Analyzing stationary and periodic solutions of systems of parabolic partial differential equations by using singular subspaces as reduced basis

Mathematical and Computer Modelling ◽

10.1016/0895-7177(94)90171-6 ◽

1994 ◽

Vol 20 (10-11) ◽

pp. 69-87 ◽

Author(s):

H. Jarausch

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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Continuation of Periodic Solutions in Parabolic Partial Differential Equations

Bifurcation: Analysis, Algorithms, Applications ◽

10.1007/978-3-0348-7241-6_13 ◽

1987 ◽

pp. 122-130 ◽

Author(s):

Martin Holodniok ◽

P. Knedlík ◽

M. Kubíček

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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Periodic Solutions for certain Non-Linear Parabolic Partial Differential Equations

Industrial Electromagnetics Modelling ◽

10.1007/978-94-009-6917-9_8 ◽

1983 ◽

pp. 89-99

Author(s):

G. Gregory

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

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A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005006 ◽

2005 ◽

Vol 39 (1) ◽

pp. 157-181 ◽

Author(s):

Martin A. Grepl ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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A New Error Bound for Reduced Basis Approximation of Parabolic Partial Differential Equations

10.21236/ada557547 ◽

2012 ◽

Author(s):

Karsten Urban ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Bound ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ◽

10.1007/978-3-642-15337-2_15 ◽

2010 ◽

pp. 179-187 ◽

Author(s):

Jens L. Eftang ◽

Anthony T. Patera ◽

Einar M. Rønquist

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis Method ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

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A new error bound for reduced basis approximation of parabolic partial differential equations

Comptes Rendus Mathematique ◽

10.1016/j.crma.2012.01.026 ◽

2012 ◽

Vol 350 (3-4) ◽

pp. 203-207 ◽

Author(s):

Karsten Urban ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Bound ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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Efficient Parallel Computation of Periodic Solutions of Parabolic Partial Differential Equations

Bifurcation and Chaos: Analysis, Algorithms, Applications ◽

10.1007/978-3-0348-7004-7_40 ◽

1991 ◽

pp. 307-317 ◽

Author(s):

Dirk Roose ◽

Stefan Vandewalle

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Parallel Computation ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.10.010 ◽

2012 ◽

Vol 209-212 ◽

pp. 144-155 ◽

Author(s):

Dirk Klindworth ◽

Martin A. Grepl ◽

Georg Vossen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Source Terms ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods

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A reduced basis method for parabolic partial differential equations with parameter functions and application to option pricing

The Journal of Computational Finance ◽

10.21314/jcf.2016.323 ◽

2016 ◽

Author(s):

Antonia Mayerhofer ◽

Karsten Urban

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Option Pricing ◽

Reduced Basis Method ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

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Anhpcertified reduced basis method for parametrized parabolic partial differential equations

Mathematical and Computer Modelling of Dynamical Systems ◽

10.1080/13873954.2011.547670 ◽

2011 ◽

Vol 17 (4) ◽

pp. 395-422 ◽

Author(s):

Jens L. Eftang ◽

David J. Knezevic ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis Method ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

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