Concepedia

Solution Continuation

Solution Continuation is a mathematical method in Existence Theory that extends local solutions of differential equations or dynamical systems to larger domains by systematically tracking solution branches through parameter variation while preserving existence and uniqueness conditions.

410

Publications

23.5K

Citations

669

Authors

359

Institutions

Publications per year

2017–2026

55

Variants

Continuation Method

Parents

Publications

410

Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems

Indraneel Das, J. E. Dennis · SIAM Journal on Optimization · 1998 · 2.6K citations

, , +15

AUTO-07p: Continuation and bifurcation software for ordinary differential equations

Eusebius J. Doedel, Alan Champneys, Fabio Dercole et al. · 2007 · 1.7K citations

, , +13

GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION

Alberto Bressan, Adrian Constantin · Analysis and Applications · 2006 · 528 citations

, , +16

A UNIQUE CONTINUATION THEOREM FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OR INEQUALITIES OF SECOND ORDER

N. Aronszajn · 1956 · 524 citations

, , +7

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

Eugene L. Allgower, Kurt Georg · SIAM Review · 1980 · 435 citations

, , +16

1–5 of 410

Authors

669

  1. FZ
    Fabio Zanolin

    University of Udine, Italy

    9 publications · 438 citations

    9

    h-index

  2. AC
    Anna Capietto

    University of Turin, Italy

    8 publications · 374 citations

    8

    h-index

  3. JM
    Jean Mawhin

    UCLouvain, Belgium

    8 publications · 432 citations

    8

    h-index

  4. CE
    Carlos E. Kenig

    University of Chicago, United States

    6 publications · 182 citations

    6

    h-index

  5. DT
    Daniel Tataru

    University of California, Berkeley, United States

    6 publications · 644 citations

    6

    h-index

1–5 of 669

Institutions

359

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    33 publications

    2.1K citations

  2. University of Chicago

    Chicago, United States

    9 h-index

    11 publications

    323 citations

  3. The University of Tokyo

    Tokyo, Japan

    8 h-index

    9 publications

    387 citations

  4. Purdue University West Lafayette

    West Lafayette, United States

    7 h-index

    10 publications

    692 citations

  5. National Taiwan University

    Taipei, Taiwan

    7 h-index

    7 publications

    161 citations

  6. University of Udine

    Udine, Italy

    6 h-index

    6 publications

    259 citations

  7. Rutgers, The State University of New Jersey

    New Brunswick, United States

    5 h-index

    7 publications

    448 citations

  8. University of Milano-Bicocca

    Milan, Italy

    5 h-index

    6 publications

    224 citations

1–8 of 359

Venues

  1. 14

    h-index

  2. SIAM Journal on Mathematical Analysis

    12 publications · 486 citations

    12

    h-index

  3. Journal of Differential Equations

    14 publications · 858 citations

    12

    h-index

  4. 11

    h-index

  5. Communications on Pure and Applied Mathematics

    9 publications · 1.4K citations

    9

    h-index

1–5