Results 11 to 20 of about 6,303,126 (332)
The initial value problem as it relates to numerical relativity [PDF]
Reports on progress in physics. Physical Society, 2016 Spacetime is foliated by spatial hypersurfaces in the 3+1 split of general relativity. The initial value problem then consists of specifying initial data for all fields on one such a spatial hypersurface, such that the subsequent evolution forward in ...
W. Tichy
semanticscholar +1 more source
Initial value problem in string-inspired nonlocal field theory
Journal of High Energy Physics, 2022 We consider a nonlocal scalar field theory inspired by the tachyon action in open string field theory. The Lorentz-covariant action is characterized by a parameter ξ 2 that quantifies the amount of nonlocality.
Harold Erbin +2 more
doaj +1 more source
On Reusing the Stages of a Rejected Runge-Kutta Step
Mathematics, 2023 Runge-Kutta (RK) pairs are amongst the most popular methods for numerically solving Initial Value Problems. While using an RK pair, we may experience rejection of some steps through the interval of integration.
Vladislav N. Kovalnogov +4 more
doaj +1 more source
Runge–Kutta Embedded Methods of Orders 8(7) for Use in Quadruple Precision Computations
Mathematics, 2022 High algebraic order Runge–Kutta embedded methods are commonly used when stringent tolerances are demanded. Traditionally, various criteria are satisfied while constructing these methods for application in double precision arithmetic.
Vladislav N. Kovalnogov +4 more
doaj +1 more source
Solving the Initial Value Problem of two Black Holes [PDF]
, 2000 We solve the elliptic equations associated with the Hamiltonian and momentum constraints, corresponding to a system composed of two black holes with arbitrary linear and angular momentum.
A. D. Kulkarni +14 more
core +2 more sources
Orthogonal-Based Second Order Hybrid Initial Value Problem Solver
Fountain Journal of Natural and Applied Sciences (FUJNAS), 2016 This work focuses on development of an initial value problem solver by employing a new class of orthogonal polynomial, the basis function. We present the recursive formula of the class of polynomials constructed and adopt collocation technique to ...
E. O. Adeyefa +3 more
doaj +3 more sources
The Green's functions for the Broadwell Model in a half space problem
Networks and Heterogeneous Media, 2006 We study an initial boundary value problem for the Broadwellmodel with a supersonic physical boundary. The Green's function for an initialvalue problem is constructed and its detailed pointwise structure is obtainedthrough the novel decompositions ...
Chiu-Ya Lan, Huey-Er Lin, Shih-Hsien Yu
doaj +1 more source
The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line [PDF]
Communications on Pure and Applied Analysis, 2018 We study the local and global wellposedness of the initial-boundary value problem for the biharmonic Schr\"odinger equation on the half-line with inhomogeneous Dirichlet-Neumann boundary data. First, we obtain a representation formula for the solution of
Turker Ozsari, N. Yolcu
semanticscholar +1 more source
The Initial Value Problem For Maximally Non-Local Actions [PDF]
, 1997 We study the initial value problem for actions which contain non-trivial functions of integrals of local functions of the dynamical variable. In contrast to many other non-local actions, the classical solution set of these systems is at most discretely ...
D. A. Eliezer +5 more
core +3 more sources
A Fitted Scheme for a Caputo Initial-Boundary Value Problem [PDF]
Journal of Scientific Computing, 2018 In this paper we consider an initial-boundary value problem with a Caputo time derivative of order α∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
J. Gracia, E. O'Riordan, M. Stynes
semanticscholar +1 more source