Articles tagged with Computational Mathematics
Comprehensive exploration of living organisms, biological systems, and life processes across all scales from molecules to ecosystems. Encompasses cutting-edge research in biology, genetics, molecular biology, ecology, biochemistry, microbiology, botany, zoology, evolutionary biology, genomics, and biotechnology. Investigates cellular mechanisms, organism development, genetic inheritance, biodiversity conservation, metabolic processes, protein synthesis, DNA sequencing, CRISPR gene editing, stem cell research, and the fundamental principles governing all forms of life on Earth.
Comprehensive medical research, clinical studies, and healthcare sciences focused on disease prevention, diagnosis, and treatment. Encompasses clinical medicine, public health, pharmacology, epidemiology, medical specialties, disease mechanisms, therapeutic interventions, healthcare innovation, precision medicine, telemedicine, medical devices, drug development, clinical trials, patient care, mental health, nutrition science, health policy, and the application of medical science to improve human health, wellbeing, and quality of life across diverse populations.
Comprehensive investigation of human society, behavior, relationships, and social structures through systematic research and analysis. Encompasses psychology, sociology, anthropology, economics, political science, linguistics, education, demography, communications, and social research methodologies. Examines human cognition, social interactions, cultural phenomena, economic systems, political institutions, language and communication, educational processes, population dynamics, and the complex social, cultural, economic, and political forces shaping human societies, communities, and civilizations throughout history and across the contemporary world.
Fundamental study of the non-living natural world, matter, energy, and physical phenomena governing the universe. Encompasses physics, chemistry, earth sciences, atmospheric sciences, oceanography, materials science, and the investigation of physical laws, chemical reactions, geological processes, climate systems, and planetary dynamics. Explores everything from subatomic particles and quantum mechanics to planetary systems and cosmic phenomena, including energy transformations, molecular interactions, elemental properties, weather patterns, tectonic activity, and the fundamental forces and principles underlying the physical nature of reality.
Practical application of scientific knowledge and engineering principles to solve real-world problems and develop innovative technologies. Encompasses all engineering disciplines, technology development, computer science, artificial intelligence, environmental sciences, agriculture, materials applications, energy systems, and industrial innovation. Bridges theoretical research with tangible solutions for infrastructure, manufacturing, computing, communications, transportation, construction, sustainable development, and emerging technologies that advance human capabilities, improve quality of life, and address societal challenges through scientific innovation and technological progress.
Study of the practice, culture, infrastructure, and social dimensions of science itself. Addresses how science is conducted, organized, communicated, and integrated into society. Encompasses research funding mechanisms, scientific publishing systems, peer review processes, academic ethics, science policy, research institutions, scientific collaboration networks, science education, career development, research programs, scientific methods, science communication, and the sociology of scientific discovery. Examines the human, institutional, and cultural aspects of scientific enterprise, knowledge production, and the translation of research into societal benefit.
Comprehensive study of the universe beyond Earth, encompassing celestial objects, cosmic phenomena, and space exploration. Includes astronomy, astrophysics, planetary science, cosmology, space physics, astrobiology, and space technology. Investigates stars, galaxies, planets, moons, asteroids, comets, black holes, nebulae, exoplanets, dark matter, dark energy, cosmic microwave background, stellar evolution, planetary formation, space weather, solar system dynamics, the search for extraterrestrial life, and humanity's efforts to explore, understand, and unlock the mysteries of the cosmos through observation, theory, and space missions.
Comprehensive examination of tools, techniques, methodologies, and approaches used across scientific disciplines to conduct research, collect data, and analyze results. Encompasses experimental procedures, analytical methods, measurement techniques, instrumentation, imaging technologies, spectroscopic methods, laboratory protocols, observational studies, statistical analysis, computational methods, data visualization, quality control, and methodological innovations. Addresses the practical techniques and theoretical frameworks enabling scientists to investigate phenomena, test hypotheses, gather evidence, ensure reproducibility, and generate reliable knowledge through systematic, rigorous investigation across all areas of scientific inquiry.
Study of abstract structures, patterns, quantities, relationships, and logical reasoning through pure and applied mathematical disciplines. Encompasses algebra, calculus, geometry, topology, number theory, analysis, discrete mathematics, mathematical logic, set theory, probability, statistics, and computational mathematics. Investigates mathematical structures, theorems, proofs, algorithms, functions, equations, and the rigorous logical frameworks underlying quantitative reasoning. Provides the foundational language and tools for all scientific fields, enabling precise description of natural phenomena, modeling of complex systems, and the development of technologies across physics, engineering, computer science, economics, and all quantitative sciences.
A new computational modeling framework uses Type-3 Fuzzy Logic and neural networks to simulate tumor-immune dynamics under uncertainty and chaos. The model generates 'bands of uncertainty' and provides interpretable results, enabling physicians to understand the 'why' behind predictions.
A team of researchers from Japan Advanced Institute of Science and Technology proved that Dudeney's original solution to the famous dissection problem is the optimal solution. They used a novel approach, including matching diagrams, to show that no dissection between an equilateral triangle and a square can be achieved with three or fe...
A multi-university research team led by University of Virginia engineering professor Gustavo K. Rohde has developed a system that can accurately spot genetic markers of autism in brain images. The system uses generative computer modeling technique called transport-based morphometry, which reveals brain structure patterns that predict v...
