Results 31 to 40 of about 407,150 (131)
Evolution PDEs and augmented eigenfunctions. I finite interval [PDF]
, 2013 The so-called unified method expresses the solution of an initial-boundary value problem for an evolution PDE in the finite interval in terms of an integral in the complex Fourier (spectral) plane.
Fokas, Athanassios S, Smith, David A
core +1 more source
Advances in Materials Science and Engineering, 2019 This paper reports a stress analysis of some fundamental samples made of soft-matter quasicrystals with 8-fold symmetry based on the generalized dynamics.
Fang Wang +3 more
doaj +1 more source
Physically Realistic Solutions to the Ernst Equation on Hyperelliptic Riemann Surfaces
, 1998 We show that the class of hyperelliptic solutions to the Ernst equation (the stationary axisymmetric Einstein equations in vacuum) previously discovered by Korotkin and Neugebauer and Meinel can be derived via Riemann-Hilbert techniques.
A. Erdélyi +41 more
core +3 more sources
On stability zones for discrete-time periodic linear Hamiltonian systems
Advances in Difference Equations, 2006 The main purpose of the paper is to give discrete-time counterpart for some strong (robust) stability results concerning periodic linear Hamiltonian systems.
Răsvan Vladimir
doaj +2 more sources
Fast integral equation methods for the Laplace-Beltrami equation on the sphere [PDF]
, 2013 Integral equation methods for solving the Laplace-Beltrami equation on the unit sphere in the presence of multiple "islands" are presented. The surface of the sphere is first mapped to a multiply-connected region in the complex plane via a stereographic ...
A. Kropinski +2 more
core
Dwuwymiarowe Zagadnienie Teorii Naprężeni Cieplnych
Engineering Transactions, 1966 The general (complex) solution of the equations of the plane theory of thermal stress is obtained assuming that the temperature is an analytic function.
J. Filipkowski
doaj
Wave Propagation in an Elastic Half Space Due to Couples Applied at a Point Beneath the Surface [PDF]
, 1974 Office of Naval Research. Department of the Navy: Contract No. N00014-67-A-0305-0010; Project No. NR 064-183U.S. Army Research Office - Durham: Project No. D0161102B33G, Proposal No.
Farewell, Thomas Eugene, Robinson, A.R.
core
Some estimates for elliptic systems generalizing the Bitsadze system of equations
Учёные записки Казанского университета: Серия Физико-математические наукиThis article explores an elliptic system of n equations where the main part is the Bitsadze operator (the square of the Cauchy–Riemann operator) and the lower term is the product of a given matrix function by the conjugate of the desired vector function.
S. Baizaev, R. N. Barotov
doaj +1 more source
Numerical solution of scattering problems using a Riemann--Hilbert formulation [PDF]
, 2019 A fast and accurate numerical method for the solution of scalar and matrix Wiener--Hopf problems is presented. The Wiener--Hopf problems are formulated as Riemann--Hilbert problems on the real line, and a numerical approach developed for these problems ...
Luca, Elena, Smith, Stefan G. Llewellyn
core +2 more sources
A Novel Approach to Elastodynamics: II. The Three-Dimensional Case [PDF]
, 2010 A new approach was recently introduced by the authors for constructing analytic solutions of the linear PDEs describing elastodynamics. Here, this approach is applied to the case of a homogeneous isotropic half-space body satisfying arbitrary initial ...
Fokas, A. S., Yang, D.
core