On the numerical solution of heat conduction problems in two and three space variables

TL;DR: This paper considers a multi-dimensional inverse heat conduction problem with time-dependent coefficients in a box by a variational method, and applies the conjugate gradient method with a stopping rule to the discretized inverse problem rather than to the continuous one.

TL;DR: In this article, the authors consider the minimum energy control of a car, which is modelled as a point mass sliding on the ground in a fixed direction, and so it can be mathematically described as the double integrator.

TL;DR: The present paper describes the first approach to TV regularization in a combined manifold and inverse problem setup and proposes generalized forward- backward splitting algorithms which combine an explicit and several implicit steps performed on a decomposition of the functional.

TL;DR: A macroscopic two-fluid model of compressible particle-laden gas flows is considered and the Douglas-Rachford scheme is found to provide a robust treatment of the interphase exchange terms within the framework of a fractional-step solution strategy.

TL;DR: In this paper, the determinant of the matrix A = (ai,j) does not vanish and if A * = (a*j) is symmetric, where a*1=ai,iai,j/ai,i (i, j= 1, 2, N *, N), then A * is positive definite.

TL;DR: The program for the sixth Symposium on applied mathematics of the American Mathematical Society, on the subject of algebraic geometry, is being arranged by the Society's Applied Mathematics Committee as mentioned in this paper.

TL;DR: The problem of finding solutions to various types of differential equations has intrigued mathematicians from a theoretical point of view for many years but has also plagued many applied scientists for an equally long period of time.