The method is based on nonlinear iterations where at each iteration a linear initial-value problem has to be solved. We compare this method to the backward Euler method combined with nonlinear iterations. For both methods we show monotonicity and boundedness of the solutions and give sufficient ...
slopeeulersolutionsfieldsdierentialmethod 5269OVERVIEWManyreal-worldproblems,when ormulatedmathematically,leadtodi er-entialequations.Weencounteredanumbero theseequationsinpreviouschapterswhenstudyingphenomenasuchasthemotiono anobjectalongastraightline,thedecayo aradioactivematerial,thegrowtho apopulation,andthecoolin...
On a side note, the isPrime function here is very naive, and for later problems I started to use a sieve. which on my machine was able to generate all the primes under 1,000,000 in under a second. You might find it useful for some of the later prime number related problems too. S...
The Jameson and Mavriplis algorithm is a symmetrical second-order one, while the Liou and Steffen algorithm is a flux vector splitting first-order upwind one. Both schemes use a second-order Runge-Kutta method to perform time integration. The steady state problems of the supersonic flow along...
In the next graph, we see the estimated values we got using Euler's Method (the dark-colored curve) and the graph of the real solution y=ex/2y=ex/2 in magenta (pinkish). We can see they are very close. In this case, the solution graph is only slightly curved, so it's "easy"...
In this work, we prove that solutions obtained via the vortex method are Lagrangian, and that they are conservative if p>1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \...
( 1.2 ). 1.1 the method of partial symmetries underlying our approach are classical techniques for small data/global regularity problems in nonlinear dispersive equations, such as vector fields [ 47 ] and normal forms [ 56 ] as unified in a spacetime resonance approach [ 25 , 26 , 32 ] ...
Zeitlin, and show their convergence towards a solution to Euler equations with marginals distributed as the enstrophy measure. The method relies on nontrivial computations on the structure constants of , that appear to be new. In the last section we discuss the problem of extending our results ...
The convex hull of integer solutions is described as a linear programming polyh... J Edmonds,EL Johnson - 《Mathematical Programming》 被引量: 1355发表: 1973年 An optimization technique for protocol conformance test generation based on UIO sequences and rural Chinese postman tours A method for ...
S. Schochet, The point-vortex method for periodic weak solutions of the 2-D Euler equations, Comm. Pure Appl. Math., 49 (1996) 911{965.S. Schochet. Point-vortex method for periodic weak solutions of the 2-D Euler equations. Comm. Pure Appl. Math., 49:911-965, 1996. 37...