========================== PUBLIcations prior to 1989 ========================== Vichnevetsky, R., "The Optimization of Non-Linear Control Systems" (in French). Proceedings of the Belgian Academy of Sciences - Vol. XLIV, 1958. Vichnevetsky, R., "Generation of Random Length Rectangular Signals" (in French). Proceedings of the International Assoc. for Analog Computation, 1959. Vichnevetsky, R., "Analog Computers and Their Use in Industry" (in French), La Technique Moderne, Vol. LI, 1959. Vichnevetsky, R., @dq"Use of Analog Computers in the Oil Industry" (in French). Proceedings of the French Association of Oil Technicians, o. 138, 1959. Vichnevetsky, R., "Computing Techniques in Transient and Steady State Study of Nuclear Reactors" (in French). Proceedings of the International Seminar on Analog Techniques in Nuclear Engineering, Brussels, 1959. Vichnevetsky, R., "Application of the Analogue Computer in the Study of the Esterification of Terephthalic Acid" (in co-authorship with Rijnsdorp and van de Vussen). Proceedings of the International Seminar on Analogue Computation Applied to the Study of Chemical Processes, Brussels, 1960. Vichnevetsky, R., "Les Implications de Developments Modernes du Calcul Analogique", L'Onde Electrique, No. 406, Janvier 1961. Vichnevetsky, R., "A New Method of Analyzing the Truncation Error in the Finite Difference Representation of Partial Differential Operators." Proceedings of the Third International Analog Computation Meeting at Opatija, 1961, Published by the European Academic Press, Brussels; Reprinted in @i[SIMULATION], March 1965. Vichnevetsky, R., "Research in Tri-Dimensional Simulation of Nuclear Reactors" (in co-authorship with Cligiuri, Claes and d'Hoop) (in French). Proceedings of the Third International Analog Computation Meeting at Opatija, 196l, Published by European Academic Press, Brussels. Vichnevetsky, R., "An Extension of a Theorem of Linear Circuit Theory to Discontinuous Delay Simulators", AICA Proceedings, Vol. 4, October 1962. Vichnevetsky, R., "Dynamic Programming and Hybrid Computation" (in co-authorship with J.P. Waha), AICA Proceedings, Vol. 5, April 1963. Vichnevetsky, R., "The Use of the Impulse Method for the Calibration of Band Pass Filters", AICA Proceedings, Vol. 5, April 1963. Vichnevetsky, R., "The Use of On-Line Digital Computers in Process Control", (in co-authorship with J. Auricoste). Chapter in book: @u[Progress in Control Engineering], Publisher, Heywood and Company, Ltd., London, 1963. Vichnevetsky, R., "On-Line Optimization of Semi-Continuous Processes." Proceedings of the Tenth Electronics Congress, Rome Italy, June 1963. Vichnevetsky, R., "Analog Computer Simulation of a Time Dependent Delay Using the Concept of Generalized Transfer Function," AICA Proceedings, April 1964. Vichnevetsky, R.,"Der Prozessrechner in der Modernen Mess - Und Regelungstechnik," (in co-authorship with H.H. Flum and D.J. Fraade), Regelungstechnik - 12 (1964) Part 2, pp. 45-96. Vichnevetsky, R., "Errr Analysis in the Computer Simulation of Dynamic Systems", IEEE Transactions on Electronic Computers, Vol. EC-16, No. 4, August 1967. Vichnevetsky, R., @dq"A New Stable Computing Method for the Serial Hybrid Computer Integration of Partial Differential Equations." Proceedings of the 1968 AFIPS Sprin Joint Computer Conference, Vol. 32, Publisher, Thompson Book Co., 1968. Vichnevetsky, R., "Application of Hybrid Computers to the Integration of Partial Differential Equations of the First and Second Order." Proceedings, 1968 IFIP Congress, Edinburgh, Scotland, August 1968, Publishers - North-Holland Publishing Co., Amsterdam, The Netherlands, 1969. Vichnevetsky, R., "Analog/Hybrid Solution of Partial Differential Equations in the Nuclear Industry." AICA International Symposium on Analog/Hybrid Computation Applied to Nuclear Energy, Versailles, France, September 1968, reprinted in @i[SIMULATION], Vol. 