Search Results - "Lorin Emmanuel, Lorin Emmanuel"
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Distribution of incubation periods of COVID-19 in the Canadian context
Published in Scientific reports (15-06-2021)“…We propose a novel model based on a set of coupled delay differential equations with fourteen delays in order to accurately estimate the incubation period of…”
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Estimation of COVID-19 recovery and decease periods in Canada using delay model
Published in Scientific reports (09-12-2021)“…We derive a novel model escorted by large scale compartments, based on a set of coupled delay differential equations with extensive delays, in order to…”
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Inverse Design of Strained Graphene Surfaces for Electron Control
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Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions
Published in Communications in nonlinear science & numerical simulation (01-04-2021)“…•Numerical analysis of the condition equations with the exact factorization of wavefunctions to molecular time-dependent Schrödinger equations.•Identification…”
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On the reservoir technique convergence for nonlinear hyperbolic conservation laws – Part I
Published in Journal of mathematical analysis and applications (15-08-2009)“…This paper is devoted to the analysis of flux schemes coupled with the reservoir technique for approximating hyperbolic equations and linear hyperbolic systems…”
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Non-diffusive neural network method for hyperbolic conservation laws
Published in Journal of computational physics (15-09-2024)“…In this paper we develop a non-diffusive neural network (NDNN) algorithm for accurately computing weak solutions to hyperbolic conservation laws. The principle…”
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Quasi-optimal domain decomposition method for neural network-based computation of the time-dependent Schrödinger equation
Published in Computer physics communications (01-06-2024)“…In this paper, we derive and analyze the performance of optimal/quasi-optimal Schwarz Waveform Relaxation (SWR) domain decomposition methods (DDM) for the…”
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Schwarz waveform relaxation-learning for advection-diffusion-reaction equations
Published in Journal of computational physics (15-01-2023)“…This paper develops a physics-informed neural network (PINN) combined with a Schwarz waveform relaxation (SWR) method for solving local and nonlocal…”
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Towards Perfectly Matched Layers for time-dependent space fractional PDEs
Published in Journal of computational physics (15-08-2019)“…•The construction of PMLs and some of their approximations are proposed for relatively general time-dependent space fractional PDEs. Building suitable boundary…”
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Time-dependent Dirac Equation with Physics-Informed Neural Networks: Computation and Properties
Published in Computer physics communications (01-11-2022)“…In this paper, we are interested in the computation of the time-dependent Dirac equation using physics-informed neural networks (PINNs), a new powerful tool in…”
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A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers
Published in Journal of computational physics (15-10-2019)“…A simple time-splitting pseudospectral method for the computation of the Dirac equation with Perfectly Matched Layers is proposed. Within this approach, basic…”
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Computational wavefunction dynamics in photonic graphene with symmetry breaking
Published in Applied numerical mathematics (01-05-2024)“…This paper is devoted to the derivation and analysis of a simple pseudospectral computational method for a two-dimensional time-dependent Schrödinger equations…”
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A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations
Published in Applied numerical mathematics (01-12-2022)“…This paper is dedicated to the derivation and analysis of a Schwarz waveform relaxation domain decomposition method for solving time-dependent linear/nonlinear…”
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Domain decomposition method for the N-body time-independent and time-dependent Schrödinger equations
Published in Numerical algorithms (01-06-2019)“…This paper is devoted to the derivation of a pleasingly parallel Galerkin method for the time-independent N -body Schrödinger equation, and its time-dependent…”
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A numerical study of fractional linear algebraic systems
Published in Mathematics and computers in simulation (01-04-2021)“…This paper is devoted to the study of numerical methods for solving large, sparse or full fractional linear algebraic systems (FLAS). The intent is to provide…”
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ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b
Published in Numerical linear algebra with applications (01-12-2021)“…This article is devoted to the computation of the solution to fractional linear algebraic systems using a differential‐based strategy to evaluate matrix–vector…”
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ODE-based Double-preconditioning for Solving Linear Systems $A^{\alpha}x = b$ and $f(A)x=b
Published in Numerical linear algebra with applications (2021)“…This paper is devoted to the computation of the solution to fractional linear algebraic systems using a differential-based strategy to evaluate matrix-vector…”
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Explicit Determination of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators
Published in Communications in computational physics (2020)“…The Optimized Schwarz Waveform Relaxation algorithm, a domain decomposition method based on Robin transmission condition, is becoming a popular computational…”
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