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Approximate methods for solution of differential and integral equations
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This article is published in Mathematics of Computation.The article was published on 1970-04-01. It has received 219 citations till now. The article focuses on the topics: Collocation method & Numerical partial differential equations.read more
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Book
Finite Element Analysis of Acoustic Scattering
TL;DR: A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book, is described in this article.
Journal ArticleDOI
The coupling of the finite element method and boundary solution procedures
TL;DR: The finite element method is now recognized as a general approximation process which is applicable to a variety of engineering problems and boundary solution procedures have been introduced as an independent alternative which at times is more economical and possesses certain merits as mentioned in this paper.
Journal ArticleDOI
A view of three decades of linear filtering theory
TL;DR: Developments in the theory of linear least-squares estimation in the last thirty years or so are outlined and particular attention is paid to early mathematica[ work in the field and to more modern developments showing some of the many connections between least-Squares filtering and other fields.
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Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
TL;DR: This paper states sufficient conditions that guarantee that the Galerkin approximation converges to the solution of the GHJB equation and that the resulting approximate control is stabilizing on the same region as the initial control.