Add to ORKGKyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」This paper presents a computer-assisted proof of solutions of the Orr-Sommerfeld equation describing hydrodynamic stability of Poiseuille flow. A numerical verification method for computing eigenpair enclosures for this non-selfadjoint eigenvalue problem is described. Some verification results confirm the effectiveness of the method
The Chebyshev matrix collocation method is applied to obtain the spatial modes of the Orr-Sommerfeld...
The problem of the stability of Poiseuille pipe flow was studied numerically. The finite-difference ...
AbstractA physically-based computational technique was investigated which is intended to estimate an...
In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynami...
Abstract. A spectral collocation method is used to obtain the solution to the Orr-Sommerfeld stabili...
summary:In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory o...
The linear stability of plane Couette flow is studied by using a symbolic computation package (Mathe...
Thesis: M.S., Massachusetts Institute of Technology, Department of Mathematics, 1961Vita.Includes bi...
We compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like ...
This thesis concerns the stability of plane Couette flow and pipe Poiseuille flow in three space dim...
This paper is concerned with the derivation of 'first approximations ' to the solutions of...
For decades the stability of nearly parallel shear flows was primarily analyzed employing the Orr-So...
The Chebyshev tau method is examined; a numerical technique which in recent years has been successfu...
The discrete spectrum of the Orr-Sommerfeld problem of hydrodynamic stability for boundary layer flo...
The linear stability of parallel shear flows of incompressible viscous fluids is classically describ...
The Chebyshev matrix collocation method is applied to obtain the spatial modes of the Orr-Sommerfeld...
The problem of the stability of Poiseuille pipe flow was studied numerically. The finite-difference ...
AbstractA physically-based computational technique was investigated which is intended to estimate an...
In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynami...
Abstract. A spectral collocation method is used to obtain the solution to the Orr-Sommerfeld stabili...
summary:In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory o...
The linear stability of plane Couette flow is studied by using a symbolic computation package (Mathe...
Thesis: M.S., Massachusetts Institute of Technology, Department of Mathematics, 1961Vita.Includes bi...
We compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like ...
This thesis concerns the stability of plane Couette flow and pipe Poiseuille flow in three space dim...
This paper is concerned with the derivation of 'first approximations ' to the solutions of...
For decades the stability of nearly parallel shear flows was primarily analyzed employing the Orr-So...
The Chebyshev tau method is examined; a numerical technique which in recent years has been successfu...
The discrete spectrum of the Orr-Sommerfeld problem of hydrodynamic stability for boundary layer flo...
The linear stability of parallel shear flows of incompressible viscous fluids is classically describ...
The Chebyshev matrix collocation method is applied to obtain the spatial modes of the Orr-Sommerfeld...
The problem of the stability of Poiseuille pipe flow was studied numerically. The finite-difference ...
AbstractA physically-based computational technique was investigated which is intended to estimate an...