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CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 7 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...
SIAMJO
2008
81views more  SIAMJO 2008»
13 years 5 months ago
A First-Order Convergence Analysis of Trust-Region Methods with Inexact Jacobians
A class of trust-region algorithms is developed and analyzed for the solution of minimization problems with nonlinear inequality constraints. Based on composite-step trust region ...
Andrea Walther
SDM
2007
SIAM
106views Data Mining» more  SDM 2007»
13 years 8 months ago
Approximating Representations for Large Numerical Databases
The paper introduces a notion of support for realvalued functions. It is shown how to approximate supports of a large class of functions based on supports of so called polynomial ...
Szymon Jaroszewicz, Marcin Korzen
MCS
2008
Springer
13 years 7 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
ICINCO
2004
153views Robotics» more  ICINCO 2004»
13 years 8 months ago
Iterative Linear Quadratic Regulator Design for Nonlinear Biological Movement Systems
This paper presents an Iterative Linear Quadratic Regulator (ILQR) method for locally-optimal feedback control of nonlinear dynamical systems. The method is applied to a musculo-s...
Weiwei Li, Emanuel Todorov