Chaos in Gravitational N-Body Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400903073
Total Pages : 314 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Chaos in Gravitational N-Body Systems by : J.C. Muzzio

Download or read book Chaos in Gravitational N-Body Systems written by J.C. Muzzio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop on Chaos in Gravitational N -Body Systems was held in La Plata, Argentina, from July 31 through August 3, 1995. The School of Astronomy and Geophysics of La Plata National University, best known as La Plata Observatory, was the host institution. The Observatory (cover photo) was founded in 1883, and it has nowadays about 120 faculty members and 70 non-faculty members devoted to teaching and research in different areas of astronomy and geophysics. It was very nice to see how many people, from young students to well recognized authorities in the field, came to participate in the meeting. This audience success was due to the increasing understanding of the neces sity to gather together people from Celestial Mechanics and Stellar Dynamics to explore the problems that exist at the frontier of these two disciplines and their common interest in chaotic phenomena and integrability (the famous Argentine beef was, certainly, also an attraction!). All the papers of the present volume were refereed. Most were accepted after some revision, while some needed no change at all (compli ments to their authors!) and, sadly, a few could not be included. About half a dozen authors did not submit their contributions for publication, mainly because they were already in print elsewhere. Therefore, the special issue of Celestial Mechanics and Dynamical Astronomy includes all the invited lectures of the workshop, while the proceedings volume includes those same lectures plus the bulk of, but Bot all, the contributions to the meeting.

Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1402047061
Total Pages : 342 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems by : B.A. Steves

Download or read book Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems written by B.A. Steves and published by Springer Science & Business Media. This book was released on 2006-09-22 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

Predictability, Stability, and Chaos in N-Body Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 146845997X
Total Pages : 581 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Predictability, Stability, and Chaos in N-Body Dynamical Systems by : Archie E. Roy

Download or read book Predictability, Stability, and Chaos in N-Body Dynamical Systems written by Archie E. Roy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and Chaos in N-Body Dynamical Systems". The Institute was the latest in a series held at three-yearly inter vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail.

Chaos and Complexity in Astrophysics

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Publisher : Cambridge University Press
ISBN 13 : 9780521855341
Total Pages : 492 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis Chaos and Complexity in Astrophysics by : O. Regev

Download or read book Chaos and Complexity in Astrophysics written by O. Regev and published by Cambridge University Press. This book was released on 2006-03-23 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primer for researchers and graduate students; introduces and applies chaos techniques to specific astrophysical systems.

The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

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Publisher : CRC Press
ISBN 13 : 1420033301
Total Pages : 403 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems by : Bonnie Steves

Download or read book The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems written by Bonnie Steves and published by CRC Press. This book was released on 2019-05-07 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad the

Chaos in Astronomy

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Publisher : Springer Science & Business Media
ISBN 13 : 3540758267
Total Pages : 493 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Chaos in Astronomy by : G. Contopoulos

Download or read book Chaos in Astronomy written by G. Contopoulos and published by Springer Science & Business Media. This book was released on 2009-01-07 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference 'Chaos in Astronomy' was held in Athens on 17-20 Sept. 2007. This book contains edited refereed contributions. It offers an overview to students and newcomers entering various fields of dynamical astronomy.

Dynamical Chaos in Planetary Systems

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Publisher : Springer Nature
ISBN 13 : 3030521443
Total Pages : 376 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Dynamical Chaos in Planetary Systems by : Ivan I. Shevchenko

Download or read book Dynamical Chaos in Planetary Systems written by Ivan I. Shevchenko and published by Springer Nature. This book was released on 2020-08-31 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics.

Gravitational N-Body Simulations

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Publisher : Cambridge University Press
ISBN 13 : 9780521432726
Total Pages : 440 pages
Book Rating : 4.4/5 (327 download)

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Book Synopsis Gravitational N-Body Simulations by : Sverre J. Aarseth

Download or read book Gravitational N-Body Simulations written by Sverre J. Aarseth and published by Cambridge University Press. This book was released on 2003-10-23 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.

The Chaotic Universe

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Publisher : World Scientific
ISBN 13 : 9789810242558
Total Pages : 692 pages
Book Rating : 4.2/5 (425 download)

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Book Synopsis The Chaotic Universe by : V. G. Gurzadyan

Download or read book The Chaotic Universe written by V. G. Gurzadyan and published by World Scientific. This book was released on 2000 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume is a collection of papers on various problems in astrophysics and cosmology ? from planetary motion to the arrow of time ? that are closely linked by the common spirit, technique and methodology of chaos.

