Results 291 to 300 of about 135,615 (350)

A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation

, 1990
A fully-Galerkin approach to the coefficient recovery (parameter identification) problem for a linear parabolic partial differential equation is introduced.
J. Lund, C. Vogel
semanticscholar   +1 more source

Numerical Analysis of an Elliptic-Parabolic Partial Differential Equation

, 1968
G. Fichera [1] and other authors have investigated partial differential equations of the form [Eq. 1.1] in which the matrix (aij(x)) is required to be semidefinite. Equations of this type occur in the theory of random processes.
J. Franklin, E. Rodemich
semanticscholar   +1 more source

Partial Differential Equations of Parabolic Type

2004
In the present chapter we consider the well-posedness of an abstract Cauchy problem for differential equations of parabolic type, $$v'(t) + A(t)v(t) = f(t)(0 \leqslant t \leqslant T),v(0) = {{v}_{0}}$$ in an arbitrary Banach space with the linear positive operators A(t).
Pavel E. Sobolevskii, Allaberen Ashyralyev, Allaberen Ashyralyev   +2 more
openaire   +2 more sources

Hypergeometric Functions and Parabolic Partial Differential Equations [PDF]

Journal of Dynamical and Control Systems, 2005
We investigate the summability of formal power series solutions of parabolic linear partial differential equations with exponential coefficients.
openaire   +1 more source

Deep Learning-Based Numerical Methods for High-Dimensional Parabolic Partial Differential Equations and Backward Stochastic Differential Equations

Communications in Mathematics and Statistics, 2017
We study a new algorithm for solving parabolic partial differential equations (PDEs) and backward stochastic differential equations (BSDEs) in high dimension, which is based on an analogy between the BSDE and reinforcement learning with the gradient of ...
Weinan E, Jiequn Han, Arnulf Jentzen
semanticscholar   +1 more source

A qualocation method for parabolic partial differential equations

IMA Journal of Numerical Analysis, 1999
In this paper a qualocation method is analysed for parabolic partial differential equations in one space dimension. This method may be described as a discrete H 1 -Galerkin method in which the discretization is achieved by approximating the integrals by a composite Gauss quadrature rule.
openaire   +3 more sources

Kneser's property for a parabolic partial differential equation

Nonlinear Analysis: Theory, Methods & Applications, 1993
au/at = Au + 1~1”~ for t > 0 and x E R”, (1) with the initial condition u(Gx)l,=, = 0 for x E R”. (2) The problem has a smooth solution u(t, x) = t*/4 other than the trivial solution. The purpose of this paper is to investigate properties of the set of solutions for problem (1) with condition (2).
openaire   +2 more sources

Control of Parabolic Partial Differential Equation Systems

2006 Chinese Control Conference, 2006
This paper introduces constraction and characteristic of a class of parabolic distributed parameter system, design a controller by combine Galerkin's method with approximate inertial manifolds. Simulations result shows that this system works well with high precision.
Shi Hong-yan, Yuan Decheng
openaire   +2 more sources

Parabolic and Hyperbolic Partial Differential Equations

1990
We consider the temperature distribution y(x,t) along a homogeneous rod of length L, which at one end (x=L) is held at temperature 0, while at the other end (x=0) the temperature is prescribed as a function b(t) of time. Let the thermal conductivity of the rod be f(x), the initial temperature be given as a(x), and let there be interior heat generation ...
openaire   +2 more sources

A note on the symmetry group and perturbation algebra of a parabolic partial differential equation

, 1991
In this paper, the symmetry group of the parabolic partial differential equation ∂tf=Af is focused on (A is an analytic second‐order elliptic linear differential operator on Rn).
M. C. Lara
semanticscholar   +1 more source