Results 21 to 30 of about 49,601,406 (331)
Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core +7 more sources
Numerical Modelling of Microstructure Evolution in Friction Stir Welding (FSW)
Metals, 2018 This work studies the metallurgical and microstructural aspects of Friction Stir Welding (FSW) in terms of grain size and microhardness. The modelling is based on the combination of an apropos kinematic framework for the local simulation of FSW processes
Narges Dialami +2 more
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Topology optimization of impeller blades in baffled stirred tanks
Case Studies in Chemical and Environmental Engineering, 2020 An approach for the numerical topology optimization of baffled stirred tanks is presented and demonstrated exemplarily on impeller blades. The methodology is based on the well-known Brinkman penalization method, which is used to alter the impeller blade ...
Jakob Munz, Michael Schäfer
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Journal of Manufacturing and Materials Processing, 2023 Additively manufactured thin-walled structures through selective laser melting (SLM) are of great interest in achieving carbon-neutral industrial manufacturing.
Xufei Lu +4 more
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Fractional Calculus and Applied Analysis, 2019 Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other variables dependent order have been successfully applied to investigate time and/or space dependent dynamics.
Hong-Guang Sun +3 more
semanticscholar +1 more source
Effect of the Tool Tilt Angle on the Heat Generation and the Material Flow in Friction Stir Welding
Metals, 2018 This work studies the effect of the tool tilt angle on the generated heat and the material flow in the work pieces joint by Friction Stir Welding (FSW). An apropos kinematic framework together with a two-stage speed-up strategy is adopted to simulate the
Narges Dialami +2 more
doaj +1 more source
ChatGPT FOR PROGRAMMING NUMERICAL METHODS
Journal of Machine Learning for Modeling and Computing, 2023 ChatGPT is a large language model recently released by the OpenAI company. In this technical report, we explore for the first time the capability of ChatGPT for programming numerical algorithms. Specifically, we examine the capability of GhatGPT for generating codes for numerical algorithms in different programming languages, for debugging and ...
Ali Kashefi, Tapan Mukerji
openaire +3 more sources
Survey on the Numerical Methods for ODE's Using the Sequence of Successive Approximations [PDF]
, 2005 Here we present the error estimations in the numerical methods for Cauchy problems corresponding to ODE’s, which use the sequence of successive approximations and quadrature rules such as trapezoidal rule and perturbed trapezoidal ...
Bica, Alexandru Mihai
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Bayesian Probabilistic Numerical Methods [PDF]
SIAM Review, 2017 Over forty years ago average-case error was proposed in the applied mathematics literature as an alternative criterion with which to assess numerical methods.
J. Cockayne +3 more
semanticscholar +1 more source
A robust algorithm for implicit description of immersed geometries within a background mesh
Advanced Modeling and Simulation in Engineering Sciences, 2018 The paper presents a robust algorithm, which allows to implicitly describe and track immersed geometries within a background mesh. The background mesh is assumed to be unstructured and discretized by tetrahedrons.
Daniel Baumgärtner +4 more
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