Selected publications of Adi Ditkowski

•  Published and Accepted Papers
• Submitted Papers
• Ph.D. Thesis
  

Published and Accepted Papers

• L. Dascal, A. Ditkowski, N. A. Sochen
  A study of the discrete maximum principle for the Beltrami color flow.
  Journal on Mathematical Imaging and Vision.
   
• A. Ditkowski, M. Sever
  On the intersection of subspaces of incoming and outgoing waves.
  Quarterly of Applied Mathematics - accepted. 
   
  
• A. Ditkowski, G. Fibich, N. Gavish
  Efficient solution of Ax^(k)= b^(k) using A^-1
  Journal of Scientific Computing, 32(1), 29-44 (2007).
  
  
• S. Abarbanel, A. Ditkowski, A. Yefet
  Bounded-error schemes for the wave equation on complex domains.
  Journal of Scientific Computing, 26(1), 67–81 (2006).
  
  
• A. Ditkowski, D. Gottlieb
  On the Engquist-Majda absorbing boundary conditions for hyperbolic system.
  AMS Contemporary Mathematics vol. 330:
  Recent Advances in Scientific Computing and Partial Differential Equations, (2003)
  (A special refereed issue, for the 60^th birthday of Prof. Stan Osher).
  
  
• Brian W. Sheldon, Adi Ditkowski, R. Beresford, Eric Chason, Janet Rankin
  Intrinsic compressive stress in polycrystalline films with negligible grain boundary diffusion.
  Journal of Applied Physics, v.94(2), 948–957 July 15, (2003).
   
• K.H. Dridi, J.S. Hesthaven, A. Ditkowski
  Staircase-free finite-difference time-domain formulation for general materials in complex geometries.
  IEEE Transactions on antennas and propagation. 49(5), 749–756 (2001).
   
• A. Ditkowski, K.H. Dridi, J.S. Hesthaven
  Convergent Cartesian grid methods for Maxwell’s equations in complex geometries.
  Journal of Computational Physics. 170, 39-80 (2001).
   
• S. Abarbanel, A. Ditkowski, B. Gustafsson
  On error bounds of finite difference approximations to partial differential equations - temporal behavior and rate of convergence.
  Journal of Scientific Computing, 15(1), 79–116 (2000).
   
• A. Ditkowski, D. Gottlieb,B.W. Sheldon
  Optimization of chemical vapor infiltration with simultaneous powder formation.
  J. Mater. Res. 15 (12), 2695–2705 (2000).
   
• A. Ditkowski, D. Gottlieb,B.W. Sheldon
  On the mathematical analysis and optimization of chemical vapor infiltration in materials science.
  M2AN (Mathematical Modelling and Numerical Analysis), 34(2), 337–351 (2000).
   
• S. Abarbanel, A. Ditkowski
  Multi-dimensional asymptotically stable finite difference schemes for the advection- diffusion equations.
  Computers and Fluids 28, 481–510 (1999).
  (Also, ICASE report 96-47.)
   
• S. Abarbanel, A. Ditkowski
  Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes.
  Journal of Computational Physics, 133(2), 279-288 (1997).
  (Also, Multi-dimensional asymptotically stable 4^th-order accurate schemes for the dif-
  fusion equation, ICASE Report No.96–8, February 1996.)
   
• S. Cuperman,  A. Ditkowski
  Analytical solutions of the nonlinear force-free magnetic field equations.
  Astronomy and Astrophysics. 241, 646–655 (1991).

  

Submitted Papers




• A. Ditkowski, B. Libai, E. Muller
  Optimizing acquisition and retention over time.
  
  For the appendices, see: http://www.acquitention.homestead.com/.
   
  
• A. Ditkowski, Y. Harness
  High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains.
   
  
• A. Ditkowski, A. Bhandari, B. W. Sheldon
  Computing Derivatives of Noisy Signals Using Orthogonal Functions Expansions.
  

Ph.D. Thesis

 

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