On the algebraic Bethe ansatz: Periodic boundary conditions [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2006 In this paper, the algebraic Bethe ansatz with periodic boundary conditions is used to investigate trigonometric vertex models associated with the fundamental representations of the non-exceptional Lie algebras.
A Lima-Santos +11 more
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Fractional-order differential equations with anti-periodic boundary conditions: a survey
Boundary Value Problems, 2017 We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti ...
Ravi P Agarwal +2 more
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On Matrix Product States for Periodic Boundary Conditions [PDF]
Journal of Physics A: Mathematical and General, 1999 The possibility of a matrix product representation for eigenstates with energy and momentum zero of a general m-state quantum spin Hamiltonian with nearest neighbour interaction and periodic boundary condition is considered.
Alcaraz F C +7 more
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Lipid and Peptide Diffusion in Bilayers: The Saffman-Delbrück Model and Periodic Boundary Conditions. [PDF]
J Phys Chem B, 2017 Venable RM +7 more
europepmc +2 more sources
Shifted periodic boundary conditions for simulations of wall-bounded turbulent flows
Physics of Fluids, 2016 In wall-bounded turbulent flow simulations, periodic boundary conditions combined with insufficiently long domains lead to persistent spanwise locking of large-scale turbulent structures.
W. Munters, C. Meneveau, J. Meyers
semanticscholar +3 more sources
Strong influence of periodic boundary conditions on lateral diffusion in lipid bilayer membranes. [PDF]
J Chem Phys, 2015 Camley BA +3 more
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A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks [PDF]
Journal of Computational Physics, 2020 We present a simple and effective method for representing periodic functions and enforcing exactly the periodic boundary conditions for solving differential equations with deep neural networks (DNN).
S. Dong, Naxian Ni
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Non-classical periodic boundary value problems with impulsive conditions
Journal of New Results in Science, 2023 This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk +2 more
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An efficient density matrix renormalization group algorithm for chains with periodic boundary condition [PDF]
Papers in Physics, 2016 The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the conventional DMRG ...
Dayasindhu Dey +2 more
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Communications in Advanced Mathematical Sciences, 2021 We present existence and uniqueness results for a class of higher order anti-periodic fractional boundary value problems with Riesz space derivative which is two-sided fractional operator.
Şuayip Toprakseven
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