Download or read book STABILITY AND CONVERGENCE FOR A NUMERICAL SOLUTION OF THE GOURSAT PROBLEM written by RALPH THEODORE DAMES and published by . This book was released on 1957 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integration of the Goursat Problem by Difference Methods written by Milton Lees and published by . This book was released on 1959 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability and Convergence in the Numerical Solution of Stiff Initial Value Problems written by Johannes F. Kraaijevanger and published by . This book was released on 1986 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Bibliography for the Numerical Solution of Partial Differential Equations written by John H. Giese and published by . This book was released on 1969 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: A list of 2561 references to the numerical solution of partial differential equations has been compiled. References to reviews in several abstracting journals have been given, and a crude index has been prepared. (Author).

Download or read book Bounds on the Truncation Error by Finite Differences for the Goursat Problem written by Abdul Kadir Aziz and published by . This book was released on 1962 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite difference analogue is formulated for the boundary value problem, a finite analogue of Riemann's function is developed. It is shown that the truncation error is bounded explicitly in terms of the data of the problem, which is of 0(h squared), where h is the mesh size. Bounds of the same order are obtained for the error in approximating the derivatives. Similar results are derived for the nonlinear cas if f satisfies certain continuity and differentiability conditions.

Download or read book Stability and Error Estimation for Component Adaptive Grid Methods written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-22 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Component adaptive grid (CAG) methods for solving hyperbolic partial differential equations (PDE's) are discussed in this paper. Applying recent stability results for a class of numerical methods on uniform grids. The convergence of these methods for linear problems on component adaptive grids is established here. Furthermore, the computational error can be estimated on CAG's using the stability results. Using these estimates, the error can be controlled on CAG's. Thus, the solution can be computed efficiently on CAG's within a given error tolerance. Computational results for time dependent linear problems in one and two space dimensions are presented. Oliger, Joseph and Zhu, Xiaolei Unspecified Center NAS2-13721; N00014-89-J-0185; N00014-90-J-1344; NSF DMS-93-18166...

Download or read book Proceedings of the Board of Regents written by University of Michigan. Board of Regents and published by . This book was released on 1954 with total page 1828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Selected Numerical Methods for Linear Equations Polynomial Equations Partial Differential Equations Conformal Mapping written by Christian Gram and published by . This book was released on 1962 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Inverse Problems for Maxwell s Equations written by V. Vladimir Gavrilovich Romanov and published by VSP. This book was released on 1994 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a simultaneous presentation of the theory and numerical treatment of inverse problems for Maxwell's equations. The inverse problems are central to many areas of science and technology such as geophysical exploration, remote sensing, near-surface radar-location, dielectric logging, medical imaging, etc. The basic idea. of inverse methods is to extract from the evaluation of measured electromagnetic field the details of the medium considered. The inverse problems are investigated not only for Maxwell's equations but also for their guasistationary approximation and in the case of harmonic dependence in time. Starting with the simplest one-dimensional inverse problems, the book leads its readers to more complicated multidimensional ones studied for media of various kinds. The unique solvability of a number of the considered problems is shown as well as the stability of their solutions. The numerical analysis ranges from the finite-difference scheme inversion to the linearization method and finally the dynamic variant of the Gel'fand-Levitan method. Computational results are presented. The book is intended to provide graduate students in applied mathematics and geophysics, as well as the researches in the field, with an understanding of inverse problem theory. Although the main part of the book is rather theoretical in nature, it is also of practical value to experimentalists and engineers.

Download or read book Conference on the Numerical Solution of Differential Equations written by J. L. Morris and published by Springer. This book was released on 2006-11-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability of Multistep Methods in Numerical Integration written by Robert Nelson Lea and published by . This book was released on 1965 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematics of Computation written by and published by . This book was released on 1960* with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1957 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Difference Schemes for Partial Differential Equations written by Allaberen Ashyralyev and published by Birkhäuser. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1970 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book ON APPROXIMATIONS OF THE SOLUTIONS OF THE GOURSAT PROBLEM FOR SECOND ORDER QUASI LINEAR EQUATIONS written by ROBERT HANSON MOORE and published by . This book was released on 1959 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: