How can I overcome errors in RK4 due to linearly interpolated data?

Liferider
Messages
41
Reaction score
0
I am simulating an ODE where the differential function is a function of sampled data points and are having trouble obtaining data in between sampled points (for the step computations of RK4). The first thing that I tried was to linearly interpolate the data, but that introduced large accumulating errors in the simulation. Is there a way to circumvent this?

One possibility of course, is to use Euler integration with the appropriate step length, but it would be nice to use a higher order scheme if possible.
 
Physics news on Phys.org
Don't bother, just very sensitive regarding step length.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

A How can I resample data with errors linearly in log space?
Replies
3
Views
1K
How can I convert discrete sums to integrals using spline interpolation?
Replies
10
Views
12K
How to analyse the difference between physical and calculated data?
Replies
2
Views
2K
Programs How good is this applied math program?
Replies
13
Views
3K
I Progress In Calculating The HLbL Contribution To Muon g-2
Replies
0
Views
2K
How to choose math electives for a physic student
Replies
1
Views
2K
How Can You Effectively Derive Derivatives from Thermodynamic Measurement Data?
Replies
2
Views
3K
LaTeX How to insert page number in footer in latex
Replies
2
Views
3K
I Optimization problem with multiple outputs: impossible?
Replies
6
Views
2K
How can I interpolate a curve with relative min/max or roots at discrete points?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top