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Articles 1 - 13 of 13
Full-Text Articles in Physical Sciences and Mathematics
Systems Of Functional Differential Equations With Asymptotically Constant Solutions, William F. Trench, T. Kusano
Systems Of Functional Differential Equations With Asymptotically Constant Solutions, William F. Trench, T. Kusano
William F. Trench
No abstract provided.
Remarks On A Semilinear Elliptic Equation On Rn, Yi Li
Analysis Of The Convergence History Of Fluid Flow Through Nozzles With Shocks, Mohammad Saleem, A Cheer, M Hafez, T Pulliam
Analysis Of The Convergence History Of Fluid Flow Through Nozzles With Shocks, Mohammad Saleem, A Cheer, M Hafez, T Pulliam
Mohammad Saleem
"Convergence of iterative methods for the solution of the steady quasi-one-dimensional nozzle problem with shocks is considered. The finite-difference algorithms obtained from implicit schemes are used to approximate both the Euler and Navier-Stokes Equations. These algorithms are investigated for stability and convergence characteristics. The numerical methods are broken down into their matrix-vector components and then analyzed by examining a subset of the eigensystem using a method based on the Arnoldi process. The eigenvalues obtained by this method are accurate to within 5 digits for the largest ones and to within 2 digits for the ones smaller in magnitude compared the …
Two Discrete Forms Of The Jordan Curve Theorem, Lawrence N. Stout
Two Discrete Forms Of The Jordan Curve Theorem, Lawrence N. Stout
Lawrence N. Stout
The Jordan curve theorem is one of those frustrating results in topology: it is intuitively clear but quite hard to prove. In this note we will look at two discrete analogs of the Jordan curve theorem that are easy to prove by an induction argument coupled with some geometric intuition. One of the surprises is that when we discretize the plane we get two Jordan curve theorems rather than one, a consequence of the interplay between two natural products in the category of graphs. Topology in this context has been studied by Farmer in [2]. To state the discrete versions, …
Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench
Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench
William F. Trench
No abstract provided.
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench
Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench
William F. Trench
No abstract provided.
Mixed Sublinear, Superlinear, And Singular Systems Of Functional Differential Equations, William Trench
Mixed Sublinear, Superlinear, And Singular Systems Of Functional Differential Equations, William Trench
William F. Trench
No abstract provided.
On Conformal Scalar Curvature Equations In Rn, Yi Li, Wei-Ming Ni
On Conformal Scalar Curvature Equations In Rn, Yi Li, Wei-Ming Ni
Yi Li
No abstract provided.
On A General Class Of Multivariate Linear Smoothing Operators, Tian-Xiao He
On A General Class Of Multivariate Linear Smoothing Operators, Tian-Xiao He
Tian-Xiao He
No abstract provided.
Asymptotic Properties Of Positive Summation-Integral Operators, Tian-Xiao He
Asymptotic Properties Of Positive Summation-Integral Operators, Tian-Xiao He
Tian-Xiao He
No abstract provided.
On Minimal And Quasi-Minimal Supported Bivariate Splines, Tian-Xiao He
On Minimal And Quasi-Minimal Supported Bivariate Splines, Tian-Xiao He
Tian-Xiao He
No abstract provided.
Efficient Application Of The Schauder-Tychonoff Theorem To Functional Perturbations Of $X^(N)=0$, William F. Trench
Efficient Application Of The Schauder-Tychonoff Theorem To Functional Perturbations Of $X^(N)=0$, William F. Trench
William F. Trench
No abstract provided.