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Coupling techniques of Trefftz methods
Computer Assisted Methods in Engineering and Science, 2022 The Trefftz method pioneered by Trefftz [71] in 1926 is described as follows: The particular solutions or the fundamental solutions are chosen, a linear combination of those functions is regarded as an approximate solution of partial differential ...
Hung-Tsai Huang +2 more
doaj
Approximate symmetries of the perturbed KdV-KS equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe analysis of approximate symmetries in perturbed nonlinear partial differential equations $(PDEs)$ stands as a cornerstone for unraveling complex physical behaviors and solution patterns.
A. Mohammadpouri +3 more
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The pseudo-compartment method for coupling PDE and compartment-based models of diffusion [PDF]
, 2015 Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature implements systems of partial differential equations (PDEs), which assumes ...
Flegg, Mark B., Yates, Christian A.
core +4 more sources
Expanding Genomics of Mycorrhizal Symbiosis
Frontiers in Microbiology, 2014 The mycorrhizal symbiosis between soil fungi and plant roots is a ubiquitous mutualism that plays key roles in plant and soil health, and carbon and nutrient cycles. The symbiosis evolved repeatedly and independently as multiple morphological types (e.g.
Alan eKuo +3 more
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Selecciones MatemáticasCalculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial ...
Delphin Mwinken
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The calculation of expectations for classes of diffusion processes by Lie symmetry methods [PDF]
, 2009 This paper uses Lie symmetry methods to calculate certain expectations for a large class of It\^{o} diffusions. We show that if the problem has sufficient symmetry, then the problem of computing functionals of the form $E_x(e^{-\lambda X_t-\int_0^tg(X_s)
Craddock, Mark, Lennox, Kelly A.
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Fundamental Solutions of PDEs as Radial Basis Functions in Multivariate Interpolation
Computational Methods in Applied Mathematics, 2007 AbstractFor bivariate and trivariate interpolation we propose in this paper a set of integrable radial basis functions (RBFs). These RBFs are found as fundamental solutions of appropriate PDEs and they are optimal in a special sense. The condition number of the interpolation matrices as well as the order of convergence of the inter- polation are ...
openaire +2 more sources
, 2020 We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G. Perelman's functionals and related entropic values are
Bubuianu, Laurenţiu +2 more
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Dispersionless integrable systems in 3D and Einstein-Weyl geometry [PDF]
, 2013 For several classes of second order dispersionless PDEs, we show that the symbols of their formal linearizations define conformal structures which must be Einstein-Weyl in 3D (or self-dual in 4D) if and only if the PDE is integrable by the method of ...
Ferapontov, Eugene, Kruglikov, Boris
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source