Applied Mathematics and Scientific Computing - Publications

Recent Publications by the Group Members

The following listing shows recent papers by the group members that were published while at least one of the authors was at Temple University (marked in boldface). For links to the individual articles, please consult the respective faculty member's personal website (linked on the Applied Mathematics and Scientific Computing group website).

2011

  • P. Chidyagwai, I. Mishev, B. Riviere, On the coupling of finite volume and discontinuous Galerkin method for elliptic problems, J. Comput. Appl. Math., 235(8): 2193-2204, 2011.
  • Shimao Fan, Zhiyong Feng, Sheng Xiong and Wei-Shih Yang, Convergence of quantum random walks with decoherence, Phys. Rev. A., 84(4):042317, 2011.
  • Y. Farjoun, B. Seibold, An exact particle method for scalar conservation laws and its application to stiff reaction kinetics, Meshfree methods for Partial Differential Equations V, Lect. Notes Comput. Sci. Eng., 79, Griebel, Schweitzer (ed.), Springer, 105-124, 2011.
  • M. Frank, B. Seibold, Optimal prediction for radiative transfer: A new perspective on moment closure, Kinet. Relat. Models, 4(3): 717-733, 2011.
  • Y. Grabovsky, V. A. Kucher, L. Truskinovsky, Lipschitz graphs and stability of phase boundaries, Continuum Mech. Thermodyn., 23(2): 87-123, 2011.
  • Y. Grabovsky, L. Truskinovsky, Roughening instability of broken extremals, Arch. Ration. Mech. Anal., 200(1): 183-202, 2011.
  • D. B. Szyld, F. Xue, Efficient preconditioned inner solves for inexact Rayleigh quotient iteration and their connections to the single-vector Jacobi-Davidson method, SIAM J. Matrix Anal. Appl., 32: 993-1018, 2011.
  • F. Xue, Howard C. Elman, Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation, Linear Algebra Appl., 435: 601-622, 2011
  • Sheng Xiong and Wei-Shih Yang, Ruin probability in the Cramér–Lundberg model with risky investments, Stoch. Proc. Appl., 121(5): 1125-1137, 2011.
  • Xingwei Yang, D. B. Szyld, Longin Jan Latecki, Diffusion on a Tensor product graph for semi-supervised learning and interactive image segmentation, Adv. Imag. Elect. Phys., 169: 147-172, 2011.

2010

  • Y. Farjoun, B. Seibold, A rarefaction-tracking method for conservation laws, J. Eng. Math, 66(1): 237-251, 2010.
  • S. Loisel, D. B. Szyld, On the convergence of Algebraic Optimized Schwarz Methods with applications to elliptic problems, Numer. Math., 114: 697-728, 2010.
  • V. H. Moll, S. Robins, K. Soodhalter, The action of Hecke operators on hypergeometric functions, J. Austral. Math. Soc., 89: 51-74, 2010.
  • J.-C. Nave, R. R. Rosales, B. Seibold, A gradient-augmented level set method with an optimally local, coherent advection scheme, J. Comput. Phys., 229: 3802-3827, 2010.
  • B. Seibold, Performance of algebraic multigrid methods for non-symmetric matrices arising in particle methods, Numer. Linear Algebra Appl., 17: 433-451, 2010.
  • V. Simoncini, D. B. Szyld, On the field of values of oblique projections, Linear Algebra Appl., 433: 810-818, 2010.
  • V. Simoncini, D. B. Szyld, Interpreting IDR as a Petrov-Galerkin method, SIAM J. Sci. Comput., 32: 1898-1912, 2010.

