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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Sparse-Coding-Based Computed Tomography Image Reconstruction by Sang Min Yoon, Gang-Joon Yoon

“…Computed tomography (CT) is a popular type of medical imaging that generates images of the internal structure of an object based on projection scans of the object from several angles. There are numerous methods to reconstruct the original shape of the target object from scans, but they are still dependent on the number of angles and iterations. …”
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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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Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory by Shuchen Li, Luchen Zhang, Qian Sun, Ma Tengfei

“…Many numerical methods are carried out to study the nonlinear failure behaviors of the rock; however, the numerical simulation methods for the failed rock are still in the research stage. …”
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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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Development of a formalism of movable cellular automaton method for numerical modeling of fracture of heterogeneous elastic-plastic materials by S. Psakhie, E. Shilko, A. Smolin, S. Astafurov, V. Ovcharenko

“…A general approach to realization of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of particle-based numerical methods is proposed in the paper. It is based on building many-body forces of particle interaction, which provide response of particle ensemble correctly conforming to the response (including elastic-plastic behavior and fracture) of simulated solids. …”
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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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Development of a formalism of movable cellular automaton method for numerical modeling of fracture of heterogeneous elastic-plastic materials by S. Psakhie, E. Shilko, A. Smolin, S. Astafurov, V. Ovcharenko

“…A general approach to realization of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of particle-based numerical methods is proposed in the paper. It is based on building many-body forces of particle interaction, which provide response of particle ensemble correctly conforming to the response (including elastic-plastic behavior and fracture) of simulated solids. …”
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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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A New Car-Following Model with Consideration of Dynamic Safety Distance by Tao Wang, Jing Zhang, Guangyao Li, Keyu Xu, Shubin Li

“…Then, the phase diagram in the headway, speed, and sensitivity spaces is given to illustrate the impact of a variable safe distance on traffic flow. Finally, numerical methods are conducted to examine the performance of the proposed model with regard to two aspects: compared with the optimal velocity model, the new model can suppress traffic congestion effectively and, for different safety distances, the dynamic safety distance can improve the stability of vehicular stream. …”
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Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening by Lapostolle, Lucas, Morin, Léo, Derrien, Katell, Berthe, Laurent, Castelnau, Olivier

“…The exact and numerical results present a good match, allowing either the use of the exact solution for an initial estimation of the mechanical fields, or to test the accuracy of other numerical methods.…”
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Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method by W.J. Si, K.Y. Lam, S.W. Gong

“…Frequency parameters for 13 cases of rectangular plates with at least one guided edge, which are possible by approximate or numerical methods only, are presented. These results are new in literature.…”
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Insurance as a loan agreement for managing risk in corporate lending by Đekić Marija, Ristanović Vladimir

“…Credit risk management is one of the most important banking operations, both in developed and developing countries. In addition to numerous methods and techniques, banks decide to conclude special credit agreements when granting loans to economic entities. …”
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Review and experimental comparison of speckle-tracking algorithms for X-ray phase contrast imaging by Rafael Celestre, Laurène Quénot, Christopher Ninham, Emmanuel Brun, Luca Fardin

“…In this review and experimental comparison, we focus on using X-ray near-field speckle grains as wavefront markers and numerical methods for retrieving the phase information they contain. …”
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A Semi-Analytical Approach for State-Space Electromagnetic Transient Simulation by Min Xiong, Kaiyang Huang, Yang Liu, Rui Yao, Kai Sun, Feng Qiu

“…Case studies are conducted on EMT models of the IEEE 39-bus system and large-scale systems to demonstrate the merits of the new simulation approach against traditional numerical methods.…”
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