Results 41 to 50 of about 345,546 (151)

Analytic auxiliary mass flow to compute master integrals in singular kinematics

open access: yesJournal of High Energy Physics
The computation of master integrals from their differential equations requires boundary values to be supplied by an independent method. These boundary values are often desired at singular kinematical points.
Gaia Fontana   +2 more
doaj   +1 more source

Structural Shape Optimization Based on Multi-Patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics

open access: yesMathematics
In this paper, a multi-patch weakly singular isogeometric boundary element method (WSIGABEM) for two-dimensional elastostatics is proposed. Since the method is based on the weakly singular boundary integral equation, quadrature techniques, dedicated to ...
Zhenyu Chen, Longtao Xie
doaj   +1 more source

The solution to Wheeler-DeWitt is eight

open access: yes, 1994
We describe a new geometrical solution to the Wheeler-DeWitt equation in two dimensional quantum gravity. The solution is the amplitude of a surface whose boundary consists of two tangent loops.
Adi   +10 more
core   +1 more source

On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]

open access: yes, 2013
Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe   +6 more
core   +3 more sources

Integrability of the limit model for a vacuum diode and a solution to the singular boundary-value problem

open access: yesElectronic Journal of Differential Equations, 2016
This article concerns singular boundary-value problems for a vacuum diode model. We prove the integrability of a system of nonlinear differential equations and construct a complete system of the first integrals; thus developing a method for solving ...
Alexander A. Kosov   +2 more
doaj  

Analytical method for systems of nonlinear singular boundary value problems

open access: yesPartial Differential Equations in Applied Mathematics
The standard Lane–Emden equations model several physical phenomena such as isotropic continuous media, thermal behaviour of a spherical cloud of gas, and isothermal gas spheres.
Richard Olu Awonusika   +1 more
doaj   +1 more source

A higher-order method for nonlinear singular two-point boundary value problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We present a finite difference method for a general class of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields
K. M. Furati, M. A. El-Gebeily
doaj   +1 more source

A local target specific quadrature by expansion method for evaluation of layer potentials in 3D

open access: yes, 2018
Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations. Quadrature by expansion (QBX) is a recently introduced method that can offer high accuracy for singular and ...
Siegel, Michael, Tornberg, Anna-Karin
core   +1 more source

Mixed finite difference method for singularly perturbed differential difference equations with mixed shifts via domain decomposition

open access: yesAin Shams Engineering Journal, 2018
In this paper, a mixed finite difference method is proposed to solve singularly perturbed differential difference equations with mixed shifts, solutions of which exhibit boundary layer behaviour at the left end of the interval using domain decomposition.
Lakshmi Sirisha   +2 more
doaj   +1 more source

Scaling limits of random normal matrix processes at singular boundary points [PDF]

open access: yes, 2019
We give a method for taking microscopic limits of normal matrix ensembles. We apply this method to study the behaviour near certain types of singular points on the boundary of the droplet.
Ameur, Yacin,   +4 more
core   +2 more sources

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