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Convergence of Difference Methods for Initial and Boundary Value Problems with Discontinuous Data
Bruce Chartres and Robert Stepleman
Mathematics of Computation
Vol. 25, No. 116 (Oct., 1971), pp. 729-732
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2004339
Page Count: 4
You can always find the topics here!Topics: Boundary value problems, Convergent boundaries, Lipschitz condition, Trajectories, Perceptron convergence procedure, Eulers method, Differential equations, Mathematical problems, Mathematical theorems, Ordinary differential equations
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This paper extends the classical convergence theory for numerical solutions to initial and boundary value problems with continuous data (the right-hand side) to problems with Riemann integrable data. Order of convergence results are also obtained.
Mathematics of Computation © 1971 American Mathematical Society