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SIAMSC
2008
245views more  SIAMSC 2008»
13 years 4 months ago
A Globally Convergent Numerical Method for a Coefficient Inverse Problem
A survey of recent results of the authors is presented. This survey is short due to space limitations. A Coefficient Inverse Problem for a hyperbolic PDE with backscattering data ...
Larisa Beilina, Michael V. Klibanov
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 4 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
JSCIC
2010
178views more  JSCIC 2010»
12 years 11 months ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
AMC
2005
150views more  AMC 2005»
13 years 4 months ago
High order fitted operator numerical method for self-adjoint singular perturbation problems
We consider self-adjoint singularly perturbed two-point boundary value problems in conservation form. Highest possible order of uniform convergence for such problems achieved hith...
Kailash C. Patidar
SIAMJO
2010
137views more  SIAMJO 2010»
13 years 2 months ago
Global Convergence of a New Hybrid Gauss--Newton Structured BFGS Method for Nonlinear Least Squares Problems
In this paper, we propose a hybrid Gauss-Newton structured BFGS method with a new update formula and a new switch criterion for the iterative matrix to solve nonlinear least square...
Weijun Zhou, Xiaojun Chen