Results 91 to 100 of about 83,635 (342)

Multipole-Preserving Quadratures for Discretization of Functions in Real-Space Electronic Structure Calculations

, 2015
Discretizing an analytic function on a uniform real-space grid is often done via a straightforward collocation method. This is ubiquitous in all areas of computational physics and quantum chemistry.
Deutsch, Thierry, Genovese, Luigi
core   +3 more sources

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Legendre spectral collocation method for solving nonlinear fractional Fredholm integro-differential equations with convergence analysis

AIMS Mathematics
The main purpose of this work was to develop a spectrally accurate collocation method for solving nonlinear fractional Fredholm integro-differential equations (non-FFIDEs).
A. H. Tedjani , A. Z. Amin, Abdel-Haleem Abdel-Aty, M. A. Abdelkawy, Mona Mahmoud   +4 more
doaj   +1 more source

Medical students' initial experiences of the dissection room and interaction with body donors: A qualitative study of professional identity formation, educational benefits, and the experience of Pasifika students

Anatomical Sciences Education, EarlyView.
Abstract The first experience of medical students in the dissecting room (DR) likely influences professional identity formation (PIF). Sparse data exist exploring how exposure to the DR and body donors without undertaking dissection influences PIF, or how culture may influence this experience.
Jacob Madgwick, Lynley Anderson, Jon Cornwall   +2 more
wiley   +1 more source

Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation

Bulletin of Computational Applied Mathematics, 2016
In this paper, a reliable algorithm for solving the nonlinear Hammerstein integral equation arising from chemical phenomenon is presented. The conductor-like screening model for real solvents (COSMO-RS) integral equation will be solved by the shifted ...
Esmail Hesameddini, Mehdi Shahbazi
doaj  

Verbatim theater: A transformative approach for bringing research to life

Anatomical Sciences Education, EarlyView.
Abstract Traditional methods of research translation within the scientific and health professions community are typically quite narrow, often focusing on written textual outputs and conference presentations. Considering translation approaches for our research findings and ‘who’ and ‘what’ we are trying to influence is worthy of alternative approaches ...
Janeane Dart, Gabrielle Brand
wiley   +1 more source

Numerical approximation of space-fractional diffusion equation using Laguerre spectral collocation method

International Journal of Mathematics for Industry
The space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew, Mekash Ayalew, Mulualem Aychluh   +2 more
doaj   +1 more source

Studies on the Method of the Orthogonal Collocation VIII: A Spline Collocation Method for Distillation Columns Simulation

Journal of King Saud University: Engineering Sciences, 2009
The author (1992) developed a spline collocation method that was successfully applied to continuous systems described by differential equations. It is based on selecting the spline point such that the second derivative of the independent variable is zero
Moustafa A. Soliman
doaj   +1 more source

Human vs. artificial intelligence: Physicians outperform ChatGPT in real‐world pharmacotherapy counselling

British Journal of Clinical Pharmacology, EarlyView.
Aims To assess the utility of the artificial intelligence (AI) chatbot ChatGPT (openly available version 3.5) in responding to real‐world pharmacotherapeutic queries from healthcare professionals. Methods Three independent and blinded evaluators with different levels of medical expertise and professional experience (beginner, advanced, and expert ...
Benjamin Krichevsky, Stefan Engeli, Stefanie M. Bode‐Böger, Felix Koop, Martin Schulze Westhoff, Sebastian Schröder, Carsten Schumacher, Thorben Pape, Dirk O. Stichtenoth, Johannes Heck   +9 more
wiley   +1 more source

Studies on the Method of Orthogonal Collocation II. An Efficient Numerical Method for the Solution of the Transient Heat Conduction Problem

Journal of King Saud University: Engineering Sciences, 1999
An efficient numerical method for the solution of the transient heat conduction problem is developed using the orthogonal collocation method. The method is based on dividing the domain of temperature change into two zones; a zone for which the ...
Mostafa Ali Soliman, A.A. Ibrahim
doaj   +1 more source