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

Karsten Urban; Anthony T. Patera

doi:10.1016/j.crma.2012.01.026

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 ◽

Cited By ~ 25

Author(s):

Karsten Urban ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Bound ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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

10.21236/ada557547 ◽

2012 ◽

Cited By ~ 1

Author(s):

Karsten Urban ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Bound ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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 ◽

Cited By ~ 194

Author(s):

Martin A. Grepl ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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 ◽

Cited By ~ 9

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 ◽

Basis Method

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 ◽

Cited By ~ 2

Author(s):

H. Jarausch

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Parabolic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential

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 ◽

Cited By ~ 4

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

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 ◽

Basis Method

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 ◽

Cited By ~ 38

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 ◽

Basis Method

ON NON-CONDITIONAL STABILITY OF OPEN DIFFERENCE PATTERNS FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

Demonstratio Mathematica ◽

10.2478/dema-1989-0110 ◽

1989 ◽

Vol 22 (1) ◽

pp. 85-100

Author(s):

Vu Van Hung

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Conditional Stability ◽

Partial Differential

Adaptive Finite Element Methods for Parabolic Partial Differential Equations.

10.21236/ada131824 ◽

1983 ◽

Cited By ~ 2

Author(s):

Joseph E. Flaherty ◽

J. Michael Coyle ◽

Raymond Ludwig ◽

Stephen F. Davis

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Parabolic Partial Differential Equations ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Partial Differential

The Continuous Classical Optimal Control for a Coupled Nonlinear Parabolic Partial Differential Equations with Equality and Inequality Constraints

Journal of Al-Nahrain University-Science ◽

10.22401/jnus.19.1.20 ◽

2016 ◽

Vol 19 (1) ◽

pp. 173-186 ◽

Cited By ~ 1

Author(s):

Jamil A. Ali Al-Hawasy ◽

◽

Ghufran M. Kadhem ◽

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Differential Equations ◽

Inequality Constraints ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Nonlinear Parabolic ◽

Equality And Inequality Constraints