solution of a partial differential equations on a domain which is the union of two overlapping subdomains, by solving the equation on… …
119Multiphase particle-in-cell method — The multiphase particle in cell method (MP PIC) is a numerical method for modeling particle fluid and particle particle interactions in a computational fluid dynamics (CFD) calculation. The MP PIC method achieves greater stability than its… …
120Pseudo-spectral method — Pseudo spectral methods are a class of numerical methods used in applied mathematics and scientific computing for the solution of PDEs, such as the direct simulation of a particle with an arbitrary wavefunction interacting with an arbitrary… …
