By Valarmathi Sigamani, John J. H. Miller, Ramanujam Narasimhan, Paramasivam Mathiazhagan, Franklin Victor
This ebook deals a terrific creation to singular perturbation difficulties, and a worthy advisor for researchers within the box of differential equations. it's also chapters on new contributions to either fields: differential equations and singular perturbation difficulties. Written via specialists who're lively researchers within the comparable fields, the e-book serves as a complete resource of data at the underlying principles within the building of numerical the way to tackle various periods of issues of ideas of alternative behaviors, so that it will eventually support researchers to layout and investigate numerical tools for fixing new difficulties. all of the chapters offered within the quantity are complemented by way of illustrations within the type of tables and graphs.
Read Online or Download Differential Equations and Numerical Analysis: Tiruchirappalli, India, January 2015 PDF
Similar number systems books
Lecture notes on computer algebra
Those notes list seven lectures given within the desktop algebra path within the fall of 2004. the idea of suhrcsultants isn't really required for the ultimate схаш because of its complex buildings.
Partial Differential Equations and Mathematica
This new e-book on partial differential equations presents a extra obtainable remedy of this challenging topic. there's a have to introduce expertise into math classes; hence, the authors combine using Mathematica during the booklet, instead of simply supplying a number of pattern difficulties on the ends of chapters.
Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
Scientists and engineers trying to clear up advanced difficulties require effective, potent methods of utilising numerical how to ODEs and PDEs. they want a source that allows quickly entry to library workouts of their collection of a programming language. usual and Partial Differential Equation exercises in C, C++, Fortran, Java, Maple, and MATLAB offers a suite of ODE/PDE integration workouts within the six most generally used languages in technology and engineering, allowing scientists and engineers to use ODE/PDE research towards fixing advanced difficulties.
Functional Analytic Methods for Partial Differential Equations
Combining either classical and present equipment of study, this article current discussions at the software of useful analytic tools in partial differential equations. It furnishes a simplified, self-contained evidence of Agmon-Douglis-Niremberg's Lp-estimates for boundary worth difficulties, utilizing the speculation of singular integrals and the Hilbert rework.
- Partielle Differenzialgleichungen: Eine Einführung in analytische und numerische Methoden
- Generalized inverses: Theory and applications
- Combinatorial Theory (Classics in Mathematics)
- Mixed and Hybrid Finite Element Methods
- Theoretical Numerical Analysis A Functional Analysis Framework
- Operator inequalities of Ostrowski and trapezoidal type
Extra info for Differential Equations and Numerical Analysis: Tiruchirappalli, India, January 2015
Sample text
Math. Comput. 219(2), 498–510 (2012) 25. A. Farrell, E. I. Shishkin, A class of singularly perturbed semilinear differential equations with interior layers. Math. Comp. 74, 1759–1776 (2005) 26. N. Kopteva, M. Stynes, Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem. Numer. Math. 119, 787–810 (2011) 27. A. Farrell, E. I. Shishkin, A class of singularly perturbed quasilinear differential equations with interior layers. Math. Comp.
By placing further restrictions on the data, a parameter-uniform method was constructed in [25] for this semilinear problem. However, other semilinear problems of the form (11) can be very difficult to solve numerically. In [26] a semilinear problem of the form (11) with smooth data, where an unstable continuous reduced solution was positioned between two stable continuous reduced solutions, was examined. Using a piecewise-uniform Shishkin mesh (of an appropriate width) centered at any point in the domain Ω, then an interior layer forms within the fine mesh, no matter where the mesh is √ centered [26].
L. Gracia, E. O’Riordan, A singularly perturbed convection–diffusion problem with a moving interior layer. Int. J. Numer. Anal. Model. 9(4), 823–843 (2012) 24. L. Gracia, E. O’Riordan, A singularly perturbed parabolic problem with a layer in the initial condition. Appl. Math. Comput. 219(2), 498–510 (2012) 25. A. Farrell, E. I. Shishkin, A class of singularly perturbed semilinear differential equations with interior layers. Math. Comp. 74, 1759–1776 (2005) 26. N. Kopteva, M. Stynes, Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction-diffusion problem.