the explicit Euler method

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• Semi-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… …   Wikipedia

• Euler method — In mathematics and computational science, the Euler method, named after Leonhard Euler, is a first order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic kind of explicit… …   Wikipedia

• Explicit and implicit methods — In applied mathematics, explicit and implicit methods are approaches used in computer simulations of physical processes, or in other words, they are numerical methods for solving time variable ordinary and partial differential equations.Explicit… …   Wikipedia

• Linear multistep method — Adams method redirects here. For the electoral apportionment method, see Method of smallest divisors. Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an …   Wikipedia

• Crank–Nicolson method — In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial differential equations.[1] It is a second order method in time, implicit in time, and is numerically …   Wikipedia

• Heun's method — In mathematics and computational science, Heun s method may refer to the improved or modified Euler s method (that is, the explicit trapezoidal rule[1]), or a similar two stage Runge–Kutta method. It is named after Karl L. W. M. Heun and is a… …   Wikipedia

• Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

• Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …   History of philosophy

• Scientific method — …   Wikipedia

• Geometric integrator — In the mathematical field of numerical ODEs, a geometric integrator is a numerical method that preserves geometric properties of the exact flow of a differential equation.Pendulum exampleWe can motivate the study of geometric integrators by… …   Wikipedia

• Solving the geodesic equations — is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity, that results in obtaining geodesics. Physically, these represent the paths of (usually ideal) particles with no proper… …   Wikipedia