2009

  • A. Elhashash, U. G. Rothblum, D. B. Szyld, Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property, Electron. J. Linear Algebra, 19: 90-97, 2009.
  • A. Elhashash, D. B. Szyld, Two Characterizations of Matrices with the Perron-Frobenius Property, Numer. Linear Algebra Appl., 16: 863-869, 2009.
  • Y. Farjoun, B. Seibold, An exactly conservative particle method for one dimensional scalar conservation laws, J. Comput. Phys., 228(14): 5298-5315, 2009.
  • M. R. Flynn, A. R. Kasimov, J.-C. Nave, R. R. Rosales, B. Seibold, Self-sustained nonlinear waves in traffic flow, Phys. Rev. E, 79(5): 056113, 2009.
  • Y. Grabovsky, Exact relations for effective conductivity of fiber reinforced conducting composites with Hall effect via a general theory, SIAM J. Math. Anal., 41(3): 973-1024, 2009.
  • Y. Grabovsky, An application of the general theory of exact relations to fiber-reinforced conducting composites with Hall effect, Mechanics of Materials., 41(4): 456-462, 2009
  • Y. Grabovsky, T. Mengesha, Sufficient conditions for strong local minima: the case of C^1 extremals, Trans. Amer. Math. Soc., 361(3): 1495-1541, 2009
  • S. Loisel, D. B. Szyld, On the convergence of Optimized Schwarz Methods by way of Matrix Analysis, Domain Decomposition Methods in Science and Engineering XVIII, M. Bercovier, M. Gander, R. Kornhuber, O. B. Widlund, (edt.), Lecture Notes in Computational Science and Engineering, 70, Springer, 363-370, 2009.
  • S. Loisel, D. B. Szyld, A maximum principle for L2-trace norms with an application to Optimized Schwarz Methods, Domain Decomposition Methods in Science and Engineering XVIII, M. Bercovier, M. Gander, R. Kornhuber, O. B. Widlund, (edt.), Lecture Notes in Computational Science and Engineering, 70, Springer, 193-200, 2009.
  • B. Seibold, M. Frank, Optimal prediction for moment models: Crescendo diffusion and reordered equations, Continuum Mech. Thermodyn., 21(6): 511-527, 2009.

2008

  • J. Arnal, V. Migallón, J. Penadés, D. B. Szyld, Newton Additive and Multiplicative Schwarz Iterative Methods, IMA J. Numer. Anal., 28: 143-161, 2008.
  • X. Du, D. B. Szyld, A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES, Numer. Linear Algebra Appl., 15: 547-557, 2008.
  • X. Du, D. B. Szyld, Inexact GMRES for singular linear systems, BIT, 48: 511-531, 2008.
  • A. Elhashash, D. B. Szyld, Generalizations of M-matrices which may not have a nonnegative inverse, Linear Algebra Appl., 249: 2435-2450, 2008.
  • A. Elhashash, D. B. Szyld, On general matrices having the Perron-Frobenius property, Electron. J. Linear Algebra, 17: 389-413, 2008.
  • D. Fritzsche, V. Mehrmann, D. B. Szyld, E. Virnik, An SVD approach to identifying meta-stable states of Markov chains, Electron. Trans. Numer. Anal., 29: 46-69, 2008.
  • A. Frommer, R. Nabben, D. B. Szyld, Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods, SIAM J. Matrix Anal. Appl., 30: 925-938, 2008.
  • S. Loisel, R. Nabben, D. B. Szyld, On hybrid multigrid-Schwarz algorithms, J. Sci. Comput., 36: 165-175, 2008.
  • V. Simoncini, D. B. Szyld, New conditions for non-stagnation of minimal residual methods, Numer. Math., 109: 477-487, 2008.

2007

  • S. Chang, L. Chen, W.-S. Yang, Spanning trees on the Sierpinski gasket, J. Stat. Phys., 126(3): 649-667, 2007.
  • D. Fritzsche, A. Frommer, D. B. Szyld, Extensions of certain graph-based algorithms or preconditioning, SIAM J. Sci. Comput., 29: 2144-2161, 2007.
  • Y. Grabovsky, T. Mengesha, Direct approach to the problem of strong local minima in Calculus of Variations, Calc. Var. Partial Differential Equations, 29(1): 59-83, 2007.
  • Y. Grabovsky, L. Truskinovsky, The flip side of buckling, Contin. Mech. Thermodyn., 19(3-4): 211-243, 2007.
  • M. Sarkis, D. B. Szyld, Optimal left and right additive Schwarz preconditioning for Minimal Residual Methods with Euclidean and energy norms, Comput. Methods Appl. Mech. Engrg., 196: 1612-1621, 2007.
  • V. Simoncini, D. B. Szyld, Recent computational developments in Krylov Subspace Methods for linear systems, Numer. Linear Algebra Appl., 14: 1-59, (2007)
  • W.-S. Yang, C. Liu, K. Zhang, A path integral formula with applications to quantum random walks in Z^d, J. Phys. A: Math. Theor., 40: 8487-8516, 2007.

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