Results 31 to 40 of about 110,790 (301)

Knot points of a double-covariant system of elliptic equations and preferred frames in general relativity [PDF]

Journal of Physics A: Mathematical and General, 2002
The elliptic system of equations, which is general-covariant and locally SU(2)-covariant, is investigated. The new condition of the Dirichlet problem solvability and the condition of zeros absence for solutions are obtained for this system, which contains in particular case the Sen-Witten equation.
openaire   +4 more sources

Hyperbolic relaxation method for elliptic equations [PDF]

Physical Review D, 2017
We show how the basic idea of parabolic Jacobi relaxation can be modified to obtain a new class of hyperbolic relaxation schemes that are suitable for the solution of elliptic equations.
H. Ruter, D. Hilditch, Marcus Bugner, Bernd Brugmann Theoretical Physics Institute, U. Jena, Jena, H Germany, Centra, U. Lisbon, Lisboa, Portugal   +10 more
semanticscholar   +1 more source

Dirichlet and Neumann Problems Related to Nonlinear Elliptic Systems: Solvability, Multiple Solutions, Solutions with Positive Components

Abstract and Applied Analysis, 2012
We study the solvability of Dirichlet and Neumann problems for different classes of nonlinear elliptic systems depending on parameters and with nonmonotone operators, using existence theorems related to a general system of variational equations in a ...
Luisa Toscano, Speranza Toscano
doaj   +1 more source

Multi-level higher order QMC Galerkin discretization for affine parametric operator equations [PDF]

, 2014
We develop a convergence analysis of a multi-level algorithm combining higher order quasi-Monte Carlo (QMC) quadratures with general Petrov-Galerkin discretizations of countably affine parametric operator equations of elliptic and parabolic type ...
Dick, Josef, Gia, Quoc Thong Le, Kuo, Frances, Schwab, Christoph   +3 more
core   +1 more source

(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

Journal of High Energy Physics, 2018
We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody U q g ^ k $$ {U}_q{\left(\widehat{\mathfrak{g}}\right)}_k $$ to generic quantum toroidal algebras.
Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov, Kazuma Suetake, Yegor Zenkevich   +5 more
doaj   +1 more source

A boundary value problem for the wave equation

International Journal of Mathematics and Mathematical Sciences, 1999
Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate
Nezam Iraniparast
doaj   +1 more source

Some estimates for elliptic systems generalizing the Bitsadze system of equations

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
   This 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. The system was analyzed in the Banach space of vector functions that are bounded and uniformly H¨
S. Baizaev, R. N. Barotov
openaire   +2 more sources

Relativistic MHD and black hole excision: Formulation and initial tests

, 2005
A new algorithm for solving the general relativistic MHD equations is described in this paper. We design our scheme to incorporate black hole excision with smooth boundaries, and to simplify solving the combined Einstein and MHD equations with AMR.
Anton L Zanotti O Miralles J A Marti J M Ibanez J M Font J A Pons J A, Arnowitt R, Blandford R D, David Neilsen, De Villiers J-P Hawley J F, Duez M D Liu Y T Shapiro S L Stephens B C, Eric W Hirschmann, Giacomazzo B, Komissarov S S, Lehner L, Lehner L, Lehner L Reula O, Lehner L Reula O Tiglio M, Lucas-Serrano A Font J A Ibanez J M Marti J M, R Steven Millward, Scheel M, Sebastian K, Shu C-W, Sloan J, Tang H S, Thornburg J, Thornburg J, Thornburg J   +22 more
core   +1 more source

Modeling a Quantum Hall System via Elliptic Equations

Advances in Mathematical Physics, 2009
Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeling and nanosystem-specific signal processing. Recently,
Artur Sowa
doaj   +1 more source

Adaptive Mesh Refinement for Coupled Elliptic-Hyperbolic Systems

, 2006
We present a modification to the Berger and Oliger adaptive mesh refinement algorithm designed to solve systems of coupled, non-linear, hyperbolic and elliptic partial differential equations.
Abrahams, Abrahams, Abrahams, Almgren, Andersson, Arnowitt, Bardeen, Berger, Berger, Bonazzola, Brandt, Brown, Brown, Brügmann, Brügmann, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Choptuik, Cook, Diener, Dimmelmeier, Duez, Evans, Evans, Frans Pretorius, Garfinkle, Hamade, Hamade, Holst, Imbiriba, Lehner, Liebling, Liebling, Lindblom, Matthew W. Choptuik, Matzner, McCormick, Misner, Nakamura, New, Olabarrieta, Papadopoulos, Pfeiffer, Piran, Pretorius, Pretorius, Schnetter, Shapiro, Stark, Trottenberg, Ventrella, York   +56 more
core   +1 more source