Linearization Procedure of Nonlinear First Order System of Partial Differential Equations by Means of Canonical Variables Related to Lie Groups of Point Transformations

Differential Equations ◽

Lie Groups ◽

Order System ◽

Partial Differential ◽

First Order ◽

Canonical Variables ◽

Point Transformations

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

10.1137/140971890 ◽

2015 ◽

Vol 53 (1) ◽

pp. 405-420 ◽

Cited By ~ 3

Author(s):

Zhiqiang Cai ◽

Rob Falgout ◽

Shun Zhang

Keyword(s):

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order System ◽

Partial Differential ◽

Extrapolation applied to the method of characteristics for a first order system of two partial differential equations

Numerische Mathematik ◽

10.1007/bf01397373 ◽

1975 ◽

Vol 24 (4) ◽

pp. 331-353 ◽

Cited By ~ 6

Author(s):

W. Busch ◽

R. Esser ◽

W. Hackbusch ◽

U. Herrmann

Keyword(s):

Differential Equations ◽

Method Of Characteristics ◽

Order System ◽

Partial Differential ◽

First Order ◽

The Method Of Characteristics

Smoothness and analyticity for solutions of first order systems of partial differential equations on nilpotent Lie groups

Inventiones mathematicae ◽

10.1007/bf01389051 ◽

1985 ◽

Vol 81 (2) ◽

pp. 205-216 ◽

Cited By ~ 1

Author(s):

Lawrence Corwin ◽

Bernard Helffer ◽

Linda Preiss Rothschild

Keyword(s):

Differential Equations ◽

Lie Groups ◽

Nilpotent Lie Groups ◽

Partial Differential ◽

First-Order System $\CL\CL^$ (FOSLL): Scalar Elliptic Partial Differential Equations

10.1137/s0036142900388049 ◽

2001 ◽

Vol 39 (4) ◽

pp. 1418-1445 ◽

Cited By ~ 30

Author(s):

Z. Cai ◽

T. A. Manteuffel ◽

S. F. McCormick ◽

J. Ruge

Keyword(s):

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Order System ◽

Partial Differential ◽

First-Order System Least Squares for Second-Order Partial Differential Equations: Part II

10.1137/s0036142994266066 ◽

1997 ◽

Vol 34 (2) ◽

pp. 425-454 ◽

Cited By ~ 152

Author(s):

Zhiqiang Cai ◽

Thomas A. Manteuffel ◽

Stephen F. McCormick

Keyword(s):

Differential Equations ◽

Least Squares ◽

Second Order ◽

Order System ◽

Partial Differential ◽

Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations

10.1137/s0036142902404406 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2197-2209 ◽

Cited By ~ 26

Author(s):

A. L. Codd ◽

T. A. Manteuffel ◽

S. F. McCormick

Keyword(s):

Differential Equations ◽

Least Squares ◽

Elliptic Partial Differential Equations ◽

Order System ◽

Partial Differential ◽

First Order ◽

Nonlinear Elliptic

First-Order System Least Squares for Second-Order Partial Differential Equations: Part I

10.1137/0731091 ◽

1994 ◽

Vol 31 (6) ◽

pp. 1785-1799 ◽

Cited By ~ 228

Author(s):

Z. Cai ◽

R. Lazarov ◽

T. A. Manteuffel ◽

S. F. McCormick

Keyword(s):

Differential Equations ◽

Least Squares ◽

Second Order ◽

Order System ◽

Partial Differential ◽

Proceedings of the Fourth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18–22 August 1993 ◽

Formation of Shocks for Nonlinear Partial Differential Equations of First Order

10.1515/9783112318874-022 ◽

1994 ◽

pp. 199-204

Keyword(s):

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Partial Differential ◽

Block-pulse series solution of simultaneous first-order partial differential equations

International Journal of Systems Science ◽

10.1080/00207728508926776 ◽

1985 ◽

Vol 16 (12) ◽

pp. 1573-1580 ◽

Cited By ~ 1

Author(s):

MING-HWEI PERNG ◽

WEN-LIANG CHEN

Keyword(s):

Differential Equations ◽

Series Solution ◽

Partial Differential ◽

Entire solutions of first-order nonlinear partial differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-97-03881-1 ◽

1997 ◽

Vol 125 (5) ◽

pp. 1483-1485 ◽

Cited By ~ 14

Author(s):

Jill E. Hemmati

Keyword(s):

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Entire Solutions ◽

Partial Differential ◽