Biography
Michael Sever

Education

1958–61 Massachusetts Institute of Technology (B.S. degree in Physics, 1961)

1962–67 Columbia University (N.S.F. Graduate Fellowship, 1962–65)

1963 M.A. degree in Physics

1968 Ph.D. degree in Physics

1969–72 Courant Institute, New York University


Publications


Books

Analysis of Mathematical Models of Semiconductor Devices, Boole Press, Dublin, 1983.

Ordinary Differential Equations, Boole Press, Dublin, 1987.


Book Chapter
Basic Theory of Stationary Numerical Models, in: Process and Device Simulation, W. Engl, ed., North Holland, Amsterdam, 1985, pp. 159–194.


Journal Articles
1. A. G. W. Cameron and M. Mock, Stellar accretion and X-ray emission, Nature 215 (1969), 464–466.


2. S. M. Hu and M. Mock, Vacanci transients during impurity diffusion in semiconductors, Physical Review B 1 (1970), 2582–2586.


3. M. Mock, Numerical analysis of a nonlinear diffusion problem, Journal of the Association for Computing Machinery 18 (1971), 373–380.


4. M. Mock, On the convergence of Gummel’s numerical algorithm, Solid State Electronics 15 (1972), 1–4.


5. M. Mock, On equations describing steady-state carrier distributions in a semiconductor device, Communications on Pure and Applied Mathematics 25 (1972), 781–792.


6. M. Mock, A two-dimensional numerical model of the insulated gate fieldeffect transistor, Solid State Electronics 16 (1973), 601–609.


7. M. Mock, On the computation of semiconductor device current characteristics by finite difference methods, Journal of Engineering Mathematics 7 (1973), 193–205.


8. M. Mock, Transport equations in heavily doped silicon, and the current gain of a bipolar transistor, Solid State Electronics 16 (1973), 1251–1259.


9. M. Mock, An initial-value problem from semiconductor device theory, SIAM Journal on Mathematical Analysis 5 (1974), 597–612.


10. M. Mock, Solution of a nonlinear two point boundary value problem, Numerische Mathematik 23 (1974), 37–46.


11. M. Mock, Asymptotic behavior of solutions of transport equations for semiconductor devices, Journal of Mathematical Analysis and Applications 49 (1975), 215–225.


12. M. Mock, On heavy doping effects and the injectino efficiency of silicon transistors, Solid State Electronics 17 (1974), 819–824.^p13. M. Mock, On a sufficiently fine mesh for quasilinear elliptic equations, Communications on Pure and Applied Mathematics 27 (1974), 351–360.


14. M. Mock, A global a posteriori error estimate for quasilinear elliptic problems, Numerische Mathematik 24 (1975), 53–61.


15. M. Mock, Projection methods with different trial and test spaces, Mathematics of Computation 30 (1976), 400–416.


16. M. Mock, Explicit finite element schemes for first order symmetric hyperbolic systems, Numerische Mathematik 26 (1976), 367–378.


17. M. Mock, Time discretization of a nonlinear initial value problem, Journal of Computational Physics 21 (1978), 20–37.


18. M. Mock, Discrete shocks and genuine nonlinearity, Michigan Mathematical Journal 25 (1978), 131–146.


19. M. Mock, On the fourth order dissipation and single conservation laws, Communications on Pure and Applied Mathematics 29 (1976), 383–388.


20. M. Mock, Some higher order difference schemes enforcing an entropy inequality, Michigan Mathematical Journal 25 (1978), 323–344.


21. T. Toyabe, K. Yamaguchi, S. Asai and M. Mock, A numerical model of avalanche breakdown in Mosfet, IEEE Transactions of Electron Devices ED-25 (1978), 825–832.


22. T. Toyabe, K. Yamaguchi, S. Asai, M. Kodera, K. Ujiie and M. Mock, Rapid computation and extended analyzing function in two-dimensional numerical analysis of

mosfets, Transactions of the Institute of Electronics and Communication Engineers of Japan (in Japanese)


23. M. Mock and P. D. Lax, The computation of discontinuous solutions of linear hyperbolic equations, Communications on Pure and Applied Mathematics 31 (1978), 423–430.


24. M. Mock, The half-line boundary value problem for uxxx = f(u), Journal of Differential Equations 32 (1979), 258–273.


25. T. Toyabe, K. Ujiie, T. Okabe, M. Nagata and M. Mock, Method and application of a two-dimensional analysis L, Transactions of the Institute of Electronics and Communications Engineers of Japan 62-C (1979), 215– 222. (in Japanese)


26. M. Mock, Systems of conservation laws of mixed type, Journal of Differential Equations 37 (1980), 70-88.


27. M. Mock, A topological degree for orbits connecting critical points of autonomous systems, Journal of Differential Equations 38 (1980), 176– 191.


28. M. Mock, A time-dependent numerical model of the insulated-gate fieldeffect transistor, Solid State Electronics 24 (1981), 959–966.


29. M. Mock, On numerical simulation of coupled semiconductor devices in arbitrary space dimensions plus time, COMPEL 1 (1982), 1–5.


30. M. Mock, An example of non-uniqueness of stationary solutions in semiconductor device models, COMPEL 1 (1982), 165–174.


31. M. Mock, Analysis of a discretization algorithm for stationary continuity equations in semiconductor device models, COMPEL 2 (1983), 117–139.


32. M. Sever, Existence in the large for Reimann problems for systems of conservation laws, Transactions of the American Mathematical Society 292 (1985), 375–381.