11, No. 6, December 1968. Vichnevetsky, R.,, "Hybrid Solution of Partial Differential Equations in Nuclear Plant Simulation: A Review", Invited Paper. Proceedings, Conference on the Effective Use of Computers in the Nuclear Industry held at the University of Tennessee, April 1969, pp. 369-390. Vichnevetsky, R., "Generalized Finite Difference Approximations for the Parallel Solution of Initial Value Problems", @i[SIMULATION], Vol. 12, No. 5, May 1969. Vichnevetsky, R., "Stability Contours for the Analysis of Analog/Digital Hybrid Simulation Loops." Proceedings, 1969 Spring Joint Computer Conference, AFIPS Press, Vol. 34, 1969, pp. 859-866. Vichnevetsky, R., "Use of Functional Approximation Methods in the Computer Solution of Initial Value Partial Differential Equation Problems", IEEE Transactions on Computers, June 1969, Vol. C-18, No. 6. Vichnevetsky, R., "Serial Solution of Parabolic Partial Differential Equations: The Decomposition Method for Non-Linear and Space Dependent Problems," @i[SIMULATION], Vol. 13, No. 1, July 1969. Vichnevetsky, R., "Computer Integration of Hyperbolic Partial Differential Equations by a Method of Lines." Proceedings, 4th Australian Computer Conference, Adelaide, Australia, August 1969. Vichnevetsky, R., "A Computing Method for the Simulation of Non-Steady State Burning of Solid Propellants." Proceedings of the International Association for Analog Computation, January 1970. Vichnevetsky, R., "A Hybrid Computer Method for the Analysis of Time Dependent River Pollution Problems", (co-authored with A.W. Tomalesky), 1970 Spring Joint Computer Conference. Proceedings, AFIPS Press, Vol. 36, 1970. Vichnevetsky, R., "Hybrid Computer Programs for the Study of Pollution in Rivers and Estuaries", (co-authored with A.W. Tomalensky). Proceedings, 1970 Summer Computer Simulation Conference, Denver, Colorado, June 1970. Vichnevetsky, R., "The Method of Decomposition for Space Dependent Boundary Value Problems." Proceedings of the 4th Annual Princeton Conference on Information Science and Systems, Princeton University, March 1970. Vichnevetsky, R., "State of the Art in Hybrid Methods for Partial Differential Equations Survey Paper." Proceedings, AICA-IFIP International Conference on Hybrid Computation, Munich, Germany, August 31 - September 4, 1970. Vichnevetsky, R., "Generation of an Accelerated Flame Front in a Porous Propellant", (co-authored with K.K. Kuo and M. Summerfield), Paper No. 71-210, AIAA 9th Aerospace Sciences Meeting, New York, January 25-27, 1971. Vichnevetsky, R., "Incremental Method for the CSDT Hybrid Simulation of a Tubular Heat Exchanger", ACES Transactions, Vol. III, No. 3, March 1971. Vichnevetsky, R., "Spurious Wave Phenomena in Numerical Approximations of Hyperbolic Equations", (co-authored with A.W. Tomalensky). Proceedings of the 5th Annual Princeton Conference on Information Sciences & Systems, Princeton University, March 25-26, 1971. Vichnevetsky, R., "State of the Art in Hybrid Methods for Partial Differential Equations." Proceedings of the Spring Joint Computer Conference, AFIPS Press, Vol. 38, May 1971. Vichnevetsky, R., "The Method of Decomposition for Unstable Two Point Boundary Value Problems", IEEE Transactions on Computers, Vol. C-20, No. 7, July 1971. Vichnevetsky, R., "Stability Charts of Methods of Lines for Partial Differential Equations." Proceedings-Sixth Annual Princeton Conference on Informaton Science and Systems, March 1972. Vichnevetsky, R., "Numerical Solution of Optimal Operations Problems", in @u[Transactions], Computer in Education Division of ASEE, April 1973. Vichnevetsky, R., "Theory of Flame Front Propagation", (with K. Kuo and M. Summerfield), AIAA Journal, April 1973. Vichnevetsky, R., "State of the Art in Hybrid Computer Application in the Nuclear Industry", Invited Paper. Proceedings - American Nuclear Society Topical Meeting on Mathematics and Computation. Ann Arbor, Michigan, April 1973. Vichnevetsky, R., "Input Functions for the Identification of Distributed Systems", Princeton Conference on Information Science and Systems, March 1973. Vichnevetsky, R., "Physical Criteria in Computer Methods for Partial Differential Equations," Invited Paper. 