Results 241 to 250 of about 2,673,893 (279)

Promising directions of machine learning for partial differential equations

Nature Computational Science
Partial differential equations (PDEs) are among the most universal and parsimonious descriptions of natural physical laws, capturing a rich variety of phenomenology and multiscale physics in a compact and symbolic representation. Here, we examine several promising avenues of PDE research that are being advanced by machine learning, including (1 ...
Steven L. Brunton, J. Nathan Kutz
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Alternating Direction Collocation for Separable Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis, 1991
Les A. exposent une méthode de résolution d'équations aux dérivées partielles linéaires elliptiques: l'``Alternating Direction Collocation'' (ADC) sur un domaine rectangulaire. Des exemples numériques sont donnés.
Cooper, K. D., Prenter, P. M.
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Direct computation of Hopf bifurcation points in differential-algebraic equations

Computers & Chemical Engineering, 2019
Abstract In this work, we address the bifurcation theory for differential-algebraic equations (DAEs). Our main subject is the direct computation of Hopf bifurcation points, for which we present a novel methodology. In order to achieve this goal, the theory of ordinary differential equations (ODEs) was extended to formulate a concise stability ...
Ataide Souza Andrade Neto, Argimiro R. Secchi, Príamo Albuquerque Melo   +2 more
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Sensitivity analysis of ordinary differential equation systems—A direct method

Journal of Computational Physics, 1976
Given a system of time dependent ordinary differential equations, dotyi = fi(c1, c2, …, y1, y2, …, t), where ck are rate parameters, we simultaneously solve for both yi and a set of sensitivity functions, ϱyiϱck, over all times t. These partial derivatives measure the sensitivity of the solution with respect to changes in the parameters ck. Often these
Dickinson, Robert P., Gelinas, Robert J.
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On the Intersection of Borel Directions and Julia Limiting Directions of the Solutions to Complex Differential Equations

Mediterranean Journal of Mathematics
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Zhang, Guowei, Yang, Lianzhong
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The direct and inverse problems for a differential-difference diffusion equation

Differential Equations, 2006
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A direct method for exact discretization of ordinary differential equations

The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04., 2004
Differential equations are frequently used to analyze and design analog circuits and numerically solved from computation of difference equations. The equivalent difference equations are obtained by using the solutions or the Laplace transform of the corresponding differential equations for exact discretization.
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On some direct and inverse problems for an integro-differential equation

Zeitschrift für angewandte Mathematik und Physik
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Ilyas, Asim, Iqbal, Zainab, Malik, Salman A.   +2 more
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Order-Optimal Direct Method for Solving Singular Integro-Differential Equations

Differential Equations
A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, special generalized version of spline method are proposed and justified. The optimality in the order of accuracy of the method constructed is established.
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DIRECT METHODS TO SOLVE DIFFERENTIAL EQUATIONS

2023
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