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71
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AMC
2006
87views more  AMC 2006»
14 years 10 months ago
Numerical solution of a non-classical parabolic problem: An integro-differential approach
A numerical method based on an integro-differential formulation and approximation by local interpolating functions is proposed for solving a one-dimensional parabolic partial diff...
Whye-Teong Ang
MOC
2000
109views more  MOC 2000»
14 years 10 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi
106
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SIAMSC
2008
179views more  SIAMSC 2008»
14 years 10 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