Applications of Computer Technology to Dynamical Astronomy

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Publisher : Springer Science & Business Media
ISBN 13 : 9400909853
Total Pages : 339 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Applications of Computer Technology to Dynamical Astronomy by : P. Kenneth Seidelmann

Download or read book Applications of Computer Technology to Dynamical Astronomy written by P. Kenneth Seidelmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 109th Colloquium of the International Astronomical Union, held in Gaithersburg, Maryland, 27-29 July, 1988

Observational Manifestation of Chaos in Astrophysical Objects

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Publisher : Springer Science & Business Media
ISBN 13 : 9401002479
Total Pages : 140 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Observational Manifestation of Chaos in Astrophysical Objects by : Alexei Fridman

Download or read book Observational Manifestation of Chaos in Astrophysical Objects written by Alexei Fridman and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 2000 in the Lomonosov Moscow State University the first scientific conference dedicated to chaos in the real astronomical systems was held. The most prominent astrophysisists - specialist in the field of stochastic dynamics - attended the conference. A broad scope of the problems related to the observed manifes tations of chaotic motions in galactic and stellar objects, with the involvement of basic theory and numerical modeling, were addressed. The idea (not so obvious, as we believe, to many astrophysicists) was to show that, while great progress in the field of stochastic mechanics was accomplished, the science of chaos in actually observed systems is only just being born. Basically, the situation described prompted the organizers to hold the meeting in order to discuss chaotic processes in real systems. It seemed worthwhile to begin these introductory remarks with a brief descrip tion of some events that preceeded the conference. Since actually existing systems are the subject of the natural sciences, and in the latter experiments play the key role, we shall begin our account with the experimental results.

Chaotic Dynamics in Planetary Systems

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Publisher : Springer Nature
ISBN 13 : 3031458168
Total Pages : 176 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Chaotic Dynamics in Planetary Systems by : Sylvio Ferraz-Mello

Download or read book Chaotic Dynamics in Planetary Systems written by Sylvio Ferraz-Mello and published by Springer Nature. This book was released on 2023-12-31 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems and their application to astronomical systems. It results from graduate courses given by the author over the years both at university and at several international summer schools. Along the book surfaces of section, Lyapunov characteristic exponents, frequency maps, MEGNO, dense grid maps, etc., are presented and discussed in connection with the applications. The initial chapter is devoted to the presentation of the main ideas of the chaotic dynamics of conservative systems in plain language so that they can be accessible to a wide range of professionals and students of physical sciences. The applications are mainly related to the motions in the solar system and extrasolar planetary systems. Another chapter is devoted to the applications to asteroids showing how the asteroidal belt is sculpted by chaos and resonances. The contrasting existence of gaps in the distribution of the asteroids and groups of asteroids in resonances is thoroughly discussed. The interest in applications to planetary systems is growing since the discovery of systems of resonant planets around some stars of the solar neighborhood. Exoplanets added a lot of cases to a problem that was before restricted to the planets of our solar system. The book includes an account of results already existing about compact systems.

Reports on Astronomy

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Publisher : Springer Science & Business Media
ISBN 13 : 9401157626
Total Pages : 584 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Reports on Astronomy by : Immo Appenzeller

Download or read book Reports on Astronomy written by Immo Appenzeller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: IAU Transactions are published as a volume corresponding to each General Assembly. Volume A is produced prior to the Assembly and contains Reports on Astronomy, prepared by each Commission President. The intention is to summarize the astronomical results that have affected the work of the Commission since the production of the previous Reports up to a time which is about one year prior to the General Assembly. Volume B is produced after the Assembly and contains accounts of Commission Meetings which were held, together with other material. The reports included in the present volume range from outline summaries to lengthy compilations and references. Most reports are in English.

Ten Equations to Explain the Mysteries of Modern Astrophysics

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Publisher : BrownWalker Press
ISBN 13 : 1627347208
Total Pages : 204 pages
Book Rating : 4.6/5 (273 download)

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Book Synopsis Ten Equations to Explain the Mysteries of Modern Astrophysics by : Santhosh Mathew

Download or read book Ten Equations to Explain the Mysteries of Modern Astrophysics written by Santhosh Mathew and published by BrownWalker Press. This book was released on 2019-06-15 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces ten equations that transcend the boundaries of time and space. It takes readers through a journey of self-discovery where they will learn the history, science, and significance of these equations in the context of their lives. Moreover, the mathematical beauty of these equations is presented in a profoundly modest fashion to highlight the idea that equations are eternal but humans are transient. Each chapter offers readers a sublime experience and provides insights into the laws of nature that address the ever-expanding intricacy of our universe. The history of humankind, according to Franz Kafka, is the instant between two strides taken by a traveler. Therefore, what remains eternal when we finish our journey on this tiny rocky planet is our deep desire to connect with everything else in this universe. These equations capture the essence of that aspiration and remain everlasting while we continue our trivial human pursuits. These equations change the way we live and view the world and will outlast even the most enduring signs of our civilization. They have the potential to take us from planet to planet and perhaps to make us a cosmic species. They can destroy the last strand of DNA to terminate life as we know it and generate life again from the fundamental laws of nature. While these equations remain intangible, they can create a tangible world yet remain truly eternal.

