Averaging techniques for time-marching schemes for retarded potential integral equations
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Publication:1356984
DOI10.1016/S0168-9274(96)00069-4zbMath0882.65145MaRDI QIDQ1356984
Dugald B. Duncan, Penny J. Davies
Publication date: 12 March 1998
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
stabilitynumerical resultsquadrature formulaaveragingretarded potential integral equationstime-marching schemes
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Cites Work
- Unnamed Item
- On numerical cubatures of singular surface integrals in boundary element methods
- On the Numerical Solution of Convolution Integral Equations and Systems of Such Equations
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- Numerical Stability and Convergence of Approximations of Retarded Potential Integral Equations
- The Deferred Approach to the Limit for Eigenvalues of Integral Equations
