Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 12 of 12 for “"Finite difference approximations"”.
-
Finite-Difference Approximations And Optimal Control Of Differential Inclusions
… constrained differential inclusions. We develop finite-discrete approximations of differential inclusions by using the implicit Euler scheme and the Runge-Kutta scheme for approximating time derivatives, while an appropriate well-posedness of such approximations is justified. Our principal result …
-
An accuracy study of central finite difference methods in second order boundary value problems
An accuracy study is made of central finite difference methods for solving boundary value problems which are governed by second order differential equations with variable coefficients leading to odd order derivatives. Three methods are studied through applications to selected problems. Definitive …
-
A finite difference based finite strip method for the analysis of translational shell structures
… translational shell structures is presented. The finite strip concept is utilised together with finite difference approximations to the differential, equations along nodal, tines. Numerical examples include open and closed translational shells with various end conditions and continuity over …
-
Finite-Difference Modeling of the Batch Process Smoldering Combustion of Wastewater
… experiment was simulated using implicit finite-difference approximations, assuming one-dimensional transient conductive heat transfer. The time-dependent temperature profiles within the column represented the main parameters of interest and were used to verify recoverable heat energy …
-
Local Factorization of Multidimensional Differential Operators to Optimize Implicit Solution Methods
… differential operators using implicit finite-difference methods involves a computationally intensive step of calculating the solution to a system that involves both the current and future state of the system. If a linear operator can be expressed as an affine combination of sufficiently …
-
Convergence of material balance in mathematical simulation of petroleum reservoirs
… machine round-off errors, and by the use of finite difference approximations to represent nonlinear partial differential equations.</p> <p>A new procedure called Error Matrix Technique has been developed for reduction of material balance errors. This reduction is accomplished by adjusting …
-
Stable and high order accurate finite difference method for the incompressible laminar boundary layer equations
… continuous spatial derivatives using high order finite difference approximations on summation-by-parts form. The boundary conditions are implemented weakly using the simultaneous approximation terms methods. The discrete energy estimate is derived by mimicking the continuous analysis and hence, …
-
The stochastic operator approach to random matrix theory
… matrix models, appropriately rescaled, are finite difference approximations to stochastic differential operators. Specifically, as the size of one of these matrices approaches infinity, it looks more and more like an operator constructed from either the Airy operator, ..., or one of the …
-
Error estimates for finite difference solutions of second-order elliptic equations in discrete Sobolev spaces
We derive a priori lp-estimates for nite difference solutions of second-order elliptic equations with continuous coefficients in the whole space. We shall mainly use the Fefferman-Stein theorem and discrete Sobolev inequalities to establish our purpose. Based on these lp-estimates, we obtain the …
-
Adjoint Error Estimation for Elastohydrodynamic Lubrication
… solutions have been used. That is, regular mesh finite difference approximations have been used to discretise the problem, with multigrid used to efficiently solve the equations, and spatial adaptivity added through multigrid patches. The adjoint problems have been solved using standard linear …
-
Measurements and models of fine-structure, internal gravity waves and wave breaking in the deep ocean
… moored temperature spectra, temperature vertical difference spectra, and coherence over vertical separations are described using a fine-structure vertical wavenumber spectrum PT(k) =ATk-5/2 which agrees with other spectra made using vertical profiling instruments in the range 0.1 to 1.0 cpm. …
-
Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes
… unstructured curved meshes. Isoparametric finite elements are used to take into account curved domain boundaries. Regarding two-dimensional shallow water equations, the discrete free surface elevation is defined on a primal triangular grid, while the discrete total height and the discrete …