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SIAMJO
2010
87views more  SIAMJO 2010»
14 years 8 months ago
A Second Derivative SQP Method: Global Convergence
Abstract. Sequential quadratic programming (SQP) methods form a class of highly efficient algorithms for solving nonlinearly constrained optimization problems. Although second deri...
Nicholas I. M. Gould, Daniel P. Robinson
SIAMSC
2010
119views more  SIAMSC 2010»
14 years 8 months ago
An Entropy Adjoint Approach to Mesh Refinement
This work presents a mesh refinement indicator based on entropy variables, with an application to the compressible Navier-Stokes equations. The entropy variables are shown to sati...
Krzysztof J. Fidkowski, Philip L. Roe
SIAMSC
2010
132views more  SIAMSC 2010»
14 years 8 months ago
New Algorithms for Optimal Online Checkpointing
Frequently, the computation of derivatives for optimizing time-dependent problems is based on the integration of the adjoint differential equation. For this purpose, the knowledge...
Philipp Stumm, Andrea Walther
SIAMSC
2010
117views more  SIAMSC 2010»
14 years 8 months ago
Least-Squares Finite Element Methods for Quantum Electrodynamics
A significant amount of the computational time in large Monte Carlo simulations of lattice field theory is spent inverting the discrete Dirac operator. Unfortunately, traditional...
James J. Brannick, C. Ketelsen, Thomas A. Manteuff...
SIAMSC
2010
104views more  SIAMSC 2010»
14 years 8 months ago
A New Sobolev Gradient Method for Direct Minimization of the Gross--Pitaevskii Energy with Rotation
Abstract. In this paper we improve traditional steepest descent methods for the direct minimization of the Gross-Pitaevskii (GP) energy with rotation at two levels. We first defi...
Ionut Danaila, Parimah Kazemi