Search Results - "Schiesser, W.E."

Analysis of cornea curvature using radial basis functions - Part I: Methodology by Griffiths, G.W, Płociniczak, Ł, Schiesser, W.E

“…Abstract We discuss the solution of cornea curvature using a meshless method based on radial basis functions (RBFs). A full two–dimensional nonlinear thin…”
Get full text

Analysis of cornea curvature using radial basis functions - Part II: Fitting to data-set by Griffiths, G.W, Płociniczak, Ł, Schiesser, W.E

“…Abstract In part I we discussed the solution of corneal curvature using a 2D meshless method based on radial basis functions (RBFs). In Part II we use these…”
Get full text

Oxygen grain-boundary transport in polycrystalline alumina using wedge-geometry bilayer samples: Effect of Y-doping by Cheng, H., Caram, H.S., Schiesser, W.E., Rickman, J.M., Chan, H.M., Harmer, M.P.

“…Novel wedge-geometry, dual-layer alumina samples, both undoped and 500 ppm Y 3+-doped, were studied in the temperature regime 1250–1400 °C to determine the…”
Get full text

Exact Solutions of Extended Boussinesq Equations by Hamdi, S., Enright, W.H., Ouellet, Y., Schiesser, W.E.

“…The problem addressed in this paper is the verification of numerical solutions of nonlinear dispersive wave equations such as Boussinesq-like system of…”
Get full text

Simulation of Distributed Parameter Systems Using a Matlab-Based Method of Lines Toolbox:  Chemical Engineering Applications by Vande Wouwer, Alain, Saucez, P, Schiesser, W. E

“…Computational modeling is now generally accepted as an essential procedure for the dynamic analysis of chemical processes. Many of these processes are…”
Get full text

Fluorescence relaxation in 3D from diffraction-limited sources of PAGFP or sinks of EGFP created by multiphoton photoconversion by CALVERT, P.D, PEET, J.A, BRAGIN, A, SCHIESSER, W.E, PUGH, E.N. Jr

“…The relaxation of fluorescence from diffraction-limited sources of photoactivatable green fluorescent protein (PAGFP) or sinks of photobleached enhanced GFP…”
Get full text

Method of lines solutions of the extended Boussinesq equations by Hamdi, S., Enright, W.H., Ouellet, Y., Schiesser, W.E.

“…A numerical solution procedure based on the method of lines for solving the Nwogu one-dimensional extended Boussinesq equations is presented. The numerical…”
Get full text

A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines by Wouwer, A. Vande, Saucez, P., Schiesser, W.E., Thompson, S.

“…In this paper, we report on the development of a MATLAB library for the solution of partial differential equation systems following the method of lines. In…”
Get full text

Method of lines study of nonlinear dispersive waves by Saucez, P., Vande Wouwer, A., Schiesser, W.E., Zegeling, P.

“…In this study, we consider partial differential equation problems describing nonlinear wave phenomena, e.g., a fully nonlinear third order Korteweg-de Vries…”
Get full text

Special Issue on the Method of Lines: Dedicated to Keith Miller by Vande Wouwer, Alain, Schiesser, W.E.

Get full text

Erratum to “Upwinding in the method of lines” [Math. Comput. Simulat. 56 (2002) 171–185] by Saucez, Philippe, Schiesser, W.E, Wouwer, Alain Vande

Get full text

Exact solutions and invariants of motion for general types of regularized long wave equations by Hamdi, S., Enright, W.H., Schiesser, W.E, Gottlieb, J.J.

“…New exact solitary wave solutions are derived for general types of the regularized long wave (RLW) equation and its simpler alternative, the generalized equal…”
Get full text

Dynamic Process Optimization through Adjoint Formulations and Constraint Aggregation by Bloss, K. F, Biegler, L. T, Schiesser, W. E

“…A dynamic optimization strategy is developed that makes use of existing differential−algebraic equation solvers and nonlinear programming strategies. In…”
Get full text

Upwinding in the method of lines by Saucez, Philippe, Schiesser, W.E, Wouwer, Alain Vande

“…The method of lines (MOL) is a procedure for the numerical integration of partial differential equations (PDEs). Briefly, the spatial (boundary value)…”
Get full text

Can a nonlinearity be neglected? An example by Griffiths, G.W., Saucez, Ph, Vande Wouwer, A., Schiesser, W.E.

“…We report the difference in the solution of two tubular reactor PDE models in which the continuity (mass) balance: (1) includes only the reactant partial…”
Get full text

PDE boundary conditions from minimum reduction of the PDE by Schiesser, W.E.

“…Convection-diffusion partial differential equations (PDEs) are second order in the direction of flow, and therefore require two boundary conditions with…”
Get full text

Some Observations on a Static Spatial Remeshing Method Based on Equidistribution Principles by Saucez, P., Vande Wouwer, A., Schiesser, W.E.

“…This paper proposes a method of lines solution procedure with time and space adaptation for one-dimensional systems of partial differential equations whose…”
Get full text

An adaptive method of lines solution of the Korteweg-de Vries equation by Saucez, P., Wouwer, A.Vande, Schiesser, W.E.

“…Following a method of lines formulation, the Korteweg-de Vries equation is solved using a static spatial remeshing algorithm based on the equidistribution…”
Get full text

Stimulated Raman scattering crosstalk in massive WDM systems under the action of group velocity dispersion by Grandpierre, A.G., Christodoulides, D.N., Schiesser, W.E., McIntosh, C.M., Toulouse, J.

“…We provide a theoretical model that can accurately describe the evolution of stimulated Raman scattering crosstalk in high-speed massive…”
Get full text

Some user-oriented comparisons of adaptive grid methods for partial differential equations in one space dimension by Vande Wouwer, A., Saucez, P., Schiesser, W.E.

“…Although the use of adaptive grid methods in one spatial dimension is now basically well understood and research is mainly devoted to problems in higher…”
Get full text