Index Catalog // ScholarsArchive@OSU

Multiscale elliptic-parabolic systems for flow and transport

Creator:: Peszyńska, Malgorzata and Showalter, Ralph E.
Abstract:: An upscaled elliptic-parabolic system of partial differential equations describing the multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium is developed without the usual assumptions of scale separation. After a review of homogenization results for the traditional...
Resource Type:: Article
Full Text:: ://cdss.library.oregonstate.edu/sa-termsofuse Electronic Journal of Differential Equations, Vol. 2007(2007), No. 147, pp. 1

Boundary value problems and bifurcation theory for ordinary differential equations

Creator:: Malloy, David
Abstract:: Two numerical methods are presented that can be used to solve second order nonlinear ordinary differential equations with periodic boundary conditions. One of these methods is a shooting method developed solely for the periodic problem. The other, "quasilinearization," is a method applicable to a wide variety of problems. It is...
Resource Type:: Masters Thesis
Full Text:: Differential Equations AN ABSTRACT OF THE THESIS OF David Malloy for the degree of Master of Arts in

A study of the differential equation d²w/dz² + z¹¹w = 0

Creator:: Fryer, Holly Clair
Resource Type:: Masters Thesis
Full Text:: A study of the differential equation d²w/dz² + z¹¹w = 0

Coalescent singular points of differential systems having quadratic right hand sides

Creator:: Matzdorff, Edward Max
Resource Type:: Masters Thesis
Full Text:: ) In this paper we investigate the behavior of integral curves to the differential equation d Alx2

On the numerical integration of the second order differential equation with assigned end points

Creator:: Bridger, Clyde Arthur
Resource Type:: Masters Thesis
Full Text:: differential equation with assigned end points AN ABSTRACT OF THE THESIS OF -.Ñ4gs-,.- Ci.y. .rthiw

Partial differential equations of Sobolev-Galpern type

Creator:: Showalter, R. E.
Abstract:: A mixed initial and boundary value problem is considered for a partial differential equation of the form Muₜ(x, t)+Lu(x, t)=0, where M and L are elliptic differential operators of orders 2 m and 2l, respectively, with m ≤ l. The existence and uniqueness of a strong solution of this equation...
Resource Type:: Article
Full Text:: PACIFIC JOURNAL OF MATHEMATICS Vol. 31, No. 3, 1969 PARTIAL DIFFERENTIAL EQUATIONS OF SOBOLEV-GALPERN

Solution of unsteady, two-dimensional, inviscid flows

Creator:: Kuo, Ying-Ming
Abstract:: The general theory of characteristics is reviewed for hyperbolic partial differential equations of n independent variables. The application of the theory of characteristics is made to unsteady, two-dimensional, rotational, inviscid flows; unsteady, two-dimensional, irrotational, inviscid flows; and unsteady, axial symmetric, inviscid flows. The characteristic surfaces and the compatibility relations are...
Resource Type:: Masters Thesis
Full Text:: for hyper- bolic partial differential equations of n independent variables. The application of the

MINITRAN : an on-line function translator with capabilities for solving ordinary differential equations

Creator:: Ballance, Jeffrey David
Abstract:: A function translator is presented which was designed for interactive programs which allow functions to be defined on-line. The translator handles functions which are specified by a formula and functions which are specified as the solution to a system of differential equations.
Resource Type:: Masters Thesis
Full Text:: single differential equation. After a system of differential equations has been entered and compiled

Variation of delta method for solution of second order nonlinear differential equations arising in servomechanism

Creator:: Chien, Hui-ning
Resource Type:: Masters Thesis
Full Text:: . "General Method of Solving Second Order Ordinary Differential Equations". Journal of Applied Mechanics

Automated rigorous solutions to nonlinear equations

Creator:: Cullop, Paul Wayne
Abstract:: We will consider the implementation of a computer program to solve a nonlinear algebraic system of N equations and unknowns. The program involves the use of a parameter, Newton's method, and an automatic change of parameter. Also considered are rigorous error bounds for the answer. The program was implemented and...
Resource Type:: Masters Thesis
Full Text:: algebraic system of N equations and unknowns. The program involves the use of a parameter, Newton's method

ScholarsArchive@OSU

Multiscale elliptic-parabolic systems for flow and transport

Boundary value problems and bifurcation theory for ordinary differential equations

A study of the differential equation d²w/dz² + z¹¹w = 0

Coalescent singular points of differential systems having quadratic right hand sides

On the numerical integration of the second order differential equation with assigned end points

Partial differential equations of Sobolev-Galpern type

Solution of unsteady, two-dimensional, inviscid flows

MINITRAN : an on-line function translator with capabilities for solving ordinary differential equations

Variation of delta method for solution of second order nonlinear differential equations arising in servomechanism

Automated rigorous solutions to nonlinear equations

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