Results 51 to 60 of about 1,536 (163)

Sundman‐Like Transformations and the NRT Nonlinear Schrödinger Equation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present a new generalization of the well‐known power‐type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. Our aim is to explore the use of such transformations in the derivation of solutions of ordinary differential equations and in the study of their properties.
P. R. Gordoa, A. Pickering, D. Puertas‐Centeno, E. V. Toranzo   +3 more
wiley   +1 more source

Numerical Methods for Ordinary Differential Equations on Matrix Manifolds

, 2007
In recent years differential systems whose solutions evolve on manifolds of matrices have acquired a certain relevance in numerical analysis. A classical example of such a differential system is the well-known Toda flow. This paper is a partial survey of
LOPEZ, Luciano, Lopez, L.
core   +1 more source

New simple iteration method for solving non-linear ODEs/PDEs with fluid mechanics applications [PDF]

, 2017
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.This work presents a new simple iteration method for solving different classes of non-linear ordinary and ...
Motsa, Sandile
core  

Numerical methods in vehicle system dynamics: state of the art and current developments

, 2011
Robust and efficient numerical methods are an essential prerequisite for the computer based dynamical analysis of engineering systems. In vehicle system dynamics, the methods and software tools from multibody system dynamics provide the integration ...
Arnold, Martin, Führer, Claus,, Hippmann, Gerhard, Rill, Georg, Lund University., Burgermeister, Bernhard   +5 more
core   +2 more sources

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source

Cohomogeneity Two Ricci Solitons with Sub-Euclidean Volume

We introduce new families of four-dimensional Ricci solitons of cohomogeneity two with volume collapsing ends. In a local presentation of the metric conformal to a product, we reduce the soliton equation to a degenerate Monge-Ampère equation for the ...
Firester, Benjy, Tsiamis, Raphael
core   +1 more source

P-stable General Nystrom methods for y’’=f(x,y)

, 2014
We focus our attention on the family of General Linear Methods (GLMs), for the numerical solution of second order ordinary differential equations (ODEs).
D'AMBROSIO, RAFFAELE, PATERNOSTER, Beatrice   +1 more
core   +1 more source

Kinetics of ε‐Caprolactone Ring Opening Polymerization: Experimental and Modeling Study

Journal of Polymer Science, EarlyView.
We present a multi‐scale model for the ring‐opening polymerization of ε‐caprolactone to polycaprolactone (PCL), approximating final melt properties. We conducted batch experiments at various temperatures and reactant ratios. Using this data, we determined the kinetic parameters.
Jakub Staś, Milan Den Haese, Luca Cannas, Anton Ginzburg, Louis Pitet, Bart Van der Bruggen, Alexandr Zubov   +6 more
wiley   +1 more source

Decoding α‐MoC1−x Nanoparticle Formation in Continuous Flow via Machine Learning

Small, EarlyView.
Formation pathway of α‐MoC1−x nanoparticles synthesized from oleylamine‐Mo(CO)6 precursor under mild continuous‐flow conditions was investigated. By combining in‐line spectroscopic monitoring with a machine learning (ML) framework capable of deconvoluting complex, overlapping spectral features, we reveal mechanistic details of early‐transition‐metal ...
Bin Pan, Allison P. Forsberg, Ricki Chairil, Majed S. Madani, Susan E. Habas, Frederick G. Baddour, Richard L. Brutchey, Noah Malmstadt   +7 more
wiley   +1 more source

Analysis of a geometrical multiscale blood flow model based on the coupling of ODE's and hyperbolic PDE's

, 2004
International audienceFor the numerical simulation of the circulatory system, geometrical multiscale models based on the coupling of systems of differential equations with different spatial dimensions are becoming common practice [L.
Quarteroni, Alfio, QUARTERONI, ALFIO MARIA, M. A. FERNANDEZ, V. MILISIC, Fernández, Miguel Angel, Milisic, Vuk   +5 more
core   +1 more source