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Showing 1 to 20 of 153 for “"Time integration"”.
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Polynomial-Based Methods for Time-Integration
… into two parts: The first introduces a new time integration framework that is based on interpolating polynomials, and the second extends exponential integration to the spectral deferred correction framework. Both parts discuss time integration methods that can be derived without solving …
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Time integration methods for reactor kinetics.
Massachusetts Institute of Technology. Dept. of Nuclear Engineering. Thesis. 1972. Ph.D.
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Real-time Integration of Energy Storage
… in power systems on account of renewable integration, electric vehicle penetration and rising demands have resulted in the exploration of energy storage for potential solutions. Recent technology- and industry-driven developments have led to a drastic decrease in costs of these storages, …
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Multi-rate time integration on overset meshes
… significantly in resolution, standard explicit time integrators limit the maximum allowable timestep across the entire simulation domain to that of the finest mesh, per the well-known Courant-Friedrichs-Lewy (CFL) condition. What therefore results is a potentially high amount of computational …
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Time integration schemes for piecewise linear plasticity
… of a generalized trapezoidal rule for the integration of the constitutive equations for a convex elastic-plastic solid is presented. This rule, which is based on an internal variable description, is consistent with a generalized trapezoidal rule for creep. It is shown that by suitable …
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Time Integration Methods for Large-scale Scientific Simulations
… of equations that require the use of numerical time integration methods to solve. Many problems of scientific interest exhibit stiff behavior for which implicit methods are favorable, however standard implicit methods are computationally expensive. They require the solution of one or more large …
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Stabilized Explicit Time Integration for Parallel Air Quality Models
… concentrations over a certain period of time. The predictions can be used in setting limits for the emission levels of industrial facilities. The input data for the air quality models are very large and encompass various environmental conditions like wind speed, turbulence, temperature …
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Control and Time Integration Algorithms for Real-Time Hybrid Simulation
… As a novel member of hybrid simulation, Real-time Hybrid Simulations (RHS), since its conception in 1992, has shown its unique properties and capacity for testing complex structural components, especially rate-dependent ones. RHS often partitions the emulated structure into portions, which are …
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Time integration algorithms for finite element analysis of creep problems
… involved in the selection and implementation of time integration schemes for finite element analysis of nonlinear creep problems are investigated. The relationship between the nature of the integration algorithms and the mechanical principles of the time-dependent problem is explored. The …
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Evaluation of a direct time integration scheme for dynamic analysis
Direct integration schemes are important tools used in the dynamic analysis of many structures. It is critical that the solutions obtained from these schemes produce accurate results. Currently, one of the most widely used direct integration schemes is the trapezoidal rule. It is favored because it …
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Contributions to the direct time integration in wave propagation analyses
… for wave propagations. We review an implicit time integration method, the Bathe method, that remains stable without the use of adjustable parameters when the commonly used trapezoidal rule results in unstable solutions. We then focus on additional important attributes of the scheme. We present …
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Lightly-Implicit Methods for the Time Integration of Large Applications
… equations. For systems with widely varying time scales, or with complex physical dynamics, implicit time integration schemes are preferred due to their superior stability properties. However, for very large systems accurate solution of the implicit terms can be impractical. For this reason …
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A Patankar Predictor-Corrector Approach for Positivity-Preserving Time Integration
… and often satisfy conservation laws. Standard time integration methods, including classical Runge-Kutta schemes, can violate these structural properties, leading to non-physical solutions. This thesis presents a novel positivity-preserving correction strategy applicable to general time …
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Numerical investigation of time-integration schemes applicable to fluid-structure interaction
… to be recast in state-space form. The implicit time-marching schemes studied in this thesis are limited to the Backward Differentiation Formula (BDF) schemes, Modified Extended-BDF schemes, and a Singly-Diagonal Implicit Runge-Kutta (SDIRK) method. Verification and validation of temporal and …
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Advanced space-time integration for knowledge discovery in human mobility studies
… use cases. First, a locally adaptive space-time kernel approach is proposed to model the non-emergency municipal services demand in Chicago. Second, this work develops novel sequential similarity measures for analyzing human activity-travel patterns and Bayesian networks models with …
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Monolithic and partitioned Rosenbrock-based time integration methods for dynamic substructure tests
Real-time testing with dynamic substructuring provides an efficient way to simulate the nonlinear dynamic behaviour of civil structures or mechanical facilities. In this technique, the test structure is divided onto two substructures: the relatively crucial substructure is tested physically and the …
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An evaluation of time integration schemes in the solution of contact problems
… attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and …
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Advanced Time Integration Methods with Applications to Simulation, Inverse Problems, and Uncertainty Quantification
… seeks to advance forward and adjoint numerical time integration methodologies for the simulation and optimization of semi-discretized multiphysics partial differential equations (PDEs), and to estimate and control numerical errors via a goal-oriented a posteriori error framework. We extend …
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A Time Integration Method of Approximate Particular Solutions for Nonlinear Ordinary Differential Equations
<p>We consider a time-dependent method which is coupled with the method of approximate particular solutions (MAPS) of Delta-shaped basis functions and the method of fundamental solutions (MFS) to solve nonlinear ordinary differential equations. Firstly, we convert a nonlinear problem into a …
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A time integration procedure for elasto-viscoplastic constitutive equations of the internal variable type
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1985.
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