Results 231 to 240 of about 327,222 (277)

FOSLL* for Nonlinear Partial Differential Equations

SIAM Journal on Scientific Computing, 2015
Summary: In previous work, the first-order system LL* (FOSLL*) method was developed for linear partial differential equations. This approach seeks to minimize the residual of the equations in a dual norm induced by the differential operator, yielding approximations accurate in \(L^2(\Omega)\) rather than \(H^1(\Omega)\) or \(H(\mathrm{Div})\).
Lee, Eunjung, Manteuffel, Thomas A., Westphal, Chad R.   +2 more
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Software for Nonlinear Partial Differential Equations

ACM Transactions on Mathematical Software, 1975
The numerical solution of physically realistic nonlinear partial differential equations (PDEs) is a complicated and highly problem-dependent process which usually requires the scientist to undertake the difficult and time-consuming task of developing his own computer program to solve his problem.
Sincovec, Richard F., Madsen, Niel K.
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C-integrable nonlinear partial differential equations. III

Journal of Mathematical Physics, 1991
A technique based on a change of dependent variables, used in a previous paper to generate C-integrable nonlinear partial differential equations (PDEs) (i.e., nonlinear PDEs linearizable by an appropriate Change of variables) in 1+1 dimensions (one time and one space variables), is extended to the case of more than one space dimension. Several examples
CALOGERO, Francesco, XIAODA JI
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Attractors of Hamiltonian Nonlinear Partial Differential Equations

2021
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits.
Komech, Alexander, Kopylova, Elena
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Local solvability for nonlinear partial differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semi-linear operator F(u) = P(D)u + f(x, Q 1(D)u, .., Q M(D)u) where P, Q 1, .., Q M are linear ...
F. MESSINA, RODINO, Luigi Giacomo
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Nonlinear Partial Differential Equations

2004
In the previous chapters, we discussed the solution of linear partial differential equations. Special focus was given to the solution of internal heat transfer problems in duct flows. However, in most technical applications, problems are often described by nonlinear partial differential equations.
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Critical Nonlinearities in Partial Differential Equations

Milan Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON HOMOGENEOUS SPACES

International Journal of Modern Physics A, 1990
The work of A.K.N.S. which is based on the sl(2, R) valued soliton connection is extended to obtain new integrable coupled nonlinear partial differential equations. This is achieved by assuming the soliton connection having values in a simple Lie, Kac-Moody, Lie superalgebras.
GURSES, M, OGUZ, O, SALIHOGLU, S
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CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Mathematical Models and Methods in Applied Sciences, 2011
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BELLOMO, Nicola, Málek J.
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Generalized symmetries of nonlinear partial differential equations

Letters in Mathematical Physics, 1979
We propose a rigorous definition of the generalized infinitesimal symmetries using the notion of k-vector fields, and we derive an algorithm for their determination. We show that Backlund transformations between evolution equations are differential operators having prescribed symmetries.
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