Results 291 to 300 of about 173,975,381 (346)

WG-IDENT: Weak Group Identification of PDEs with Varying Coefficients

Journal of Computational Physics
The identification of Partial Differential Equations (PDEs) has emerged as a prominent data-driven approach for mathematical modeling and has attracted considerable attention in recent years.
Cheng Tang, Roy Y. He, Hao Liu
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ODE/PDE analysis of corneal curvature

Computers in Biology and Medicine, 2014
The starting point for this paper is a nonlinear, two-point boundary value ordinary differential equation (BVODE) that defines corneal curvature according to a static force balance. A numerical solution to the BVODE is computed by first converting the BVODE to a parabolic partial differential equation (PDE) by adding an initial value (t, pseudo-time ...
Lukasz Plociniczak, Graham W. Griffiths, William E. Schiesser   +2 more
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An algorithmic method in Painleve analysis of PDE

Computer Physics Communications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xie, Fuding, Chen, Yong
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Clifford Analysis Techniques for Spherical PDE

Journal of Fourier Analysis and Applications, 2002
The present paper investigates \(\alpha\)-order spherical harmonic functions on a sphere with respect to the spherical Laplace-Beltrami operator of order \(\alpha\), i.e. LB + a suitable constant term depending on \(\alpha\). The authors obtain explicit Green-type integral formulae in terms of Gegenbauer functions.
Liu, Hong, Ryan, John
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Isogeometric analysis for phase-field models of geometric PDEs and high-order PDEs on stationary and evolving surfaces

Computer Methods in Applied Mechanics and Engineering, 2019
In this paper, we present an isogeometric analysis (IGA) for phase-field models of three different yet closely related classes of partial differential equations (PDEs): geometric PDEs, high-order PDEs on stationary surfaces, and high-order PDEs on ...
N. Valizadeh, T. Rabczuk
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Analysis of Hamiltonian PDEs

2000
Abstract For the last 20–30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs.
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Guided Diffusion Sampling on Function Spaces with Applications to PDEs

Neural Information Processing Systems
We propose a general framework for conditional sampling in PDE-based inverse problems, targeting the recovery of whole solutions from extremely sparse or noisy measurements.
Jia-Chen Yao, Abbas Mammadov, Julius Berner, Gavin Kerrigan, J. Ye, K. Azizzadenesheli, Anima Anandkumar   +6 more
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Analysis of unsteady MHD fluid flow across two parallel discs with uniform fluctuation subject to modified Hall and activation energy

International Journal of Modern Physics B
This study intends to examine the consequences of the externally applied magnetic field and modified Hall effect on nanofluid flow across two symmetrically spinning and extending discs, where continuously the upper disc moves upward and downward.
Bilal Ali, Sidra Jubair, Zafar Mahmood, Nisar Ahmad Koka, A. Gani   +4 more
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Real Analysis, Harmonic Analysis and Applications to PDE

Oberwolfach Reports, 2006
Major areas and results represented at the workshop are: I. Methods in harmonic analysis (a) Multilinear analysis: this is an outgrowth of the method of “tile decomposition” which has been so successful in solving the problems of the bilinear Hilbert transform.
Detlef Müller, Elias M. Stein
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Computational convection analysis of second grade MHD nanofluid flow through porous medium across a stretching surface

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Nanofluids significantly influence modern life due to their vast usages in the modern era. Transport analysis of non‐Newtonian fluids with nanoparticles (carbon nanotubes) over a stretching surface is the primary focus of the present investigation ...
U. Farooq, Muhammad Irfan, Shaheer Khalid, Ahmed Jan, Muzamil Hussain   +4 more
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