John E. Lavery
Case Western Reserve University
5 Papers
6 Citations
John E. Lavery is an academic researcher from Case Western Reserve University. The author has contributed to research in topics: Iterative method & Boundary value problem. The author has an hindex of 2, co-authored 5 publications.
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Papers
A comparison of the method of frozen coefficients with Newton's method for quasilinear two-point boundary-value problems
TL;DR: In this article, a comparison of the methode des coefficients figes a la methode de Newton for the resolution des problemes a deux points limites quasi lineaires is made.
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Solution of quasilinear two-point boundary-value problems by the method of pseudolinear equations
TL;DR: In this article, a variant of the methode de la transformation de Legendre is presented for a classe de problemes a 2 points limites vectoriels quasilineaires d'ordre pair.
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Improved a Popsteriori Error Bounds for Quasilinear Boundary-Value Problems by the Method of Pseudolinear Equations
TL;DR: It is shown that these a posteriori error bounds can be significantly improved by using the method of pseudolinear equations to solve the given problem and its conjugate (dual) problem instead of solving these problems separately by other methods.
Local convergence of the method of pseudolinear equations for quasilinear elliptic boundary-value problems
TL;DR: In this article, a variant of the method of pseudolinear equations, an iterative method of solving quasilinear partial differential equations, is described for quasILinear elliptic boundary-value problems of the type -[ p 1 ( u x )] x = f on a bounded simply connected two-dimensional domain D.