Mixing
Methods of characteristic for system of first order linear hyperbolic partial differential equations:...
$begingroup$
I would like to understand a few points on the methods of characteristics used to resolve a system of coupled, linear first order partial differential equation (of the hyperbolic type). Some example of them can be found
- Method of characteristics for a system of pdes
- Solving a system of PDEs with method of characteristics
on this website for instance.
So do you have any good reference about systems of first-order, coupled partial differential equation resolved via the method of characteristics.
Thanks in advance for any comment which would increase the quality of this question.
UPDATE: I've found some references like
Courant, Methods of Mathematical physics (1962) - Willey & Sons
Courant and Lax, On nonlinear partial differential equations with two independent variables (1949) (beyond a paywall)
John, Partial Differential Equations, 3-rd edition (1978) - Springer
but all discuss the non-linear problem, which obscure the presentation for my purpose. Is there no reference, good introduction to the topic for linear system ? In particular, simple examples would be well appreciated. Thanks in advance.
reference-request pde systems-of-equations hyperbolic-equations linear-pde
edited Jan 8 at 13:31
Harry49
6,18331132
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
$endgroup$
add a comment |
$begingroup$
I would like to understand a few points on the methods of characteristics used to resolve a system of coupled, linear first order partial differential equation (of the hyperbolic type). Some example of them can be found
- Method of characteristics for a system of pdes
- Solving a system of PDEs with method of characteristics
on this website for instance.
So do you have any good reference about systems of first-order, coupled partial differential equation resolved via the method of characteristics.
Thanks in advance for any comment which would increase the quality of this question.
UPDATE: I've found some references like
Courant, Methods of Mathematical physics (1962) - Willey & Sons
Courant and Lax, On nonlinear partial differential equations with two independent variables (1949) (beyond a paywall)
John, Partial Differential Equations, 3-rd edition (1978) - Springer
but all discuss the non-linear problem, which obscure the presentation for my purpose. Is there no reference, good introduction to the topic for linear system ? In particular, simple examples would be well appreciated. Thanks in advance.
reference-request pde systems-of-equations hyperbolic-equations linear-pde
edited Jan 8 at 13:31
Harry49
6,18331132
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
$endgroup$
add a comment |
$begingroup$
I would like to understand a few points on the methods of characteristics used to resolve a system of coupled, linear first order partial differential equation (of the hyperbolic type). Some example of them can be found
- Method of characteristics for a system of pdes
- Solving a system of PDEs with method of characteristics
on this website for instance.
So do you have any good reference about systems of first-order, coupled partial differential equation resolved via the method of characteristics.
Thanks in advance for any comment which would increase the quality of this question.
UPDATE: I've found some references like
Courant, Methods of Mathematical physics (1962) - Willey & Sons
Courant and Lax, On nonlinear partial differential equations with two independent variables (1949) (beyond a paywall)
John, Partial Differential Equations, 3-rd edition (1978) - Springer
but all discuss the non-linear problem, which obscure the presentation for my purpose. Is there no reference, good introduction to the topic for linear system ? In particular, simple examples would be well appreciated. Thanks in advance.
reference-request pde systems-of-equations hyperbolic-equations linear-pde
edited Jan 8 at 13:31
Harry49
6,18331132
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
$endgroup$
I would like to understand a few points on the methods of characteristics used to resolve a system of coupled, linear first order partial differential equation (of the hyperbolic type). Some example of them can be found
- Method of characteristics for a system of pdes
- Solving a system of PDEs with method of characteristics
on this website for instance.
So do you have any good reference about systems of first-order, coupled partial differential equation resolved via the method of characteristics.
Thanks in advance for any comment which would increase the quality of this question.