33. M. Sever, Analysis of a discretization algorithm for stationary continuity equations in semiconductor device models. II., COMPEL 3 (1984), 137– 149.


34. M. Sever, Analysis of a discretization algorithm for stationary continuity equations in semiconductor device models. III., COMPEL 3 (1984), 187– 200.


35. M. Sever, Delaunay partitioning in three-dimensions and semiconductor models, COMPEL 5 (1986), 75–93.


36. M. Sever, A class of hyperbolic systems of conservation laws satisfying weaker conditions than genuine nonlinearity, Journal of Differential Equations 73 (1988), 1–29.


37. M. Sever, The apparent numerical stability of unphysical shocks, COMPEL 5 (1986), 207–213.


38. M. Sever, Analysis of a discretization algorithm for time-dependent semiconductor models, COMPEL 6 (1987), 171–189.


39. M. Sever, Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws, Communications on Pure and Applied Mathematics 42 (1989), 173–183. correction C.P.A.M. 43 (1990), 295–297.


40. M. Sever, The rate of total entropy generation for Reimann problems, Journal of Differential Equations 87 (1990), 115–143.


41. M. Sever, Hyperbolic systems of conservation laws with some special invariance properties, Israel Journal of Mathematics 75 (1991), 81–104.


42. M. Sever, Separation of solutions of quasilinear hyperbolic systems in the neighborhood of a large discontinuity, Communications in Partial Differential Equations 17 (1992), 1165–1184.


43. M. Sever, Coupled device-circuit simulation using energy-momentum device models, COMPEL.


44. M. Sever, Hyperbolic systems of conservation laws with a strict Reimann invariant, Journal of Differential Equations 122 (1995), 239–266.


45. M. Sever, Estimate of the time rate of entropy dissipation for systems of conservation laws, Journal of Differential Equations 130 (1996), 127–141.


46. M. Sever, A variational formulation of symmetric systems of conservation laws, Houston Journal of Mathematics 3 (2000), 561–573.


47. M. Sever, An existence theorem in the large for zero pressure gas dynamics, Differential and Integral Equations 14 (2001), 1077–1092.


48. M. Sever, Exchange of conserved quantities, shock loci and Reimann Problems, Mathematical Methods in the Applied Sciences 24 (2001), 969–992.


49. M. Sever, Exchange of conserved quantities in nonhyperbolic systems—an example, Proceedings of the American Mathematical Society 129 (2001), 3671–3681.


50. M. Sever, A class on nonlinear, nonhyperbolic systems of conservation laws with well-posed initial value problems, Journal of Differential Equations 180 (2001), 238–271.


51. M. Sever, Vicious structure of singular shocks, Nonlinearity 15 (2002), 705–725.


52. R. Sanders and M. Sever, The numerical study of singular shocks regularized by small viscosity, Journal of Scientific Computing 19 (2003), 385–404.


53. B. Keyfitz and M. Sever, The Cauchy problem for a model equation with a singular shock, to be published.


54. M. Sever, Distribution solutions of nonlinear systems of conservation laws, Memoirs of the American Mathematical Society Vol. 889, AMS, Providence, RI, 2007.


55. B. Keyfitz, R. Sanders and M. Sever, Lack of hyperbolicity in the twofluid model for two-phase incompressible flow, Discrete and Continuous Dynamical Systems. Series B. 3 (2003), 541–563.


56. M. Sever, A model of discontinuous, incompressible two-phase flow, Journal of Mathematical Fluid Mechanics 10 (2008), 203–223.


57. B. L. Keyfitz, M. Sever and F. Zhang, Viscous singular shock structure for a nonhyperbolic two-fluid model, Nonlinearity 17 (2004), 1731–1747.


58. M. Sever, Solutions of a nonhyperbolic pair of balance laws, Mathematical Modeling and Numerical Analysis 39 (2005), 37–58.


59. M. Sever, On initial-boundary value problems for symmetric nonhyperbolic systems of partial differential equations, Continuum Mechanics and Thermodynamics, to appear.


60. M. Sever, An existence theorem for some semilinear elliptic systems, Journal of Differential Equations 226 (2006), 572–593. Corrections in Journal of Differential Equations 236 (2007), 604–606.


61. M. Sever, Extensions of hyperbolic systems of balance laws, Continuum Mechanics and Thermodynamics 17 (2006), 453–468.


62. A. Ditkowski and M. Sever, On the intersection of subspaces of incoming and outgoing waves, Quarterly of Applied Mathematics 66 (2008), 1–26.


63. M. Sever, Admissibility of self-similar weak solutions of systems of conservation laws in two space variables and time, Journal of Hyperbolic Differential Equations 6 (2009), 433–481.


64. M. Sever, Large-data solutions of a model system for singular shocks, Journal of Hyperbolic Differential Equations, 7 (2010), 775–840.


65. M. Sever, Approximation as attempt to infer nonexistence of weak solutions of Reimann problems for the “two-dimensional p-system”, International Journal of Pure and Applied Mathematics 61 (2010), 437–466.


66. M. Sever, On systems of conservation laws with rotation and Galilean symmetry, Journal of Differential Equations 252 (2012), 5361–5389.


67. M. Sever, Canonical form and symmetry group of systems of conservation laws, Journal of Differential Equations 255 (2013), 1607–1645.


68. M. Sever, Nonrelativistic Euler-Maxwell systems, Journal of Differential Equations 256 (2014), 2711–2738.


69. M. Sever, High wave number instability of multidimensional shock fronts

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