Results 281 to 290 of about 441,203 (334)
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1988
For reasonable shapes {α} described by a set of dimensionless deformation parameters the liquid drop deformation energy BDef exhibits a barrier for each value of the fissility x, cf. Eq. (1.75), for instance the configuration of two tangent spheres for x = 0 and a single sphere for x = 1. The deformation energy at the saddle deformation {\( \hat \alpha
Rainer W. Hasse, William D. Myers
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For reasonable shapes {α} described by a set of dimensionless deformation parameters the liquid drop deformation energy BDef exhibits a barrier for each value of the fissility x, cf. Eq. (1.75), for instance the configuration of two tangent spheres for x = 0 and a single sphere for x = 1. The deformation energy at the saddle deformation {\( \hat \alpha
Rainer W. Hasse, William D. Myers
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2020
This chapter is devoted to the solution of saddle point problems that can be written in the abstract form $$\displaystyle \begin {cases} Au+B^{T}\lambda =F\\ Bu=G \end {cases} $$ for some linear operators A and B, λ having the role of a Lagrangian multiplier associated to the constraint Bu = G.
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This chapter is devoted to the solution of saddle point problems that can be written in the abstract form $$\displaystyle \begin {cases} Au+B^{T}\lambda =F\\ Bu=G \end {cases} $$ for some linear operators A and B, λ having the role of a Lagrangian multiplier associated to the constraint Bu = G.
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1970
The classical instances of saddle point theorems are the minimax theorems of v. Neumann [1] (6.1.1) and Kakutani [3]. Since then the saddle point concept has been found to apply in a much larger context. It is also a natural and rich source for duality theorems.
Josef Stoer, Christoph Witzgall
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The classical instances of saddle point theorems are the minimax theorems of v. Neumann [1] (6.1.1) and Kakutani [3]. Since then the saddle point concept has been found to apply in a much larger context. It is also a natural and rich source for duality theorems.
Josef Stoer, Christoph Witzgall
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SADDLE POINTS OF PARABOLIC POLYNOMIALS
Mathematics of the USSR-Sbornik, 1974Let G(t, x) be the Green's function of a parabolic differential operator ∂/∂t + P(- i∂/∂x). In a previous article of the authors (Math. USSR Sb. 20 (1973), 519-542) estimates for G are obtained by means of a convex function νp invariantly defined by P, and the saddle points are distinguished under the assumption that νp is smooth.
Gindikin, S. G., Fedorjuk, M. V.
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2016
Standard numerical methods fail to provide accurate approximations when partial differential equations involve constraints defined by a differential operator or when they contain terms weighted by a larger parameter. Generalizations of the Lax–Milgram and Cea lemmas provide a concise framework for the development and analysis of appropriate numerical ...
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Standard numerical methods fail to provide accurate approximations when partial differential equations involve constraints defined by a differential operator or when they contain terms weighted by a larger parameter. Generalizations of the Lax–Milgram and Cea lemmas provide a concise framework for the development and analysis of appropriate numerical ...
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Nonlinear Analysis: Theory, Methods & Applications, 2005
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Saddle Points Under Discretisation
2017Saddle points for Euler schemes for ODEs are discussed. Numerical stable and unstable manifolds are illustrated through a set of examples, and compared to the stable and unstable manifolds of the ODEs. The shadowing phenomenon is briefly illustrated. Finally, Beyn’s Theorem is presented.
Xiaoying Han, Peter Kloeden
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1991
The theorems in [7] dealing with classes 1A, 2A and 2B do not depend on the strategy sets being disjoint, and include all Silverman games where at least one player has an optimal pure strategy, except the symmetric 1 by 1 case: THEOREM 2.1. In the symmetric Silverman game (S,T,ν), suppose that there is an element c in S such that c < Tci for all ...
Gerald A. Heuer +1 more
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The theorems in [7] dealing with classes 1A, 2A and 2B do not depend on the strategy sets being disjoint, and include all Silverman games where at least one player has an optimal pure strategy, except the symmetric 1 by 1 case: THEOREM 2.1. In the symmetric Silverman game (S,T,ν), suppose that there is an element c in S such that c < Tci for all ...
Gerald A. Heuer +1 more
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Note on ε-saddle point and saddle point theorems
Acta Mathematica Hungarica, 1994K. -K. Tan, J. Yu, X. -Z. Yuan
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Well-posed saddle point problems
2005Summary: We provide a new well-posedness concept for saddle-point problems. We characterize it by means of the behavior of the sublevel sets of an associated function. We then study the concave-convex case in Euclidean spaces. Applying these results in the setting of convex programming, we get a result on the convergence of the pair solution-Lagrange ...
CAPRARI E., LUCCHETTI, ROBERTO
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