Layer resolving grids and transformations for singular perturbation problems/ (Record no. 164734)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00410nam a2200145Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9067643467 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518 |
| Item number | LIS/L |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Liseikin, Vladimir D. |
| 245 #0 - TITLE STATEMENT | |
| Title | Layer resolving grids and transformations for singular perturbation problems/ |
| Sub title | Vladimir D. Liseikin. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Netherlands: |
| Name of publisher, distributor, etc. | Utrecht, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 284 p. |
| Other physical details | ill, |
| Dimensions | 24 cm. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 1 Introduction to singularly perturbed problems: introduction; examples of singularly perturbed problems; convection-diffusion problems; momentum conservation laws; Prandtl equations; problem of a thin beam; problems of the shock wave structure; Burger's equation; one dimensional steady reaction-diffusion-convection model; Orr-Sommerfeld problem; diffusion-drift motion problem; idealized problems; semilinear problem; weakly-coupled systems of ordinary differential equations; autonomous equation; equation with a power function multiplying the second derivative; general idealized problem; invariants of equations; singular functions; definition of the singular functions; examples of singular functions; layer-type functions; notion of layers; definition of layers; examples of layers; partition of layers; scale of a layer; classification of layers; basic approaches to analyze problems with a small parameter; method of multivariable asymptotic expansions; method of matched asymptotic expansions; expansion via differential inequalities; numerical methods; method of layer-damping transformations; comments. Chapter 2 Background for qualitative analysis: introduction; differential inequalities; scalar problems; systems of the second order; theorems of inverse monotonicity; first order equations; second order equations; requirements imposed on estimates of the derivatives; formulation of an optimal univariate transformation; necessary bounds for the first derivative; bounds on the higher derivatives; uniform bounds on the total variation; inequality relations; comments. Chapter 3 Estimates of the solution derivatives to semilinear problems: introduction; initial problem; smooth problem; nonsmooth terms; second order equations; strong ellipticity; problem with the condition f(x,u) = xg(x,u); problem of population dynamics theory; generalization to mixed boundary conditions and dependence on e; equation with a power function affecting the second derivative; power singularities; exponential singularity; generalization to elliptic and parabolic equations; estimates of the solution derivatives; comments. Chapter 4 Problems for ordinary quasilinear equations: introduction; autonomous boundary value problem; preliminary results; boundary layers; interior layers; nonautonomous equation; estimates of the first derivative; graphical chart for localizing the layers; example of the problem; analysis of the limit solution; properties of the limit solution |
| 650 ## - SUBJECT | |
| Keyword | Perturbation (Mathematics) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 518 LIS/L | P19647 | 29/08/2016 | General Books |