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SIAMSC
2008
99views more  SIAMSC 2008»
13 years 11 months ago
Monte Carlo Greeks for Financial Products via Approximative Transition Densities
In this paper we introduce efficient Monte Carlo estimators for the valuation of high-dimensional derivatives and their sensitivities ("Greeks"). These estimators are ba...
Jörg Kampen, Anastasia Kolodko, John Schoenma...
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 11 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
SIAMSC
2008
104views more  SIAMSC 2008»
13 years 11 months ago
Reducing Floating Point Error in Dot Product Using the Superblock Family of Algorithms
This paper discusses both the theoretical and statistical errors obtained by various well-known dot products, from the canonical to pairwise algorithms, and introduces a new and mo...
Anthony M. Castaldo, R. Clint Whaley, Anthony T. C...
SIAMSC
2008
168views more  SIAMSC 2008»
13 years 11 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
SIAMSC
2008
116views more  SIAMSC 2008»
13 years 11 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
SIAMSC
2008
131views more  SIAMSC 2008»
13 years 11 months ago
Gramian-Based Model Reduction for Data-Sparse Systems
Model order reduction (MOR) is common in simulation, control and optimization of complex dynamical systems arising in modeling of physical processes and in the spatial discretizati...
Ulrike Baur, Peter Benner
SIAMSC
2008
114views more  SIAMSC 2008»
13 years 11 months ago
Inertia-Revealing Preconditioning For Large-Scale Nonconvex Constrained Optimization
Olaf Schenk, Andreas Wächter, Martin Weiser
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 11 months ago
New Finite Elements for Large-Scale Simulation of Optical Waves
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Britta Heubeck, Christoph Pflaum, Gunther Steinle
SIAMSC
2008
107views more  SIAMSC 2008»
13 years 11 months ago
A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians
In this paper, we propose a new phase flow method for Hamiltonian systems with discontinuous Hamiltonians. In the original phase-flow method introduced by Ying and Cand`es [26], t...
Shi Jin, Hao Wu, Zhongyi Huang