Integrated correlators with a Wilson line in a N $$ \mathcal{N} $$ = 2 quiver gauge theory at strong coupling by Alessandro Pini

“…Finally, through a combination of analytical and numerical methods, we determine the leading terms of the corresponding strong-coupling expansions.…”
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GridLAB-D: An Agent-Based Simulation Framework for Smart Grids by David P. Chassin, Jason C. Fuller, Ned Djilali

“…This paper presents the numerical methods and approach to time-series simulation used by GridLAB-D and reviews applications in power system studies, market design, building control system design, and integration of wind power in a smart grid.…”
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Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations by Carlos Spa, Pedro Reche-López, Erwin Hernández

“…In the context of wave-like phenomena, Fourier pseudospectral time-domain (PSTD) algorithms are some of the most efficient time-domain numerical methods for engineering applications. One important drawback of these methods is the so-called Gibbs phenomenon. …”
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Emergency Gate Vibration of the Pipe-Turbine Model by Andrej Predin, Roman Klasinc

“…In particular the behavior is examined of the emergency gate for the case when the power unit is disconnected from the system or there is a breakdown of the guide vane system at the moment when the maximal head and capacity are achieved. Experimental-numerical methods both in the time domain and in the frequency domain are employed. …”
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Adaptive Optimal 𝑚-Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems by Jui-Ling Yu

“…We present a class of numerical methods for the reaction-diffusion-chemotaxis system which is significant for biological and chemistry pattern formation problems. …”
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Using Resin Infiltration Technique and Direct Composite Restorations for the Treatment of Carious Lesions with Different Depths by İsmail Serhat Sadıkoğlu

“…Minimally invasive treatment methods are of special interest in restorative dental practice, with numerous methods emerging in the last decade. Such methods are being developed to encompass various applications, an important one being the detection and treatment of caries in the early stages. …”
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Simulation of Chloride Ingress through Surface-Coated Concrete during Migration Test Using Finite-Difference and Finite-Element Method by Seyoon Yoon

“…This paper presents the simulation of the effects of the surface coatings on migration tests by solving the Nernst-Planck/Poisson model using both finite-difference method and finite-element method. These two numerical methods were compared in terms of their accuracy and computational speed. …”
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Particle Concentration Comparison of Radiator and Floor Heating Systems under Zero Air Change Rate Condition by Mustafa Mutlu

“…Two different heating systems (radiator and floor heating systems) widely used in residential applications were compared for a room where the air change rate is zero, using numerical methods in terms of particle concentrations. 3D dimensional CFD simulations show that the floor heating system performs better in removing the pollutants dispersed homogeneously in the room, while the radiator system is more effective in removing the pollutants emitted from a source close to the floor. …”
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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems by Chichia Chiu, Jui-Ling Yu

“…Theorems about stability and convergence of thealgorithm are given to show that the algorithm is highly stable and efficient.Numerical experiment results on a model problem are given for comparisonwith other numerical methods. Simulations on two real biological experimentswill also be shown.…”
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Stochastic Neutron Population with Temperature Feedback Effects Using the Implicit Runge-Kutta Scheme by Daniel Suescún-Díaz

“…The numerical simulations present good approximations in terms of means and standard deviations in agreement with other results using different numerical methods. The proposed scheme has good accuracy, it can be considered as an alternative method to simulate the time evolution of the stochastic density of the neutron population and the concentration of delayed neutron precursors considering temperature feedback effects.…”
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Plasma-sprayed thermal barrier coatings: numerical study on damage localization and evolution by K. Slámečka, P. Skalka, L. Čelko, J. Pokluda, L. Saucedo-Mora, T. J. Marrow, U. Thandavamoorthy

“…Because of complexity, numerical methods became important tools both for design of these coatings and for in-service life estimations and optimization. …”
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Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation by Metomou Richard, Weidong Zhao

“…The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. …”
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Stability and Bifurcation Analysis of a Delayed Leslie-Gower Predator-Prey System with Nonmonotonic Functional Response by Jiao Jiang, Yongli Song

“…Two limit cycles enclosing an equilibrium, one limit cycle enclosing three equilibria and different types of heteroclinic orbits such as connecting two equilibria and connecting a limit cycle and an equilibrium are also found by using analytic and numerical methods.…”
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Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions by Pawarisa Samalerk, Nopparat Pochai

“…If the pollutant concentration at the discharge point is not uniform, then numerical methods and data analysis techniques were introduced. …”
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New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency by A. I. Ismail

“…The numerical solutions for the system of equations of motion are obtained by one of the well-known numerical methods. The comparison between the obtained numerical solutions and analytical ones is carried out to show the errors between them and to prove the accuracy of both used techniques. …”
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Mathematical model for the analysis of environmental risk factors by I. V. Sukhorukova, N. A. Chistyakova

“…The development of a dynamic model is based on the methods of probability theory, actuarial mathematics and, accordingly, on the, numerical methods and simulation methods. Analytical expressions for the risk factor integral value of environmental management are obtained in the work. …”
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Reentry Trajectory Optimization Based on a Multistage Pseudospectral Method by Jiang Zhao, Rui Zhou, Xuelian Jin

“…Of the many direct numerical methods, the pseudospectral method serves as an effective tool to solve the reentry trajectory optimization for hypersonic vehicles. …”
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A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations by Fuzhang Wang, Enran Hou

“…Numerical experiments performed with the proposed numerical scheme for several two-dimensional second-order hyperbolic telegraph equations are presented with some discussions, which show that the DMM solutions are converging very fast in comparison with the various existing numerical methods.…”
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Enriched Meshfree Method for an Accurate Numerical Solution of the Motz Problem by Won-Tak Hong

“…The Motz problem has been known as a benchmark problem to verify the efficiency of numerical methods in the presence of a jump boundary data singularity at a point, where an abrupt change occurs for the boundary condition. …”
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Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator by Qinwu Xu, Zhoushun Zheng

“…Due to the complicated form of the kernel and weight function in the convolution, it is even harder to design high order numerical methods for differential equations with generalized fractional operators. …”
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