| Numerical Computation of Nonlinear Waves |
| Organizer: |
| S. V. Tsynkov ( North Carolina State University, U.S.A. ) |
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| The minisymposium aims at presenting a number of recent advances in the field of numerical simulation of waves, with the emphasis on nonlinear wave phenomena. It will bring together the researchers working in different subject areas, and will hopefully foster an efficient exchange of ideas and approaches. The speakers will cover a range of topics that include singular solutions of the standing-ring type for a variety of nonlinear evolution equations, such as the nonlinear Schrödinger equation, modeling of underground explosions and the interaction of the blast waves with buried structures, spectral element methods for the Wigner equation in quantum transport, nondeteriorating schemes for computing the solutions of Maxwell's equations over long time intervals, compact high order schemes for the variable coefficient Helmholtz equation, and others. |
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| List of Speakers: |
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| 1) Wei Cai ( University of North Carolina, U.S.A. ) |
| "Adaptive conservative cell average spectral element methods
for transient Wigner equation in quantum transport" |
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| 2) V.R. Feldgun ( Technion-Israel Institute of Technology, Israel ) |
| "Numerical Simulation of Underground Explosions near a Buried Structure" |
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| 3) Z. Huang ( Tsinghua University, China ) |
| "A tailored finite point method for high frequency waves in heterogeneous media" |
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| 4) S. V. Petropavlovsky ( Finance Academy, Russia ) |
| "Quasi-Lacunae of Maxwell's Equations and their Use for Long-Time Computations" |
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| 5) S. Tsynkov ( North Carolina State University, U.S.A. ) |
| "Compact high order schemes for the Helmholtz equation with
variable coefficients" |
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| 6) J. Yang ( University of Vermont, U.S.A. ) |
| "Newton-conjugate-gradient methods for computations of solitary waves and their linear-stability eigenvalues" |
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| 7) J. Yuan ( Providence University, Taiwan ) |
| "A dual-Petrov-Galerkin method for the fifth-order Korteweg-de Vries type equations" |
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| 8) Z. Feng ( University of Texas Pan American, U.S.A. ) |
| "Nonlinear wave phenomena to Korteweg-de Vries Burgers-type equation" |
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