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Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions
arXiv:2606.03407v1 Announce Type: cross Abstract: We give detailed analysis and circuit design of structure-preserving quantum algorithms for second-order linear evolutionary PDEs, including parabolic equations and hyperbolic equations with mixed Dirichlet, Neumann, and periodic boundary conditions and source terms. While prior quantum algorithms usually neglect the stability problem from the PDE-to-ODE reduction, our method-of-lines approach investigates the boundary lifting via Coons...
What Is the Democrats’ Answer to ‘America First’?
The Democratic Party’s foreign-policy experts assembled what they dubbed a shadow cabinet during President Trump’s first term to counter the new leader’s disruptive approach to global affairs. As Trump harangued allies and threatened to abandon NATO, the group condemned his deference to Russian President Vladimir Putin and his support for the Saudi war in Yemen, proposed alternative policies, and called for a restoration of the rules-based order. The idea was to convene such governmental and...
SEE IT: Dem senators dodge on backing Platner as Maine candidate’s scandal clouds final days before primary
Several Democratic senators repeatedly declined to say whether they still support Maine Democratic Senate candidate Graham Platner when pressed about leaked explicit sexual messages tied to the candidate. Platner’s latest controversy in the public eye involves sexually explicit text exchanges with multiple women that surfaced publicly while he was married to his wife, Amy Gertner. The Maine candidate also has an active profile on Kik — private messaging app associated with casual sex and...
Top Democrats back Platner despite abuse allegations after demanding accountability in Kavanaugh fight
Prominent Democrats who once argued misconduct allegations against Supreme Court Justice Brett Kavanaugh warranted investigation and public scrutiny are taking a different approach after abuse allegations surfaced against Democratic Senate candidate Graham Platner. Multiple former girlfriends of Platner, who is running to unseat Republican Sen. Susan Collins in Maine, described troubling conduct to The New York Times, with one former girlfriend accusing him of physical aggression during...
Head first into Claude: Anthropic bets big on India
TOI correspondent from Washington: In the rapidly escalating global race to harness artificial intelligence for cyberwarfare and cyberdefense, India finds itself in an unusually exclusive club. Anthropic, the US artificial i ntelligence company behind Claude AI, this week expanded access to its highly restricted cybersecurity model, Mythos, to roughly 150 organizations across more than 15 countries, including India, under an initiative called Project Glasswing.
Top Democrats back Platner despite abuse allegations after demanding accountability in Kavanaugh fight
Prominent Democrats who once argued misconduct allegations against Supreme Court Justice Brett Kavanaugh warranted investigation and public scrutiny are taking a different approach after abuse allegations surfaced against Democratic Senate candidate Graham Platner. Multiple former girlfriends of Platner, who is running to unseat Republican Sen. Susan Collins in Maine, described troubling conduct to The New York Times, with one former girlfriend accusing him of physical aggression during...
SEE IT: Dem senators dodge on backing Platner as Maine candidate’s scandal clouds final days before primary
Several Democratic senators repeatedly declined to say whether they still support Maine Democratic Senate candidate Graham Platner when pressed about leaked explicit sexual messages tied to the candidate. Platner’s latest controversy in the public eye involves sexually explicit text exchanges with multiple women that surfaced publicly while he was married to his wife, Amy Gertner. The Maine candidate also has an active profile on Kik — private messaging app associated with casual sex and...
US pushes new Israel-Lebanon ceasefire plan; Trump revises Iran proposal
The United States has proposed a new plan aimed at reducing tensions between Israel and Lebanon as fighting continues along the border, while President Donald Trump has reportedly sent back a separate proposed agreement with Iran for further revisions. US Secretary of State Marco Rubio spoke with Lebanese President Joseph Aoun and Israeli Prime Minister Benjamin Netanyahu on diplomatic negotiations between Israel and Lebanon, a US official said on Sunday. According to the official,...
Saban to Congress: College bill will 'bring order'...
Former Alabama coach Nick Saban faced several United States senators Wednesday morning in a historic hearing on Capitol Hill and pleaded for Congress to "bring order to a system that badly needs fixing" in the NIL and transfer portal era. "Congress does not need to micromanage college athletics," Saban said in a nearly packed room during the Senate Commerce, Science and Transportation Committee hearing. "Congress does need to fix the mess in the courts and create a national framework so the...
'Tougher language': Why Trump sent back revised Iran deal text
Just a week after declaring a proposed agreement with Iran "largely finalised", US President Donald Trump has reportedly sent the Iran deal back for revisions, prolonging negotiations and casting fresh uncertainty over efforts to end the conflict. According to CNN, Trump requested tougher provisions on Iran's nuclear commitments and the reopening of the Strait of Hormuz during a meeting with advisers. He has also expressed concern over the extent of financial relief that could be offered to...