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initial-boundary value problem

Description: An initial-boundary value problem is a differential equation problem specified by initial data in time and boundary conditions over a spatial domain.
OpenAlex ID: keywords/initial-boundary-value-problem
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
1966 · Kane Yee · IEEE Transactions on Antennas and Propagation · 14,998
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework
1989 · Bernardo Cockburn, Chi-Wang Shu · Mathematics of Computation · 1,961
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Finite difference schemes and partial differential equations
1991 · Choice Reviews Online · 1,889
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
1994 · Giovanni P. Galdi · Springer Tracts in Natural Philosophy · 1,653
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
1990 · Bernardo Cockburn, Suchung Hou, et al. · Mathematics of Computation · 1,442
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Thermoelasticity with Second Sound: A Review
1986 · D. S. Chandrasekharaiah · Applied Mechanics Reviews · 953
Finite difference approximations for two-sided space-fractional partial differential equations
2005 · Mark M. Meerschaert, Charles Tadjeran · Applied Numerical Mathematics · 940
Accurate Projection Methods for the Incompressible Navier–Stokes Equations
2001 · David L. Brown, Ricardo Cortez, et al. · Journal of Computational Physics · 889
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Mathematical Problems in Elasticity and Homogenization
1992 · Studies in mathematics and its applications · 828
Saddle points and instability of nonlinear hyperbolic equations
1975 · L. E. Payne, D. H. Sattinger · Israel Journal of Mathematics · 818
Initial boundary value problems for hyperbolic systems
1970 · Heinz‐Otto Kreiss · Communications on Pure and Applied Mathematics · 795
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
1983 · Akitaka Matsumura, Takaaki Nishida · Communications in Mathematical Physics · 779
Diffusion, Self-Diffusion and Cross-Diffusion
1996 · Yuan Lou, Wei-Ming Ni · Journal of Differential Equations · 704
Mechanics of Mixtures
1995 · K R Rajagopal, L Tao · Series on advances in mathematics for applied sciences · 679
Initial-Boundary Value Problems and the Navier-Stokes Equations
1989 · Pure and applied mathematics · 663
First order quasilinear equations with boundary conditions
1979 · C. Bardos, A. Y. Leroux, et al. · Communications in Partial Differential Equations · 653
A unified transform method for solving linear and certain nonlinear PDEs
1997 · A. S. Fokas · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 625
Initial Boundary Value Problems in Mathematical Physics
1986 · Rolf Leis · Vieweg+Teubner eBooks · 590
A second-order accurate numerical approximation for the fractional diffusion equation
2005 · Charles Tadjeran, Mark M. Meerschaert, et al. · Journal of Computational Physics · 579
Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
1977 · A.V. Kazhikhov, V.V. Shelukhin · Journal of Applied Mathematics and Mechanics · 534
Blow-up of positive solutions of semilinear heat equations
1985 · Avner Friedman · Indiana University Mathematics Journal · 531
Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
1987 · A S Kalashnikov · Russian Mathematical Surveys · 526
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Boundary Value Problems in Mechanics of Nonhomogeneous Fluids
1990 · Studies in mathematics and its applications · 497
Group Velocity in Finite Difference Schemes
1982 · Lloyd N. Trefethen · SIAM Review · 487
Physical Model for Steel Corrosion in Concrete Sea Structures—Theory
1979 · Zdeněk P. Bažant · Journal of the Structural Division · 475
Works count: 19,310
Citation count: 218,600
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