Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [numerical-methods]

Questions on numerical analysis/numerical methods; methods for approximately solving various problems that often do not admit exact solutions.

4
votes
1answer
98 views
+100

Removable singularity in $\phi(\vec{x})=\int [\phi\frac{\partial (\ln r)}{\partial n} -\ln(r) \frac{\partial \phi}{\partial n}] ds$

If I have the following integral equation $$\phi(\vec{x})=\frac{1}{\pi}\int [\phi\frac{\partial (\ln r)}{\partial n} -\ln(r) \frac{\partial \phi}{\partial n}] ds$$ An approximate solution of $\phi$ ...
7
votes
0answers
181 views
+100

Convergence of numerical methods for Viscous Burgers' Equation

For linear problems we can deduce convergence of numerical schemes by checking consistency and stability because of the Lax Equivalence Theorem. For conservation laws, we know that conservative, ...
1
vote
1answer
56 views
+50

Determine the variables so as to make differential equation has global error of order 3

Determine $\alpha, \beta$ and $\gamma$ so that the linear, multistep method $$ y_{j+4} - y_j + \alpha (y_{j+3} - y_{j+1}) = h [ \beta (f_{j+3} - f_{j+1}) + \gamma f_{j+2} ] $$ for the d.e....