Conversion linear partial differential operators with constant coefficients to canonical form
by Aleksas Domarkas
Vilnius University, Faculty of Mathematics and Informatics,
Naugarduko 24, Vilnius, Lithuania
aleksas@ieva.mif.vu.lt
NOTE: In this session we find change of variables which reduct arbitrary linear second-order partial differential operator with constant coefficients to canonical form. Program sqsum convert quadratic form to sum squares.
Introduction
Please input number of examples k (1..13) and select Edit->Execute->Worksheet
Warning, the protected names norm and trace have been redefined and unprotected
Linear operators
Conversion quadratic form to sum squares
program sqsum
examples using sqsum
Example 1
Example 2
Example 3
Example 4
Example 5
Error, (in sqsum) f is not quadratic form
Conversion differential operator to canonical form
Example
Conversion to diff and checking with PDEtools[dchange]
Checking with PDEtools[dchange]:
While every effort has been made to validate the solutions in this worksheet, Waterloo Maple Inc. and the contributors are not responsible for any errors contained and are not liable for any damages resulting from the use of this material.
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