Elegant Chaos

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Publisher : World Scientific
ISBN 13 : 9812838821
Total Pages : 302 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Elegant Chaos by : Julien C. Sprott

Download or read book Elegant Chaos written by Julien C. Sprott and published by World Scientific. This book was released on 2010 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Fundamentals. 1.1. Dynamical systems. 1.2. State space. 1.3. Dissipation. 1.4. Limit cycles. 1.5. Chaos and strange attractors. 1.6. Poincaré sections and fractals. 1.7. Conservative chaos. 1.8. Two-toruses and quasiperiodicity. 1.9. Largest Lyapunov exponent. 1.10. Lyapunov exponent spectrum. 1.11. Attractor dimension. 1.12. Chaotic transients. 1.13. Intermittency. 1.14. Basins of attraction. 1.15. Numerical methods. 1.16. Elegance -- 2. Periodically forced systems. 2.1. Van der Pol oscillator. 2.2. Rayleigh oscillator. 2.3. Rayleigh oscillator variant. 2.4. Duffing oscillator. 2.5. Quadratic oscillators. 2.6. Piecewise-linear oscillators. 2.7. Signum oscillators. 2.8. Exponential oscillators. 2.9. Other undamped oscillators. 2.10. Velocity forced oscillators. 2.11. Parametric oscillators. 2.12. Complex oscillators -- 3. Autonomous dissipative systems. 3.1. Lorenz system. 3.2. Diffusionless Lorenz system. 3.3. Rs̈sler system. 3.4. Other quadratic systems. 3.5. Jerk systems. 3.6. Circulant systems. 3.7. Other systems -- 4. Autonomous Conservative Systems. 4.1. Nosé-Hoover oscillator. 4.2. Nosé-Hoover variants. 4.3. Jerk systems. 4.4. Circulant systems -- 5. Low-dimension systems (D3). 5.1. Dixon system. 5.2. Dixon variants. 5.3. Logarithmic case. 5.4. Other cases -- 6. High-dimensional systems (D3). 6.1. Periodically forced systems. 6.2. Master-slave oscillators. 6.3. Mutually coupled nonlinear oscillators. 6.4. Hamiltonian systems. 6.5. Anti-Newtonian systems. 6.6. Hyperjerk systems. 6.7. Hyperchaotic systems. 6.8. Autonomous complex systems. 6.9. Lotka-Volterra systems. 6.10. Artificial neural networks -- 7. Circulant systems. 7.1. Lorenz-Emanuel system. 7.2. Lotka-Volterra systems. 7.3. Antisymmetric quadratic system. 7.4. Quadratic ring system. 7.5. Cubic ring system. 7.6. Hyperlabyrinth system. 7.7. Circulant neural networks. 7.8. Hyperviscous ring. 7.9. Rings of oscillators. 7.10. Star systems -- 8. Spatiotemporal systems. 8.1. Numerical methods. 8.2. Kuramoto-Sivashinsky equation. 8.3. Kuramoto-Sivashinsky variants. 8.4. Chaotic traveling waves. 8.5. Continuum ring systems. 8.6. Traveling wave variants -- 9. Time-delay systems. 9.1. Delay differential equations. 9.2. Mackey-Glass equation. 9.3. Ikeda DDE. 9.4. Sinusoidal DDE. 9.5. Polynomial DDE. 9.6. Sigmoidal DDE. 9.7. Signum DDE. 9.8. Piecewise-linear DDEs. 9.9. Asymmetric logistic DDE with continuous delay -- 10. Chaotic electrical circuits. 10.1. Circuit elegance. 10.2. Forced relaxation oscillator. 10.3. Autonomous relaxation oscillator. 10.4. Coupled relaxation oscillators. 10.5. Forced diode resonator. 10.6. Saturating inductor circuit. 10.7. Forced piecewise-linear circuit. 10.8. Chua's circuit. 10.9. Nishio's circuit. 10.10. Wien-bridge oscillator. 10.11. Jerk circuits. 10.12. Master-slave oscillator. 10.13. Ring of oscillators. 10.14. Delay-line oscillator

Impact of Modern Dynamics in Astronomy

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Publisher : Springer Science & Business Media
ISBN 13 : 940114527X
Total Pages : 468 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Impact of Modern Dynamics in Astronomy by : Jacques Henrard

Download or read book Impact of Modern Dynamics in Astronomy written by Jacques Henrard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modem dynamics is increasingly participating in the solution of problems raised by as tronomical observations. This new relationship is being fostered on one side by the im provements in the observations, which in recent years contributed several discoveries of new systems, such as the objects in the Kuiper belt, the pulsar and star companions, to speak only of the most striking ones, and, on the other hand, by the progresses in modem dynamics. The progresses in modem dynamics are due to two factors: the dissemination of fast computers, allowing the numerical studies of very complex systems by a large number of scientists, and the improvement in our understanding of the complex behaviour of Hamiltonian systems. KAM and Nekhorochev theories have shed a light on the subtle and surprizing interplays between regular and chaotic motions; numerical experiments and analytical approximations have shown how these peculiarities are indeed present in astronomically important systems and are instrumental in understanding their formation and evolution.

Numerical Methods in Astrophysics

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Publisher : Taylor & Francis
ISBN 13 : 1420011863
Total Pages : 344 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Numerical Methods in Astrophysics by : Peter Bodenheimer

Download or read book Numerical Methods in Astrophysics written by Peter Bodenheimer and published by Taylor & Francis. This book was released on 2006-12-13 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, a