Stable explicit difference approximations to parabolic partial differential equations

Shean-Lin Liu

doi:10.1002/aic.690150308

Stable explicit difference approximations to parabolic partial differential equations

AIChE Journal ◽

10.1002/aic.690150308 ◽

1969 ◽

Vol 15 (3) ◽

pp. 334-338 ◽

Cited By ~ 29

Author(s):

Shean-Lin Liu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Difference Approximations

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Accurate finite difference approximations for the solution of parabolic partial differential equations by semi-discretization

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620231213 ◽

1986 ◽

Vol 23 (12) ◽

pp. 2325-2346 ◽

Cited By ~ 7

Author(s):

E. Huntley

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Finite Difference Approximations ◽

Difference Approximations

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Uniform Error Estimates for Difference Approximations to NonLinear Pseudo-Parabolic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0711016 ◽

1974 ◽

Vol 11 (1) ◽

pp. 155-169 ◽

Cited By ~ 19

Author(s):

William H. Ford ◽

T. W. Ting

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Uniform Error ◽

Difference Approximations ◽

Uniform Error Estimates

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Stability and convergence of difference approximations to pseudo-parabolic partial differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-1973-0366052-4 ◽

1973 ◽

Vol 27 (124) ◽

pp. 737-737 ◽

Cited By ~ 8

Author(s):

William H. Ford ◽

T. W. Ting

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stability And Convergence ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Difference Approximations

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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

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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

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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

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Global boundary feedback stabilization for a class of pseudo-parabolic partial differential equations

2013 American Control Conference ◽

10.1109/acc.2013.6580715 ◽

2013 ◽

Cited By ~ 1

Author(s):

Agus Hasan ◽

Ole Morten Aamo ◽

Bjarne Foss

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Feedback Stabilization ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Boundary Feedback

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Design of worst spatial distribution of disturbances for a class of parabolic partial differential equations

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470583 ◽

2005 ◽

Cited By ~ 5

Author(s):

M.A. Demetriou ◽

J. Borggaard

Keyword(s):

Spatial Distribution ◽

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations

Studies in Applied Mathematics ◽

10.1002/sapm1973523189 ◽

1973 ◽

Vol 52 (3) ◽

pp. 189-211 ◽

Cited By ~ 198

Author(s):

David L. Russell

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Boundary Controllability

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Analytical Aspect of Fourth-Order Parabolic Partial Differential Equations with Variable Coefficients

Mathematical and Computational Applications ◽

10.3390/mca15030481 ◽

2010 ◽

Vol 15 (3) ◽

pp. 481-489 ◽

Cited By ~ 5

Author(s):

Najeeb Khan ◽

Asmat Ara ◽

Muhammad Afzal ◽

Azam Khan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fourth Order ◽

Variable Coefficients ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Analytical Aspect

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