UPDATE: I've found some references like
Courant, Methods of Mathematical physics (1962) - Willey & Sons
Courant and Lax, On nonlinear partial differential equations with two independent variables (1949) (beyond a paywall)
John, Partial Differential Equations, 3-rd edition (1978) - Springer
but all discuss the non-linear problem, which obscure the presentation for my purpose. Is there no reference, good introduction to the topic for linear system ? In particular, simple examples would be well appreciated. Thanks in advance.
reference-request pde systems-of-equations hyperbolic-equations linear-pde
reference-request pde systems-of-equations hyperbolic-equations linear-pde
edited Jan 8 at 13:31
Harry49
6,18331132
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
edited Jan 8 at 13:31
Harry49
6,18331132
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
edited Jan 8 at 13:31
Harry49
6,18331132
edited Jan 8 at 13:31
Harry49
6,18331132
edited Jan 8 at 13:31
Harry49
6,18331132
6,18331132
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
asked May 28 '14 at 13:08
FraSchelleFraSchelle
220211
220211
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Here's a good reference I found:
- E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics,
DOI 10.1007/b7976-1 2, c Springer-Verlag Berlin Heidelberg 2009
Chapter 2 is what you're looking for. You can find a link online.
answered Nov 13 '14 at 4:02
JonJon
5114
$endgroup$
add a comment |
$begingroup$
I will add a one more:
Partial Differential Equations - Garabedian, John Wiley & Sons Inc., 1st edition, 1964 (there is also a newer edition)
answered Jul 12 '18 at 14:11
MarkMark
4617
$endgroup$
add a comment |
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2 Answers
2
active
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votes
2 Answers
2
active
oldest
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active
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active
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votes
$begingroup$
Here's a good reference I found:
- E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics,
DOI 10.1007/b7976-1 2, c Springer-Verlag Berlin Heidelberg 2009
Chapter 2 is what you're looking for. You can find a link online.
answered Nov 13 '14 at 4:02
JonJon
5114
$endgroup$
add a comment |
$begingroup$
Here's a good reference I found:
- E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics,
DOI 10.1007/b7976-1 2, c Springer-Verlag Berlin Heidelberg 2009
Chapter 2 is what you're looking for. You can find a link online.
answered Nov 13 '14 at 4:02
JonJon
5114
$endgroup$
add a comment |
$begingroup$
Here's a good reference I found:
- E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics,
DOI 10.1007/b7976-1 2, c Springer-Verlag Berlin Heidelberg 2009
Chapter 2 is what you're looking for. You can find a link online.
answered Nov 13 '14 at 4:02
JonJon
5114
$endgroup$
Here's a good reference I found:
- E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics,
DOI 10.1007/b7976-1 2, c Springer-Verlag Berlin Heidelberg 2009
Chapter 2 is what you're looking for. You can find a link online.
answered Nov 13 '14 at 4:02
JonJon
5114
edited Nov 13 '14 at 5:40
answered Nov 13 '14 at 4:02
JonJon
5114
answered Nov 13 '14 at 4:02
JonJon
5114
answered Nov 13 '14 at 4:02
JonJon
5114
5114
add a comment |
add a comment |
$begingroup$
I will add a one more:
Partial Differential Equations - Garabedian, John Wiley & Sons Inc., 1st edition, 1964 (there is also a newer edition)
answered Jul 12 '18 at 14:11
MarkMark
4617
$endgroup$
add a comment |
$begingroup$
I will add a one more:
Partial Differential Equations - Garabedian, John Wiley & Sons Inc., 1st edition, 1964 (there is also a newer edition)
answered Jul 12 '18 at 14:11
MarkMark
4617
$endgroup$
add a comment |
$begingroup$
I will add a one more:
Partial Differential Equations - Garabedian, John Wiley & Sons Inc., 1st edition, 1964 (there is also a newer edition)
answered Jul 12 '18 at 14:11
MarkMark
4617
$endgroup$
I will add a one more:
Partial Differential Equations - Garabedian, John Wiley & Sons Inc., 1st edition, 1964 (there is also a newer edition)
answered Jul 12 '18 at 14:11
MarkMark
4617
answered Jul 12 '18 at 14:11
MarkMark
4617
answered Jul 12 '18 at 14:11
MarkMark
4617
answered Jul 12 '18 at 14:11
MarkMark
4617
4617
add a comment |
add a comment |
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