A DIFFERENTIAL EQUATION METHOD FOR SOLVING NONLINEARLY CONSTRAINED OPTIMIZATION PROBLEMS一个求解约束非线性优化问题的微分方程方法非线性优化微分方程渐近稳定性平衡点The differential equation method in this paper consists of two differential equation systems, in which the first one is based on the first order...
(Newton 1671, “Problema II, Solutio particulare”). Solve the total differential equation 3x2−2ax+ay−3y2y′+axy′=0.3x2−2ax+ay−3y2y′+axy′=0. Solve:We have y′(3y2−ax)=3x2−2ax+ay.y′(3y2−ax)=3x2−2ax+ay. ...
Solving ordinary differential equations I(Nonstiff Problems),Exercise 1.2:A wrong solution (Newton 1671, “Problema II, Solutio particulare”). Solve the total differential equation $$ 3x^2-2ax+ay-3y^2y'+axy'=0. $$ Solve:We have $$ y'(3y^2-ax)=3x^2-2ax+ay. $$ So $$ dy(3y^...
Nonstiff problems Nonstiff Problems E Hairer 被引量: 119发表: 1993年 Stiffness and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods The effects of stiffness are investigated for production codes for solving non-stiff ordinary differential equations. First, a pra...
Book TitleSolving Ordinary Differential Equations I Book SubtitleNonstiff Problems AuthorsErnst Hairer, Gerhard Wanner, Syvert P. Nørsett Series TitleSpringer Series in Computational Mathematics DOIhttps://doi.org/10.1007/978-3-540-78862-1
The delays in the solution must satisfydyi(t,y) ≤t. The delays in the first derivative must satisfydypj(t,y) <tso thaty′ does not appear on both sides of the equation. Theddensdfunction solves DDEs of neutral type by approximating them with DDEs of the form given for time-dependent...
6 10. Solving for , we get the constant solution . Exercise 1.2 In problems 1 and 2, 1/ 1 is a one parameter family of solutions of the first-order DE . Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. 1. ...
SciNapse: A Problem Solving Environment for Partial Differential Equations The SciNapse code generation system transforms high-level descriptions of partial differential equation problems into customized, efficient, and documented... RL Akers,E Kant,CJ Randall,... - Springer US 被引量: 60发表: ...
Unsolved problems in the theory of dynamics in homogeneous and heterogeneous polymer networks A brief review related to some unsolved problems of the dynamic theory of polymer networks and to possible ways of solving them is presented. The comparati... YY Gotlib,AA Gurtovenko - 《Macromolecular Sym...
Enter the differential equation: Example: y''+9y=7sin(x)+10cos(3x) Enter the Cauchy problem (optional): Example: y(0)=7,y'(6)=-1 Calculate This calculator for solving differential equations is taken from Wolfram Alpha LLC. All rights belong to the owner! Solving Differential Equati...