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Publication:3630602
zbMath1165.65373MaRDI QIDQ3630602
Publication date: 4 June 2009
Full work available at URL: https://eudml.org/doc/130366
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differential algebraic equationssteepest descentnon-linear least squaresconsistent initial conditionsweighted Sobolev gradients
Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)
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Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey ⋮ Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element setting ⋮ Numerical approximation of time evolution related to Ginzburg-Landau functionals using weighted Sobolev gradients ⋮ A link between the steepest descent method and fixed-point iterations ⋮ Numerical solution of Burgers equation by the Sobolev gradient method ⋮ Numerical solutions of singularly perturbed reaction diffusion equation with Sobolev gradients ⋮ Least-squares collocation for linear higher-index differential-algebraic equations ⋮ Approximate solutions to Poisson-Boltzmann systems with Sobolev gradients ⋮ Application of Sobolev gradient method to Poisson-Boltzmann system ⋮ Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities
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