LEADER 03789nam a2200589 i 4500001    99125564701206421
005    20241120175426.0
006    m    eo  d
007    cr |||||||||||
008    210824s2021    pau    fob    001 0 eng d
010    2021011352
020    1-61197-661-8
024 7  10.1137/1.9781611976618 |2doi
028 50 OT174 |bSIAM
035    (CKB)4100000011998608
035    (NjHacI)994100000011998608
035    (CaBNVSL)thg00082578
035    (OCoLC)1248600446
035    (SIAM)9781611976618
035    (EXLCZ)994100000011998608
040    CaBNVSL |beng |erda |cCaBNVSL |dCaBNVSL
050  4 QA372 |b.U33 2021eb
072  7 MAT003000 |2bisacsh
072  7 MAT007020 |2bisacsh
072  7 MAT04100 |2bisacsh
072  7 MAT042000 |2bisacsh
072  7 COM077000 |2bisacsh
082 04 515.355 |223
100 1  Uecker, Hannes, |d1970- |eauthor.
245 10 Numerical continuation and bifurcation in nonlinear PDEs / |cHannes Uecker.
264  1 Philadelphia, Pennsylvania : |bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), |c[2021]
300    1 online resource (xvi, 364 pages) : |billustrations
336    text |btxt |2rdacontent
337    computer |bc |2rdamedia
338    online resource |bcr |2rdacarrier
490 1  Other titles in applied mathematics; |v174
504    Includes bibliographical references (pages 341-357) and index.
505 0  Getting started -- Liapunov-Schmidt reduction and local bifurcations -- Numerics for continuation and bifurcation -- Finite elements -- Setup and overview of pde2path -- Allen-Cahn equations as model problems -- Examples of Hopf bifurcations -- Pattern formation in 4th order equations -- Reaction-diffusion systems -- Problems on curved surfaces -- Applications in optimal control -- Appendix A. pde2path organization.
520 3  This book provides a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D, and 3D. Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with parameters, and the study of the parameter dependence of their solutions is an important task. Letting one parameter vary typically yields a branch of solutions, and at special parameter values, new branches may bifurcate. Numerical Continuation and Bifurcation in Nonlinear PDEs provides a concise review of some analytical background and numerical methods, explains the free MATLAB package pde2path by using a large variety of examples, and contains demo codes that can be easily adapted to the reader's given problem. This book will appeal to applied mathematicians and scientists from physics, chemistry, biology, and economics interested in the numerical solution of nonlinear PDEs, particularly the parameter dependence of solutions. It can be used as a supplemental text in courses on nonlinear PDEs and modeling and bifurcation.
588    Description based on title page of print version.
530    Also available in print version.
538    Mode of access: World Wide Web.
538    System requirements: Adobe Acrobat Reader.
650  0 Differential equations, Nonlinear |xNumerical solutions.
650  7 MATHEMATICS / Applied. |2bisacsh
650  7 MATHEMATICS / Differential Equations / Partial. |2bisacsh
650  7 MATHEMATICS / Applied / Numerical Analysis. |2bisacsh
650  7 MATHEMATICS / Applied / Optimization. |2bisacsh
650  7 COMPUTERS / Mathematical & Statistical Software. |2bisacsh
776     |z1-61197-660-X
710 2  Society for Industrial and Applied Mathematics, |epublisher.
830  0 Other titles in applied mathematics.
906    BOOK