Collocation methods for parabolic partial differential equations in one space dimension

John H. Cerutti; Seymour V. Parter

doi:10.1007/bf01395944

Collocation methods for parabolic partial differential equations in one space dimension

Numerische Mathematik ◽

10.1007/bf01395944 ◽

1976 ◽

Vol 26 (3) ◽

pp. 227-254 ◽

Cited By ~ 31

Author(s):

John H. Cerutti ◽

Seymour V. Parter

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Space Dimension ◽

Collocation Methods ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

One Space Dimension

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A fully adaptive algorithm for parabolic partial differential equations in one space dimension

Computers & Chemical Engineering ◽

10.1016/0098-1354(95)00207-3 ◽

1996 ◽

Vol 20 (5) ◽

pp. 547-561 ◽

Cited By ~ 37

Author(s):

U. Nowak ◽

J. Frauhammer ◽

U. Nieken

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Adaptive Algorithm ◽

Space Dimension ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Fully Adaptive ◽

One Space Dimension

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An automatic technique for solving coupled vector systems of non-linear parabolic partial differential equations in one space dimension

Planetary and Space Science ◽

10.1016/0032-0633(77)90132-5 ◽

1977 ◽

Vol 25 (3) ◽

pp. 209-215 ◽

Cited By ~ 39

Author(s):

J.T. Hastings ◽

R.G. Roble

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Space Dimension ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Vector Systems ◽

Non Linear ◽

Automatic Technique ◽

One Space Dimension

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Identification problems for quasilinear first-order partial differential equations in one space dimension and applications

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.2011.031 ◽

2011 ◽

Vol 19 (2) ◽

Author(s):

Alfredo Lorenzi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Space Dimension ◽

Identification Problems ◽

Partial Differential ◽

First Order ◽

One Space Dimension

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Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0203 ◽

2012 ◽

Vol 20 (1) ◽

Cited By ~ 1

Author(s):

Alfredo Lorenzi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Banach Spaces ◽

Space Dimension ◽

Identification Problems ◽

Partial Differential ◽

First Order ◽

One Space Dimension

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Some user-oriented comparisons of adaptive grid methods for partial differential equations in one space dimension

Applied Numerical Mathematics ◽

10.1016/s0168-9274(97)00080-9 ◽

1998 ◽

Vol 26 (1-2) ◽

pp. 49-62 ◽

Cited By ~ 12

Author(s):

A. Vande Wouwer ◽

P. Saucez ◽

W.E. Schiesser

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Space Dimension ◽

Adaptive Grid ◽

Partial Differential ◽

One Space Dimension

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Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2016.12.011 ◽

2017 ◽

Vol 68 ◽

pp. 13-19 ◽

Cited By ~ 20

Author(s):

Wei-Hua Luo ◽

Ting-Zhu Huang ◽

Xian-Ming Gu ◽

Yi Liu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Nonlinear Parabolic

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Dynamic rezone methods for partial differential equations in one space dimension

Applied Numerical Mathematics ◽

10.1016/0168-9274(89)90042-1 ◽

1989 ◽

Vol 5 (5) ◽

pp. 435-450 ◽

Cited By ~ 7

Author(s):

James M. Hyman ◽

Bernard Larrouturou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Space Dimension ◽

Partial Differential ◽

One Space Dimension

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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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