Concepedia

Boundary Conditions

Boundary Conditions is a set of mathematical constraints that define the behavior of a physical field or state variable at the boundaries of a domain in a differential equation system, thereby specifying how the solution interacts with the domain's limits across disciplines such as computational physics, engineering, and applied mathematics.

54.9K

Publications

2.6M

Citations

44.2K

Authors

6.3K

Institutions

Publications per year

2017–2026

7.7K

Parents

Children

Publications

54.9K

Volume of fluid (VOF) method for the dynamics of free boundaries

C.W. Hirt, B.D. Nichols · Journal of Computational Physics · 1981 · 15.7K citations

, , +11

Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

K.S. Yee · IEEE Transactions on Antennas and Propagation · 1966 · 14.7K citations

, , +15

Solutions of Ill-Posed Problems.

John B. Bell, V. Y. Arsenin · Mathematics of Computation · 1978 · 8.2K citations

, , +12

Differential equations with discontinuous right hand sides

Mathematics and Computers in Simulation · 1989 · 5K citations

, , +10

Solving ordinary differential equations I. nonstiff problems

Ernst Hairer, Gerhard Wanner · Mathematics and Computers in Simulation · 1987 · 4.1K citations · Full text

, , +9

1–5 of 54.9K

Authors

44.2K

  1. LC
    Luis Caffarelli

    The University of Texas at Austin, United States

    81 publications · 13.2K citations

    50

    h-index

  2. CE
    Carlos E. Kenig

    University of Chicago, United States

    82 publications · 12.2K citations

    49

    h-index

  3. JJ
    Juan J. Nieto

    Universidade de Santiago de Compostela, Spain

    118 publications · 7.1K citations

    48

    h-index

  4. BA
    Bashir Ahmad

    King Abdulaziz University, Saudi Arabia

    191 publications · 8.4K citations

    47

    h-index

  5. IL
    Irena Lasiecka

    University of Virginia, United States

    109 publications · 6.4K citations

    45

    h-index

1–5 of 44.2K

Institutions

6.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    99 h-index

    2.1K publications

    86.7K citations

  2. Courant Institute of Mathematical Sciences

    New York, United States

    96 h-index

    385 publications

    47.2K citations

  3. University of Minnesota

    Minneapolis, United States

    88 h-index

    572 publications

    43.4K citations

  4. Sorbonne Université

    Paris, France

    81 h-index

    500 publications

    42.9K citations

  5. Université Paris Cité

    Paris, France

    76 h-index

    365 publications

    29.3K citations

  6. Stanford University

    Stanford, United States

    75 h-index

    340 publications

    35.5K citations

  7. Princeton University

    Princeton, United States

    73 h-index

    324 publications

    37.5K citations

  8. University of Chicago

    Chicago, United States

    73 h-index

    255 publications

    25.4K citations

1–8 of 6.3K

Venues

  1. Communications on Pure and Applied Mathematics

    471 publications · 76.9K citations

    138

    h-index

  2. Journal of Computational Physics

    957 publications · 103.5K citations

    137

    h-index

  3. Journal of Differential Equations

    1.9K publications · 99.5K citations

    134

    h-index

  4. Archive for Rational Mechanics and Analysis

    722 publications · 58.2K citations

    117

    h-index

  5. Journal of Mathematical Analysis and Applications

    2.1K publications · 83.6K citations

    108

    h-index

1–5