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Handbook of Numerical Methods for Hyperbolic Problems explores the
changes that have taken place in the past few decades regarding
literature in the design, analysis and application of various
numerical algorithms for solving hyperbolic equations. This volume
provides concise summaries from experts in different types of
algorithms, so that readers can find a variety of algorithms under
different situations and readily understand their relative
advantages and limitations.
A class of finite element methods, the Discontinuous Galerkin
Methods (DGM), has been under rapid development recently and has
found its use very quickly in such diverse applications as
aeroacoustics, semi-conductor device simula tion, turbomachinery,
turbulent flows, materials processing, MHD and plasma simulations,
and image processing. While there has been a lot of interest from
mathematicians, physicists and engineers in DGM, only scattered
information is available and there has been no prior effort in
organizing and publishing the existing volume of knowledge on this
subject. In May 24-26, 1999 we organized in Newport (Rhode Island,
USA), the first international symposium on DGM with equal emphasis
on the theory, numerical implementation, and applications. Eighteen
invited speakers, lead ers in the field, and thirty-two
contributors presented various aspects and addressed open issues on
DGM. In this volume we include forty-nine papers presented in the
Symposium as well as a survey paper written by the organiz ers. All
papers were peer-reviewed. A summary of these papers is included in
the survey paper, which also provides a historical perspective of
the evolution of DGM and its relation to other numerical methods.
We hope this volume will become a major reference in this topic. It
is intended for students and researchers who work in theory and
application of numerical solution of convection dominated partial
differential equations. The papers were written with the assumption
that the reader has some knowledge of classical finite elements and
finite volume methods."
This is the thirteenth issue (Vol. 7, No. 1, July 2019) of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization. This special issue honors Shing-Tung Yau on the
occasion of his 70th birthday. Published semi-annually, the Notices
bring news, research, and presentation of various perspectives,
relevant to Chinese mathematics development and education. Readers
of the Notices will find research papers on various topics by
prominent experts from around the world, interesting and timely
articles on current applications and trends, biographical and
historical essays, profiles of important institutions of research
and learning, and more.
This is the eighteenth issue (Vol. 9, No. 2, December 2021 of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization. Published semi-annually, the Notices bring news,
research, and presentation of various perspectives, relevant to
Chinese mathematics development and education. Readers of the
Notices will find research papers on various topics by prominent
experts from around the world, interesting and timely articles on
current applications and trends, biographical and historical
essays, profiles of important institutions of research and
learning, and more.
This is the seventeenth issue (Vol. 9, No. 1, July 2021 of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization. Published semi-annually, the Notices bring news,
research, and presentation of various perspectives, relevant to
Chinese mathematics development and education. Readers of the
Notices will find research papers on various topics by prominent
experts from around the world, interesting and timely articles on
current applications and trends, biographical and historical
essays, profiles of important institutions of research and
learning, and more.
This is the twelfth issue (Vol. 6, No. 2, December 2018) of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization. Published semi-annually, the Notices bring news,
research, and presentation of various perspectives, relevant to
Chinese mathematics development and education. Readers of the
Notices will find research papers on various topics by prominent
experts from around the world, interesting and timely articles on
current applications and trends, biographical and historical
essays, profiles of important institutions of research and
learning, and more.
Handbook on Numerical Methods for Hyperbolic Problems: Applied and
Modern Issues details the large amount of literature in the design,
analysis, and application of various numerical algorithms for
solving hyperbolic equations that has been produced in the last
several decades. This volume provides concise summaries from
experts in different types of algorithms, so that readers can find
a variety of algorithms under different situations and become
familiar with their relative advantages and limitations.
This is the fifteenth issue (Vol. 8, No. 1, July 2020) of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization.Published semi-annually, the Notices bring news,
research, and presentation of various perspectives, relevant to
Chinese mathematics development and education. Readers of the
Notices will find research papers on various topics by prominent
experts from around the world, interesting and timely articles on
current applications and trends, biographical and historical
essays, profiles of important institutions of research and
learning, and more.
This book contains an expanded and smoothed version of lecture
notes delivered by the authors at the Advanced School on Numerical
Solutions of Partial Di?- ential Equations: New Trends and
Applications, which took place at the Centre de Recerca Matem atica
(CRM) in Bellaterra (Barcelona) from November 15th to 22nd, 2007.
The book has three parts. The ?rst part, by Silvia Bertoluzza and
Silvia Falletta, is devoted to the use of wavelets to derive some
new approaches in the numerical solution of PDEs, showing in
particular how the possibility of wr- ing equivalent norms for the
scale of Besov spaces allows to write down some new
methods.Thesecondpart, byGiovanniRusso,
providesanoverviewofthemodern finite-volume and finite-difference
shock-capturing schemes for systems of cons- vationandbalancelaws,
with emphasisingiving auni?ed viewofsuchschemesby identifying the
essential aspects of their construction. In the last part Chi-Wang
Shugivesageneralintroductionto thediscontinuousGalerkinmethods
forsolving some classes of PDEs, discussing cell entropy
inequalities, nonlinear stability and error estimates. The school
that originated these notes was born with the objective of p-
viding an opportunity for PhD students, recent PhD doctorates and
researchers in general in ?elds of applied mathematics and
engineering to catch up with - portant developments in the ?elds
and/or to get in touch with state-of-the-art numerical techniques
that are not covered in usual courses at graduate leve
The year 2018 marked the 75th anniversary of the founding of
Mathematics of Computation, one of the four primary research
journals published by the American Mathematical Society and the
oldest research journal devoted to computational mathematics. To
celebrate this milestone, the symposium “Celebrating 75 Years of
Mathematics of Computation” was held from November 1–3, 2018,
at the Institute for Computational and Experimental Research in
Mathematics (ICERM), Providence, Rhode Island. The sixteen papers
in this volume, written by the symposium speakers and editors of
the journal, include both survey articles and new contributions. On
the discrete side, there are four papers covering topics in
computational number theory and computational algebra. On the
continuous side, there are twelve papers covering topics in machine
learning, high dimensional approximations, nonlocal and fractional
elliptic problems, gradient flows, hyperbolic conservation laws,
Maxwell's equations, Stokes's equations, a posteriori error
estimation, and iterative methods. Together they provide a snapshot
of significant achievements in the past quarter century in
computational mathematics and also in important current trends.
