# Questions tagged [numerical-methods]

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

3 questions
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### 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 $\phi$ ...
0answers
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### 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, ...
1answer
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### 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....