7th International Meeting of AICA Prague, August 1973. Reprinted in @u[Proceedings of AICA], European Academic Press, Brussels, January 1974. Vichnevetsky, R., "Quantitative Error Analysis of Numerical Methods for Partial Differential Equations," (with K.W. Tu and J.A. Steen). Proceedings - Eighth Annual Princeton Conference on Information Science and Systems, March 1974. Vichnevetsky, R., "Computer Algorithms for Hyperbolic Equations," (with A.W. Tomalesky). Proceedings of AICA, Vol. SVI, No. 2, April 1974. Vichnevetsky, R., "Comparison of Computer Methods for Partial Differential Equations," Invited Paper. International Colloquium on Field Simulation, London, Sept. 18-20, 1974. (Printed in the Colloquium Proceedings) Vichnevetsky, R., "Modelling, Simulation and Interdisciplinary Research," (Invited). Opening Address of the AICA Symposium on Hybrid Computation in Dynamic Systems Design, Rome (Italy), November 11-14, 1974. Vichnevetsky, R., "Frequency Analysis of Finite Element and Finite Difference Methods for Initial Value Problems," (with F. De Schutter) in @i[ADVANCES IN COMPUTER METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS]. Pub. AICA, 1975. Vichnevetsky, R., "Error Waves in Finite Element and Finite Difference Methods for Hyberbolic Equations," (with B. Peiffer) in @i[ADVANCES IN COMPUTER METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS]. Pub. AICA, 1975. Vichnevetsky, R., "Flame Zone and Sub-Surface Reaction Model," (with M. Ben-Reuven, L. Caveny and M. Summerfield). Proceedings 16th International Symposium on Combustion. The Combustion Institute, Philadelphia, Pa. , pp. 1223-1233 (1976). Vichnevetsky, R., "Comments on the Derivation of Finite Element Approximations from Conservation Principles." Trans.IMACS, Vol. XVIII, No. 3, July 1976. Vichnevetsky, R., "The Impact of Computer Simulation on Applied Science, in Simulation of Systems," L. Dekker, Editor, North Holland (1976). Vichnevetsky, R., "Analog/Hybrid Computation and Digital Simulation," (with G.A. Korn), IEEE Trans. in Computers, December 1976. Vichnevetsky, R., "Mean-squared Accuracy of Numerical Approximations of Partial Differential Equations," Mathematics and Computers in Simulation, Vol. XIX, pp. 159-168, (1977). Vichnevetsky, R., Partial Differential Equations in Mathematical Modelling." Proceedings, First International Conference on Mathematical Modelling, University of Missouri (1977). Vichnevetsky, R., "Inverse Problems in Estuarine Hydrodynamics," (with B. Davidson and H. Wang) in Advances in Computer Methods for P.D.E.'s, II. IMACS (1977). Vichnevetsky, R., "Mean Square Measure of the Effects of Artificial Viscosity," (with J. Er El and T. Harlukowicz) in Advances in Computer Methods for P.D.E.'s, II. IMACS (1977). Vichnevetsky, R., "On the Difficulty of Computing Optimal Control Problems," in Simulation of Systems, I. Troch, Editor, North Holland (1978). Vichnevetsky, R., "Numerical Techniques for Estimating Manning's Coefficients for Estuarial River Systems," (with B. Davidson and H.T. Wang) in @u[Water Resources Research], 1978. Vichnevetsky, R., @dq"Stability Charts in Numerical Approximation of PDE's," in Mathematics and Computers in Simulation, Vol. 21, pp. 170-177, North-Holland, 1979. Henry, F. Vichnevetsky, R. Ahlert R.C. and Peskin, R.L., @dq"Quasi 2-Dimensional Model of Estuarine Flow," - in Advances in Computer Methods for PDE's - Pub. IMACS, 1979. Sandusky, Bellan, Ohlemiller and Vichnevetsky, "Linear Finite Elements for Problems Requiring Variable Step Size," in Combustion and Flames, Vol. 36, (1979). Vichnevetsky, R., "Stability Charts in the