Researchers created RoboFabric, a wearable fabric that can stiffen on demand for medical applications and soft robotics. The technology reduces muscle activity by up to 40% when assisting joints while lifting loads.
Osaka University researchers have developed an AI-driven algorithm to control indoor heating and cooling systems, achieving significant energy savings of up to 30%. The system learns the symbolic relationships between variables, including power consumption, based on a large dataset, ensuring comfortable temperatures despite winter cond...
A Texas A&M team is studying the impact of cryptocurrency mining on the state's power grid, revealing a potential for demand flexibility during times of peak energy usage. The research suggests that when the grid is stressed due to heatwaves or other factors, cryptocurrency miners can shut down, providing a buffer against strain.
Researchers from City University of Hong Kong developed a unified colour system based on prime numbers, called C<sub>235</sub>, which can represent various colours more efficiently than existing systems like RGB and CMYK. The new colour system has potential applications in designing energy-saving LCD systems and colourizing DNA codons.
Research has found that extreme ocean waves can arise from modulation instability in multi-directional wave systems, challenging previous assumptions. The study demonstrates that crossing sea waves can trigger the formation of extreme waves, posing a growing risk to marine infrastructure and coastal communities due to climate change.
A breakthrough computer model from Chalmers University of Technology reveals the properties of an atomic nucleus, providing insights into the strong force that governs neutron star behavior. The model predicts a surprisingly thin neutron skin, which could lead to increased understanding of heavy element creation in neutron stars.
The Department of Energy has awarded Early Career Research Program funding to three Oak Ridge National Laboratory scientists. The awardees will receive $500,000 annually for five years to support their research in fusion energy, advanced scientific computing, and biogeochemical controls on phosphorus cycling.
GIST researchers propose a new strategy for crime prevention using artificial intelligence, trained on a large-scale dataset of deviant incident reports and corresponding images. The model, called DevianceNet, can accurately classify and detect deviant places, making it a useful tool in urban safety development.
A KAUST-led research team has developed an approach to mix high-precision calculations with lower precision for large geospatial datasets, significantly speeding up modeling without overall precision loss. The technique, implemented on high-performance computing systems, will enable larger datasets to be analyzed in shorter timeframes.
Qiang Du, a leading applied mathematician at Columbia University, has been elected an AAAS Fellow for his distinguished work in applied and computational mathematics. His research focuses on theoretical analysis, numerical simulations, and mathematical modeling of various applications.
James M. Crowley, SIAM's Executive Director, has been named a Fellow of the American Association for the Advancement of Science (AAAS) for his outstanding record as a scientific administrator in the US Air Force and his two decades of leadership at SIAM. Crowley holds a PhD in Applied Mathematics from Brown University.
Dr. Leslie F. Greengard has been awarded the 2014 John von Neumann Lecture prize for his transformative contributions to computational science. He will receive the award and deliver a keynote lecture on Fast, Accurate Tools for Physical Modeling in Complex Geometry at the SIAM Annual Meeting in Chicago.
Lexing Ying, a professor of mathematics at Stanford University, will receive the SIAM's James H. Wilkinson Prize for his outstanding contributions to numerical analysis and scientific computing. His research focuses on designing fast and accurate algorithms for fundamental problems in scientific computing.
Professor Bjorn Engquist received the Peter Henrici Prize for his fundamental contributions to applied and computational mathematics, with a focus on scientific computing and engineering applications. He also delivered the associated lecture, Fast Algorithms for High Frequency Wave Propagation, at ICIAM 2011.
The George Pólya Prize recognizes Emmanuel Candès and Terence Tao's work on compressive sensing and matrix completion. Their algorithms enable efficient reconstruction of sparse, high-dimensional data with few measurements.
Professor Abdulle is recognized for his outstanding contributions to applied mathematics fields, including stability analysis and mathematical software for stiff initial value problems. He will receive a monetary award and present the 2009 Wilkinson Prize Lecture on July 10.
Franco Brezzi, a prominent figure in computational mathematics, has been awarded the 2009 John von Neumann Lecturer honor by SIAM. His work on numerical stability and stabilization techniques has significantly advanced our ability to simulate complex physical phenomena.
Weinan E, a professor at Princeton University, will be awarded the Ralph E. Kleinman Prize for his exceptional work on stochastic partial differential equations and turbulence. He is recognized for his ability to bridge the gap between mathematics and applications, with an impact on various fields such as materials science and physics.
Max Gunzburger, a FSU professor, will receive the Reid Prize for his contributions to control of distributed parameter systems and computational mathematics. He will also deliver the Reid Prize Lecture on July 9, showcasing his research interests in various fields including geophysical flows and partial differential equations.
Gilbert Strang received the Peter Henrici Prize for his work in applied and numerical analysis, including finite element methods, linear algebra, and wavelets. The prize is awarded jointly by ETHZ and SIAM.
UCLA's Xinwei Yu received the DiPrima prize for his dissertation on 3D incompressible Euler flows and related equations, demonstrating new necessary conditions for blowup of solutions. The prize recognizes Yu's outstanding research in applied mathematics and acknowledges his work as a young scientist.