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Now showing items 1-10 of 311

#### DOMAIN DECOMPOSITION FOR TWO-DIMENSIONAL ELLIPTIC OPERATORS ON VECTOR AND PARALLEL MACHINES (SUBSTRUCTURING)

(1986)

The efficient computation of the solution to self-adjoint elliptic operators is the subject of this dissertation. Discretization of this equation by finite differences or finite elements yields a large, sparse, symmetric ...

#### Axially symmetric harmonic maps and relaxed energy

(1991)

Here we investigate some new phenomena in harmonic maps that result by imposing a symmetry condition. A map $u:B\sp3\to S\sp2$ is called axially symmetric if, in cylindrical coordinates, $u(r,\theta,z)$ = $(\cos\theta\si ...

#### Harmonic diffeomorphisms between manifolds with bounded curvature

(1991)

Let compact n-dimensional Riemannian manifolds $(M,g),\ (\widehat M,\ g)$ a diffeomorphism $u\sb0: M\to \widehat M,$ and a constant $p > n$ be given. Then sufficiently small $L\sp{p}$ bounds on the curvature of $\widehat ...

#### ALGORITHMS FOR SOLVING SPARSE NONLINEAR SYSTEMS OF EQUATIONS

(1986)

In this thesis, we present four algorithms for solving sparse nonlinear systems of equations: the partitioned secant algorithm, the CM-successive displacement algorithm, the modified CM-successive displacement algorithm ...

#### Twisted-calibrations and the cone on the Veronese surface

(1988)

This thesis proposes an extension of the methods of calibrated geometries to include non-orientable submanifolds. This is done by "orienting" a non-orientable submanifold N of a Riemannian manifold M with a real Euclidean ...

#### I. Boundary value problems for potentials of a single layer (plane). II. Potentials of general masses in single and double layers: The relative boundary value problems (3-space)

(1929)

I. The principal object of the following paper is the discussion of a Neumann problem, with reference to a potential of a single layer which is based on a general distribution of matter on a simple closed plane boundary. ...

#### Invariant functionals

(1924)

The study of continuous groups of transformations in function space was begun by G. Kowalewski in 1911. Vessiot considered the conditions under which r parameter Volterra transformations form a group. L. L. Dines considered ...

#### An elliptic system of integral equations on summable functions

(1933)

Abstract Not Available.

#### On the boundaries of special Lagrangian submanifolds

(1995)

An n-dimensional submanifold M in ${\bf C}\sp{n} = {\bf R}\sp{2n}$ is called Lagrangian if the restriction of $\omega$ to M is zero, where $\omega = \Sigma{\limits\sb{i}}dz\sb{i}\ \wedge\ d\bar z\sb{i}$. It is called special ...