Numerical Approximation of Partial Differential Equations: A Review," Mathematics and Computers in Simulation, Vol. XXI, 1979, North-Holland Pub. Co. Vichnevetsky, R., "Propagation Properties of Semi-Discretizations of Hyperbolic Equations," Mathematics and Computers in Simulation, Vol. XXII, 1980, North-Holland Pub. Co. Vichnevetsky, R., "Energy and Group Velocity in Semi-Discretizations of Hyperbolic Equations," Mathematics and Computers in Simulation, Vol. XXIII, 1981, North-Holland Pub. Co. Vichnevetsky, R., "Propagation Through Numerical Mesh Refinement for Hyperbolic Equations," Mathematics and Computers in Simulation, Vol. XXIII, 1981, North-Holland Pub. Co. Vichnevetsky, R., Sciubba E. and Pak, Y., "Numerical Upstream Boundary Conditions that Reduce Spurious Reflection," in Advances in Computer Methods for Partial Differential Equations, IV - Pub. IMACS (July 1981). Davidson, B., Vichnevetsky, R. and Chella R., "Modelling and Identification of Distributed Parameters for Estuarial Flows," in Environmental Systems Analysis and Management - North-Holland/IFIP - 1982. Vichnevetsky, R., "Group Velocity and Reflection Phenomena in Numerical Approximations of Hyperbolic Equations," - Journal of the Franklin Institute, 1983. Vichnevetsky, R., "Fourier Methods in Computational Fluid and Field Dynamics," in Simulation in Engineering Sciences - Burger and Jarny (ed.) - North-Holland, 1983. Vichnevetsky, R., "New Stability Theorems Concerning One-Step Numerical Methods for Ordinary Differential Equations," - Mathematics and Computers in Simulation XXIV, 1983 - North-Holland. Vichnevetsky, R., "The Energy Flow Equations," in Mathematics and Computers in Simulation XXIV, 1984, North-Holland. Vichnevetsky, R., "Propagation and Reflection in Discrete-Space-Discrete-Time Structures." Proceedings, 1984 Conference on Information Science and Systems, Princeton University. Vichnevetsky, R., "The Mathematics of Energy Propagation in Numerical Approximations of Hyperbolic Equations," in Advances in Computer Methods for PDE's - V, Publ. IMACS, 1984. Henry, F.S., Ahlert, R.C., Peskin, R.L. and Vichnevetsky, R., "A Numerical Estuarine Flow Model", Water Resources Bulletin, Vol. 20, No. 6, December 1984. Vichnevetsky, R. and Venkatakrishnan, V., "Tensor Form of Numerical Diffusion in Multi-Dimensional Flow Computations," in Advances in Computer Methods for PDE's - V, Pub. IMACS, 1984. Vichnevetsky, R. and E.C. Pariser "Non-reflecting upwind boundaries for hyperbolic equations" Numerich Methods for(Partial Differ ntial Equations" J. Wiley and Sons. (1986) Vichnevetsky, R. Invariance theorems concerning reflection at numerical boundaries, Journal of Computational Phy ics (1986) Vichnevetsky, R. " Wave propagation analysis of difference schemes fornternational Journal for Numerical Methods in Fluids . J. Wiley & hyperbolic equations : a review" International Journal f r Numerical Me hods n F uids . J. Wiley & Sons 1987 Vichnevetsky, R. "Wave propagation and Reflection in Irregular Grids for Hyperbolic Equations" in Applied Numerical Mathematics. (North - Holland ) (1987) Vichnevetsky, R. "Quantum properties of Wave Propagation in Periodic Structures" Syst. Anal. Mod. Sim. , Akademie Verlag (DDR Acad. of Sciences) Berlin 1988 Vichnevetsky, R. "The analogy between numerical wave propagation and quantum mechanics " Computational Acoustics (editors: D. Lee, R.L. Sternberg and M. Schultz) - North Holland . (1988) Vichnevetsky, R. "An analogy between dispersive wave propagation and special relativity" Journal for Applied Mathematics and Physics(ZAMP) Birkhauser, Basel vol 40, March 1989 Vichnevetsky, R. "Quantum phenomena in numerical wave propagation" International Journal for Numerical Methods in Fluids . J. Wiley & Sons (1989) Vichnevetsky, R. "Wave propagation in periodic structures and quantum mechanics" Bulletin de l'Academie Royale de Belgique (cl. Sciences) .