Search Results - numerical approximation of solutions of dynamical problems in applied mechanics

Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part II. Time finite element approximation by Sheng, G., Fung, T. C., Fan, S. C.

“… In part II of this paper, we extend the formulations to a proper form to develop high-performance time finite elements for numerical solutions of dynamic problems…”
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Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part I. Global approximation by Sheng, G., Fung, T. C., Fan, S. C.

“…Many dynamic problems can be solved numerically by using Hamilton's law. The solution is expressed as a series in the time domain with undetermined coefficients…”
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Erratum to `Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes' [Applied Mathematical Modelling 24 (2000) 637–655] by Chen, C.-N

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Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes by Chen, C.-N

“…Integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed…”
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Numerical Solutions to Dynamic Portfolio Problems: The Case for Value Function Iteration using Taylor Approximation by Garlappi, Lorenzo, Skoulakis, Georgios

“…) is inferior to portfolio weight iteration (PWI), when a Taylor approximation is used. In particular, they report that the value function iteration produces highly inaccurate solutions when risk aversion is high and the investment horizon long…”
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NUMERICAL SOLUTION OF ELASTODYNAMIC PROBLEMS IN FRACTURE MECHANICS (SINGULAR INTEGRAL EQUATIONS, APPLIED MECHANICS) by ONG, MICHAEL KING

“… of singular integral equation of Cauchy type. The approximate numerical solution of these integral equations furnishes estimates for the stress…”
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An efficient numerical solution for singular integral equation in applied mechanics: Application to frictional contact problem of layer & substrate structure by Zhu, Kai, Jiang, Zhizhen, Jin, Xiaoqing

“…An efficient numerical solution for singular integral equation of both first and second kinds is presented…”
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The Laguerre spectral method as applied to numerical solution of a two−dimensional linear dynamic seismic problem for porous media by Berdyshev, Abdumauvlen, Imomnazarov, Kholmatzhon, Tang, Jian-Gang, Mikhailov, Aleksander

“…) and twodimensional heterogeneous with respect to space. For a numerical solution of the dynamic problem of poroelasticity we use the Laguerre transform with respect to time and the finite…”
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Numerical solutions for distributed-order fractional optimal control problems by using generalized fractional-order Chebyshev wavelets by Ghanbari, Ghodsieh, Razzaghi, Mohsen

“…This paper studies a numerical approach based on generalized fractional-order Chebyshev wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs…”
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Numerical solutions of Schrödinger wave equation and Transport equation through Sinc collocation method by Ahmad, Iftikhar, Hussain, Syed Ibrar, Ilyas, Hira, García Guirao, Juan Luis, Ahmed, Adeel, Rehmat, Shabnam, Saeed, Tareq

“… Sinc collocation method (SCM) is found to be a more robust approach in order to avoid singularities in proposed problems and for yielding accurate numerical results…”
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On Admissibility Criteria for Weak Solutions of the Euler Equations by de Lellis, Camillo, Székelyhidi, László

“…We consider solutions to the Cauchy problem for the incompressible Euler equations satisfying several additional requirements, like the global and local energy inequalities…”
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A Discontinuous Galerkin Material Point Method for the solution of impact problems in solid dynamics by Renaud, Adrien, Heuzé, Thomas, Stainier, Laurent

“… of the deformation without mesh tangling issues. The background mesh is then used as a support for the Discontinuous Galerkin approximation that leads to a weak form of conservation laws involving numerical fluxes defined at element faces…”
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Construction and application of exact solutions of the diffusive Lotka–Volterra system: A review and new results by Cherniha, Roman, Davydovych, Vasyl’

“… specialists from Applied Mathematics but also those from other branches of Science. The obtained exact solutions can also be used as test problems for estimating…”
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Stability and Numerical Analysis of Micropolar Viscoelastic Systems by Bazarra, Noelia, Fernández, José R., Fernández Sare, Hugo D., Quintanilla, Ramón

“… Then, the polynomial energy decay is obtained applying a characterization of the system operator. In a second part, we consider the numerical approximation of a variational version of the above problem…”
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New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model by Ankur, Jiwari, Ram

“…In this article, the authors analyze the dynamics of new soliton-type analytical solutions and simulate the generalized Benjamin-Bona-Mahony-Burgers (GBBMB) model…”
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A PINN-based level-set formulation for reconstruction of bubble dynamics by M. Silva, Rômulo, Grave, Malú, Coutinho, Alvaro L. G. A.

“…Solving problems in fluid mechanics plays an essential role in science and engineering, especially when it comes to optimal design, reconstruction of biomedical and geophysical flows, parameter estimation…”
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Global Solutions for Incompressible Viscoelastic Fluids by lei, Zhen, Liu, Chun, Zhou, Yi

“…We prove the existence of both local and global smooth solutions to the Cauchy problem in the whole space and the periodic problem in the n -dimensional torus for the incompressible viscoelastic…”
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Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem by Salahshour, Soheil, Ahmadian, Ali, Pansera, Bruno A., Ferrara, Massimiliano

“… In this paper, we intend to obtain some numerical approximations of inverse problem by means of fractional differential equations under interval uncertainty…”
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Equilibrium dynamics of a circular restricted three-body problem with Kerr-like primaries by Alrebdi, H. I., Dubeibe, Fredy L., Papadakis, Konstantinos E., Zotos, Euaggelos E.

“… Using numerical methods, we explore the dynamical properties of the points of equilibrium of the system…”
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Global Conservative Solutions of the Camassa–Holm Equation by Bressan, Alberto, Constantin, Adrian

“… is transformed into a semilinear system, whose solutions are obtained as fixed points of a contractive transformation…”
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