1. H. Nishikawa, A First-Order System Approach for Diffusion Equation. II. Advection-Diffusion Problems, in preparation

2. H. Nishikawa, Adaptive-Quadrature Fluctuation-Splitting Schemes for the Euler Equations, in International Journal for Numerical Methods in Fluids, 57, pp. 1-12, 2008 Download (at Journal HP)

3. H. Nishikawa and K. Kitamura, Very Simple, Carbuncle-Free, Boundary-Layer-Resolving, Rotated-Hybrid Riemann Solvers, Journal of Computational Physics, 227, pp. 2560-2581, 2008 draft_pdf or Download (ScienceDirect)

4. H. Nishikawa, A First-Order System Approach for Diffusion Equation. I. Second-Order Residual Distribution Schemes, Journal of Computational Physics, 227, pp. 315-352, 2007 draft_pdf or Download (ScienceDirect)

5. H. Nishikawa, Multigrid Third-Order Least-Squares Solution of Cauchy-Riemann Equations on Unstructured Triangular Grids, International Journal for Numerical Methods in Fluids, 53: 443-454, 2007 pdf or Download (at Journal HP)

6. H. Nishikawa and P. L. Roe, High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equation, ICCFD in Gent, Belgium, July 2006. pdf

7. F. Ismail, P. L. Roe, and H. Nishikawa, A Proposed Cure to the Carbuncle Phenomenon, ICCFD in Gent, Belgium, July 2006. pdf

8. H. Nishikawa, Higher-Order Discretizatoin of Diffusion Terms in Residual Distribution Methods, in 34th VKI CFD Lecture Series, Very High Order Discretization Methods, VKI Lecture Series, 2005.

9. H. Nishikawa and P. L. Roe, Adaptive Quadrature Fluctuation-Splitting Schemes for the Euler Equations, AIAA Paper 2005-4865, 17th AIAA CFD Conference, Toronto, June 2005. pdf

10. H. Nishikawa and P. L. Roe, Towards High-Order Fluctuation-Splitting Schemes for Navier-Stokes Equations , AIAA Paper 2005-5244, 17th AIAA CFD Conference, Toronto, June 2005. pdf

11. P. L. Roe, H. Nishikawa, F. Ismail and L. Scalabrin, On Carbuncles and Other Excrescences , AIAA Paper 2005-4872, 17th AIAA CFD Conference, Toronto, June 2005. pdf

12. H. Koyama and H. Nishikawa, Numerical Method for thermally unstable hydrodynamics, Fluid Dynamics Conference in Japan, August 2004 (in Japanese).pdf

13. H. Nishikawa and P. L. Roe, On High-Order Fluctuation-Splitting Schemes for Navier-Stokes Equations, ICCFD in Toronto, July 2004. pdf

14. H. Nishikawa, Multigrid Third-Order Least-Squares Solution of Cauchy-Riemann Equations on Unstructured Triangular Grids, ICCFD in Toronto, July 2004. pdf

15. H. Nishikawa, On Simple Wave Solutions, Unpublished, May 2003. pdf

16. H. Nishikawa and B. van Leer, Optimal Multigrid Convergence by Elliptic/Hyperbolic Splitting, J. Comput. Phys., 190, pp. 52-63, 2003. pdf or Download (ScienceDirect)

17. H. Nishikawa, P. L. Roe, Y. Suzuki, B. van Leer, A General Theory of Local Preconditioning and Its Application to the 2D Ideal MHD Equations, AIAA Paper 2003-3704, 16th AIAA Computational Fluid Dynamics Conference, Orlando, June 2003. pdf

18. P. L. Roe, K. Kabin and H.Nishikawa, Toward A General Theory of Local Preconditioning, AIAA Paper 2002-2956, 32nd AIAA Fluid Dynamics Conference, St. Louis, June 2002. pdf

19. H. Nishikawa and B. van Leer, Optimal Multigrid Convergence by Elliptic/Hyperbolic Splitting, AIAA Paper 2002-2951, 32nd AIAA Fluid Dynamics Conference, St. Louis, June 2002. pdf

20. P. L. Roe and H. Nishikawa, Adaptive Grid Generation by Minimising Residuals, Int. J. Numer. Meth. Fluids 2002; 40: 121-136. pdf or Download (at Journal HP)

21. H. Nishikawa, M. Rad, and P. L. Roe, A Third-Order Fluctuation-Splitting Scheme That Preserves Potential Flow, AIAA Paper 2001-2595, 15th AIAA Computational Fluid Dynamics Conference, Anaheim, June 2001. pdf

22. P. L. Roe and H. Nishikawa, Adaptive Grid Generation by Minimising Residuals, ICFD Conference on Numerical Methods in Fluid Dynamics, Oxford, U.K., 2001. pdf

23. Hiroaki Nishikawa, On Grids and Solutions from Residual Minimization, PhD Thesis, Aerospace Engineering, University of Michigan, 2001. Abstract(pdf) Single-Sided(pdf) Double-Sided(pdf)

24. H. Nishikawa, M. Rad, and P.L. Roe ,Grids and Solutions from Residual Minimisation, First International Conference on CFD, Kyoto, Springer, 2000 pdf

25. M. Rad, H. Nishikawa and P.L. Roe ,Some Properties of Residual Distribution Schemes for Euler Equations, First International Conference on CFD, Kyoto, Springer, 2000 pdf

26. H. Nishikawa,Second-Order L2 Error Estimates for Piecewise Linear Approximation in One Dimension, Unpublished, 1998 pdf

I'm not smart. I'm just trying to be creative.

Katate Masatsuka, Japanese philosopher