Is there a database/website with Butcher tableaus?
$begingroup$
I have started investigating in mostly Runge Kutta and Runge Kutta Nyström methods and there one of the only differences between the methods of the same type is their Butcher tableu. For the most common ones (RK4, RKF45, DOPRI54) they can be found on Wikipedia but otherwise I find it hard to find them. I could always go back the original paper but it can be a bit complicated for a newbie like me to read and understand. For example the Tsistouras 5 integrator. It seems unnecessary if people have to do all that work everytime to get those. Is there any website that has a larger collection of butcher tableus?
ode runge-kutta
edited 1 hour ago
GertVdE
5,1551433
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
$endgroup$
add a comment |
$begingroup$
I have started investigating in mostly Runge Kutta and Runge Kutta Nyström methods and there one of the only differences between the methods of the same type is their Butcher tableu. For the most common ones (RK4, RKF45, DOPRI54) they can be found on Wikipedia but otherwise I find it hard to find them. I could always go back the original paper but it can be a bit complicated for a newbie like me to read and understand. For example the Tsistouras 5 integrator. It seems unnecessary if people have to do all that work everytime to get those. Is there any website that has a larger collection of butcher tableus?
ode runge-kutta
edited 1 hour ago
GertVdE
5,1551433
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
$endgroup$
add a comment |
$begingroup$
I have started investigating in mostly Runge Kutta and Runge Kutta Nyström methods and there one of the only differences between the methods of the same type is their Butcher tableu. For the most common ones (RK4, RKF45, DOPRI54) they can be found on Wikipedia but otherwise I find it hard to find them. I could always go back the original paper but it can be a bit complicated for a newbie like me to read and understand. For example the Tsistouras 5 integrator. It seems unnecessary if people have to do all that work everytime to get those. Is there any website that has a larger collection of butcher tableus?
ode runge-kutta
edited 1 hour ago
GertVdE
5,1551433
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
$endgroup$
I have started investigating in mostly Runge Kutta and Runge Kutta Nyström methods and there one of the only differences between the methods of the same type is their Butcher tableu. For the most common ones (RK4, RKF45, DOPRI54) they can be found on Wikipedia but otherwise I find it hard to find them. I could always go back the original paper but it can be a bit complicated for a newbie like me to read and understand. For example the Tsistouras 5 integrator. It seems unnecessary if people have to do all that work everytime to get those. Is there any website that has a larger collection of butcher tableus?
ode runge-kutta
ode runge-kutta
edited 1 hour ago
GertVdE
5,1551433
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
edited 1 hour ago
GertVdE
5,1551433
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
edited 1 hour ago
GertVdE
5,1551433
edited 1 hour ago
GertVdE
5,1551433
edited 1 hour ago
GertVdE
5,1551433
5,1551433
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
asked 2 hours ago
Hugo GransträmHugo Gransträm
405
405
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
The three best sources of Butcher tableaus are, according to me, the reference books
Numerical Methods for Ordinary Differential Equations, 3rd ed., J.C. Butcher,
Solving Ordinary Differential Equations I, 2nd ed., Hairer, Norsett and Wanner and
Solving Ordinary Differential Equations II, 2nd ed., Hairer and Wanner.
You will have to browse through the books but all three of them contain a huge number of tableaus with indications of the "method name" (like Dormand-Prince). Unfortunately, the Butcher book has a very limited index so you'll really need to browse the book.
There is also a comprehensive list on Wikipedia.
The Julia language extension DifferentialEquations.jl also has a large set of tableaus implemented. You can find the implementation of the tableaus here.
answered 1 hour ago
GertVdEGertVdE
5,1551433
$endgroup$
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
add a comment |
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "363"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fscicomp.stackexchange.com%2fquestions%2f32540%2fis-there-a-database-website-with-butcher-tableaus%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The three best sources of Butcher tableaus are, according to me, the reference books
Numerical Methods for Ordinary Differential Equations, 3rd ed., J.C. Butcher,
Solving Ordinary Differential Equations I, 2nd ed., Hairer, Norsett and Wanner and
Solving Ordinary Differential Equations II, 2nd ed., Hairer and Wanner.
You will have to browse through the books but all three of them contain a huge number of tableaus with indications of the "method name" (like Dormand-Prince). Unfortunately, the Butcher book has a very limited index so you'll really need to browse the book.
There is also a comprehensive list on Wikipedia.
The Julia language extension DifferentialEquations.jl also has a large set of tableaus implemented. You can find the implementation of the tableaus here.
answered 1 hour ago
GertVdEGertVdE
5,1551433
$endgroup$
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
add a comment |
$begingroup$
The three best sources of Butcher tableaus are, according to me, the reference books
Numerical Methods for Ordinary Differential Equations, 3rd ed., J.C. Butcher,
Solving Ordinary Differential Equations I, 2nd ed., Hairer, Norsett and Wanner and
Solving Ordinary Differential Equations II, 2nd ed., Hairer and Wanner.
You will have to browse through the books but all three of them contain a huge number of tableaus with indications of the "method name" (like Dormand-Prince). Unfortunately, the Butcher book has a very limited index so you'll really need to browse the book.
There is also a comprehensive list on Wikipedia.
The Julia language extension DifferentialEquations.jl also has a large set of tableaus implemented. You can find the implementation of the tableaus here.
answered 1 hour ago
GertVdEGertVdE
5,1551433
$endgroup$
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
add a comment |
$begingroup$
The three best sources of Butcher tableaus are, according to me, the reference books
Numerical Methods for Ordinary Differential Equations, 3rd ed., J.C. Butcher,
Solving Ordinary Differential Equations I, 2nd ed., Hairer, Norsett and Wanner and
Solving Ordinary Differential Equations II, 2nd ed., Hairer and Wanner.
You will have to browse through the books but all three of them contain a huge number of tableaus with indications of the "method name" (like Dormand-Prince). Unfortunately, the Butcher book has a very limited index so you'll really need to browse the book.
There is also a comprehensive list on Wikipedia.
The Julia language extension DifferentialEquations.jl also has a large set of tableaus implemented. You can find the implementation of the tableaus here.
answered 1 hour ago
GertVdEGertVdE
5,1551433
$endgroup$
The three best sources of Butcher tableaus are, according to me, the reference books
Numerical Methods for Ordinary Differential Equations, 3rd ed., J.C. Butcher,
Solving Ordinary Differential Equations I, 2nd ed., Hairer, Norsett and Wanner and
Solving Ordinary Differential Equations II, 2nd ed., Hairer and Wanner.
You will have to browse through the books but all three of them contain a huge number of tableaus with indications of the "method name" (like Dormand-Prince). Unfortunately, the Butcher book has a very limited index so you'll really need to browse the book.
There is also a comprehensive list on Wikipedia.
The Julia language extension DifferentialEquations.jl also has a large set of tableaus implemented. You can find the implementation of the tableaus here.
answered 1 hour ago
GertVdEGertVdE
5,1551433
edited 1 hour ago
answered 1 hour ago
GertVdEGertVdE
5,1551433
answered 1 hour ago
GertVdEGertVdE
5,1551433
answered 1 hour ago
GertVdEGertVdE
5,1551433
5,1551433
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
add a comment |
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
$begingroup$
Exactly what I looked for ;-). Thank you very much :-D
$endgroup$
– Hugo Gransträm
1 hour ago
add a comment |
Thanks for contributing an answer to Computational Science Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fscicomp.stackexchange.com%2fquestions%2f32540%2fis-there-a-database-website-with-butcher-tableaus%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