This is the fourteenth issue (Vol. 7, No. 2, December 2019) of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization. Published semi-annually, the Notices bring news,
research, and presentation of various perspectives, relevant to
Chinese mathematics development and education. Readers of the
Notices will find research papers on various topics by prominent
experts from around the world, interesting and timely articles on
current applications and trends, biographical and historical
essays, profiles of important institutions of research and
learning, and more.
This is the tenth issue (Vol. 5, No. 2, December 2017) of the
Notices of the International Congress of Chinese Mathematicians (or
ICCM Notices, for short), the official periodical of the ICCM
organization. Published semi-annually, the Notices bring news,
research, and presentation of various perspectives, relevant to
Chinese mathematics development and education. Readers of the
Notices will find research papers on various topics by prominent
experts from around the world, interesting and timely articles on
current applications and trends, biographical and historical
essays, profiles of important institutions of research and
learning, and more.
This is the sixth issue (December 2015) of the Notices of the
International Congress of Chinese Mathematicians (or ICCM Notices,
for short), the official periodical of the ICCM organization.
Published semi-annually, the Notices bring news, research, and
presentation of various perspectives, relevant to Chinese
mathematics development and education. Readers of the Notices will
find research papers on various topics by prominent experts from
around the world, interesting and timely articles on current
applications and trends, biographical and historical essays,
profiles of important institutions of research and learning, and
more.
This is the fifth issue (July 2015) of the Notices of the
International Congress of Chinese Mathematicians (or ICCM Notices,
for short), the official periodical of the ICCM organization.
Published semi-annually, the Notices bring news, research, and
presentation of various perspectives, relevant to Chinese
mathematics development and education. Readers of the Notices will
find research papers on various topics by prominent experts from
around the world, interesting and timely articles on current
applications and trends, biographical and historical essays,
profiles of important institutions of research and learning, and
more.
This is the fourth issue (December 2014) of the Notices of the
International Congress of Chinese Mathematicians (or ICCM Notices,
for short), the official periodical of the ICCM organization.
Published semi-annually, the Notices bring news, research, and
presentation of various perspectives, relevant to Chinese
mathematics development and education. Readers of the Notices will
find research papers on various topics by prominent experts from
around the world, interesting and timely articles on current
applications and trends, biographical and historical essays,
profiles of important institutions of research and learning, and
more.
International Press of Boston is pleased to announce publication of
the third issue (July 2014) of its all-new Notices of the
International Congress of Chinese Mathematicians (or ICCM Notices,
for short), the official periodical of the ICCM organization. The
ICCM Notices brings news, research, and presentation of various
perspectives, relevant to Chinese mathematics development and
education. It is published semi-annually. The ICCM Notices will be
of interest to all people-whether of Chinese background or not-who
are interested in following Chinese mathematics.
International Press of Boston is pleased to announce publication of
the second issue (December 2013) of its all-new Notices of the
International Congress of Chinese Mathematicians (or ICCM Notices,
for short), the official periodical of the ICCM organization. The
ICCM Notices brings news, research, and presentation of various
perspectives, relevant to Chinese mathematics development and
education. It will be published semi-annually. The ICCM Notices
will be of interest to all people-whether of Chinese background or
not-who are interested in following Chinese mathematics.
International Press of Boston is pleased to announce publication of
the first issue (July 2013) of its all-new Notices of the
International Congress of Chinese Mathematicians (or ICCM Notices,
for short), the official periodical of the ICCM organization. The
ICCM Notices brings news, research, and presentation of various
perspectives, relevant to Chinese mathematics development and
education. It will be published semi-annually. The ICCM Notices
will be of interest to all people-whether of Chinese background or
not-who are interested in following Chinese mathematics.
This book captures the state-of-the-art in the field of Strong
Stability Preserving (SSP) time stepping methods, which have
significant advantages for the time evolution of partial
differential equations describing a wide range of physical
phenomena. This comprehensive book describes the development of SSP
methods, explains the types of problems which require the use of
these methods and demonstrates the efficiency of these methods
using a variety of numerical examples. Another valuable feature of
this book is that it collects the most useful SSP methods, both
explicit and implicit, and presents the other properties of these
methods which make them desirable (such as low storage, small error
coefficients, large linear stability domains). This book is
valuable for both researchers studying the field of
time-discretizations for PDEs, and the users of such methods.
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